Parallelogram efgh has sides of length 20 inches and 14 inches as shown. Its acute angle measures 62 degrees. Find the area of efgh to the nearest square inch

Answers

Answer 1

Answer:

The area of the parallelogram is 247 inches^2 to the nearest square inch

Step-by-step explanation:

This question asks us to calculate the area of a parallelogram given the sides and an acute angle.

Please check attachment for diagrammatic representation of the said parallelogram.

Mathematically, the area of the parallelogram can be calculated using the formula;

A = ab sin θ

where a and b refers to the length of the two sides and θ being the acute angle

Substituting these values, we have

A = 20 * 14 * sin 62

A = 280 sin 62 = 247.23 which is 247 inches^2 to the nearest square inch


Related Questions

I need help finding the slope and y-Intercept

Answers

Answer:

You Do y= mx+b

Step-by-step explanation:

Answer:

y-intercept is 2 because line passes through (0,2) and the slope is 3.

The equation of this line is y=3x+2.

FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.

Answers

Answer:

1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = [tex]\frac{x}{0.85}[/tex]

y = 220 - [tex]\frac{x}{0.85}[/tex]

Now convert this equation into a function.

[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Andre’s father is 8 years more than twice Andre’s age, a. The sum of their ages is 53, how old Andre?

Answers

Answer:

15 years old

Step-by-step explanation:

The equation would be

8x + 2x + x = 53

3x = 45

x = 15

Hey, can anyone help me? My math question is: "What sort of information can you get from conditional frequencies that you couldn't get by just looking at the relative frequencies?"

Thanks :)

Answers

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Complete the square to rewrite x^2+y^2+2x+6y-6=0 in graphing form

Answers

Answer:

(x + 1)² + (y + 3)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 2x + 6y - 6 = 0

Collect the x and y terms together and add 6 to both sides

x² + 2x + y² + 6y = 6

To complete the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(1)x + 1 + y² + 2(3)y + 9 = 6 + 1 + 9

(x + 1)² + (y + 3)² = 16

with centre = (- 1, - 3) and r = [tex]\sqrt{16}[/tex] = 4

A triangle has the angle measurements of 62 degrees and 91 degrees. What is the measurement of the third angle?
a
b
29 degrees
153 degrees
27 degrees
180 degrees
С
d

Answers

Answer:

27

Step-by-step explanation:

180 is always the total of the triangle measurements. Therefore,

180-(91+62)=27

Answer:

27°

Step-by-step explanation:

A triangle is 180 degrees

So you begin with what you know 91 degrees and 62degrees

So 180-91-62=27degrees

So your answer is 27degrees

someone lmk plzzz tyy

Answers

Answer:

y-1 = -(x-2)

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

   = (5-1)/(-2 -2)

    = 4/-4

   = -1

We are using point slope form using the point (2,1)

y-y1 = m(x-x-1)

y-1 = -1(x-2)

y-1 = -(x-2)

Help I am soo confusedd!!

Answers

Answer:

[tex]x^2+x[/tex]

Step-by-step explanation:

What this question is asking us to do is to find the area of the square and the rectangle individually and then add them together to find the total area of the whole rectangle.

Firstly, let us find the area of each of the rectangles.

Let us start with the light-blue square. It has side lengths x and x

This means that the area of this square is [tex]x*x=x^2[/tex]

Now the dark blue rectangle. It has sides with lengths x and 1.

This means that the area of this rectangle is [tex]x*1=x[/tex]

Now that we have the area of each of the rectangles, we can add them together to get the area of the whole rectangle

[tex]x^2+x[/tex]

In Miss Ericksen's class, there are 18 boys and 15 girls. What is the ratio of boys to girls in Miss Ericksen's class? Simplify your answer.

Answers

Answer:

6:5

Step-by-step explanation

boys : girls

= 18 : 15

Now time to simplify:

18/3: 15/3

= 6:5

A bird flies from the bottom of a canyon that is 77 1/10 and one tenth feet below sea level to a nest that is 738 3/5 and three fifths feet above sea level. What is the difference in elevation between the bottom of the canyon and the​ bird's nest?

