The temperature in Duluth, Minnesota was -23F at sunrise. By noon, the temperature had risen 19 degrees. What was the temperature (in degrees Fahrenheit) at noon?
Answer:
Step-by-step explanation:
-23 + 19 = -4
At noon the temperature was -4 degrees F.
8. Given that cos 68° 0.743, what is the sine of the
complementary angle?
The sine of the complementary angle of 68° is 0.375.
What is a complementary angle?
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
The complementary angle of 68° is calculated as;
θ = 90 - 68°
θ = 22°
sin (22° ) = 0.375
Learn more about commentary angles here: https://brainly.com/question/16281260
#SPJ1
Suppose that you are given the following expression: -(-20). Which of the following is NOT equivalent to ?-(-20) A. 20 B.-20 C.[20} D.{-20} E.-(-(-(-20)))
The expression that will not be equivalent to the number given -(-20) is -20 (option D).
What is the meaning of equivalent?A number is said to be equivalent not only if the number is equal in value, for example, 15 = 10 + 5, but also if the negative or positive sign is equal, for example, 5 is not equal to -5.
What option is not equivalent?The original expression is -(-20), this expression can be simplified as 20 or +20 considering that minus plus minus is equivalent to +. Based on this, the expression that is not equivalent is -20.
Learn more about equivalence in https://brainly.com/question/14672772
#SPJ1
The two smaller triangles below were created by drawing an altitude in the larger triangle. Write a similarity statement
relating the 3 triangles.
A. CBD-CDA-DBA
B. ABD-DAC-DBA
C. ABC-DAC-DBA
D. CBA-CDA-DBA
This question finds congruent triangles. A similarity statement relating the 3 triangles is ABC-DAC-DBA.
Condition of The Congruent TrianglesFrom the triangle ABC-DAC-DBA, it has conditions that can be said to be congruent, because it has side lengths with patterned comparisons if the magnitudes are not the same.
The conditions for two congruent plane shapes, namely:
The corresponding sides are the same length. The corresponding angles are equal.The above conditions also apply to congruent triangles.
Two triangles are congruent if they have:
The two sides and the angles they support are equal An edge and two angles on that side are equal The most certain if the three corresponding sides are equalLearn more about congruence at
https://brainly.com/question/7888063
#SPJ1
What type of proof is used extensively in Geometry?
one-column proof
two-column proof
three-column proof
inductive proof
none of the above
The only sort of proof among the following options in the question that is frequently employed in geometry is the 'two-column' proof.
What is geometry?Geometry is the area of mathematics that deals with the characteristics of space and the shapes of particular things as well as the interactions between them in space.
A two-column geometric proof consists of a list of assertions and the justifications for each one's truth.
The statements are listed in a left-hand column, while the justifications for the statements are listed in a right-hand column.
learn more about geometry here :
https://brainly.com/question/29391145
#SPJ1
What is the sum of the measures of the interior angles of a 20-sided figure?
Responses
3,240°
360°
3,600°
180°
Answer:
3,240°
Step-by-step explanation:
The sum of the measures of the interior angles of a polygon with n sides can be found using the formula:
(n-2) * 180°
So, for a 20-sided figure, the sum of the interior angles would be:
(20-2) * 180° = 18 * 180° = 3,240°
6 Find the area of the figure. 5. 3 in. 10 in. 4 in. 7 in. A 101. 8 square inches B 43. 9 square inches C 64. 9 square inches D 78. 6 square inches
The area of the rectangle would be equal to the sum of the areas of these 12 squares.
The area of a rectangle is a measure of the amount of space it covers. It is calculated by multiplying the length and the width of the rectangle.
For a rectangle with sides of 3 cm and 4 cm, the area can be found by multiplying 3 by 4. The formula for finding the area of a rectangle is
=> A = l * w,
where l is the length and w is the width.
So, for the rectangle with sides 3 cm and 4 cm, the area would be
=> A = 3 * 4 = 12 square centimeters.
To visualize this, imagine a rectangle with sides of 3 cm and 4 cm. If you placed 12 squares of 1 cm each inside this rectangle, it would fill up the entire rectangle without any space left.
