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AlekseyPX
3 years ago
13

Alberto is painting a large triangle on one wall of his bedroom. The base of the triangle is 4 ft, and the height is 8 ft. It ta

kes 0.2 quart of paint to cover 1 square foot. How many quarts of paint does Alberto use?
A. 0.8 qt
B. 1.6 qt
C. 3.2 qt
D. 6.4 qt
Mathematics
2 answers:
UNO [17]3 years ago
7 0

Answer:

Option C. 3.2\ qt

Step-by-step explanation:

Step 1

Find the area of triangle

we know that

The area of a triangle is equal to

A=\frac{1}{2}bh

where

b is the base of triangle

h is the height of triangle

In this problem we have

b=4\ ft

h=8\ ft

substitute in the formula

A=\frac{1}{2}(4)(8)=16\ ft^{2}

Step 2

By proportion

\frac{0.2}{1}\frac{qt}{ft^{2}}=\frac{x}{16}\frac{qt}{ft^{2}}\\ \\x=16*0.2\\ \\x=3.2\ qt

MissTica3 years ago
7 0

Answer:

C 3.2

Step-by-step explanation:

I know because I took the test in K12 and got it right, Have a great life.

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The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

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3 years ago
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Answer:

<A = <B

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Read 2 more answers
PLEASE HELP
posledela
It is A because the sum of E is 0+5=5 which is greater than 4 and X is 5+0=5 which is greater than four
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Step-by-step explanation:

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Step-by-step explanation:

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