Two sides of a parallelogram are 49 feet and 78 feet. The measure of the angle
between these sides is 59º. Find the area of the parallelogram to the nearest square
foot.

Answers

Answer 1

Answer:

[tex]A=3276\ ft^2[/tex]

Step-by-step explanation:

Given that,

The sides of a parallelogram are 49 feet and 78 feet. The measure of the angle  between these sides is 59º.

We need to find the area of the parallelogram.

Using trigonometry,

[tex]\sin(59)=\dfrac{h}{49}\\\\h=\sin(59)\times 49\\\\h=42.00\ ft[/tex]

We know that,

Area = base (b) × height (h)

So,

[tex]A=78\times 42.00\\\\A=3276\ ft^2[/tex]

So, the area of the parallelogram is equal to [tex]3276\ ft^2[/tex].

Two Sides Of A Parallelogram Are 49 Feet And 78 Feet. The Measure Of The Anglebetween These Sides Is

Related Questions

A line that includes the points (-10, 6) and (-9, h) has a slope of -8. What is the value of h?

Answers

H=4
Hope this helps you !!!!

The mean temperature for the first 4 days in January was 4°C.

The mean temperature for the first 5 days in January was 5°C.

What was the temperature on the 5th day?

Answers

Answer:

9°C

Step-by-step explanation:

Total temperature= mean * number of days

Total for 4 days=4°C * 4days=16°C

Total for 5 days=5°C * 5days=25°C

Temperature for 5th day =25-16

=9°C

The graph of the function f(x) is shown on the corrdinate plane.

Which value is closest to f^-1(7)?

A-5
B-3
C,3
D, 5

Answers

The closest to the inverse notation is (d) 5

How to determine the closest to the inverse notation

From the question, we have the following parameters that can be used in our computation:

The graph of the function f(x)

The notation f'(7) implies that we determine the inverse of the function

From the graph, we have the following equation

f(5) = 7

This means that

f^-1(7) = 5

Hence, the closest is (d) 5

Read more about inverse function at

https://brainly.com/question/3831584

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Urgent! 30 points and will give 5 star review for correct answers!!

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

2) Write the equation of the parabola that has x-intercept at the points (-3.0) and (0,0) and is flipped vertically

Answers

Answer:

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

Step-by-step explanation:

what is a equivalent to (3x+4)(3x+4)​

Answers

Answer:

9 x^2 + 24 x + 16 or (3 x + 4)^2

Step-by-step explanation:

Simplify the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

Answer: |

| (3 x + 4)^2

or

Expand the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

(3 x + 4)^2

(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):

3 3 x x + 4 3 x + 4 3 x + 4 4

3 x×3 x = 3×3 x^2:

9 x^2 + 4 3 x + 4 3 x + 4 4

3×3 = 9:

9 x^2 + 4 3 x + 4 3 x + 4 4

4×3 = 12:

9 x^2 + 4 3 x + 12 x + 4 4

4×3 = 12:

9 x^2 + 12 x + 12 x + 4 4

4×4 = 16:

9 x^2 + 12 x + 12 x + 16

Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:

9 x^2 + (12 x + 12 x) + 16

12 x + 12 x = 24 x:

Answer: |

| 9 x^2 + 24 x + 16

Answer:

80

Step-by-step explanation:

so 77 but you round it to 80 (sorry i dont know how to explain it that well but its 80)

PLEASE HELP!!
show your work using synthetic division to solve x^3-1=0

Answers

Answer:

Step-by-step explanation:

Set up synthetic division, starting with x - 1 as the divisor, and then (from that) 1:

1     /    1   0    0    -1               The coefficients of x^2 and x are zero here.

               1     1      1

     --------------------------

         1     1      1      0              

Since the remainder is zero, 1 is a root and x - 1 is a factor of the original

x^3 - 1 = 0.

37 1/2 of what number is 60

Answers

37.5 is 60% of 62.5#

Explanation:

First, let's call the number we are looking for  

n

.

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as  

60

100

.

When dealing with percents the word "of" means "times" or "to multiply".

So, putting this all together allows us to write the following equation and solve for  

n

while keeping the equation balanced:

60

100

×

n

=

37.5

100

60

×

60

100

×

n

=

100

60

×

37.5

1

×

n

=

3750

60

n

=

62.5

Find the volume of the
rectangular prism.
4 in
11 in
8 in
V = [?] in3
Enter

Answers

Answer:

352

Step-by-step explanation:

8×11×4

volume=L×W×H

Solve the following system of equations using the substitution method.
y = -2
4x - 3y = 18
A) (-3,2)
B) (3,-6)
C) (3,6)
D) (3,-2)

Answers

D) (3,-2) is the answer

Plz plz plz plz plz plz find x

Answers

Answer:

36 i think

Step-by-step explanation:

Lisa reads 1/2 of a 200 page book
in 4 days. How many days
would it take Lisa to read a 600
page book?

Answers

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

Solve the system by substitution.
-2x – 4y = -18
x=y

Answers

Hope this help you with this problem!

Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256?

Answers

Answer:

$64

Step-by-step explanation:

True of false: two expressions can only be equivalent if they share the same domain.

