Mathematics High School

Calculate the area of triangles using two different methods. figures are now drawn to scale.

Answers

Answer 1

Answer:

the formula is base times hight divided by two so use the formula to sovle the problem

Step-by-step explanation:

Answer 2

The area of the triangles given are 52.5 feet² and 369 inches² respectively.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The basic formula to calculate the area of a triangle is,

Area = [tex]\frac{1}{2}[/tex] × base × height

1. Base = 12 + 3 = 15 feet

Altitude/height = 7 feet

Area = [tex]\frac{1}{2}[/tex] × 15 × 7 = 52.5 feet²

2. Calculating the area of two separate triangles and then adding it,

Area = ([tex]\frac{1}{2}[/tex] × 32 × 18) + ([tex]\frac{1}{2}[/tex] × 9 × 18)

= 288 + 81

= 369 inches²

Hence the area of the two figures is 52.5 feet² and 369 inches² respectively.

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Related Questions

describe the relationship between the base and the exponent in 43.

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Answer:

Step-by-step explanation:

How many 1/2 cup servings are in a box of oatmeal that contains 6 3/4

Answers

6 and 3/4 divided by 1/2

27/4 divided by 1/2

27/4 * 2/1 = 27/2 = 13 and 1/2

Alexa and her friends went out for pizza to celebrate the softball team’s victory. Their total bill for the pizza and drinks was $32.50. If they left a 20% tip for their server, how much tip did they leave?

How do I solve this problem?

Answers

Answer:

$39

Step-by-step explanation:

32.50:100 × 20 = $6.50

32.50+6.50 = $39

i need help ill give brainiest

Answers

Answer:

9 ft

Step-by-step explanation:

its volume is equal to the area by height;

(2.5 x 3)h = 67.5

h = 9ft

Given:

Volume of triangular prism is 67.5 cubic feet

Height of triangular prism is 3 feet

Base width of triangular prism is 5 feet

Length of triangular prism is 't'

To find:

Value of 't'

Steps:

The formula for volume of triangular prism is,

volume of triangular prism = [tex]\frac{1}{2}[/tex] × Width × Height × Length

67.5 = [tex]\frac{1}{2}[/tex] × 5 × 3 × t

67.5 = [tex]\frac{1}{2}[/tex] × 15 × t

[tex]\frac{67.5}{15} = \frac{t}{2}[/tex]

[tex]4.5 = \frac{t}{2}[/tex]

[tex]4.5 * 2 = t[/tex]

[tex]9 = t[/tex]

[tex]t = 9[/tex]

Therefore the value of 't' is D) 9 feet

Happy to help :)

If you have any doubt or explanation feel free to ask

Answer:

9 ounces.

Step-by-step explanation:

Answer:

12 ounces on the box

Step-by-step explanation:

l have tried

When factored completely,
X^3-7x^2-30x

Answers

Answer:

x(x+3)(x−10)

Step-by-step explanation:

Hope this was helpful let me know if it was!

A plane is flying at an altitude of 17,000 feet. The angle of depression from the plane to the airport on the ground is 21°. What is the distance between the plane and the airport to the nearest 10th of a foot

Answers

Answer:

47,433.0 feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Height of the plane = opposite = 17000feet

distance between the plane and the airport = hypotenuse = x

Angle of depression = 21 degrees

Since Sin theta = opp/hyp

Sin 21 = 17000/x

x = 17000/sin21

x = 17000/0.3584

x = 47,433.0

Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet

Answer:

47437.3

Step-by-step explanation:

10 points
8. Sally works at a furniture store. She earns $420 a week plus 5.25%
commission on her sales. One week her sales are $2200. What is her total
income for the week? *
$535.50
$536.50
$555.00

Answers

Answer:

Answer: $535.50

Step-by-step explanation:

All you had to so was multiply $2200 by 5.25%. Which would then give you 115.5$ and then you add $420, which would give you the final answer of $535.50

Evaluate 1 3/7-(2/3+5/7)

Answers

Answer:

13/7 - (14/21 + 15/21)

Step-by-step explanation:

= 13/7 - ( 29/21)

= 39/21 - 29/21 = 10/21 = 0.47

Answer:

that's the answer .......

Consider best strategy to solve the problem. If 9 inches are equal to 27 feet on a map how many feet are equal to three inches

Answers

Answer:

Step-by-step explanation:

If 9 inches equal 27 what you would do is divide in order to find how much feet would be in 1 inch. So:

9/27= 3 feet

Then to find how much feet are equal to 3 inches you just multiply that by 3. So your answer is 9 feet.

Overall the work should look like

9 inches= 27 feet

9/9 inches= 27/9 feet

1 inch = 3 feet

3 inches x 3 feet

= 9

One person takes up about 2.5 square feet of space. Use this value to estimate how many people can fit
in an area that is 20 feet wide and 25 feet long.

