Answer:
[tex]\displaystyle 11,3[/tex]
Step-by-step explanation:
Use the Law of Cosines to find the length of the third edge:
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]
Use [tex]\displaystyle cos^{-1}[/tex]towards the end or you will throw your result off!
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]
Take the square root of the final result or it will be thrown off!
Let us get to wourk:
[tex]\displaystyle 10^2 + 7,9^2 - 2[10][7,9]\:cos\:77,5 = a^2 \hookrightarrow 100 + 62,41 - 158\:cos\:77,5 = a^2 \hookrightarrow \sqrt{128,212541} = \sqrt{a^2}; 11,323097677... \\ \\ \boxed{11,3 \approx a}[/tex]
I am joyous to assist you at any time.
A family uses 12,986. 64 Swiss francs per year to pay a mortgage that requires US dollars. Approximately how much, in US dollars, does the family spend per month on the mortgage? 1 US dollar = 0. 9019 Swiss francs 1 Swiss franc = 1. 11 US dollar $975 $1,080 $1,200 $1,440.
Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,
[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]
Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.
Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,
[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]
Hence, the amount that is paid by the family in mortgage per month is equal to $1200.
Learn more about Units conversion:
https://brainly.com/question/4736731
Jean wants to put furniture in her clubhouse. She drew a floor plan of the clubhouse, as shown. Each grid unit represents one foot.
PLEASE HELP ME
Answer:
hexagon24 ft of baseboardStep-by-step explanation:
1.You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.
__
2.The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...
1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft
24 feet of baseboard are needed.
__
Additional comment
The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².
Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².
Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.
How many liters of water does Bao use per liter of flour?
Answer: He uses two litres of water for one litre of flour.
Step-by-step explanation:
Find the unknown coordinate for each reflection.
Figure ABCDE is reflected across the y-axis to
form figure A'B'C'D’E
Answer:
A'=(-3,6)
B'=(-5,5)
C'=(-4,2)
D'=(-2,2)
E'=(-1,4)
Step-by-step explanation:
Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.
Hope this helps!!!
In factorization, when you are factoring out a number, how do you know like which sign to out with it. Like if I’m factoring out 2 from a bracket. Which sign do I put with it ?
A 30-foot ladder is leaning against an office building. if the base of the ladder is
12 feet away from the base of the building, find the angle of elevation. round to
the nearest degree (whole number). really need this for a test
Angle of elevation would be 66 degrees
In the adjoining figure triangle PQR is similar to triangle PMN , PM= 2MQ And PN = 2NR . Determine ratio of MN/QR
The triangles PQR and PMN are similar triangles
The ratio MN/ QR is 2/3
How to detemine the ratio MN/QR?The question is incomplete, as the figure of the triangles are not given.
So, I will give a general explanation
The given parameters are:
PM= 2MQ
PN = 2NR
Rewrite PM= 2MQ as:
PM/MQ = 2/1
The equation becomes
PM/(PM + MQ) = 2/(2 + 1)
PM/(PM + MQ) = 2/3
Add PM and MQ
PM/PQ = 2/3
The above means that:
PM/PQ = MN/ QR = 2/3
Hence, the ratio MN/ QR is 2/3
Read more about similar triangles at:
https://brainly.com/question/14285697
find the value of angle a
Answer:
angle A = 153 degrees
Step-by-step explanation:
solve for the interior missing angle.
so from the interior we know that we have 2 angles
1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees
Solve the following question
Answer:
x=-1
Step-by-step explanation:
First we can square both sides to remove the square roots:
[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]
Simplify:
[tex]x+7+x+2=6x+13[/tex]
Now we simplify further:
[tex]2x+9=6x+13[/tex]
Now we subtract 13 from both sides:
[tex]2x+9-13=6x+13-13[/tex]
Simplify:
[tex]2x-4=6x[/tex]
Subtract 2x from both sides:
[tex]2x-4-2x=6x-2x[/tex]
Simplify:
[tex]-4=4x[/tex]
Divide both sides by 4:
[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]
Simplify:
-1=x
x=-1
I need help first answer gets brainliest
To find which fractions are equal to each other, we must simplify or multiply to both denominator and numerator:
[tex]\frac{2}{6} =\frac{1*2}{3*2} =\frac{1}{3}*\frac{2}{2}=\frac{1}{3}*1= \frac{1}{3} \\\\\frac{8}{1}=8\\ \\\frac{2}{4} =\frac{1*2}{2*2} =\frac{1}{2}*\frac{2}{2} =\frac{1}{2} *1= \frac{1}{2} =\frac{1}{2}*1 =\frac{1}{2}*\frac{4}{4} =\frac{1*4}{2*4}=\frac{4}{8} \\\\\frac{2}{8} =\frac{1*2}{4*2}=\frac{1}{4}*\frac{2}{2} =\frac{1}{4} *1 =\frac{1}{4} \\\\\frac{4}{4} =1[/tex]
Hope that helps!