Answers

Answer

True I’d think

Step-by-step explanation:

in ms. march's class,7/10 of the students walk to school.another 1/5 of the students ride there bikes to school bus.what fraction of the class rides on the school bus

Answers

1/10 because 1/5 =2/10. 2/10+7/10=9/10. 10/10-9/10=1/10

A cereal box has a height of 10 inches, a length of 8 inches, and a width of 2 inches. What is the surface area of the cereal box?

Answers

Answer:

232 in^2

Step-by-step explanation:

Using the formula for surface area A=2(wl+hl+hw)

A=2(16+80+20)

A=232

The surface area of the cereal box is 232 square inches

What is the surface area of cuboid?

The surface area of a cuboid is the total area of all its surfaces. Since a cuboid is a three-dimensional solid shape, the value of its surface area depends on the dimensions of its length, width, and height. The change in any of the dimensions of a cuboid changes the value of the surface area of a cuboid. The surface area of a cuboid is expressed in square units.

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

According to the question

A cereal box has a height = 10 inches

A cereal box has a length = 8 inches

A cereal box has a width = 2 inches

Now ,

Applying the formula of Total Surface Area of Cuboid as cereal box is also a cuboid

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

substituting the values

Total Surface Area of Cuboid

= 2 (8*2 + 2*10 + 8*10)

= 2  (16 + 20 + 80)

= 2(116)

= 232 square inches

Hence, the surface area of the cereal box is 232 square inches

To know more about  surface area of cuboid here:

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ANSWER PLEASE! 10 POINTS!! Dad says to pick a number from 1 to 100, and the
closest guess to his number can pick the ride.
One son picks 50, and the other son picks 51. If
the daughter picks 52, what is the probability
that she is closest?

Answers

Answer: 52/100 thank my beautiful sister for the answer

Find the value of x

Answers

Answer:

[tex]\frac{9\sqrt{2} }{2}[/tex]

Step-by-step explanation:

This particular case is a sine operation.

sin(45°) = [tex]\frac{x}{9}[/tex]

9sin(45°) = x

Plug into a calculator and you get:

x = [tex]\frac{9\sqrt{2} }{2}[/tex]

The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm.
480

Answers

Answer:

corrcect

Step-by-step explanation:

Base times Hight

Chef Emily has been asked to make 14 dozen cookies for a large party. She needs 1/2 square of chocolate for each dozen. How many whole squares of chocolate does she need to complete this order?

Answers

Answer:

7 squares of chocolate

Step-by-step explanation:

14/2 = 7

How many terms are in the bionomial expansion of (3x^4-2y)^7 ??

Answers

Answer:

there is two terms. 3x^4 and 2y)^7

please mark as brainliest

Las longitudes que se forman entre los vertices y el centro de un poligono regular son por favor respondan :'c

Answers

Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

what is the arithmetic mean of 4,9,6,3,4,2?

Answers

add of the numbers to together, which gives you 28 and divide by 7 which makes the arithmetic mean = 4

pleaseeee help meeeee​

Answers

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

WHAT IS THE SLOPE (NEED HELP DROM A PRO)
WILL MARK BRAINIEST IF ANSWER IS CORRECT AND EXPLAINED WELL

Answers

Hi!

So to find out the slope, we can use the equation change in y value over change in x value -- or vertical change over horizontal change.

Find two points on the graph that line up exactly on the lines of the graph, like (20, 0) and (12, 0).

Then, take the change in y value (20-0 = 20) and divide it by the change in x value (0 - 12) to get -20/12, or -5/3.

Hope this helped!!

A park is in the shape of a rectangle 8 miles long and 6 miles wide. What is the diagonal length across the park?

Answers

Answer:

The diagonal length is 10 miles.

Step-by-step explanation:

This is the work of the Pythagorean theorem : [tex]a^{2} + b^{2} = c^{2}[/tex]

-------------------------------

[tex]8^2 + 6^2 = c^2\\100 = c^2\\10=c[/tex]

Good Luck!!!

Answer:

10 miles

Step-by-step explanation:

pythagoras' Theorem

8^2 + 6^2 = c^2

64 + 36 = 100

c^2 = 100

c = √100

c = 10 miles

A line's y-intercept is 9, and its slope is 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Fè the Ki up li Ki fèt h in

Express 4 hours on seconds and leave answer in standard form

Answers

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

A and b are positive integers and a-b=2. Evaluate the following:
(27^1/3b)/ ( 9^1/2a)

(this is urgent)

(I have tried 1, 25, and 1/27. None of them are correct)

Answers

Answer:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}}=\frac{1}{9}[/tex]

Step-by-step explanation:

We are given that a and b are positive integers such that:

[tex]a-b=2[/tex]

And we want to evaluate:

[tex]\displaystyle \frac{27^{1/3b}}{9^{1/2a}}[/tex]

First, note that 27 = 3³ and that 9 = 3². Therefore:

[tex]\displaystyle =\frac{(3^3)^{1/3b}}{(3^2)^{1/2a}}[/tex]

Simplify:

[tex]=\displaystyle \frac{3^b}{3^a}[/tex]

Using the quotient property of exponents:

[tex]=3^{b-a}[/tex]

From our given equation, we can divide both sides by -1 to acquire:

[tex]-a+b=-2\text{ or } b-a=-2[/tex]

Therefore:

[tex]=3^{-2}[/tex]

Hence, our answer is:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}} =\frac{1}{3^2}=\frac{1}{9}[/tex]

What two numbers multiply to get 3 and add to get 6

Answers

Answer:

3

Step-by-step explanation:

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