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1 year ago

Is the relationship between the 7s in 7742 and the 7s in 7785 different in any way

Mathematics

2 answers:

marysya [2.9K]1 year ago

7 0

No it is not because the sevens are in the same place in both numbers

likoan [24]1 year ago

7 0

No, ther is no difference (random) but if you round 7,785 it would be greater than 7,742
no, both the 77 is in the same place value

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Which of the following statements must be true about this diagram? Check all that apply.

pishuonlain [190]

Answer:

Options (D), (E) and (F) are the correct options.

Step-by-step explanation:

From the figure attached,

1). Angle 4 is the exterior angle of the given triangle having interior angles 1, 2 and 3.

Therefore, by the property of exterior angle,

∠4 = ∠1 + ∠2

2). Since ∠4 = ∠1 + ∠2,

Therefore, ∠4 will be greater than ∠1

Similarly, ∠4 will be greater than ∠2

Therefore, Options (D), (E) and (F) are the correct options.

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1 year ago

The heights of 82 roller coasters have a mean of 285.2 feet and a population standard deviation of 59.3 feet. Find the standardi

taurus [48]

Answer:

0.7673

Step-by-step explanation:

We have the following:

The null and alternative hypothesis is,

H0: m = 290

Ha: m> 290

x = 285.2

m = 290

sd = 59.3

n = 82

is m the mean, sd the standard deviation and n the population size

Now we calculate the value of z like this:

z = (x - m) / sd / (n ^ (1/2))

z = (285.2 - 290) / 59.3 / (82 ^ (1/2))

z = -0.73

now

P (z> -0.73) = 1 - P (z <-0.73)

we look at the normal distribution table

P = 1 - 0.2327 = 0.7673

Therefore the value of p is equal to 0.7673

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1 year ago

A farmer kept 96 kilograms of animal feed in his barn.

lesya692 [45]

Answer:

The amount of animal feed left was 86.4 kilograms.

Step-by-step explanation:

Initial amount of animal feed in the barn was 96 kilograms.

The barn leaked and $\frac{1}{10}$ of the feed was wasted.

So, the amount of feed wasted $=\frac{1}{10}(96)=9.6$ kilograms.

Now, for finding the amount of feed that was left, we need to subtract the amount of wasted feed from the initial amount of feed.

So, the amount of animal feed left $=(96-9.6)\ kilograms=86.4\ kilograms$

4 0

1 year ago

Read 2 more answers

Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the

natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.

In order to triangle JKM be a right triangle $KM^{2}=JK^{2}+JM^{2}$ .

We will find length of side KM using our right triangles JLM and JLK as $KM=KL+LM$ .

Using Pythagorean theorem in triangle JLM we will get,

$LM=\sqrt{JM^{2}-JL^{2}}$

$LM=\sqrt{8^{2}-5^{2}}$

$LM=\sqrt{64-25}$

$LM=\sqrt{39}=6.244997998\approx 6.24$

Now let us find length of side KL.

$KL=\sqrt{JK^{2}-JL^{2}}$

$KL=\sqrt{13^{2}-5^{2}}$

$KL=\sqrt{169-25}$

$KL=\sqrt{144}=12$

Now let us find length of KM by adding lengths of KL and LM.

$KM=12+6.24=18.24$

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

$KM^{2}=JK^{2}+JM^{2}$

$18.24^{2}=13^{2}+8^{2}$

$18.24^{2}=169+64$

$18.24^{2}=233$

Upon taking square root of both sides of equation we will get,

$18.24\neq 15.264337522473748$

$18.2\neq 15.3$

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.

6 0

1 year ago

Read 2 more answers

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor

PilotLPTM [1.2K]

Answer:

The length of one side of the hot tub is 4.8ft

Step-by-step explanation:

Given

Shape: Square

$k = 5$ -- scale factor

$B'C' = 24$

Required

Side length of ABCD (the hot tub)

From the question, we understand that

$ABCD \to D_5 \to A'B'C'D$ ABCD dilated by 5 to A'B'C'D

This implies that:

$BC * 5 = B'C'$ i.e. the sides of ABCD is multiplied by 5 to get A'B'C'D

So, we have:

$BC * 5 = 24$

Divide by 5

$BC = 4.8$

5 0

1 year ago

Read 2 more answers