Answers
Answer:
D
Step-by-step explanation:
If sinθ = -2/3, the hypotenuse is 3. Therefore, the answer is either C or D. Then, use the pythagorean theorem to determine the value of the last leg. And the answer is D
Related Questions
Which situation results in a final value of zero?
A. The overall change in temperature when the temperature goes from -10 degrees fahrenheit, to 10 degrees fahrenheit.
B. The total profit made from when a person buys an item for $2.25, and then sells the item for $2.25.
C. The overall change in altitude in a hot air balloon after rising 21 kilometers from sea level.
D. The total distance a person travels when he bikes 3.1 miles to school and the bikes 3.1 miles back home.
Answers
Answer:
B
Step-by-step explanation:
The profit made is equal to 2.25-2.25 which is 0.
The situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero. which is the correct answer would be an option (B).
What is the distance?Distance is defined as the product of speed and time.
As per option (A),
The overall change in temperature = 10 - (-10) = 20 degrees
As per option (B),
The profit made is equal to 2.25 - 2.25 = 0 which is zero.
As per option (C),
The overall change in altitude = 21 - 0 = 21 kilometers
As per option (D),
The total distance traveled by person = 3.1 + 3.1 = 6.2 miles
Thus, the situation "the total profit is made when a person buys an item for $2.25 and then sells the item for $2.25" is result in a final value of zero.
Hence, the correct answer would be option (B).
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A park near Raphael’s home is shaped like a trapezoid.
To find its area, Raphael walked along the short base and measured it.
Then he walked at a right angle and measured the distance to the other side of the park.
Finally he measured the long distance of the base.
Use Raphael’s measurements shown below to find the area of the park.
Enter your answer in the box.
A trapezoid with short base one hundred forty-five yards, long base two hundred twenty-five yards, and height eighty yards.
Answers
Answer:
14800
Step-by-step explanation:
To find the area of a trapezoid you and the little base and the big base. then divide the answer by two. Then you multiply the answer you just got by the height.
Equation:
145+225=370
370/2=185
185*80=14800
Area of the park is 14800 square yards
What is Trapezoid?A quadrilateral with at least one pair of parallel sides is called Trapezoid
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
Given,
Short base a = 145 yards
Long base b = 225 yards
Height h = 80 yards
Area of the park = [tex]\frac{a+b}{2}h[/tex]
Area of the park =[tex](\frac{145+225}{2})80[/tex] = 14800 square yards
Hence, the area of the park is 14800 square yards
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Question 2
The measures of two supplementary angles are in the ratio of 2: 3. Find the measurements of the two angles.
Question 3
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.
Answers
Answer:
1 ) m∠ 1 = 72°, m∠2 = 108°,
2 ) m∠ 1 = 22.5°, m∠2 = 67.5°
Step-by-step explanation:
Question 2 ) Assuming these are supplementary angles, we know that their measures form a linear pair that add to 180°;
let us assign these angles as 1, and 2 ⇒ m∠ 1 + m∠ 2 = 180,
with the given ratios 2 to 3, we can say x ⇒ one part of measure, so that ⇒ 2x + 3x = 180,
2x + 3x = 180 ⇒ combine like terms,
5x = 180 ⇒ divide either side by 5,
x = 36°
If this is so, m∠ 1 = 2x = 2 * ( 36 ) = 72°, and m∠ 2 = 3x = 3 * ( 36 ) = 108°;
Solution; m∠ 1 = 72°, m∠2 = 108°
Question 3 ) If it is known that two angles are complementary to one another, we can say their measures add to 90°;
let us one more, assign these angles as 1 and 2 ⇒ m∠ 1 + m∠ 2 = 180,
knowing that the measure of one angle is 3 times that of the other angle we can derive the ratio 1 : 3 in the manner smaller ∠ measure : bigger ∠ measure so that ⇒ x + 3x = 90,
x + 3x = 90 ⇒ combine like terms,
4x = 90 ⇒ divide either side by 4,
x = 22.5
If this is so, m∠ 1 = x = 1 * ( 22.5 ) = 22.5°, and m∠ 2 = 3x = 3 * ( 22.5 ) = 67.5°;
Solution; m∠ 1 = 22.5°, m∠2 = 67.5°
Factor completely: b^8+a^2b^4+1/4a^4
Answers
Answer:
(b^4+a^2/2)^2
Step-by-step explanation:
PLEASE HELP
Find the diameter of the object.
