A right triangle has an area of 50 square inches. Part 1 out of 2 If the triangle is an isosceles triangle, what are the lengths of the legs of the triangle?

Answers

Answer 1

Answer:

The lengths of the legs of the triangle are 10 inches.

Step-by-step explanation:

The lengths of the legs (l) can be found from the area:

[tex] A = \frac{bh}{2} [/tex]

Where:

A: is the area = 50 in²

b: is the base

h: is the height  

Since the right triangle is isosceles, the base and the height are the same. The height and the base are the legs (l).

[tex] b = h = l [/tex]    

Then the lengths of the legs are:

[tex] A = \frac{l^{2}}{2} [/tex]

[tex] l = \sqrt{2A} = \sqrt{2*50} = 10 in [/tex]

Hence, the lengths of the legs of the triangle are 10 inches.

I hope it helps you!                                                              


Related Questions

Can someone help (it about arc length and area)

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

[tex]\angle TPR=8x+7-75=360-150-91-75\\8x=112\\x=14[/tex]

FIND THE SURFACE AREA. I WILL MARK YOU A BRAINLEST IF THE ANSWER IS RIGHT

Answers

Answer:

SA= 222cm ^2

Step-by-step explanation:

Surface area of the prism = (Perimeter of the base of the prism) × height + 2(area of the base)

Perimeter of the base = 5 + 3 + 2 + 2 + 2 + 3 + 5 + 8

                                      = 30

Area of the base = 8×5 - 2×2 = 36 cm²

Surface area of the prism = 30×5 + 2×(36)= 222 cm²

For a school project, Sarah plans to build a scale model of an Egyptian pyramid. She will be using a scale of: 1 cm = 5 meters.

If the pyramid is 140 meters tall, how tall will her model pyramid be?
A.
56 centimeters
B.
28 centimeters
C.
32 centimeters
D.
28 meters

Answers

Answer:

B

Step-by-step explanation:

you divide 140 by 5 so 28 is the answer

B .28cm

Step-by-step explanation:

if 1cm=5m

then,140=×

1cm=5cm

cross multiply to get;

140÷5=28(cm)

=28cm

Divide 468 in the ratio 4:5

Answers

468 divided to the ratio 4:5 is 208 : 260.

GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 28pts-

Answers

Answer:

Step-by-step explanation:

A=1/4πd2

A = 1/4(22/7)(18)^2

= 254.47

A rectangle is 8/3 meters long and 3/4 of a meter wide. What is the total area in square meters of there rectangle

Answers

Answer:

2 meters^2

Step-by-step explanation:

Area of a rectangle = length x width

8/3 x 3/4 = 2

Mary simplified the math expression below. The steps that she took are shown. Which is the line where Mary first made her mistake. Line A: – 6 + 9 Line B: [8 + 5 x 3] – 6 + 9 Line C: – 6 + 9 Line D: 23 – 6 + 9 Line E: 23 – 15 Line F: 8

Answers

Answer:

Line E

Step-by-step explanation:

Given

The instructions in the question

Required

The first line of mistake

The question has missing details, as the original expression is not given;

Reading through the question, one can observe that, Mary made a mistake at Line E.

The expression on D is:

[tex]23 - 6 + 9[/tex]

The expression on E is:

[tex]23 - 15[/tex]

The actual result of D is:

[tex]23 - 6 + 9 = 23 + 3[/tex]

not

[tex]23 - 15[/tex]

Because:

[tex]-6 + 9 = 3[/tex]

[tex]-6 + 9 \ne 15[/tex]

With the available information, we can conclude that Mary's first mistake is at line E

Help please explain answer.

Answers

Answer:

A. 20

Step-by-step explanation:

Firstly, you have an equation  where x is unknown.

It is said to find the result of this equation if x is 5.

That means you have to substitute 5 instead of x in your equation.

That will be:

3*5+4*5-15

When you calculate that, you get number 20.

Suppose c varies jointly with a and b. When c = 25, a = 2, and b = 2.5. What is the value of c when b = 4/3 and a = 6?

Answers

You have to find the value of c when b=4/3and a=6

consider the following equations: -x-y=1 y=x+3 if the two equations are graphed, at what point do the lines representing the two equations intersect? (-1,2) (-2,1) (1,-2) (2,-1)

Answers

Answer:

(-2, 1)

Step-by-step explanation:

consider the following equations: -x-y=1 y=x+3

For the lines to intersect, the  values must be the same

-x-y=1

x + y = -1

y = -x - 1

Equating the y values

-x - 1 = x+ 3

-x-x = 3 + 1

-2x = 4

x = 4/-2

x = -2

Substitute x = -2 into y = x+3

y = -2 + 3

y = 1

Hence the required coordinate is (-2, 1)

$495? Rounded to the nearest cent

Answers

Answer:

See the explanation

Step-by-step explanation:

Given data

The Given figure is already a whole number

Say the figure is $495.566

Then we can round this up to the nearest cent by considering the third decimal place

Hence the rounded figure will be

=$495.57



Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?

