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NISA [10]
3 years ago
13

the hypotenuse of a triangle is one foot more than twice the length of the shorter legal. the longer leg is seven feet longer th

an the shorter leg. find the dimensions of the triangle
Mathematics
2 answers:
wolverine [178]3 years ago
6 0
8, 15, 17

You can do this by using the Pythagorean Theorem and setting the sides equal to

shorter leg = x
longer leg = x + 7
hypotenuse = 2x + 1

Then solve so that one side is equal to zero and use the quadratic formula.
Rus_ich [418]3 years ago
3 0

Answer:

<h2>The dimensions of the right triangle are 8, 15 and 17.</h2>

Step-by-step explanation:

First, we need to express the problem in equations. We will use the pythagorean theorem because we have a right triangle.

The longer side we're gonna call it l.

The shorter side will be s

The hypothenuse will be h

Now, the problem is giving us relations.

<h3>"The hypothenuse is one foot more than twice the length of the shorter leg"</h3>

This can be expressed like h=1+2s

<h3>"The longer leg is seven feet longer than the shorter leg"</h3>

This can be expressed like l=7+s

Now, applying the pythagorean theorem, we have:

h^{2}=s^{2}+l^{2}\\(1+2s)^{2}= s^{2}+(7+s)^{2}\\1+4s+4s^{2}= s^{2}+49+14s+s^{2}\\ 2s^{2}-10s-48=0\\s^{2}-5s-24=0\\(s-8)(s+3)=0\\s=8\\s=-3

From these values, we use the positive one, because it refers to length. Replacing this value in each expression, we find each element of the triangle:

h=1+2s=1+2(8)=17

l=7+s=15

Therefore, the dimensions of the right triangle are 8, 15 and 17.

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QUESTION 6
Oxana [17]

Answer:

Option D. 17%

Step-by-step explanation:

we have

f(x)=250,000(1.17)^{x}

This is a exponential function of the form

f(x)=a(b)^{x}

where

a is the initial value

b is the base

In this problem

a=250,000 people

b=1.17

Remember that

b=1+r

so

1+r=1.17

r=1.17-1=0.17

Convert to percentage

0.17*100=17%

8 0
3 years ago
Read 2 more answers
A skyrocket is launched from a 30–foot-high platform, with initial speed 300 ft/s. If the polynomial −16t2 + 300t + 30 gives the
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Answer:

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Step-by-step explanation:

Given the polynomial equation

-16t² + 300t + 30 = 0

We're asked to find how high the rocket would rise in a 2 second fuse rise. This is a simple instruction that can be obtained by setting the unknown, t, in the equation to 2. Doing this, we have

-16 * 2² + 300 * 2 + 30

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Then, we can therefore conclude that the rocket will rise high up to a distance of 566 ft

8 0
3 years ago
The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the
guajiro [1.7K]

Answer:

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Step-by-step explanation:

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(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

7 0
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What is 4/3 ft x 15 inches <br> I need the anwser in inches
qaws [65]

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3/45

Step-by-step explanation:

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3 years ago
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What is the answer to 4/5 - 3/4?
azamat

Answer: 1/20

Step-by-step explanation:

you need to find a common denominator (least common multiple of both denominators)

4/5 - 3/4

16/20 - 15/20

1/20

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3 years ago
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