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3 years ago

15

Plz no link i need real answers please

1 answer:

leonid [27]3 years ago

3 0

Answer:

You can download the link here:

https://rb.gy/tmu0gl

JKJKJKJKJKJKJKJKJKJKJK

Your answer is n = 9/8

Brainliest? Thx.

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Do you hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg the longer leg is 7 feet longer than the

Lera25 [3.4K]

Answer:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

Step-by-step explanation:

We are given $h=1+2s$ where $h$ is the hypotenuse and $s$ is the length of the shorter leg.

We got this equation from reading that the "hypotenuse of a triangle is 1 foot more than twice the length of the shorter leg". I replaced the "hypotenuse of a triangle" with $h$ , "is" with $=$ , "1 foot more than" with $1+$ and finally "twice the length of the shorter leg" with $2s$ .

We also have "longer leg is 7 feet longer than the shorter leg".

I'm going to replace "longer leg" with $L$ .

I'm going to replace "is" with $=$ .

I'm going to replace "7 feet longer than the shorter leg" with $7+s$ .

So we have the equation $L=7+s$ .

So we have a right triangle since something there is a side being referred to as the hypotenuse. We can use Pythagorean Theorem to find a relation between all these sides.

So by Pythagorean Theorem, we have: $s^2+L^2=h^2$ .

Let's make some substitutions from above:

$s^2+(7+s)^2=(1+2s)^2$

Let's expand the powers using:

$(a+b)^2=a^2+2ab+b^2$

Applying this now:

$s^2+(49+2(7)s+s^2)=(1+2(1)(2s)+(2s)^2)$

$s^2+49+14s+s^2=1+4s+4s^2$

Combine like terms on right hand side:

$2s^2+49+14s=1+4s+4s^2$

Subtract everything on left hand side to get 0 on that side:

$0=(1-49)+(4s-14s)+(4s^2-2s^2)$

Simplify:

$0=(-48)+(-10s)+(2s^2)$

Reorder into standard form for a quadratic:

$0=2s^2-10s-48$

Every term is even and therefore divisible by 2. I will divide both sides by 2:

$0=s^2-5s-24$

I'm going to see if this is factoroable.

We need to see if we can come up with two numbers that multiply -24 and add up to be -5.

Those numbers are -8 and 3.

So the factored form is:

$0=(s-8)(s+3)$

This implies that either $s-8=0$ os $s+3=0$ .

The first equation can be solved by adding 8 on both sides: $s=8$ .

The second equation can be solved by subtracting 3 on both sides: $s=-3$ .

The only solution that makes sense for $s$ is 8 since it can't the shorter length cannot be a negative number.

$s=8$

$L=7+s=7+8=15$

$h=1+2s=1+2(8)=1+16=17$

So the dimensions of the right triangle are:

Shorter leg: 8 units

Longer leg: 15 units

Hypotenuse: 17 units

6 0

4 years ago

day care center has 7 teacher for their after school program.currently 42 students are enrolled for a after school care at the s

DerKrebs [107]

Divide 7 into 42 your answer would be 6 then add 7 and get '13 $7 divide 42 equals 6 plus 7 equals '13$

5 0

3 years ago

1. Find f(x) if it is known that f(x+5)=x+12.

uranmaximum [27]

Answer:

1. f(x)=x+7

2. f(x)=1.2x

Step-by-step explanation:

1. If f(x+5)=x+12, then substitute

$t=x+5\Rightarrow x=t-5$

Hence,

$f(t)=(t-5)+12\\ \\f(t)=t+7$

Now change t into x:

$f(x)=x+7$

2. If f(x-5)=1.2x-6, then substitute

$t=x-5\Rightarrow x=t+5$

Hence,

$f(t)=1.2(t+5)-6\\ \\f(t)=1.2t+6-6\\ \\f(t)=1.2t$

Now change t into x:

$f(x)=1.2x$

7 0

4 years ago

What is the surface area of a right rectangular prism whose dimensions are 3 feet by 6 feet by 8 feet?

Crank

The surface area is 132in^2

5 0

3 years ago

Can some one please help me with some math questions

Sever21 [200]

Which questions do you need help with ?

5 0

3 years ago

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