Two right triangles are similar. The legs of the smaller triangle have lengths of 15 and 20. The scale factor is 1:2. Find the length of the hypotenuse of the larger triangle.

Answers

Answer 1

Answer:

If the scale factor of corresponding sides is 1:2 then the hypotenuse if 50 units.

Step-by-step explanation:

Answer 2

The length of the hypotenuse of the larger triangle is 50 units.

What is the scale factor ?

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes.

For example, Two spheres look similar but could have different radii.

Let's denote the length of the hypotenuse of the smaller triangle as c, and the length of the hypotenuse of the larger triangle as C. Then we can write:

C/c = 2/1

Multiplying both sides by c, we get:

C = 2c

We can use the Pythagorean theorem to find the length of the hypotenuse c of the smaller triangle:

c² = 15² + 20²

c² = 225 + 400

c² = 625

c = 25

Substituting c = 25 in the equation above, we get:

C = 2(25)

C = 50

Therefore, the length of the hypotenuse of the larger triangle is 50 units.

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Related Questions

tricia made 56% on her science test. if she got 14 problems correct, how many questions were on the test

Answers

There were 30 questions

Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balance of $2,200. Using the formula I = P r t, how many years was his money invested? Work backwards-but find the Interest first!

Answers

Answer:

15 years

Step-by-step explanation:

Given data

P=$1,000

R=8%

A= $2200

I= A-P

I=2200-1000

I=$1200

Applying the formula

I=PRT/100

1200=1000*8*T/100

cross multiply

1200*100= 8000T

120000= 8000T

divide both sides by 8000

T=120000/8000

T=15  years

Hence the time is 15 years


PLEASE HELP THIS IS URGENT !

Complete the table by squaring each negative x-value listed.
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11

Answers

4, 9, 16, 25, 36, 49, 64, 81, 100, 121

a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.

For example (-2)*(-2) is 4

**note, this only applies if the negative value is in the parentheses. (-2)^2 is different than -2^2 because with -2^2 only the 2 is getting squared and then you’d have to multiply the negative after**

x                                         x3

-2                     -2^3 = -2 • -2 • -2 = -8

-3                     -3^3 = -3 • -3 • -3 = -27

-4                     -4^3 = -4 • -4 • -4 = -64

-5                     -5^3 = -5 • -5 • -5 = -125

-6                     -6^3 = -6 • -6 • -6 = -216

-7                     -7^3 = -7 • -7 • -7 = -343

-8                     -8^3 = -8 • -8 • -8 = -512

-9                     -9^3 = -9 • -9 • -9 = -729

-10                   -10^3 = -10 • -10 • -10 = -1,000

-11                     -11^3 = -11 • -11 • -11 = -1,331

Answer Straight From Edmentum/Brainly Hope it helps! :)

Solve for q.
7(q + 7) = 5q + 59

Answers

Answer:

5.

Step-by-step explanation:

7(q + 7) = 5q + 59

7q + 49 = 5q + 59

7q - 5q = 59 - 49

2q = 10

q = 5.

4p-2/4*2p+5/2*2/3
PLEASE SHOW THE WORKING
I WILL THANK WHOEVER ANSWERS ME AND MARK AS BRAINLIEST

Answers

Combining like terms is key in this expression.


4p - 2/4 • 2p + 5/2 • 2/3

Change denominators to be the same.

(2/4)(3) = 6/12
(5/2)(6) = 30/12
(2/3)(4) = 8/12

Now combine these three fractions.


-6/12 + 30/12 • 8/12

24/12 • 8/12

Reduce these two for easier work.

2/1 • 2/3 = 4/3


Combine the terms with p variables.

4p • 2p = 8p^2


Final answer is;

8p^2 + 4/3

1. In 2005, what type of on-the-job accident was associated with the highest number of
accidents per 100,00 Employees?
A. Falls
B. Electrical
C. Mechanical
D. Poisoning or Chemical Exposure

Answers

Answer:

It's the chemical because they have to work with dangerous stuff.


A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?

Answers

Answer:

ima guess $262.50

Step-by-step explanation:

Every two years, there is a local election in a small town. In 2015, a total of 29,000 voters turned out in the election. In 2017, the number of voters decreased by 16%. In 2019, the number of voters increased by 22%. How many voters turned out in the election for 2019?

Answers

Answer:

29719.2

Step-by-step explanation:

The "h" in the lateral area formula, L = Ph, stands for

Answers

P= perimeter of the base P=(2 x L) + (2 x w) h= height. Total Surface area: S= Ph + 2B.

Find the unit rate. Round to the nearest hundredth, if necessary.
$3.99 for 17 lb
The unit rate is

Answers

3.99 divided by 17 = .23 cents per lb

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

0.15
0.47
0.69
0.79

Answers

It suppose to be 0.47

The probability that a randomly selected voice-controlled television is also connected to the internet is 0.69.

Option C is correct.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

let P(V) is the probability of selecting a voice controlled television

and, P(I) is the probability that a selected television is connected to the internet.

