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3 years ago

11. Find the coordinates of A' and B'if A (3,5) and B (-7, 3) undergo

Mathematics

1 answer:

NISA [10]3 years ago

4 0

<h2>Answer: $(-3,-5),(7,-3)$ </h2>

Step-by-step explanation:

If a point $(x,y)$ gets reflected about origin,the new point formed after reflection is $(-x,-y)$ .

Given that $A=(3,5)$ ,

So, $A'=(-3,-5)$

Given that $B=(-7,3)$ ,

So, $B'=(-(-7),-3)$ $=(7,-3)$

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon

Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

$h(t)=-16t^2+40t+5$

we know that

When the ball hits the ground, the height is equal to zero

$-16t^2+40t+5=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$

is equal to

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

in this problem we have

$-16t^2+40t+5=0$

$a=-16\\b=40\\c=5$

substitute in the formula

$t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}$

$t=\frac{-40\pm\sqrt{1,920}} {-32}$

$t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec$

$t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec$

therefore

The solution is t=2.62 seconds

4 0

3 years ago

What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?

Art [367]

Answer:

C. 672

Step-by-step explanation:

7 0

2 years ago

Aisha wants to paint the four walls of her living room.

sergiy2304 [10]

The total amount Aisha would pay to paint her room is $54.

<h3>What is the cost of painting the rooms?</h3>

The first step is to determine the area of the walls. The walls have the shape of a rectangle. Thus, the formula for the area of a rectangle would be used to determine the area of the wall.

Area of the three walls without a door : 3 x (length x width)

3 x (2.4 x 5.2) = 37.44 m²

Area of the fourth wall with a door : area of the wall - area of the door

(2.4 x 5.2) - (2 x 0.8) = 10.88m²

Total area of the walls : area of the three walls + area of the wall with the door

10.88m² + 37.44 m² = 48.32 m²

The next step is to determine the number of tins that would be needed:

48.32 /12 = 4.03

5 tins would needed

Cost of the 5 tins: (4 x 12) + (0.5 x 12) = $54

To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

#SPJ1

3 0

2 years ago

Brian invests £1300 into his bank account.

raketka [301]

Answer:

£1690

Step-by-step explanation:

Amount invested by Brian = £1300

rate of simple interest = 10%

To find money Brian will have after three years

He will have amount invested in bank and interest earned in three years from that amount.

Simple interest for any principal amount p is given by

SI = P*R * T /100

where SI is simple interest earned

T is time period for which simple interest is earned

R is rate of interest

Substituting value of P , R and T we have

SI = 1300*10* 3 /100 = 390

Therefor interest earned will be £390

Total money with Brian after three years = principal amount invested + interest earned in 3 years

= £1300 + £390 = £1690

3 0

3 years ago

Sean is stacking cans of beans of the market. His shelf is 10 inches tall, 10 inches deep, and 50 inches wide. The cans are 3 in

N76 [4]

Basically you get the volume first:

10 times 10 times 50

Which is 5,000

And we're given the cans volume already:

9.42

So what we do now is divided the area by the cans for our answer:

5,000/9.42

Which is 530.785563

So Sean can stack 530 cans of beans in his shelf.

(when rounding is is 531 cans)

6 0

3 years ago