Answer:
2/6 = 1/3
8/1 = 8
2/4 = 4/8
2/8 = 1/4
4/4 = 1
Step-by-step explanation:
2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3
for 8/1 it is the same as just 8
2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8
and 2/8 is 1/4
and 4/4 is just 1
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
3. Felipe is ordering new carpet for his bedroom floor. (The floor is represented in the picture below as
rectangle JKLM). He knows the base edge, ML, measures 18 ft. And the distance of diagonal KM
measures 25 ft. What is the area of Felipe's bedroom floor? Show all work and round your answer to
the nearest tenth.
Please helpp
Answer:
312.3 feet
Step-by-step explanation:
ML = 18 and KM = 25 so we can put together that JM = 17.35
17.35 x 18 = 312.3 ft
Hope this helps K12 students :)
PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)
Two functions, function A and function B, are shown below:
Function A
x y
7 21
8 24
9 27
Function B
the picture.
Which statement best compares the rate of change of the two functions? (1 point)
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function A is greater than the rate of change of function B
Step-by-step explanation:
[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
Function A
For every increase of 1 unit in x-values, the y-values increase by 3 units.
[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]
Function B
For every increase of 1 unit in x-values, the y-values increase by 2 units.
[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]
As 3 > 2, the rate of change of function A is greater than the rate of change of function B
Please Help 30 Points
Answer:
Step-by-step explanation:
A rectangular prism has a base area of 23 cm² and a height of 6 centimeters. What is the volume of the prism?
Answer:
volume = 138 cm³
Step-by-step explanation:
Equation
volume of a prism = base area × height
Given:
base area = 23 cm²height = 6 cmSubstituting given values into the equation:
⇒ volume = 23 × 6
= 138 cm³
Is this a function pls someone tell me
Functions must pass the vertical line test. This means that for every x value there must be ONLY ONE y value.
We can see in this table that the x value 25 has two different y values. Therefore, this is NOT a function.
Hope this helps!
Answer:
yes
Step-by-step explanation:
If the line only goes through one point once than yes. Vertical line test.
Note: "While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!"
PLS HELP ASAP THANKS ILL GIVE BRAINLIEST PLS THANKS PLS ASAP PLS PLS THANKSS
Answer:
FIRST ONE IS 300
Step-by-step explanation:
5X8X7.5=300 l x w x h
Answer:
Question A:
Your Answer would be:
C.) 300ft2
5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2
Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
A research firm has determined that 80% of telephone
respondents will agree to answer an opinion poll. If 20
people are contacted, what is the probability that exactly 14
people agree to be polled?
The probability that out of 20, 14 agree to answer is:
P(14) = 0.109
How to find the probability?
We know that the 80% of the respondents will agree to answer the opinion poll (and 20% don't).
Then the probability that a random respondent agrees to answer the poll is 0.8
Now, the probability that out of 20, 14 agree to answer, is:
[tex]P(14) = C(20, 14)*(0.8)^{14}*(0.2)^6[/tex]
Where C(20, 14) is the number of different combinations of 14 elements that we can make out of the 20 elements (the number of permutations).
[tex]C(20, 14) = \frac{20!}{(20 - 14)!*14!} = \frac{20*19*18*17*16*15}{6*5*4*3*2} = 38,760[/tex]
Replacing that in the probability, we get:
[tex]P(14) = 38,760*(0.8)^{14}*(0.2)^6 = 0.109[/tex]
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
pls answer carefully
Answer:
The value of k = 16 and the measure of unknown angle is 48°
Step-by-step explanation:
=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }
=> 132°+3k° = 180°
=> 3k° = 180°-132°
=> 3k° = 48°
=> k = 48/3
=> k = 16
The measure of unknown angle is 3×k = 3×16 = 48°
Use the graphing calculator to graph the quadratic function y = x2 − 5x − 36. Which value is a solution of 0 = x2 − 5x − 36?
