MATHEMATICS HIGH SCHOOL

A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours? A) 3 houses B) 6 houses C) 9 houses D)

Answers

Answer 1
Answer:

Answer:

The correct option is C. 9 houses could 18 men paint in 6 hours.

Step by step explanation:

Let the number of houses paint by 18 men in 6 hours be x.

One man can paint one house in 12 hours.

The part of house painted by a man in 1 hour is (1)/(12).

The part of house painted by a man in 6 hour is

(6)/(12)=(1)/(2)

The total number of men is 18. Therefore the number of houses painted by 18 men is

x=(1)/(2)* 18=9

Therefore correct option is C. 9 houses could 18 men paint in 6 hours.

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What is the factored form of the polynomial z² − 10z + 25?

Answers

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

What is 100000 in word form

Answers

One hundred thousand, 100,000. Hope this helps.
one hundred thousand

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answers

Answer:

(x+1)^2+(y-2)^2=9

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius :  3 units

We know that the standard form of the circle is given by

(x-h)^2+(y-k)^2=r^2

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

(x+1)^2+(y-2)^2=3^2\n\n(x+1)^2+(y-2)^2=9

Therefore, last option is correct.
Hello,

Answer D

(x+1)²+(y-2)²=9

Verify that 1 + cot2 x = csc2 x is an identity.

Answers

\sin ^( 2 ){ x } +\cos ^( 2 ){ x } =1\n \n \frac { \sin ^( 2 ){ x+\cos ^( 2 ){ x } } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } }

\n \n \frac { \sin ^( 2 ){ x } }{ \sin ^( 2 ){ x } } +\frac { \cos ^( 2 ){ x } }{ \sin ^( 2 ){ x } } =\frac { 1 }{ \sin ^( 2 ){ x } } \n \n 1+\cot ^( 2 ){ x } =\csc ^( 2 ){ x }

Translate the variable expression into a word phrase. k + 8

A.
the sum of a number and eight

B.
the product of a number and eight

C.
the quotient of a number and eight

D.
the difference of a number and eight

Answers

A you are adding 8 and an unknown number

How do you " find, to the nearest tenth of an inch, the diagonal of a square whose perimeter is 28 inches ?"

Answers

Well if the perimeter is 28 inches, each side of the square is 7 inches. 28/4 = 7 because all sides of a square are the same.

If we split the square in half to create 2 triangles we can find the length of the diagonal. The two sides are the bases of 7 inches.

Use the Pythagorean theorem to solve for the hypotenuse or the diagonal.

7^2 + 7^2 = diagonal ^ 2

Therefore, the diagonal equals 9.9 inches.
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