Complete Question:
Find the areas of the rectangles whose sides are:
(a) 3 cm and 4 cm
To know more about area here.
https://brainly.com/question/14994710
#SPJ4
Travis decided to make a frame for his birthday. The frame will be cut out of a piece of steel, and the final area of the frame should be 30in². The inside of the frame has to be 11in by 6 in The area of the piece of steel before cutting out the frame is A = (11+2x)(6+2x)in²
the width of the frame is 0.806 inches.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given this, Travis decided to make a frame for his birthday. The frame will be cut out of a piece of steel, and the final area of the frame should be 30in².
Since,
Area of frame = total area - cut out area
In our case, it is given that,
Total area = (11+2x)(6+2x)in²
cut out area = 11*6 = 66
So,
30 = (11+2x)(6+2x) - 66
(11+2x)(6+2x) = 96
66 + 12x +22x +4x² = 96
4x² + 34x -30 = 0
x = 0.806 in
therefore. the width of the frame is 0.806 inches.
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ1
Complete question:
convert 4582 base 10 to base 2
Answer:
458210 in binary
10001111001102
To convert decimal number 4582 to binary, follow these steps:
Divide 4582 by 2 keeping notice of the quotient and the remainder.
Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get binary equivalent of decimal number 4582.
Using the above steps, here is the work involved in the solution for converting 4582 to binary number:
4582 / 2 = 2291 with remainder 0
2291 / 2 = 1145 with remainder 1
1145 / 2 = 572 with remainder 1
572 / 2 = 286 with remainder 0
286 / 2 = 143 with remainder 0
143 / 2 = 71 with remainder 1
71 / 2 = 35 with remainder 1
35 / 2 = 17 with remainder 1
17 / 2 = 8 with remainder 1
8 / 2 = 4 with remainder 0
4 / 2 = 2 with remainder 0
2 / 2 = 1 with remainder 0
1 / 2 = 0 with remainder 1
Then just write down the remainders in the reverse order to get the answer, The decimal number 4582 converted to binary is therefore equal to :
1000111100110
please can you solve the question
`
Answer:
x = 115°
y = 50°
Step-by-step explanation:
it is an isosceles triangle, the angles at the base are congruent, x is the opposite angle of 115°, therefore the same value, to find y we subtract the two 65° angles from the sum of the internal angles of the triangle (180°) and we have 50 ° which is the value of Y, look at the figure to understand better
What is the answer to this problem solving for X? (12x-8=10x+6)
something2730 (question 7 only)
Answer:2737
Step-by-step explanation:
B and D meet at a 75º, as does A and C
thomas buys a case of bottled water. the case contains 36 bottles of water and costs $4.69. thomas will sell each bottle of water for $0.75 at a school event. how much profit will thomas earn if he sells all the bottles of water
Answer: $ 0.62
Step-by-step explanation:
First, find out the cost of each bottle:
$4.69/ 36 bottles = $0.1297
= $0.13
Therefore, the profit is:
$0.75 - $0.13 = $ 0.62
How many subsets are there of the set N = {1}?
Answer:
A Set With One Element
So any set with one element will have 2 subsets.
Step-by-step explanation:
9=p-12;29,30,31 with one is the answer I said 29 and was wrong help me !!!
Answer: The equation 9 = p - 12 can be solved for p by adding 12 to both sides:
p = 9 + 12 = 21.
So the correct answer to the question "29, 30, 31 with one is the answer" would be 30, as it is the only one that equals 21.
Step-by-step explanation:
Using a standard deck of 52 cards, Lisa drew a card, recorded the suit of the card picked, then replaced it back in the deck. She continued this for a total of 40 draws. The table shows the frequency of each type of card drawn.
The experimental probability of not selecting a heart is (D)P(not heart) = 77.5%
How to find the experimental probability ?The experimental probability that a heart is selected is:
= Number of times hearts was selected / Number of times Lisa drew a card
= 9 / 40
This then means that the experimental probability of not selecting a heart is:
= 1 - experimental probability of selecting a heart
= 1 - 9 / 40
= 31 / 40
= 0. 775
= 77. 5 %
Find out more on experimental probability at https://brainly.com/question/8652467
#SPJ1
The question is:
Determine the experimental probability of not selecting a heart.
(A) P(not heart) = 9%
(B) P(not heart) = 10%
(C) P(not heart) = 67.5%
(D)P(not heart) = 77.5%
point p partitions directed segment AB in the part to part ratio of 4:4. If A(5,-7) and B(1,-1), find the y-coordinate of P. Round your answer to 2 decimals
Using the fact that P is the midpoint of the segment AB, we will see that its y-value is -4.
