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4 years ago

If the two rays are perpendicular, what is the value of m?

Mathematics

1 answer:

Alex777 [14]4 years ago

7 0

Answer:

Two lines are perpendicular if they meet at a. If complementary angles are adjacent, their nonadjacent sides are perpendicular rays.

Step-by-step explanation:

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What is the whole of 15% of is 12.

Morgarella [4.7K]

The whole would be 72

4 0

4 years ago

A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the botto

Artemon [7]

Answer:

You need to buy 13 quarts of paint

Step-by-step explanation:

The correct question is

A movable section of stage has the shape of a right triangle. You need to apply 2 coats of paint (Assume you will not paint the bottom of the ramp). The paint covers approximately 80 square feet per quart. How many quarts of paint do you need to buy?

The picture of the question in the attached figure

step 1

we know that

The figure show a triangular prism

The surface area of the triangular prism is given by

$SA=2B+PL-(14)(19.5)$ ----> (the area of the bottom is not included)

where

B is the area of the triangular face

P is the perimeter of the triangular face

L is the length of the prism

we have

$B=\frac{1}{2}(14)(6)=42\ ft^2$

$P=14+6+15.2=35.2\ m$

$L=19.5\ ft$

substitute

$SA=2(42)+35.2(19.5)-(14)(19.5)=497.4\ ft^2$

step 2

You need to apply 2 coats of paint

Multiply the surface area by 2

$497.4(2)=994.8\ ft^2$

step 3

Divide the total square feet by 80 square feet per quart

$994.8/80=12.4\ quarts$

Round up

You need to buy 13 quarts of paint

6 0

3 years ago

A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5

RideAnS [48]

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

6 0

3 years ago

Please l need help with this system of equation. Solve the system by the method of substitution.

tatyana61 [14]

Y = ( 3 / 4 )x - 4 and ( 3 / 2 )x + ( 3 / 4 )y = 16 ;
Then, ( 3 / 2 )x + ( 3 / 4 )[ ( 3 / 4 )x - 4 ] = 16 ;
( 3 / 2 )x + ( 9 / 16 )x - 3 = 16 ;
( 3 / 2 )x + ( 9 / 16 )x = 19 ;
( 24 / 16 )x + ( 9 / 16 )x = 304 / 16 ;
24x + 9x = 304 ;
33x = 304 ;
x = 9.(21);
y = ( 3 / 4 ) × 9.(21) - 4 = 2.90 ;

5 0

3 years ago

graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line

Lera25 [3.4K]

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

-7 = b

3 0

3 years ago