Answers
Answer:
d the diameter is 4 inches.
Step-by-step explanation:
d=2r=2×2=4
The ratio of the number of students at the zoo in the morning to the number of students at the zoo in the afternoon was 5:3. There were 145 students at the zoo in the morning. What was the number of students at the zoo in the afternoon?
Answers
Answer:
87 in the afternoon
Step-by-step explanation:
morning: afternoon
5 3
There were 145 in the morning
145/5 =29
Multiply each side by 29
morning: afternoon
5*29 3*29
145 87
There are 87 in the afternoon
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answers
Answer:
43%
Step-by-step explanation:
What is the equation of a line that passes through points (0, 4) and (-4, -8)? y = 2x + 4 y = 2x - 4 y = 3x + 4 y = 3x - 4
Answers
Answer:
y= 3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
To find the value of m, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient
[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation.
y= 3x +c
To find the value of c, substitute a coordinate.
When x=0, y=4,
4= 3(0) +c
c=4
Thus, the equation of the line is y= 3x +4.
Please help me with the question below!! PLEASEEEE
Answers
Answer:
32
Step-by-step explanation:
22 + 44 + 24 + 78 = 168
200 - 168 = 32
The table shows the number of tennis balls that can fit into a given number of cans each can holds the same number of balls fill in the missing value in the table
Answers
Step-by-step explanation:
i could have answer it if you have given the table too!
that's it ....
Answer:
5
Step-by-step explanation:
2 x 3 = 6
5 x 3 = 15
7 x 3 = 21
9 x 3 = 27
The measure of one supplementary angle is 45 degrees more than twice the measure of the other. Write an equation to find the measure of each angle. Solve to find each angle
Answers
Answer:
45 , 135
Step-by-step explanation:
LET ONE ANGLE BE x AND OTHER ANGLE BE 45+2x
since they are supplementary angles ,
x+2x+45=180
3x = 180 -45
3x = 135
x = 135/3
x =45 degree
therefore measure of one angle = 45 degree and other angle angle = 2*45+45 = 90+45 = 135 degree
hope it helps
Alan has read 80% of a book. He has 4 more pages to finish. How many pages are there in the book?
Answers
Answer:
20 pages
Step-by step:
4 pages = 20%
20(5)=100 so 4(5)= 100% of the book
4(5)= 20
the book has 20 pages.
Answer:
20 pages
Step-by-step explanation:
If 100%-80%=4 pages
then 20%=4 pages (multipy both sides by 5)
100%=20
20 pages
(05.01 LC)
Look at the figure shown below:
A triangle RPQ is shown. S is a point on side PQ and T is a point on side PR. Points S and T are joined using a straight line. The length of PS is equal to 28, the length of SQ is equal to 2x, the length of PT is equal to 35 and the length of TR is e
Rita is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 24.
Statement Reason
1. Segment ST is parallel to segment QR Given
2. Angle QRT is congruent to angle STP Corresponding angles formed by parallel lines and their transversal are congruent
3. Angle SPT is congruent to angle QPR Reflexive property of angles
4. Triangle SPT is congruent to triangle QPR Angle-Angle Similarity Postulate
5. (2x + 28):95 = Corresponding sides of similar triangles are in proportion
Which of the following can she use to complete statement 5? (1 point)
28:95
28:35
60:95
60:35
Answers
Answer:
28:35
Step-by-step explanation:
Since Rita is trying to prove that the two triangles are similar, she will be looking for corresponding sets of sides that have an equivalent ratio. Therefore, since for the big triangle she uses sides PQ and PR, the corresponding sides on the smaller triangle would be PS and PT, which have a ratio of 28:35. Hope this helps!
The statement is completed by 28 :35, the correct option is B.
What are Similar Triangles?Two triangles of the same shape are said to be similar when their corresponding sides are proportional.
