All categories

3 years ago

Here are two similar rectangles.

Mathematics

1 answer:

asambeis [7]3 years ago

7 0

Answer:

$40.32cm^{2}$

Step-by-step explanation

4*1.2=4.8

7*1.2=8.4

8.4*4.8=40.32

You might be interested in

15 is 10 % of what number

Len [333]

15*10=150

15 is 10% of 150

4 0

3 years ago

Whats 855000 in scientific notation?

sineoko [7]

Answer:

8.55x10^5 in scientific notation

8 0

3 years ago

Read 2 more answers

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. At another gym, each month at the g

Galina-37 [17]

Answer: it will take 6 months for both gyms to cost the same.

Step-by-step explanation:

Let m represent the number of months that it will take for the cost of both gyms be the same.

At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is

12 + 20m

At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m

For both costs to be the same, the number of months would be

12 + 20m = 22m

22m - 20m = 12

2m = 12

m = 12/2 = 6

3 0

4 years ago

Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago

Can someone help me with this question?

meriva

Answer:

m = 4

Step-by-step explanation:

$\because ABCD\sim QRST$

$\therefore \frac{10}{m}= \frac{15}{6}$

$\therefore m= \frac{10\times 6}{15}$

$\therefore m= \frac{60}{15}$

$\therefore m=4$

7 0

3 years ago