How to find the y-coordinate of P?We know that point P partitions directed segment AB in the part to part ratio of 4:4.
Notice that the ratio is equivalent to 1:1
So point P is just the midpoint of the segment, remember that for a segment whose endpoints are (a, b) and (c, d), the midpoint is:
M= ( [a+ c]/2, [b + d]/2)
P is the midpoint of (5,-7) and (1,-1), then the value of the y-coordinate of P is:
y = (-7 + (-1))/2
y = (-7 - 1)/2
y = -4
Laern more about midpoints at:
https://brainly.com/question/5566419
#SPJ1
Rewrite the formula in terms of m.
Answer:
The answer is in the attachment
Step-by-step explanation:
the length of a rectangle is 6 more than twice the width. the perimeter is 150 meters. find the length and width.
Answer:
The length is 52 meters and the width is 23 meters.
Step-by-step explanation:
Let l stand for length, and w stand for width.
l = 2w + 6
The length is 6 more than twice the width.
2l + 2w = 150
Twice the length plus twice the width is the perimeter of a rectangle.
2(2w + 6) + 2w = 150
4w + 12 + 2w = 150
6w + 12 = 150
6w = 138
w = 23
l = 2(23) + 6
l = 46 + 6
l = 52
Let's roll a die and let E be the event defined as {346}. Find P(E).
% (Round the answer to 2 decimals.)
The probability of an event for rolling a die P(E) is 1/2.
What is the probability of an event?
The probability of an event is a number (always positive) that expresses the likelihood that the event will occur. The likelihood that an event will occur falls between zero and one. A certain occurrence has a probability of one while an impossible event has a chance of zero. As implied by its name, probability deals with uncertainty.
Given, E be the event defined as {3,4,6}
So, the total number of an event E, n(E) = 3
For a die, total events are {1,2,3,4,5,6}
So, the total number of rolls of a die event, n(T) = 6
Then,
P(E) = [tex]\frac{n(E)}{n(T)} = \frac{3}{6} = \frac{1}{2}[/tex]
So, the required value of P(E) is 1/2.
To learn more about the probability of an event
https://brainly.com/question/25839839
#SPJ1
5 subtracted from 1/3 of 20
IN FRACTIONS
The least common multiple of 3 and 5 is 15, so we convert 5 to 15/3.So the answer is 5/3.
The calculation in fractions:
1/3 of 20 = (1/3) * 20 = 20/3
5 subtracted from 1/3 of 20 = 20/3 - 5
To simplify the expression 20/3 - 5, we need to subtract 5 from 20/3 by finding a common denominator between 5 and 20/3. The least common multiple of 3 and 5 is 15, so we convert 5 to 15/3:
20/3 - 5 = 20/3 - 15/3 = (20 - 15)/3 = 5/3
So the answer is 5/3.
Fractions are a way of representing numbers as ratios of two integers. The top number of a fraction is called the numerator, and the bottom number is called the denominator. The numerator represents the number of parts of the whole that are being considered, and the denominator represents the number of equal parts that make up the whole.
For example, the fraction 1/2 represents 1 part out of 2 equal parts that make up the whole.
To learn more about expression:
https://brainly.com/question/16804733
#SPJ4
help on both problems
Answer:
the shape is different
Step-by-step explanation:
you draw the shapes
Help please (will mark as brainlest)
[tex] - a {x}^{2} + 2x + a - 5[/tex]
The value:[tex] - 183[/tex]
The double number line shows that Henrik has a mass of 60\,\text{kg}60kg60, start text, k, g, end text. A double number line with 2 tick marks. The line labeled Mass, kilograms, reads from left to right: 0, 60. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. A double number line with 2 tick marks. The line labeled Mass, kilograms, reads from left to right: 0, 60. The line labeled Percentage, reads from left to right: 0 percent, 100 percent. Complete the table to show different percentages of Henrik's mass. Mass (\text{kg}kgstart text, k, g, end text) Percentage 100\%100%100, percent of 60\,\text{kg}60kg60, start text, k, g, end text 20\%20%20, percent of 60\,\text{kg}60kg60, start text, k, g, end text 40\%40%40, percent of 60\,\text{kg}60kg60, start text, k, g, end text
The double number line is discussed below.
What is number line?In elementary mathematics, a number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
Given is a double number line.
