Unit 11: Volume & Surface AreaHomework 1: Area Of Plane FiguresDirections: Find The Area Of Each (2024)

Answer:

113

Step-by-step explanation:

First we need to find theother 2 angles of the triangle.

We are given that the top angle is 60°

We know that the angles of a triangle add up to 180°

To find the bottom left angle of the triangle...

We can see that it is alternate exterior angles so they will equal.

To find the third angle of the triangle...

180 - 60 (given angle) -53 (alternate exterior angle) = 67°

Now we know that the bottom right angle inside the triangle is 67°.

To find x...

subtract 67 from 180 because the like is a combination of x and the 67° angle we just found. (a straight line angle = 180°)

180 - 67 = 113

Answer:

There is no triangle.

Step-by-step explanation:

Answer:

Your final answer is √32 miles.

Step-by-step explanation:

9514 1404 393

Answer:

(a) -6±√5

Step-by-step explanation:

(z +6)^2 = 5 . . . . . given

z +6 = ±√5 . . . . . take the square root

z = -6 ±√5 . . . . . . subtract 6

Answer:

answer

Step-by-step explanation:

5%

.......................

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

Answer:

41.96$

Step-by-step explanation:

To find the discounted price we need to calculate the 30% of the $59.95

and to do that we need to multply 59.95 with 30 and divide it by 100

59.95 x 30 ÷ 100 = 17.985

59.95 - 17.985 = 41.965 and 41.96 is the discounted price

The zeros are
Larger
Smaller
2)The vertex is (-12.5,-2.25)
Step-by-step explanation:
The given function is:

This function is already in the factored form therefore it is easy to find the zeros,

Either or
The zeros are or
b) The expanded form of the given function is:

We obtain the vertex form by completing the square:

The vertex form is:

Therefore the vertex is (-12.5,-2.25)

Answer:

smaller r =-21

larger r =-7

The vertex of the parabola is at

(-14,-49)

Answer:

[tex]P(C\ or\ D) = 1[/tex]

Step-by-step explanation:

Given

[tex]P(C) = \frac{3}{7}[/tex]

[tex]P(D) = \frac{4}{7}[/tex]

Required

[tex]P(C\ or\ D)[/tex]

Since the events are mutually exclusive, then:

[tex]P(C\ or\ D) = P(C) + P(D)[/tex]

So, we have:

[tex]P(C\ or\ D) = \frac{3}{7} + \frac{4}{7}[/tex]

Take LCM

[tex]P(C\ or\ D) = \frac{3+4}{7}[/tex]

[tex]P(C\ or\ D) = \frac{7}{7}[/tex]

[tex]P(C\ or\ D) = 1[/tex]

Answer:

t = 48

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Hi,

7x - 7 = 4x + 14

3x - 7 = 14

3x = 21

x = 7

I hope this helps :)

Answer:

I got you rn

Step-by-step explanation:

its 42 because opposite angles are congruent

Answer:

Step-by-step explanation:

z = 53 + 39 {Exterior angle property of triangle}

z = 92°

Answer:

-13 = x

Step-by-step explanation:

:))

Answer: x = 13

Step-by-step explanation:

First subtract -4 on both sides because your adding by 4

-x + 4 = -9

- 4 -4

The 4 - 4 cancels out

So, -9 - 4 is -13

Then we change the sign because we cannot leave x negative.

-x = -13

x = 13

Answer:

325

Step-by-step explanation:

.12x + 44 = .08x + 57

.04x = 13

x= 325

Object will cover 21600 feet in 3 hours.

What is distance?

Distance is defined as the product of the speed and time.

The distance an object travelled is measured in distance per second here.

So, let us convert the hours into seconds to arrive at our answer.

One hour = 60 minutes = (60×60) seconds = 3600 seconds.

The object travels 2 feet for every second.

Then, total distance covered in 3 hours is

2×3×3600 = 21600 feet.

Hence, object will cover 21600 feet in 3 hours.

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Answer:

Step-by-step explanation:

First of all we have to discover how much he spent.

356.89 + 2(16.70) + 27.47 = $417.76

Now we have to find how much money he saved

640 - 417.76 = $222.24

the total cost of biking outfits must be eqaua or less than $222.24..