Answers

Answer:

[tex]805\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]805\frac{8}{10}[/tex]

The bottom of the conyon to ses level plus sea level to the bird nest.

First you add 82+723

And than you need to find the common denominator in this case [tex]10\frac{1}{2} =\frac{5}{10}[/tex]

[tex]\frac{5}{10} +\frac{3}{10}[/tex]

someone pls help this is due today

Answers

Answer: 0.44mm

Step-by-step explanation:

In this problem we are asked for the height of a single playing chip. We know the volume of a cylinder is 25120 mm^3.

V=πr²h

25120=πr²h

The problem also gives the diameter of the case: 40mm.

To find radius, you divide the diameter in half.

d=2r

40=2r

r=20

With the radius, we can add that to the volume equation.

25120=[tex]\pi[/tex](20)^2h

25120=400πh

All we have left is to find the height.

h=25120/(400π)

h≈20mm

Now that we know the height, we can find the height of a single chip. The problem states about 50 chips can fit in a case. To find the height of a single chip, you would divide 20 by 50.

20mm/50 chips=0.4mm/chip.

(a + 3)(a - 2) (multiplying polynomials by polynomials is the assignment, i need help lol)

Answers

Answer:

a^2 +a -6

Step-by-step explanation:

(a + 3)(a - 2)

FOIL

first: a*a = a^2

outer: -2*a = -2a

inner: 3*a =3a

Last : -2*3 = -6

Add them together

a^2 -2a+3a -6

Combine like terms

a^2 +a -6

Answer:

a² + a - 6

Step-by-step explanation:

(a + 3)(a - 2) = a² - 2a + 3a - 6 = a² + a - 6

Complete the equation and solve the problem. Let n be the number of students in each row. There are 37 students in the marching band. There are 5 students in the first row, and the rest are in 4 equal rows. How many students are in each of the 4 rows?

Answers

Answer:

37 - 5 = 32

32/4 = 8

8 students are in each of the 4 rows

Answer: there are 8 students in each of the 4 equal rows

Step-by-step explanation:

x = # of students in each of the 4 rows

4x + 5 = 37

4x = 32

x = 8

There are 8 students in each of the 4 rows.

You can check this:

4 rows of 8 students —> 4(8) = 32 students

+ 5 students in the first row

= 37 students total

Find the equation of the line shown.
HELP PLEASEEE

Answers

Answer:

y = x+6

Step-by-step explanation:

The y intercept is 6  ( where it crosses the y axis)

We need to find the slope

For each y unit it goes up, it goes to the right 1 x unit

m = 1/1 = 1

We can use the slope intercept form of the equation

y = mx+b  where m is the slope and b is the y intercept

y = 1x+6

y = x+6

Quadrilateral ABCD​ is inscribed in this circle.




What is the measure of angle C?
Please Help!!!

Answers

Answer:

C=62 maybe

Step-by-step explanation:

3x=x+20

-x    -x

2x=20

divide by 2

x=10

2*10=20+38=58

10+20=30

3*10=30

30+30=60+58=118

180-118=62

I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?

Answers

Answer:

d: 1/2

Step-by-step explanation:

Answer:D. 1/2 c

Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.

Jill has 64 ounces of lemonade. Each day, her brother drinks 16 ounces. Then at the end of each day Jill adds 25% of the remaining total back into the lemonade container. Which recursive formula models the number of ounces of lemonade in the container, an, at the end of the nth day?

Answers

Answer:

what is the nth day?

Step-by-step explanation:

Answer:

A

Step-by-step explanation: an=1.25(an-1-16);a1=64

:)

BO and OC are the bisector of angle B and angle C of the triangle ABC. Find BOC if BAC = 70 degrees.

For reference please look at the photo above.​

Answers

Answer:

BOC= 110 degrees

Step-by-step explanation:

you can refer the above explanation

Write the slope-intercept form of an equation that passes through the points (3,7) and (5,11)

Answers

The answer is y= 2x + 1

I really need help with this :((

Answers

Answer:

Step-by-step explanation

The two other forms are written form and expanded from. That first blank is for written from and the answer is four and eight-hundred twenty-sixth thousandths. For the other ones i think for the first blank it is 4 then 8 then 20 and then 6.