A double number line diagram uses a pair of parallel number lines to represent equivalent ratios.
The locations of the tick marks match on both number lines.
The tick marks labeled 0 line up, but the other numbers are usually different.
The lines in a double number line diagram are similar to the number lines students have seen in earlier grades in that -
Numbers correspond to distances on the line (so that the distance between, say, 0 and 12 is three times the distance between 0 and 4).We can choose what scale to use (i.e., whether each interval represents 1 unit, 2 units, 5 units, etc.).The lines can be extended as needed.Therefore, the double number line is discussed above.
To solve more questions on number lines, visit the link below-
https://brainly.com/question/14706297
#SPJ1
which rule uses actual probability distributions to determine if hiring decisions have had adverse impact on minority groups? multiple choice question. the prima facie rule the standard deviation rule the four-fifths rule the bona fide occupational qualification rule
The prima facie rule uses actual probability distributions to determine if hiring decisions have had adverse impact on minority groups.
What do you mean by prima facie rule?The "prima facie" rule refers to a legal standard or a evidentiary standard used in the field of employment discrimination law. In the context of employment discrimination, a prima facie case refers to the minimum evidence required to establish a presumption of discrimination.
The term "prima facie" comes from Latin and means "at first sight" or "on its face." In other words, a prima facie case of discrimination is established if, at first sight, the evidence suggests that discrimination has taken place. Once a prima facie case has been established, the burden of proof shifts to the employer to provide a non-discriminatory explanation for the actions in question.
It is more commonly used in legal and ethical contexts to refer to a case or argument that is initially strong enough to establish a point, but may be challenged or overcome by further evidence or argument.
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ4
7)
3)
5)
Determine if the two triangles are congruent. If they are, state how you know.
2)
1)
A
6)
SSS?
SAS?
Some triangle pairs are congruent triangles but some others are not, because:
Congruent; 2 pairs of corresponding angles and 1 corresponding side Congruent; 2 pairs of corresponding sides and 1 corresponding angleCongruent; 2 pairs of corresponding angles and 1 corresponding sideCongruent; 3 pairs of corresponding sidesNot congruent; only 2 pairs of corresponding sidesCongruent; 1 pair of corresponding side and 2 corresponding anglesNot congruent; only 3 pairs of corresponding anglesNot congruent; only 3 pairs of corresponding anglesA pair of triangles is congruent if they have one of these criterias:
SSS (three corresponding sides)SAS (2 pairs of corresponding sides and 1 pair of corresponding angle between those side pairs)ASA (2 pairs of corresponding angles and 1 pair of corresponding side between those angle pairs)AAS (2 pairs of corresponding angles and 1 pair of corresponding side not between the angles)HL (Congruent hypotenuse and 1 pair of corresponding side)Let's explore each triangle pairs we have:
Pair 1
We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides between the angles .
Pair 1 meet ASA rules --> Congruent triangles
Pair 2
Pair 2 has 1 corresponding angle and 2 pairs of corresponding sides
Pair 2 meets SAS rules --> congruent triangles
Pair 3
We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides between the angles.
Pair 3 meet ASA rules --> Congruent triangles
Pair 4
Pair 4 has 3 corresponding sides and meets SSS rules --> congruent triangles
Pair 5
Pair 5 only has 2 corresponding sides --> not congruent triangles
Pair 6
We know that both triangle have a vertical angle on its connection, hence both angles are congruent. They also have another pair of corresponding angles and 1 pair of corresponding sides not between the angles.
Pair 6 meet AAS rules --> Congruent triangles
Pair 7
We know that both triangle have a vertical angle on its connection, hence both angles are congruent. Pair 7 also has another 2 corresponding angles. In total, pair 7 has 3 corresponding angles.
Pair 7 is not congruent triangles because three corresponding angles might have different size of sides. A pair of triangles can be congruent only if there is at least one pair of corresponding side between them.
Pair 8
We know that both triangle have a vertical angle on its connection, hence both angles are congruent. Pair 8 also has another 2 corresponding angles. In total, pair 8 has 3 corresponding angles.
Pair 8 is not congruent triangles because three corresponding angles might have different size of sides. A pair of triangles can be congruent only if there is at least one pair of corresponding side between them.
Learn more about Congruent Triangles here: brainly.com/question/22062407
#SPJ1
A farmer wants to fence a rectangular area along a river, dividing it into 3 pens as
shown in the picture below.
