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3 years ago

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?

1 answer:

4 0

Using the pythagorean theorem (a^2 + b^2 = c^2), this would make the equation 48^2 + b^2 = 80^2 (the hypotenuse must be plugged in as the "c" value).

Once you solve, this becomes 2304 + b^2 = 6400.

Subtract 2304 from 6400 and you get b^2 = 4096.

Take the square root of 4096 and you get b=64.

The answer is 64.

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Lacey has a 20% off coupon for Bed Bath and Beyond She wants to buy a beach towel priced at $15. If she uses her coupon what is

horsena [70]

10% of $15 = 15/10= 1.5
1.5 x 2= 3 = 20%
15-3=12
Therefore the towel will be $12 with a 20% of coupon

8 0

3 years ago

Finals are over, and you are moving back home for the summer. You need to rent a truck to move your possessions from the colleg

rewona [7]

In short you just multiply 0.480.48 by the amount of miles you drive add that to 24.9024.90 and you get you total
for example: if you take the first company if you drive 200 miles per day it will cost you 24.9024.90 with an extra 96.096 wich will add up to 120.99849 in total per day

5 0

3 years ago

Use the properties of exponents to determine the value of aa for the equation:

Phantasy [73]

Answer: a = -2/3

Step-by-step explanation:

Let's start by multiplying both sides by $x$ to simplify:

$4^{1/3} = x^a \times x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x}_{a\ \textrm{times}} \times \,x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x \times x}_{a+1\ \textrm{times}}$

$4^{1/3} = x^{a+1}$

Looking only at the exponents, it seems like $1/3 = a+1$ , so $a = \boxed{-2/3}$ .

5 0

2 years ago

If n+h/5=f+9/9, then n/5=

Ann [662]

------------------------------------------------------------------
Question
------------------------------------------------------------------
$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

------------------------------------------------------------------
Split the fraction on the left
------------------------------------------------------------------
$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

------------------------------------------------------------------
Take away h/5 from both sides
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

------------------------------------------------------------------
Change the denominator to be the same
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

------------------------------------------------------------------
Put it into single fraction
------------------------------------------------------------------
$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

-------------------------------------------------------------------
Rearrange (This step may not be necessary)
------------------------------------------------------------------
$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

3 years ago

Hep asappppppppppppp

schepotkina [342]

Answer:

(6 , -1)

Step-by-step explanation:

2x+ y = 11 ----------------(I)

y = 11 - 2x --------------------(II)

$\frac{1}{2}x - 5y = 8$

Multiply the whole equation by 2

$2*\frac{1}{2}x -2*5y = 2*8$

x - 10y = 16 --------------------(III)

Substitute y = 11- 2x in equation (III)

x - 10(11 - 2x) = 16

x - 110 + 20x = 16

21x - 110 = 16

21x = 16 +110

21x = 126

x = 126/21

x = 6

Plugin x = 6 in equation (II)

y = 11 - 2*6

y = 11 - 12

y = -1

5 0

2 years ago