The triangle shown has an area of 32.5 square centimeters. Find the measure of the base (segment XY)

The Triangle Shown Has An Area Of 32.5 Square Centimeters. Find The Measure Of The Base (segment XY)

Answers

Answer 1

Answer:

XY = 13 cm

Step-by-step explanation:

Area of a triangle formula:

area = base × height / 2

a = bh / 2

Plug numbers into equation:

32.5 = b × 5 / 2

Multiply both sides by 2 to isolate the variable

65 = b × 5

Divide both sides by 5 to isolate the variable

13 = b

Check your work:

32.5 = 13 × 5 / 2

32.5 = 65 / 2

32.5 = 32.5

Correct

Answer 2

Answer:

13

Step-by-step explanation:

Area=½×b×h

32.5=½×b×5

32.5=5/2b

To get be multiply each side by reciprocal of 5/2 which is 2/5

b =13


Related Questions

Which equation has a slope of -4 and a y-intercept of -2?​

Answers

Answer:

y=-4x-2

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

what are angles? how do i solve them?

Answers

https://courses.lumenlearning.com/prealgebra/chapter/using-properties-of-angles-to-solve-problems/#:~:text=We%20measure%20angles%20in%20degrees,they%20are%20called%20supplementary%20angles.

Answer: do you mean how to find the degree?

Step-by-step explanation:

Count the number of sides in the polygon.

Find the total measure of all of the interior angles in the polygon

Divide the total measure of all of a regular polygon's angles by the number of its angles.

Subtract the sum of the known angles from the total measure of the angles for an irregular polygon.

it really depends

PLEASE HELP Determine W and X in Circle M

Answers

your answer will be

w=16°

X=148°

Step-by-step explanation:

hope it helps you

have a great day!!

Solve for x
−3x ≤−18

Answers

Answer:

x ≥ 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

-3x ≤ -18

Step 2: Solve for x

[Division Property of Equality] Divide -3 on both sides:                                x ≥ 6

Coverage for injury and property damage sustained by others for which you or covered residents of your household are legally responsible is known as a(n) _____.

Answers

Answer:

Liability insurance

Step-by-step explanation:

Liability insurance provides protection against claims resulting from injuries and damage to people and/or property. Liability insurance covers legal costs and payouts for which the insured party would be found liable. Provisions not covered include Intentional damage, contractual liabilities, and criminal prosecution.

Calculate the distance the train will travel in 3/4 hour.

Answers

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

What is the area of a
sector in a circle with a
7 m. radius and a central
angle of 100°?

Answers

Answer:

42.74 m²

Step-by-step explanation:

full circle area = πr² = (3.14)(7²) = 153.86 m²

(100°/360°)(153.86 m²) = 42.74 m²

1 picture 2 questions please and thank you

Answers

Answer:

Step-by-step explanation:

Which expression shows the result of applying the distributive property to 12(5y+4)?


60y + 4

5y + 48

17y + 16

60y + 48

Answers

Answer:

60y+48

Step-by-step explanation:

Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Answers

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

Someone answered this question with a link that didn't work so i need help

Answers

Answer:

y=0.875x + 6

Step-by-step explanation:

Answer:

Y= 7/8X+6

Step-by-step explanation:

Good luck bro .

» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m

Answers

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

2 EASY QUESTIONS HELP

Answers

Answer:

a. 3 5/6

b. 5 1/7

Step-by-step explanation:

Answer:

5.83333333333
5.14285714286

Step-by-step explanation:

Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?

Answers

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

please help me i need it fast

Answers

Answer:

20x^3/4x7

20/4x^4

5/x^4

Step-by-step explanation:

Please help me with this

Answers

Answer:

i cant see it...

Step-by-step explanation:

...

please help me?
John has $13. She saves $3 every day. How many days will it take John to save $28?

Answers

Answer:5 days

Step-by-step explanation:

13+3=16

16+3=19

19+3=22

22+3=25

25+3=28

Simplify the expression

Answers

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):

(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

Answer:

The answer is [tex]\frac{3x}{5x+2}[/tex]

Step-by-step explanation:

1) Factor out the common term x.

[tex]\frac{3x^{2} }{x(5x+2)}[/tex]

2) Simplify.

[tex]\frac{3}{5x+2}[/tex]

Thereofor, the answer is Option D.

In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.

Answers

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

PLEASE HELP

Write the equation that models the linear relationship.

The equation ____ models the linear relationship

(Use integers or tractions for any numbers in the
equation)

Answers

y= -3x -5 should be the answer

Write an equation of the line in slope-intercept form. (0,2)(3,3)​

Answers

Answer:

Slope = 1/3

Step-by-step explanation:

Hope this helps.

M=y2-y1/x2-x1
= 3-2/3-0 =1/3
Y=mx+b
Y=1/3x +b
X=0
Y=2
2=1/3(0)+b
b= 2
Y=1/3x + 2

Even more trig ratios see attachment

Answers

Step-by-step explanation:

1. Use the Pythagorean theorem to solve for side KM:

16^2+KM^2=34^2256+KM^2=1156KM^2=900KM=30

2. Cosine is adjacent over hypotenuse, so cosine of M would be KM/34, or 30/34

3. Tangent is opposite over adjacent, so tangent of L will be KM/16, or 30/16

4. Sine is opposite over hypotenuse, so sine of M will be 16/34

5. KM=30, solved for in step 1.

hope this helps!!

Find the values of x and y so that GHJK is a dart. Be sure to show all work .

Answers

Answer:

Step-by-step explanation:

In dart, adjacent sides are equal

JK = GK

3x - 9 = x + 13            {Add 9 to both sides}

3x      = x + 13 + 9

    3x = x + 22            {Subtract 'x' from both sides}

3x -x = 22

 2x  = 22           {Divide both sides by 2}

   x = 22/2

x = 11

JH = GH

9y = 5y + 8  {Subtract 5y from both sides}

9y - 5y = 8

    4y = 8        {Divide both sides by 4}  

  y   = 8/4

y = 2

Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else

Answers

Answer:

78:4

Step-by-step explanation:

Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%

Answers

Music 28%

Athletics 42%

Neither 30%

What is the factored form of x^2+4x-12=0

Answers

Answer:

if this is what you looking for

= 2

x = − 6

6Step-by-step explanation:

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?

Answers

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

The length of the base of a triangle with a constant area varies
inversely as the triangle's height. When the base is 36 inches, the
height is 8 inches. Find the length of the base when the height is
12 inches.

Answers

Answer: 102

Step-by-step explanation:

Does anyone know this answer???

Answers

Answer:

VX has the greatest length

The answer is B which is VX

Help 10 pts!!!
A cedar chest is a shaped like a rectangular prism. The cedar chest is 2 feet tall, 4 feet wide, and 2 feet deep.
What is the surface area of the cedar chest?

Answers

Answer:

40 ft^2

Step-by-step explanation:

lateral surface area -Slat = 24 ft^2

top surface area-Stop = 8 ft^2

bottom surface area -Sbot = 8 ft^2

24+8+8= 40

total surface area -Stot = 40 ft^2

Answer:

40

Step-by-step explanation:

took the test

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