Answers

An area that is 20 feet wide and 25 feet long will be 20*25 = 500 square feet large. Division tells us how many times one number is contained within a number, so to find how many 2.5 square feet large people fit in a 500 square feet large space, we do 500/2.5 = 200 people.

(10*2)*3=( )* ( ) * ( )
=
=

Answers

Answer:

c= 10 d=2 e=10 f=2 g= 10 h= 6 k=1

Step-by-step explanation:

I am not sure about the g, h and k though.

but cube root means the number thrice.

I hope it helps.

Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown

Answers

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

Plz answer I'll give brainliest

Answers

Answer:

0 < x < 6

Step-by-step explanation:

triangle sides:

other sides subtracted < third side < other sides added

4-3 < x+1 < 4+3

1 < x+1 < 7

1-1 < x+1-1 < 7-1

0 < x < 6

Hope this helps :)

x² + y² = r²

3² + 4² = (x+1)²

9 + 16 = (x+1)²

(x+1)² = 25

take root for both

x+1 = ±5

x = -6

x = 4

-6

help me plzzzzzzzzzz

Answers

Answer:

v2(v+7)(v+2)(v−2)

Step-by-step explanation:

give the lowest common multiple and the highest common factor for each pair of numbers 100 and 132

Answers

Answer:

LCM,

(Least common multiple)

100 and 132 is 3300

The GCF

(Greatest common factor)

100 and 132 is 4

help plsssssss someone

Answers

The answer would be C.

Answer:

672

Step-by-step explanation:

The class decides to make chocolate chip cookies for Mr. Burn’s first day of school in September. Each student needs 3⁄4 of a stick of butter for the recipe. If 14 students want to make cookies, how many sticks of butter do they need to buy?

Answers

Answer:

10 1/2 sticks, or 11 sticks with half a stick left over.

Step-by-step explanation:

If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2

Jaden cut a square sheet of paper in half along a diagonal to make two equal
triangles. Each triangle has an area of 0.08 square units. What is the length,
in units, of one side of the square?

Answers

If each triangle is 0.08 then the area of the square would be 0.16 a square has 4 sides
0.16/4 = 0.04

The length of one side of the square is approximately 0.4 units.

Let's assume that the side length of the square is "s" units.

When the square sheet of paper is cut in half along the diagonal, it forms two equal right-angled triangles. The area of each triangle is given as 0.08 square units.

The formula for the area of a right-angled triangle is:

Area = (1/2) * base * height

Since the triangles are equal, we can write:

0.08 = (1/2) * base * height

Now, let's find the base and height of one of the triangles. Since the triangle is a right-angled triangle, the base and height are the legs of the triangle.

Let's assume the base and height of one triangle are "b" and "h," respectively.

0.08 = (1/2) * b * h

We are given that the area of each triangle is 0.08 square units, so we can write:

0.08 = (1/2) * s * s

Now, we can solve for "s":

[tex]s^2 = 0.08 * 2\\s^2 = 0.16[/tex]

Take the square root of both sides:

[tex]s = \sqrt{0.16}\\s \approx 0.4[/tex]

So, the length of one side of the square is approximately 0.4 units.

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Write an equation to represent the puppy's
weight in terms of the number of weeks since the person got the puppy.

I need one equation for Camille and one for Olivia PLSS

Answers

Answer:

Camille:[tex]y=\frac{n}{2} +\frac{3}{2}[/tex]

Olivia: [tex]y=x+4[/tex]

Step-by-step explanation:

hope it helps have a great day

Please someone give me correct answer to this problem.
I need help!!!!
I will mark you brainliest for the correct answer.
Please help!!!!!!!!!!!!!!!!!!!☹

Answers

Answer:

The answer is 128 degrees

52 because they need to add up to 180. 48+80=128. 180-128= 52 which is the measure of angle B

Solve for x.parallelogram
Plz show steps so I can learn

Answers

Answer:

in a parallelogram .......the sum.of adjacent angles is 180

11x-10+80=180

11x=110

x=10

A salesman earend a $325 salery this month. His total sales were $700. If the salesman earend a total of $360. What was his commission rate?

Answers

Answer:

Commission rate= 5% of sales

Step-by-step explanation:

Giving the following information:

Fixed salary= $325

Monthly salary= $360

Sales= $700

First, we need to calculate the commissions:

Commission= monthly salary - fixed salary

Commission= 360 - 325

Commission= $35

Now, the commission rate:

Commission= commission rate* sales

35 = commission rate*700

0.05= commission rate

commission rate= 5% of sales

Miranda's wages are $16 per hour. Enter a linear equation that gives the wages w in dollars that Miranda
earns in h hours.
Wages ($)
Time (hr)
The equation is

Answers

Answer:

y = 16x

Step-by-step explanation:

Please Help Me Please

Answers

I want to say it’s C, but am not 100% sure

Answer: D) [tex]64%[/tex]% well I did not find the exact percent but I figured out it had to be more the [tex]50%[/tex]% so D

Step-by-step explanation:

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