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Mice21 [21]
2 years ago
6

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.

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

<em>a b/c = (ac + b)/c</em>

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]
<span>the number of trees in the garden = x
</span><span>coconut trees = 0.6x
</span><span>mango trees = 0.6x * 0.25 = 0.15x
</span><span>apple trees = 0.15x * 0.2 = 0.03x


0.03x = 1500
x = 1500/0.03
x = 50 000   </span>← <span>the number of trees in the garden.</span>
3 0
3 years ago
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