The triangle RPQ
The length of PS is equal to 28
The length of SQ is equal to 2x
The length of PT is equal to 35
The length of TR is equal to 60
The triangles SPT and QPR are proved to be similar in Step 4 by the property that corresponding sides of similar triangles are in proportion.
(2x + 28):95 =28 :35
Therefore, the statement is completed by 28 :35, the correct option is B.
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Calculate the range for both sets of data:
Set A: 4.8, 8.2, 5.1, 10, 3.2, 2.8, 0.4
Set B: 3.6, 9.2, 6.7, 6.4, 5.9, 8
Answers
So the range of set A is 9.6
The range of set B is 5.6
Look at the attached picture
Hope it will help you
Good luck on your assignment
Expand (a + 4)(a – 3) by using the FOIL method.
Answers
a^2 - 3a + 4a - 12
a^2 + a - 12
write (x^2)^4 without exponents
Answers
Answer: x8 i really don't know if it is correct tell me plz
Step-by-step explanation:
The expression (x²)⁴ without exponents can be written as x × x × x × x × x × x × x × x.
The given expression is (x²)⁴.
It is known that the power rule of exponents states that:
(xᵃ)ᵇ = xᵃᵇ
Here, a = 2 and b = 4.
So using the power rule,
(x²)⁴ = x²⁽⁴⁾
= x⁸
Now, it is known that exponents are actually the multiplication of the number with the same number again and again.
Here x is multiplied by itself 8 times.
So the expression can be written as:
x × x × x × x × x × x × x × x.
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Fiona is trying to prove that a pair of expressions are equivalent by using substitution. Which pair of expressions has the same value if she substitutes y = 3?
3 (4 minus y) minus 7; 5 + 3 y
9 + y + 4 y minus 2 minus 3 y; Negative 2 y + 7
5 + y minus 2 minus 6 y + y; 8 y + 3
2 y + 7 + y minus 2 + y; 4 y + 5
Answers
Answer:
The Answer is D
Step-by-step explanation:
just took the quiz :p
Answer:
I believe the answer is D!
Step-by-step explanation:
I hope this helps ^w^
What value is equivalent to the product of 4sqrt(2) and 2 sqrt 6^ ?
Answers
Answer: 4
Step-by-step explanation:
[tex](\sqrt{x} )(\sqrt{2x} )[/tex]
Multiply the values under the root.
[tex]\sqrt{2x*x}\\\sqrt{2x^2}[/tex]
If you separate these into two roots, one of the x's will come out of the root.
[tex]x\sqrt{2}[/tex]
Plz help. I am very stuck. Its due today and I have none to ask help to.
Answers
Answer:
Hi there!
The correct answers for the question are:
For 45 mph, the trip time is: 9.78
For 55 mph, the trip time is: 8.36
For 65 mph, the trip time is: 7.38
Step-by-step explanation:
The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"
Answer:
For 45 mph the trip time is 9.78 For 55 mph the trip time is 8.36 For 65 mph the trip time is 7.38
Step-by-step explanation:
Make Me brainliest
find 2.5 divided by 0.05
A.5
B.50
C.500
D.5000
Answers
Answer:
Step-by-step explanation:
2.5/0.05 = 250/5 = 50
Answer:
2.5/0.05 = 250/5 = 50
Step-by-step explanation:
A line has an x-intercept of 3 and a y-intercept of 2. Determine the slope of a line parallel to this line.
Answers
Answer:
-2/3 = m
Step-by-step explanation:
Points on the given line are (3, 0) and (0, 2). Going from (0, 2) to (3, 0), the run is 3 and the rise is -2. Thus, the slope of the line connecting these two points is m = rise / run = -2/3 = m
A student translated the phrase below into an algebraic expression, and then evaluated if for y = 24. Is the studer
work correct?
The difference of a number and 6; evaluate when y = 24:
24
The expression is \. For y = 24,
Y
6
= 4
6
6
ООО
No, the student wrote a division expression instead of a subtraction expression.
No, the student simplified the fraction incorrectly.
No, the student made an error when substituting.
Yes, the student's work is correct.