We know the price of a single outift so we can write this inequality:

74.08o ≤ 222.24

we can find o by dividing the two members of the inequality:

o ≤ 222.24/74.08 = 3

o≤ 3

this mean that he can buy 1, 2 or 3 outfits

Answer:

Future value, A = $6,317.6

Step-by-step explanation:

Given the following data;

Principal = $2,000

Interest rate = 7%

Time = 17 years

To find the future value, we would use the compound interest formula;

[tex] A = P(1 + \frac{r}{100})^{t}[/tex]

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

t is the number of years for the compound interest.

Substituting into the equation, we have;

[tex] A = 2000*(1 + \frac{7}{100})^{17}[/tex]

[tex] A = 2000*(1 + 0.07)^{17}[/tex]

[tex] A = 2000*(1.07)^{17}[/tex]

[tex] A = 2000 * 3.1588 [/tex]

Future value, A = $6,317.6

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

perimeter is the sum of all sides. it's the distance around the figure.

Try this option:

1. to calculate the difference of the final sequence:

the difference between two terms of the sequence A is 4 (7-3=11-7=...=4) and the difference between two terms of the sequence B is 7 (9-2=16-9=...-7). It means, in the final sequence the difference should be 7*4=28;

2. to calculate the first term of the final sequence:

A={3;7;11;15;19;23;27;31;...;407} and B{2;9;16;23;30;...;709}. It means, the first term of the final sequence is 23.

3. to calculate the last term of the final sequence:

if 407<709, it means the last term is less than 407, then it is possible to make up the equation 23+28*n<407, where 23 - the 1st term of the final sequence, 28 - the difference of the final sequence, (n+1) - number of the last term of the final sequence and n∈Z.

n<(407-23)/28; n<13.71. If n∈Z, then n=13.

So, the last term of the final sequence is 23+28*13=387.

4. if the first term is 23, the last one is 387 and the difference of the final sequence is 28, then the final sequence is consists of 14 terms:

{23; 51; 79; 107; 135; 163; 191; 219; 247; 275; 303; 331; 359; 387}

Answer:

Slope = 9

Step-by-step explanation:

(-7 , -2) ; x₁ = -7 and y₁ = -2

(-6 , 7) ; x₂ = -6 and y₂ = 7

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]=\frac{7-[-2]}{-6-[-7]}\\\\=\frac{7+2}{-6+7}\\\\=\frac{9}{1}\\\\= 9[/tex]

Answer:

$160

Step-by-step explanation:

Answer:

The perimeter of the resulting image is 13 centimeters

Step-by-step explanation:

we know that

Rotation, reflection, and translation are transformations that do not produce changes in the dimensions of the figure, while dilation is a transformation that does affect the dimensions of the figure.

In this problem, we have rotation and reflection

therefore

The perimeter of the resulting figure is the same as the original figure

Answer:

y= 1.2x+1

Step-by-step explanation:

(0,1) and (-5,-5) are coordinates that you already know and are fs about. So you just see rise over run. 6/5 = 1.2 which is your slope. the y-int is 1 bc thats where it intersects. so your equation is y=1.2x+1

double check:

y = 1.2(-5) + 1

y = -6 + 1

y = -5

coordinates : (-5,-5)

The value of x in given figure is 100°

What do you mean by the term Angle ?

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

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Answer:

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Step-by-step explanation:

The area of the reference section excluding its storage area ([tex]A[/tex]), in square feet, is the area of the greater circular sector minus the lesser circular sector, that is:

[tex]A = \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}} \times \pi \times (37.5\,ft)^{2} - \frac{1}{2}\times \frac{45^{\circ}}{180^{\circ}}\times \pi \times (12\,ft)^{2}[/tex]

[tex]A \approx 157.781\,ft^{2}[/tex]

The area of the reference section excluding its storage area is approximately 157.78 square feet.

Answer:

I think this is what the graph looks like.

Step-by-step explanation:

I hope this helps.sorry if it's wrong.

Answer:

it will go through the points (-1, 4), (0,0), and (1, 4)

Step-by-step explanation:

Answer:

all exept c i think

Answer:

The answer is 67.5!!

Step-by-step explanation:

Brainliest Please!

Step-by-step explanation:

[tex]2 \times 3 = 6 \\ 6 \times 2 = 12[/tex]