The triangles shown below must be congruent

Find the distance travelled by Rama if she takes two rounds of a rectangular park whose length is 8 km and breadth is 12 km.

harkovskaia [24]

Answer:

80 km

Step-by-step explanation:

First, find the perimeter of the park.

2(12 + 8) = 2(20) = 40 km

Since Rama travels around the park twice, multiply the perimeter by 2.

40(2) = 80 km

8 0

3 years ago

Read 2 more answers

What is the net change in the temperature relative to when lko woke up

DedPeter [7]

Complete question:

Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.

What is the net change in the temperature relative to when lko woke up?

Answer:

The net change in the temperature relative to when lko woke up =

$\bold{-3}$ °

Step-by-step explanation:

Given that between his wake up time and lunch time, temperature rose by 11°. Let the new temperature be $\bold{T1}$ and let the initial temperature(temperature before wakeup time) be $\bold{T}$

Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.

i.e, T1 = T + 11......................(1)

At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:

T1 + (-14).......................... (2)

Let's substitute T + 11 for T1 in equation 2, we have:

T + 11 + (-14)

To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,

ΔT = (T + 11 - 14) - T

Solving further, we have:

ΔT = T - T + 11 - 14

ΔT = 11 - 14

ΔT = -3°

Therefore, the net change in the temperature relative to when lko woke up is = -3°

5 0

3 years ago

A set of data is summarized by the stem and leaf plot below.

Andre45 [30]

Answer:

30 values ; greater than or equal to 10 and less Than or equal to 39

Step-by-step explanation:

Counting the number of leaves in the plot, we have 30 leaf values. This gives the number of dataset.

The minimum value is the number created by the combination of the least stem value and the lowest leaf value, which is 10

The maximum value is obtained from the combination of the highest stem and leaf value. The highest value is 39

8 0

3 years ago

Factor a number, variable, or expression out of the polynomial shown below. <br><br> 20x3 + 15x

vekshin1

20x^3 + 15x....factoring out 5x
5x(4x^2 + 3)

4 0

3 years ago

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5

stich3 [128]

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

3 0

3 years ago