Answers
Answer:No, the student wrote a division expression instead of a subtraction expression
Step-by-step explanation:
Answer:no, a student wrote a division expression instead of a subtraction expression
Step-by-step explanation:i got it right on edegunity
An angle measures 120 degrees. Describe how to use special right triangles and the unit circle as tools to calculate the sine and cosine of this angle.
Answers
Answer:
We know that, for a right triangle:
Cos(A) = (adjacent cathetus)/hipotenuse
sin(A) = (opposite cathetus)/Hipotenuse.
If we are in a right triangle inside the unit circle, we have that hypotenuse = 1.
Now, when you draw the unit circle, now from the center of the axis you must draw a straigth line (that forms an angle of 120° with the x-axis), and in the point where it cuts the unit circle we do 2 things.
from this point, you can draw a parallel line to the y-axis, the point where this line touches the x-axis is the value of the cosine.
Now you draw a line that is parallel to the x-axis (remember that the line must pass trough the point of before), the point where this line cuts the y-axis is the value of the sine
You should get:
sin(120°) = 0.87
cos(120°) = -0.5
will give bianleast 10 ponits
Which equation can be used to find the answer?
A fence with four sections has a perimeter of 43 ft. Three of the sections have lengths of 8 ft, 12 ft, and 11 ft. What is the length of the fourth section?
x = 43 + 8 + 12 + 11
x + 8 + 12 + 11 = 43
x – 8 + 12 +11 = 43
x – 43 = 8 + 12 –11
Answers
Answer:
x + 8 + 12 + 11 = 43
Step-by-step explanation:
The perimeter is the length of the 4 sections of fencing.
If x represents the fourth section and the perimeter is 43, then
x + 8 + 12 + 11 = 43, that is
x + 31 = 43 ( subtract 31 from both sides )
x = 12
The length of the fourth section is 12 ft
Show me how to solve this, please.
[tex](2.7 * 10^{-5}) / (9 * 10^{-6})[/tex]
Answers
Answer:
3
Step-by-step explanation:
2.7 * 10 ^-5 / 9 * 10 ^-6
First divide the numbers
2.7 / 9 = .3
Then divide the exponents
10^-5 / 10 ^ -6
When we divide exponents we subtract
10^(-5 - -6) = 10 ^1
.3 * 10 ^1
But scientific notation has a number between 1 and less than 10
Move the decimal 1 place to the left, so we subtract 1 from the exponent
3 * 10 ^ (1-1)
3 * 10 ^0
ASAP
At Saturday night's football game there were 18 less fans than half the fans at Friday night's game. There were "x" fans at Friday's game .
Write an expression to represent the number of fans at Saturday's game.
Answers
Answer:x-18
Step-by-step explanation:
Can I have brainlest
Answer:
x-18
Step-by-step explanation:
find the x to the nearest tenth
Answers
Answer:
It is 7.2 because if you imagine moving the 6 line in the other you can see the 9.2 is too long.
Step-by-step explanation:
A cylindrical container contains some sand as shown below. How much more sand must be added for the container to be half full? Use 3.14 for pi.
785 cubic inches
392.5 cubic inches
235.5 cubic inches
157 cubic inches
Answers
Answer: 785 cubic inches
Step-by-step explanation:
2πR + 2πR is the equation.
2π(5)^2 + 2π(5)(10)
50π + 200π
250 (3.14)= 785 inches cubed
I strongly believe this answer is correct, hope it helps.
. After reading to a kindergarten class at the library, Tobey gives out stickers. He has 9
zoo animal stickers and 16 scratch-n-sniff stickers. If Tobey gives the stickers out at
random, what is the probability that the first child gets a scratch-n-sniff sticker and
the second child gets a zoo animal sticker?
Answers
Answer:
If Tobey gives the stickers out at random, what is the probability that the first child gets a scratch-n-sniff sticker and the second child gets a zoo animal sticker?
P(zoo 2nd | scratch 1st) = (9/25)(16/24) = (9/25)(2/3) = 6/25
The area of a square lawn is 169 yd2. What is the length of each side of the lawn?
Answers
Answer:
13 yd
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area.
s = √(169 yd²) = 13 yd