So, the probability that a randomly selected voice-controlled television is also connected to the internet

P(I|V) = P(I ∩ V)/P(V)

P( I ∩ V) = 22%

P(V) = 32%

So, P(I|V) = 22%/32% = 0.6875

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Find the curved surface area of the spheres whose radius r = 3.5cm

Answers

Answer:

        154 cm²    

Step-by-step explanation:

[tex]A=4\pi r^2\\\\r=3.5\,cm\\\\ A=4\pi(3.5)^2=49\pi=153.93804...\approx154\ cm^2[/tex]

WILL GIVE BRAINLIEST AND 20 POINTS!
One side of a square room measures 24 ft. How many square yards of carpet are necessary to carpet the room? Hint: 1 yd2 = 9 ft2.
yd2

Answers

Answer:

64 square yards

Step-by-step explanation:

If the room is a square, then all sides of the room should be equal. To find the area of the room, we would need to multiply 2 adjacent sides of the room, meaning 24 x 24 = 576. Since we need yards of carpet, not feet, and we know that 1 square yard is 9 square feet, we divide our total area in feet by 9. This gives us 64sq yards of carpet

i need help. can anybody help me​

Answers

Answer:

positive 1/2

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

3-2/0-2= 0.5

f(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)

Answers

Answer:

6 and 7

Step-by-step explanation:

To evaluate f(3), substitute x = 3 into f(x) , that is

f(3) = 2(3) = 6

To evaluate g(f(3)), substitute f(3) = 6 into g(x)

g(6) = 6 + 1 = 7

x3 +y3 when x=3 and y=4

Answers

Here’s the answer for your question hope this helps!

TV has a listed price of 623.98 if the sales tax rate is 8.5 find the total cost of the TV with the sales tax included​

Answers

Answer:

$677.02

Step-by-step explanation:

623.98 increase 8.5% =

623.98 × (1 + 8.5%) = 623.98 × (1 + 0.085) = 677.0183

Solve the following inequality algebraically. |x - 2| > 11​

Answers

Answer:

SO HARD I CANT DO IT.

IM STILL 10 SORRY :(

(0,5), (1,6), (2,9), and (3,14) are points on the graph of a function. Which of the following equations represents that function?
O A. g(x)= x2 + 5
O B. g(x)=522 +5
O C. g(x)= 3x2 +5
o D. g(x)= x + 5

Answers

Answer:

Step-by-step explanation:

It's with c or d I am confused with those two

Someone help me I don’t know how to do this

Answers

Answer:

17 and 59

Step-by-step explanation:

90-75=17 first one

180-121=59 second one plz give me brainnessttttt pllzzzz

Hey there!

So the first angle is a complementary angle, meaning that two angles put together will equal 90 degrees. Since we already know that one angle is 75 degrees, all we need to do is 90-75 and we get 15 degrees, which is the value of the missing angle.

The second angle is a supplementary angle, which means two angles equal 180 degrees. Since we know that one angle is 121 degrees, we can take that and subtract is from 180 degrees to get 59 degrees, which is the value of the missing angle.

Remember:

A complementary angle is made of up TWO angles that add up to 90 degrees.

A supplementary angle is made up of TWO angles that add up to 180 degrees.

I hope this helped!!!

Find the product.
10(-7)

Answers

Answer:

-70

Step-by-step explanation:

If a number is right by a parathesis () then you multiply the number inside the parathesis by the number next to them.

-70 (multiply what’s in the parenthesis and since there’s only one negative number in your problem it’s negative

Solve. Express your answer as a simplified mixed number

5/6 divided by 3/10

Please help:)

Answers

stick change flip
5/6 x 10/3 = 50/18 2 14/18 simplify 2 7/9
2.7777 awnser pls mark brainliest

Simplify the polynomials. Write your answer in standard form.
(x-4) (5x^2 + 3x-2)

Answers

Answer:

-2+4x+5x^2

Step-by-step explanation:

add together what can be added together

x and 3x

-4 and -2

and 5x^2 all by itself

Help me, correct answers appreciated ​

Answers

Answer:

No

Step-by-step explanation:

-6 is X

-10 is Y

-10 is smaller than - 8

Answer is -6
-10 is smaller than -8
-6 is greater than -8
So therefore -6 is the answer

A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn
from the bag.
What is the approximate probability that exactly two of the five are blue?
O 1%
04%
O 36%
40%

Answers

Answer: The approximate probability that exactly two of the five are blue is 0.3641

Step-by-step explanation:

HELP please!!! ill give brainliest :)

Answers

I’m pretty sure the correct answer is B

(7х3 – 8х2 - 13х + 2) - (7x - 1)

Answers

Answer:

The answer is 7x^3 - 8x^2 - 20x + 3

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Can someone show me the steps to solving this
(Rationalizing Denominator)

Answers

Answer:

[tex] \huge \purple {\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]

Step-by-step Explanation:

[tex] \huge \frac{2 + \sqrt[3]{3} }{ \sqrt[3]{6} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6} \times \sqrt[3]{6} }{\sqrt[3]{6} \times \sqrt[3]{6}} \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )}{ \sqrt[3]{6} } \times \frac{ \sqrt[3]{6 ^{2} } }{\sqrt[3]{6^{2}} } \\ \\ = \huge \frac{(2 + \sqrt[3]{3} )\sqrt[3]{6} }{ \sqrt[3]{6} \times \sqrt[3]{6 ^{2} }} \\ \\ = \huge \frac{(2 \sqrt[3]{6} + \sqrt[3]{3} \sqrt[3]{6} )}{ \sqrt[3]{6 ^{3} }} \\ \\ = \huge \orange{\frac{2 \sqrt[3]{6} + \sqrt[3]{18} }{ 6} }[/tex]

This is the graph of f(x). What is the value of f(2)?
101
-5
O A. 2
B. 6
C. 5
D. 9

Answers

Answer:

9

Step-by-step explanation:

We have been given a graph of a function and we are asked to find the value of our function at x equals 2.

To find the value of f(2), we will see what is the value of y when x is 2.

We can see from our given graph that at x equals 2 our function is at 9.

I'm very confused on this.

Answers

Yeah me too, pero me no ingles, lo siento, necesito el punto
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