3(5x – 10) < 30x solve for x

Answers

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

Step-by-step explanation:

Step 1:  Distribute

[tex]3(5x - 10) < 30x[/tex]

[tex](3 * 5x) + (3 * -10) < 30x[/tex]

[tex]15x - 30 < 30x[/tex]

Step 2:  Subtract 15x from both sides

[tex]15x - 15x - 30 < 30x - 15x[/tex]

[tex]-30 < 15x[/tex]

Step 3:  Divide both sides by 15

[tex]-30 / 15 < 15x / 15[/tex]

[tex]-2 < x[/tex]

Answer:  [tex]x > -2[/tex]

Find the solution set.
(x - 5)(x-5) = 0

Answers

Answer:

x = 5

Step-by-step explanation:

Steps to solve:

(x - 5)(x - 5) = 0

~Set both factors to equal 0

x - 5 = 0

x - 5 = 0

~Solve for x

x - 5 = 0

x - 5 + 5 = 0 + 5

x = 5

We only solved for one factor since they are both the same and the x value for both are also the same.

Best of Luck!

About how many times greater is the volume of the cylinder than the volume of the cone?

Answers

Your answer is 3 times larger.

The volume of any cone is 1/3 the volume of the cylinder that could be formed around that cone, therefore the volume of any cylinder is 3 times larger than the volume of the cone that could fit inside.

We know this is true because the equation for the volume of a cone is (1/3) πr²h, and the equation for the volume of a cylinder is πr²h

I hope this helps!

-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp

Answers

Answer:

x = -0.4

Step-by-step explanation:

First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.

Answer:

-0.4

Step-by-step explanation:

Subtract 0.4 from both sides.

-9x + 0.4 = 4

       -0.4    -0.4

-9x = 3.6

Divide both sides by -9.

-9x/-9 = 3.6/-9

Simplify

x = -0.4

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work

Answers

Answer:

Step-by-step explanation:

[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]

[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]

[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]

[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]

[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]

[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]

[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]

x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]

x =  [tex]\sqrt[3]{8^{5}}[/tex] -2

May someone please help me

Answers

hi buddy i can help you with this

A bird flies from the bottom of the canyon that is 76 7/10 feet below sea level to a nest that is 769 3/5 Feet above sea level. What is the difference in elevation between the bottom of the canyon and the birds nest?

Answers

Answer:

846.3

Step-by-step explanation:

76.7+769.6=846.3

.5s+1=7+4.5s solve for s

Answers

Answer:

The answer is [tex]s = - \frac{3}{2}[/tex] .

Step-by-step explanation:

Solve the equation:

[tex]0.5s + 1 = 7 + 4.5s[/tex]

-Subtract [tex]4.5s[/tex] from [tex]0.5s[/tex] :

[tex]0.5s + 1 -4.5s = 7 + 4.5s -4.5s[/tex]

[tex]-4s + 1 = 7[/tex]

-Subtract both sides by [tex]1[/tex] :

[tex]-4s + 1 - 1 = 7 -1[/tex]

[tex]-4s = 6[/tex]

-Divide both sides by [tex]-4[/tex] :

[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]

[tex]s = -\frac{3}{2}[/tex]

So, therefore, the final answer is [tex]s = -\frac{3}{2}[/tex] .

Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years

Answers

Answer:

7 years

Step-by-step explanation:

Given:

Principal P = 9300

Interest rate r = 13% = 0.13

Final amount F = 17,763

Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.

The formula for simple interest is;

Interest I = Prt .....1

t = period

Final amount F = P + I

I = F-P

Substituting into equation 1;

(F-P) = Prt

t = (F-P)/Pr

Substituting the given values;

t = (17,763 - 9300)/(9300×0.13)

t = 7 years

Period = 7 years

5. Factor each expression.
a. 15a - 13a
b. -6x – 18y
c. 36abc + 54ad​

Answers

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

[tex]a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a[/tex]

[tex]b) \: \: - 6x - 18y \\ = - 6(x + 3y)[/tex]

[tex]c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)[/tex]

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