−9
−4
4
6
Answer: -4
Step-by-step explanation:
Once you graph it, the solutions are where the graph meets the x axis.
This is at -4 and 9.
Which postulate or theorem proves that these two triangles are
congruent?
HL Congruence Theorem
ASA Congruence Postulate
AAS Congruence Theorem
SAS Congruence Postulate
Answer: AAS
Step-by-step explanation:
Justin buys candy that costs $6 per pound. he will buy at most 9 pounds of candy. what are the possible amounts he will spend on candy? use for the amount (in dollars) justin will spend on candy. write your answer as an inequality solved for c.
Using proportions, it is found that the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each pound of candy costs $6, and he will buy at most 9 pounds, hence the maximum amount he will spend is given by:
M = $6 x 9 = $54.
Hence, the possible amounts that he will spend on candy are represented by the inequality [tex]c \leq 54[/tex].
More can be learned about proportions at https://brainly.com/profile/joaobezerra-15918078
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
i want answer
step by step
process by process
who will give correct answer i make him as a brainlists
(Assuming all these lines are parallel to each other)
Angle x = 70, because it is corresponding to the 70 angle.
Angle y = 70, because it is corresponding to x
Angle z = 70, because angle z and angle y are alternate angles
(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)
Sam’s teacher asked him to make observations about animals at the zoo. sam went to the zoo and filled in these two charts that the teacher gave him. what is the main difference between the species in group 1 and group 2? question 3 options: group 1 has small organisms, group 2 has large organisms. group 1 are endothermic, group 2 are exothermic. group 1 are vertebrates, group 2 are invertebrates. group 1 has exoskeletons, group 2 has soft bodies.
The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.
What are vertebrates?Vertebrates are those animals that have a spinal cord.
Invertebrates are those who do not have a spinal cord or vertebrae.
The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.
The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.
Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.
Learn more about vertebrates
https://brainly.com/question/8825342
what is Seven less than a number is the same as 2 more than twice the number as a equation?
i need help on this pls
Pete's Pottery observes the heights of the vases in inventory. The results are represented by the box plot shown below.
Select all of the true statements.
The data recorded must have been for 24 vases.
The box plot also gives data on the heights of mugs in inventory.
The heights are measured in centimeters.
The box plot gives data on the heights of vases in inventory.
There must be between 6 and 12 vases in inventory.
The heights are measured in inches.
Answer:
The box plot gives data on the heights of vases in inventory.The heights are measured in inches.Step-by-step explanation:
Given the question and the image, the following are the solution steps to answer the question.
STEP 1: Define box plot.
In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.
STEP 2: Choose the correct statement
The box plot shows the minimum height, maximum height, first and third quartiles, and the median.
Therefore,
The box plot does not show the number of vases recorded
The box plot does not show the heights of mugs, just vases.
The height is measured in inches, not centimeters.
Solve the equation:
[tex]6-(3w+1) = 8w-2[/tex]
Step-by-step explanation:
please mark me as brainlest
[tex]===================================[/tex]
Step 1:
Use the Distributive Property:
[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]
Hence, the equation is
[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]
Move 8w to the left side
[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]
Combine Like Terms
[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]
Simplify
[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]
Move 6 and 1 to the right
[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]
[tex]\hookrightarrow\sf{-11w=-7[/tex]
Divide both sides by -11
[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9
ANSWER THE QUESTION FOR BRAINLIST !!
In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .
Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010
Enter your answer by filling in the boxes
f(x) = ______ • (_______) ^x
Answer:
[tex]f(x) = 175000*1.025^x[/tex]Step-by-step explanation:
Exponential function has the form
[tex]f(x) = ab^x[/tex]Where a- initial value, b- growth rate
Find the growth rate b
[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]The function is
[tex]f(x) = 175000*1.025^x[/tex]Answer:
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
Step-by-step explanation:
recall exponential function:
[tex]y = a \cdot {b}^{x} [/tex]
where:
a is the initial valueb is the growthx is the independent variabley is the dependent variableFinding the exponential function:
firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,
[tex]a \implies 175000[/tex]secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus
[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]finally, just plug in the value of a and b into the function,
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
and we're done!