Which rate convert to a unit rate of 12.50 per hour

Mathematics

1 answer:

Sunny_sXe [5.5K]4 years ago

5 0

Answer: What rate do you mean? Thanks!

'please excuse me for this'

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Find the degrees of all the sides

spayn [35]

You can use the law of Cosines to solve an SSS triangle.

$cos A = \frac{b^2 + c^2 - a^2}{2bc}$
a = 13
b = 21
c = 29
Lets find A first:
$cos A = \frac{b^2 + c^2 - a^2}{2bc}$
$cos A = \frac{21^2 + 29^2 - 13^2}{2(21)(29)}$
$cos A = \frac{441+ 841 - 169}{1218}$
$cos A = \frac{1113}{1218}$
$cos A = \frac{53}{58}$

$A = cos^{-1}(\frac{53}{58}) = 23.96509$

Now lets find B
$cos B = \frac{a^2 + c^2 - b^2}{2ac}$
$cos B = \frac{13^2 + 29^2 - 21^2}{2(13)(29)}$
$cos B = \frac{169 + 841 - 441}{754}$
$cos B = \frac{569}{754}$

$B = cos^{-1}(\frac{569}{754}) = 41.0059$

Since we know A and B we can use
C = 180 - A - B to find C

C = 180 - A - B
C = 180 - 23.96509 - 41.0059
C = 115.0291

A = 23.9650
B = 41.0059
C = 115.0291

Round to nearest tenths.
A = 24.0
B = 41.0
C = 115.0

6 0

4 years ago

Three more than two times a number is three

Lera25 [3.4K]

2x+3=3

I you're looking for x...
2x+3=3
-3 -3
2x=0
/2 /2
x=0

5 0

3 years ago

Read 2 more answers

The area of the base of the oblique pentagonal pyramid is 50 cm2 and the distance from the apex to the center of the pentagon is

kirza4 [7]

Answer:

$\text{Height is }6\sqrt2cm$

$\text{The volume is }100\sqrt2cm^3$

Step-by-step explanation:

Given the area of the base of the oblique pentagonal pyramid is $50 cm^2$ and the distance from the apex to the center of the pentagon is 6 cm. The measure of ∠ACB is 45°.