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kaheart [24]
3 years ago
5

Please someone help me :( ​

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Answer:

A: 16 times

B: 4.5 : 72

C: 12

Step-by-step explanation:

For part A, you multiple the base, which is three, by the height, which is also three. This gives you 9 then you divide that by 2 because it's a triangle. This gives you 4.5 as the area of triangle A. Next you divide 72 by 4.5 which gives you 16. 16 is the answer.

For part B, you just take the area of triangle A and the area of triangle B and put it down as a ratio.

For part C, You take 72 and times it by 2 because in a regular problem you would divide it by 2. This gives you 144. If you look at triangle A, you can see the base and height are the same length. This means the scaled triangle should be the same way. All you have to do is square root 144 which gives you the base and height, 12.

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Consider circle H below.
hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}, where,

r = Radius of circle,

\theta = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}

78=2\cdot 3.14\cdot  r\cdot \frac{7}{36}

78= 3.14\cdot r\cdot \frac{7}{18}

78= r\cdot \frac{21.98}{18}

r\cdot \frac{21.98}{18}=78

r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}

r=63.8762511373

Upon rounding to nearest hundredth, we will get:

r\approx 63.88

Therefore, the radius of circle H is approximately 63.88 miles.

7 0
4 years ago
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gogolik [260]

Answer:

the total amount is £ 756.

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6 0
3 years ago
If the total number of faces on a triangular pyramid is subtracted from the number of faces on a cube, what is the result?
Volgvan

Answer:

So you have 6 faces on a square, correct? And then you have 5 faces on a pyramid (including bottom). S, in how I am seeing it, you divide 6 by 5 to get 1.2. If this is incorrect I am sorry but that is what I see is correct.

Step-by-step explanation:

6/5=1.2

3 0
4 years ago
Read 2 more answers
In an experiment to measure the lifetimes of parts manufactured from a certain aluminum alloy, 73 parts were loaded cyclically u
kari74 [83]

Answer:

0.0094.

Step-by-step explanation:

For the given experiment, let X be the lifetimes of parts manufactured from a certain aluminum alloy.

sample size =73

Sample mean = 784

Sample standard deviation = 120

Let µ represent the mean number of kilocycles to failure for parts of this type.

Null hypothesis, H0 : µ ≤ 750

Alternative hypothesis, H1 : µ > 750.

z=\dfrac{\overline{X}-\mu}{\frac{s}{\sqrt{n}}}

where,

\overline{X} is sample mean.

\mu is population mean.

s is sample standard deviation.

n is the sample size.

z=\dfrac{783-750}{\frac{120}{\sqrt{73}}}

z=2.35

It is a right tailed test because alternative hypothesis is µ > 750. So, P-value is the probability of observing a sample mean greater that 783 or the probability of P(z>2.35).

P=P(z>2.35)

P=1-P(z

P=1-0.9906

P=0.0094

Therefore the P-value is 0.0094.

5 0
3 years ago
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes.
Natali5045456 [20]

part a is 14.4 and part b is 24 because you have to put 40% in a decimal and multiply it by how many muffins the baker made each day.

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