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shutvik [7]
4 years ago
5

Nancy and Matilda are 60 miles apart, cycling towards each other on the same road. Matilda rides 12 miles per hour and Nancy rid

es 8 miles per hour. In how many hours will they meet?
Mathematics
1 answer:
dedylja [7]4 years ago
5 0

Nancy and Matilda will meet in 3 hours.

Step-by-step explanation:

Given,

Distance to cover = 60 miles

Speed of Matilda = 12 miles per hour

Speed of Nancy = 8 miles per hour

Combined speed of Nancy and Matilda = 8+12 = 20 miles per hour

Let,

x be the time taken by them

Distance = Speed * Time

60=20*x\\60=20x\\20x=60

Dividing both sides by 20

\frac{20x}{20}=\frac{60}{20}\\x=3

Nancy and Matilda will meet in 3 hours.

Keywords: distance, speed

Learn more about distance at:

  • brainly.com/question/11007572
  • brainly.com/question/11015995

#LearnwithBrainly

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40 points volume math pls answer clue ty it’s kinda long
EastWind [94]

Answer: (Going down from first column to second column)

1. 10,000

2. 7

3. 35

4. 16

5. 4

6. 828.75

7. 24

8. 14

9. 27

10. 378

11. 6,600

12. 90

Step-by-step explanation:

1. 25x10x40

2. 15x10.5x20 then divide the answer by 450

3. Same method as above

4. Multiple the Length and the Width, then divide that from the volume

5. Take 64 and cubic root it

6. Multiple them all together

7. Same thing as 6

8. Same as number 4

9. Take 3 and cubic it. Aka multiple it three times

10. Idk this one sorry.

11. Multiple it all together

12. Multiple 2,4,5 for 40 and take that number and divide it from the volume

Really hope this help you out! Took me a little bit to solve this.

6 0
3 years ago
The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol
Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is \frac{7}{10}

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is \frac{343}{1,000}

Part c) The volume of the smaller pyramid is 4,116\ m^{3}

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

so

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid  

z=\frac{x}{y}

substitute the values

z=\frac{21}{30}

Simplify

z=\frac{7}{10} -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

substitute

\frac{7}{10}^{3}=\frac{x}{y}

Rewrite

\frac{x}{y}=\frac{343}{1,000} -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

so

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid  

z^{3}=\frac{x}{y}

we have

z=\frac{7}{10}

y=12,000\ m^{3}

substitute the values and solve for x

(\frac{7}{10})^{3}=\frac{x}{12,000}

x=\frac{343}{1,000}(12,000)=4,116\ m^{3}

8 0
3 years ago
I hate angles so much.Is anyone good at it? Will give brainlest and points to whoever have best explanation​
balandron [24]

Answer:

x = 5

Step-by-step explanation:

To break this down, I'll start from the first thing the question gives you. Triangle ACB is congruent to triangle DCE. This means that the angles and the sides of each triangle is the same. Now this next part is important. The way in which the letters are ordered is corresponds to what angles are the same. Since the triangles are congruent, ∠A in ΔACB would correspond to ∠D in DCE. Another example: ∠C in ACB is congruent to ∠C in ΔDCE. So if ∠A is congruent, or the same as ∠D, this means ∠D is 50°. Now, we just solve for x:

∠D = 10x

50° = 10x

Divide each side by 10 to isolate x:

50/10 = 10x/10

x = 5

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3 years ago
I need this for a test
Cerrena [4.2K]

Answer:

x=16

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical.

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Consider the functions graphed below.
Reptile [31]

Answer:

it's A

Step-by-step explanation:

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