Answers

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets

Find the area of the triangle.
14 m
18 m

Answers

Answer:

126

Step-by-step explanation:

trust

Answer:

if your base is 14 and your height is 18 or the other way around then its:

14 x 18 = 252

252 divided by 2 = 126

Step-by-step explanation:

Formula of a triangle:

BH x 1/2 (basically dividing by 2)

B is your base which is the length on the bottom of the triangle and the height is the line that is put in between the triangle. You multiply those then divide by 2 since your multiply 2 with it.

I really don't understand this on so can somebody pls help me pls

Answers

Answer:

first: 140

second: 9

third: 19

Step-by-step explanation:

the first question is x=140 because they are opposite angles.

second is also opposite so 4x=36, x=9

third is also opposite so 4x+5=81, 4x=81-5, x=19

Which of the following does not represent
function of x?

Answers

Answer:

F

Step-by-step explanation:

The x and y do not match up

Answer:

It is F.

Step-by-step explanation:

It is F because all the x's are the same as that cannot happen.

i need help pls (づ。◕‿‿◕。)づ

Answers

Answer:

no shortcuts can be used

Answer:

You need to multiply the number of choices in both sets.

Step-by-step explanation:

For example, you have an outcome being 4. You need to multiply the two numbers to get the outcome. Same with the rest of the outcomes in the chart.

Hope this helps!

Who can do this whoever best explains is I'll give you brainliest pls asap

Answers

9514 1404 393

Answer:

  -3x³y∛9

Step-by-step explanation:

The expression can be simplified by removing perfect cubes from under the radical.

  [tex]\sqrt[3]{-243x^9y^3}=\sqrt[3]{(-3x^3y)^3\cdot9}=\boxed{-3x^3y\sqrt[3]{9}}[/tex]

__

It helps to realize that 243 = 3^5 = (3^3)(3^2).

Please Help me with this question. Needs to be the correct answer.

Answers

Answer:

the answer is 216 sq m

Step-by-step explanation:

HIIII could some one help me !!!

Answers

Answer:

the (left)box on the slanted line is the hypotenuse and the lowest and right box are both the leg

Step-by-step explanation:

What is the angle measurement of the angle RUS

Answers

Answer:

Angle RUS = 160°

Step-by-step explanation:

Angle QUT is 160, and since angles QUT and RUS are vertical angles, they are congruent to each other.

So, Angle RUS = 160°

Find the area of the parallelogram, 22mm 11mm. Please help im stu-pid

Answers

The total area of the parallelogram is 242

Step by step:

A = b h = 22 x 11 = 242

Helppppp distance time graphhhhhh

Answers

Answer:

Ralph walked to Sherwood at a constant speed.

Step-by-step explanation:

Any horizontal lines on a distance time graph represent a moment where you are still, so that rules out graph 4 and graph 3. Because Ralph is at a constant speed, the gradient of the line won’t change, meaning the answer has to be Ralph walked to Sherwood at a constant speed.

Kenney High School’s swimming pool is 25 yards long. The pool has 8 lanes, each of
which is 3 yards wide. The pool is filled to a depth of 6 feet.
a. What are the length and width of the pool in terms of feet? (4 points)
Length: __________ ft.
Width: __________ ft.
b. How many cubic feet of water are in the pool? (3 points)
Volume: __________ ft3
c. If one cubic foot contains about 7.5 gallons, how many gallons of water are in
the pool? (3 points)
Water: __________ gallons

Answers

Answer:

Length = 75 ft

Width = 72 feet

Volume = 32,400 ft3

Water is around 242,998 gallons

Step-by-step explanation:

Just convert the yards to feet

25 yards long = 75 ft in length

8 lanes * 3 yards wide = 24 yards = 72 feet wide

And then for the volume, since it's a swimming pool, the formula will be l*w*h, and if we plug in the numbers (75 * 72 * 6 (it's 6 because they said the depth was six and in a pool the depth = height)) and that'll equal 32,400 ft to the third power

For the water, we just have to multiply the volume by 7.5 gallons by converting 7.5 gallons to feet, and then multiplying that by the volume, and then converting that to feet, and the final answer is about 242,998 gallons

Answer:

Length; 75 ft  

Width; 72 feet  

Volume; 32,400  

Water is around 243k gallons

Step-by-step explanation:

50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Shante has 120 books in her book collection. 60% of her books are nonfiction. How many books are fiction

Answers

Answer:

72

Step-by-step explanation:

72

60 x 120

100

= 72

URGENT!!! NEED ASAP!!! TIMED TEST!!!
Given: x + 2 < -5.
Choose the solution set.
{x | x ∈ R, x < -3}
{x | x ∈ R, x < 3}
{x | x ∈ R, x < -7}
{x | x ∈ R, x < 7}
(Please answer as soon as you can!!)

