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3 years ago

What is the area of this triangle?

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

ANSWER

56.1 square inches.

EXPLANATION

The area of this triangle can be calculated using the formula,

$Area = \frac{1}{2} ab \sin( C)$

where a=8in.

b=14.2 in.

and C=99° is the included angle.

We plug in these values to obtain,

$Area = \frac{1}{2} \times 8 \times 14.2 \sin( 99 \degree)$

$Area = 56.1007$

We round to the nearest tenth to get,

56.1 sq. inch

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MATT HAS 20 PINTS OF GREEN PAINT. SHE USES 2/5 OF IT TO PAINT A LANDSCAPE AND 3/10 OF IT WHILE PAINTING A CLOVER. HE DECIDEES TH

Ad libitum [116K]

Answer: 8 pints

Step-by-step explanation: You have to convert all of the fractions into a number that would work with this equation. 2/5 = 4/10 = 8/20.You do the same to the other fraction. 3/10 = 6/20. 8+6 = 14. So far, Matt has used 14 pints of paint. He has 6 pints left but needs to get 14 for the next painting. 14-6 = 8. He will need to get 8 more pints of paint in order to complete his painting.

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3 years ago

What is the solution to this equation pls pls pls<br><br> x(at the power of 2) = 6 + 9x

kati45 [8]

Answer:

The solution to the equation are x = 5.089 and x = -0.589

Step-by-step explanation:

Given:

x(at the power of 2) = 6 + 9x

To Find:

The solution of the equation = ?

Solution:

The given equation can be written as

=> $2x^2 = 6+9x$

=> $2x^2-6 -9x=0$

=> $2x^2-9x-6=0$

Using the quadratic formula,

$x = \frac{-b\pm \sqrt{(b^2 -4ac}}{2a}$

where

a= 2

b = -9

c = -6

Substituting these values,

$x = \frac{-(-9)\pm \sqrt{(-9)^2 -4(2)(-6)}}{2(2)}$

$x = \frac{-(-9)\pm \sqrt{(81) -4(-12)}}{2(2)}$

$x = \frac{-(-9)\pm \sqrt{81+48}}{4}$

$x = \frac{-(-9)\pm \sqrt{129}}{4}$

$x = \frac{-(-9)\pm 11.357}{4}$

$x = \frac{9 \pm 11.357}{4}$

$x = \frac{9 + 11.357}{4}$ $x = \frac{9 - 11.357}{4}$

$x = \frac{20.357}{4}$ $x = \frac{-2.357}{4}$

x =5.089 x = -0.589

6 0

3 years ago

Round 6.512459 to the nearest ten thousandths?

PtichkaEL [24]

$6.512459\\\\Since\ the\ fifth\ place\ (hundred\ thousandths)\ is\ 5\ or\ more\ (it's\ 5),\\the\ fourth\ place\ (ten\ thousandths)\ is\ increased\ by\ 1.\\\\Answer:6.512459\approx6.5125$