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3 years ago

14

What’s the answer to this?

1 answer:

snow_lady [41]3 years ago

5 0

Answer:=26.43

Step-by-step explanation:

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

Serhud [2]

Start by calling the shortest side $s$ . We then know that the longer leg (call it $l$ ) is 7 feet longer i.e. $l=s+7$ . We also know that the hypotenuse, $h$ is 1 foot more than twice the short leg i.e. $h=2s+1$ . We now have 3 unknowns but only 2 equations to solve them. Luckily we know this is a right triangle so we can use the Pythagorean Theorem as our third equation:
$a^{2}+b^{2}=c^{2}$
Substituting known values:
$s^{2}+(s+7)^{2}=(2s+1)^{2}$
This is now an equation in one variable and can be solved algebraically for $s$ . Back-substitution can then be used for the other sides.

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3 years ago

Find the surface area of the figure?

lina2011 [118]

Answer:

30 cm

Step-by-step explanation:

The Height is 6 and Width is 5

Area = H x W so:

6 x 5 = 30 or surface area

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3 years ago

The radius of a circle with an area of 8 cm2 will be enlarged by a scale factor of 4.

GarryVolchara [31]

Answer:

I believe the answer is 32 because you multiply it in enlarging.

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3 years ago

Fredo deposits $75 each year in an account earning 3% interest compounded annually. If he deposits an additional $75 per year an

Reika [66]

2.25 will be added into the account of the total of the money

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4 years ago

What is the EQUATION of the line PERPENDICULAR to y=-2x+5 and passing through the point (0,2)?

KonstantinChe [14]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is ~

$\boxed{ \sf{y = \frac{x}{2} + 2 }}$

$\large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}$

Let's find the slope of given line ~

$y = - 2x + 5$

comparing it with general slope - intercept form of line (y = mx + c) we get, m = -2 (that is slope of the line)

let the slope of the required line be n

And, now since the required line Is perpendicular to the given line. the product of their slopes is -1

that is ~

$- 2 \times n = - 1$

$n = \dfrac{ - 1}{ - 2}$

$n = \dfrac{1}{2}$

slope of required line is ~ 1/2

now, let's use the point - slope form of line to find the equation of required (perpendicular) line (using point (0 , 2) ~

that is ~

$y - y_1 = m(x - x_ 1)$

here, m = slope ~

$y - 2 = \dfrac{1}{2} (x - 0)$

$y - 2 = \dfrac{x}{2}$

$y = \dfrac{x}{2} + 2$

I hope it helps ~

4 0

3 years ago