Answers

Answer:

ok the answer is 10

Step-by-step explanation:

Just put 10 lol

Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly

Answers

Answer: 1/4

Step-by-step explanation:

Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:

= ⅜ + ½ + ¼

= 3/8 + 4/8 + 2/8

= 9/8

= 1 1/8

Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:

= 1/4 + 3/8 + 1/4

= 2/8 + 3/8 + 2/8

= 7/8

The numybe of paint that Destiny use more than Carla will be:

= 1 1/8 - 7/8

= 2/8

= 1/4

Destiny used 1/4 paint more than Carla

What is 27 1/2% as a fraction in simplest form?

Answers

Answer:

The simplest answer is to make the fraction 27/1, using the denominator 1. The number 27 is equal to 27 units. Also it can be written as 54/2 or 81/3 or 108/4 or 135/5, etc. In general you have 27n for the numerator and n for the denominator, where n is an integer greater than zero.

20 points
3. A suitcase measures 24 inches long and the width is 18 inches long.
How much ribbon is needed to go down both sides of the suitcase
diagonally? (Hint: Draw a picture and add both diagonals together.)

Answers

Answer:

60in

Step-by-step explanation:

Given data

Length= 24 in

Width = 18 in

Diagonally, we need to find using the Pythagoras theorem

D^2= L^2+W^2

D^2= 24^2+18^2

D^2= 576+324

D^2= 900

Square both sides

D= √900

D= 30 in

For both sides

=30*2= 60in

(Will Give Brainliest)

Answers

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

Other Questions
what's the valency of carbon , electron configuration 2,4? The radius of the circle below intersects the unit circle at (3/5,4,5) . What's the approximate value of e help pleaseeeeeeeeeeeeeeeee Any ideas/examples for a moral dilemma play?? (Any links or answers that are not related to the question will be reported) yo i need help please ill give a brainliest to whoever gets the correct answer If your answer is right Ill mark you! Read the line from Julius Caesar in Act IV. You yourself are much condemned to have an itching palm, to sell and mart your offices for gold. What is the meaning of the phrase "itching palm" in the excerpt? fear of losing something greed for money desire to make friends inability to stay in one place Which unit of length would a microscope best help to see?A 1 kilometerB 1 meterC 1 millimeterD 1 centimeter Use the graph to answer the question.On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).Which parametric equations describe the curve?x = t + 1 and y = 0.5t + 4 when 2 t 6 x = t + 1 and y = 0.5t + 4 when 5 t 3x = 0.5t + 4 and y = t + 1 when 2 t 6x = 0.5t + 4 and y = t + 1 when 5 t 3 ____________ is a principle of design that describes a visual effect that encourages a viewer's eyes to move across the parts of an artwork in a specific direction. 1. Motion Drawing 2. Visual Movement3. Movement Guide4. Actual Movement Deindustrialization affects the economic landscape of countries. Describe the change in the dominant economic sector during industrialization and during deindustrialization. Explain ONE spatial change in manufacturing employment patterns as a result of deindustrialization. Explain ONE likely outcome of deindustrialization in a region of manufacturing communities. Comparing the development of steel and the invention of the computer chip, explain how technological development drove economic change in both the Industrial Revolution and the transition to a service-based economy. Describe the significance of a growth pole in an urban or regional economy. Explain how post-Fordist methods of production have transformed operations at individual factories. Explain the degree to which least-cost theory predicts the local site-selection factors for the location of multinational service industry corporate offices. Name some influential women in various Rizalista groups and explain their significant roles in their respective organization How many times greater is the value of the 4 in 900,400 than the value of the 4 in 900,040 please help me faster! Sampson Company's accounting records show the following for the year ending on December 31, 2022. Purchase Discounts $ 11200 Freight-in 15600 Purchases 700020 Beginning Inventory 47000 Ending Inventory 57600 Purchase Returns and Allowances 12800 Using the periodic system, the cost of goods purchased is $660420. $717220. $708420. $691620. Fran is a CPA who has a small tax practice in addition to working as the controller for a local manufacturing business. Fran runs her tax practice out of a 150-square foot office in her home where she meets clients and works on their tax returns and researches their tax issues. She meets the exclusive use test for this space. The gross income from her tax practice amounts to $7,500 for the year. Business expenses amount to $1,000. Based on square footage, $4,000 of Fran's mortgage interest and real estate taxes are allocable to the home office. The allocable portion of maintenance, utilities, and depreciation is $4,500. Assuming no other expenses related to the business were incurred, what amount of the maintenance, utilities, and depreciation is deductible by Fran Why weremany people opposed toAfrican Americans enlistingin the Continental Army? define the following term:depression. economics. review john f kennedy's opening statement in the 1960s and write 2 paragraphs um just read the picture A 50 n force is acting on a lever 1.5 m from the fulcrum balances an object 1m from the fulcrum on the other arm. what is the weight of the object in n and what is the mass in kg What is the name of the Head of Ester P. Marinoff School?