Width
Length
What are the dimensions of the fenced in area if he only has 300 yards and the
length is 0 yards more than 11 times the width?
The farmer requests that the pen's length be 20 feet longer than its breadth. If we use the symbol w to indicate width. The length would then equal w + 20.
How does farmer math work?You play the part of a middle schooler who is attempting to make your family's farm profitable in Farmer Math.
The challenge first asks us to determine the longest length given that the fencing will not exceed 100 feet.
We are aware that a rectangular area's perimeter is 2l + 2w (where l is the length and w the width)
Therefore, 2l + 2w 100 would be required for the fencing.
In order to solve for w, we will use the values for l and w that we mentioned in the beginning:
2l + 2w ≤ 100
2(w+20) +2w ≤ 100
2w + 40 +2w ≤ 100
4w ≤ 100 - 40
4w ≤60
w ≤ 15
The breadth must therefore be less than or equal to 15.
The longest length is achieved when the width is at its greatest value because the length is 20 feet greater than the width.
This makes the length at w = 15 the longest it can possibly be, at 35.
To know more about length visit:-
brainly.com/question/19238180
#SPJ1
If the first 4 questions are True/False and the last 4 questions are Multiple Choice (a, b, c, or d). What is the probability that they will get them all correct?
The probability of getting all 8 questions correct is 1/4096 or approximately 0.024%.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
The probability of getting a True/False question correct is 1/2, since there are only two possible answers. The probability of getting a multiple-choice question correct is 1/4 since there are four possible answers.
So, for the first 4 True/False questions, the probability of getting them all correct is (1/2)⁴ = 1/16.
For the last 4 multiple-choice questions, the probability of getting them all correct is (1/4)⁴ = 1/256.
The total probability of getting all 8 questions correct is the product of the probabilities of getting each set of questions correct:
(1/16) x (1/256) = 1/4096
So, the probability of getting all questions correct is 1/4096 or about 0.024%.
Learn more about probability here:
brainly.com/question/11234923
#SPJ1
complaints about an internet brokerage firm occur at a rate of 5 per day. the number of complaints appears to be poisson distributed. a. find the probability that the firm receives 6 or more complaints in a day. probability
The probability of a day in which the company receives 6 or more complaints is 0.3721 likely, or about 37.21%.
What is probability ?A subfield of mathematics called probability is concerned with the investigation of uncertain events. It is the measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. The higher the probability, the more likely it is that the event will occur.
Given that the number of complaints per day follows a Poisson distribution with a rate parameter λ = 5.
Assume X is a random variable that represents the daily complaint rate.
The probability of receiving 6 or more complaints can be calculated as follows:
we can calculate the probability of X being less than 6 complaints per day as follows:
P(X < 6) = F(5) = e^(-λ) * Σ(λ^k / k!, k=0 to 5)
where e is the base of the natural logarithm, Σ denotes the sum from k=0 to 5, and k! denotes the factorial of k.
Substituting the value of λ = 5, we get:
P(X < 6) = e^(-5) * Σ(5^k / k!, k=0 to 5)
= 0.0337 + 0.1404 + 0.1755 + 0.1463 + 0.0916 + 0.0404
= 0.6279
Therefore, the probability of receiving 6 or more complaints in a day is:
= 1 - 0.6279
= 0.3721
To know more about logarithm visit:
https://brainly.com/question/30226560
#SPJ1
Camden just accepted a job at a new company where he will make an annual salary of $43000. Camden was told that for each year he stays with the company, he will be given a salary raise of $2000. How much would Camden make as a salary after 7 years working for the company? What would be his salary after tt years?
The solution is, the salary of the Luke after 10 years is 98000 dollars & the salary of the Luke after t years is 53000+4500t .
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
Given data:
* The starting salary of the Luke in the new company was,
S1 = 53000
* The salary raise given to Luke each year is,
R = 4500
(a). The salary of the Luke after 10 years is,
S = S1 +R*10
S = 53000 + ( 4500* 10)
S = 98000
Thus, the salary of the Luke after 10 years is 98000 dollars.
(b). After the t years,
S = S1 +R*t
S = 53000 + ( 4500* t)
S = 53000+4500t
Thus, the salary of the Luke after t years is 53000+4500t .
To learn more on simplification click:
brainly.com/question/28996879
#SPJ1