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2 years ago

Find the value of x in the triangle shown below.

Mathematics

1 answer:

oee [108]2 years ago

8 0

Answer: x = 5

Step-by-step explanation:

Use Pythagorean's Theorem

$a^2+b^2=c^2\\12^2+x^2=13^2\\144+x^2=169\\x^2=25\\x=5$

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a box in the shapr of s rectangular prism has a length of 3 5/8 inches, a width of 2 1/2 inches and a height of 4 inches. what i

Sergeeva-Olga [200]

Answer:

V = 36 1/4 in.^3

Step-by-step explanation:

V = LWH

L = 3 5/8 in.

W = 2 1/2 in.

H = 4 in.

V = (3 5/8)(2 1/2)(4) in.^3

Change the mixed numerals to fractions.

To change the mixed numeral a b/c to a fraction, do this:

a b/c = (ac + b)/c

V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1

V = (24 + 5)/8 * (4 + 1)/2 * 4/1

V = 29/8 * 5/2 * 4/1 in.^3

V = 580/16 in.^3

V = 145/4 in.^3

V = 36 1/4 in.^3

4 0

3 years ago

The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate

ella [17]

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$$A=P\left(1+\frac{r}{n}\right)^{n t}$

where A is the final amount

$$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}$

$$A=195000\left(1+\frac{4.3}{100}\right)^{30}$

$$A=195000\left(\frac{100+4.3}{100}\right)^{30}$

$$A=195000\left(\frac{104.3}{100}\right)^{30}$

A = 689546.99

Interest = Amount - Principal

= 689546.99 - 195000

= 494546.99

Interest paid after 30 years is $494,546.99.

6 0

3 years ago

Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of pai

Deffense [45]

Answer:

$1 \dfrac{1}{4} \ liters$

Step-by-step explanation:

Given that:

Claire uses 2 liters of paint to cover 1 3/5 doors

Then in order for her to paint 1 door, She will need:

2 L = 1 3/5 door

x L = 1 door

$x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}$

$x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }$

$x (L) = \dfrac{2 L }{ \dfrac{8}{5} }$

$x (L) = \dfrac{2 L\times 5 }{ 8 }$

$x (L) = \dfrac{10 \ L }{ 8 }$

$x(L) =1 \dfrac{1}{4} \ L$

4 0

2 years ago

Patty is baking for the holidays. 3/5of her treats are cookies and 1/6of her treats are cupcakes. The rest are brownies. What fr

BartSMP [9]

So the answer would be 7/30 because 3/5 + 1/6 = 23/30 and you add 7 to that and get 30 well that’s what I believe hope this helped

7 0

3 years ago

In a big garden 60% of the trees are coconut trees,25%of the number of coconut trees are mango trees and 20% of the number ofof

AVprozaik [17]

the number of trees in the garden = x
coconut trees = 0.6x
mango trees = 0.6x * 0.25 = 0.15x
apple trees = 0.15x * 0.2 = 0.03x

0.03x = 1500
x = 1500/0.03
x = 50 000 ← the number of trees in the garden.

3 0

3 years ago