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4 years ago

Which layer of the Earth is the thickest?

Mathematics

2 answers:

Masteriza [31]4 years ago

8 0

B. Mantle ..........

DaniilM [7]4 years ago

3 0

Answer:

The mantle

Step-by-step explanation:

The Earth can be divided into four main layers: the solid crust on the outside, the mantle, the outer core and the inner core. Out of them, the mantle is the thickest layer, while the crust is the thinnest layer

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Please help! It’s late! (One question)

SVETLANKA909090 [29]

Answer: Both

Explanation: The triangles all have corresponding congruent angles. We can tell this by finding the third angle of the original problem: 96.

Then you can read each triangle by what it states. Angle A is congruent to the corresponding angles in the other triangles, which are Q and T. Angle B is congruent to the corresponding angles in the other triangles, which are R and U. Angle C is congruent to the corresponding angles in the other triangles, which are S and V.

We know heard similar since they have congruent angle measures in corresponding spots.

3 0

3 years ago

Anyone know how to do #14 and #15?????

IceJOKER [234]

Answer:

He Melanie , use SOH CAH TOA to remember the trig functions

Step-by-step explanation:

for 14 they hyp = 22 and we know one angle of 45°, we also know that the triangle has a right angle or 90° and by inspection we can tell that the other angle is also going to be 45° so we know X and Y will be the same length, is why this is a good observation.

Use one of the trig functions with H in it b/c you know Hyp is 22, so,

SOH = Sin(Θ)= Opp / Hyp

Sin(45) = Opp / 22

Sin(45) * 22 = Opp

$\sqrt{2}$ / 2 * 22 = opp

11* $\sqrt{2}$ = opp is the exact answer, if you would like some decimal places, it's 7.7781 units, both X and Y

for 15 we can use SOH again for the bigger triangle. we know the Hyp is 24 and the angle is 30°

Sin(30) = Opp / 24

Sin(30) *24 = Opp

12 = Opp ( Because I know Sin(30) = 1/2 )

Opp is the upright between the two triangles

Use CAH Cos(Θ) = Adj / Hyp

Cos(30) = Adj / 24

Cos(30) * 24 = Adj

$\sqrt{3}$ /2 *24 =Adj

12 $\sqrt{3}$ = Adj

Z = 12 $\sqrt{3}$ or if you want some decimals 20.7846

Becasue the smaller triangle is also a 45° right triangle we know that the upright and side Y are the same lengths

then

Y = 12

You could use SOH or CAH to find the Hyp but, lets just resort to Pythagoras, and use his formula to find Hyp

Hyp = $\sqrt{12^{2} +12^{2} }$

Hyp = $\sqrt{288}$

hyp = 16.97

X = 16.97

8 0

3 years ago

According to the research, 43% of homes sold in a certain month and year were purchased by first-time buyers. A random sample

vovangra [49]

Answer Do it

Step-by-step explanation 165 divided by 100 =x times 43

4 0

4 years ago

Find the surface area of the triangular prism (above) using its net (below).

hodyreva [135]

This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.

Formula for (Area of Rectangle)= length x width

Formula for (Area of Triangle)= 1/2 base x height

Now, we have the formulas. Let’s get started!

(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.

Triangles~ the base is 6 and the height is 4.

1/2 (6 x 4) = 12

However, there’s two triangles. (of the same size)

12 x 2 = 24

Rectangles 1 and 2~ the length is 5 and the width is 7

5 x 7 = 35

However, there’s two rectangles. (of the same size)

35 x 2 = 70

Rectangle 3~ the length is 6 and the width is 7

6 x 7 = 42

There’s only one of these.

Now we add all the areas of the shapes together!

24 + 70 + 42 = 136

The surface area is 136.

3 0

2 years ago

Read 2 more answers

(Based on Q1 ~ Q3) According to the Bureau of the Census, 18.1% of the U.S. population lives in the Northeast, 21.9% inn the Mid

vekshin1

Answer:

We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

Step-by-step explanation:

The null Hypothesis: Geographical distribution of hotline callers could be the same as the U.S. population distribution

Alternative hypothesis: Geographical distribution of hotline callers could not be the same as the U.S. population distribution

The populations considered are the Midwest, South, Northeast, and west.

The number of categories, k = 4

Number of recent calls = 200

Let the number of estimated parameters that must be estimated, m = 0

The degree of freedom is given by the formula:

df = k - 1-m

df = 4 -1 - 0 = 3

Let the significance level be, α = 5% = 0.05

For α = 0.05, and df = 3,

from the chi square distribution table, the critical value = 7.815

Observed and expected frequencies of calls for each of the region:

Northeast

Observed frequency = 39

It contains 18.1% of the US Population

The probability = 0.181

Expected frequency of call = 0.181 * 200 = 36.2

Midwest

Observed frequency = 55

It contains 21.9% of the US Population

The probability = 0.219

Expected frequency of call = 0.219 * 200 =43.8

South

Observed frequency = 60

It contains 36.7% of the US Population

The probability = 0.367

Expected frequency of call = 0.367 * 200 = 73.4

West

Observed frequency = 46

It contains 23.3% of the US Population

The probability = 0.233

Expected frequency of call = 0.233 * 200 = 46

$x^{2} = \sum \frac{(O_{i} - E_{i}) ^{2} }{E_{i} } , i = 1, 2,.........k$

Where $O_{i} =$ observed frequency

$E_{i} =$ Expected frequency

Calculate the test statistic value, x²

$x^{2} = \frac{(39 - 36.2)^{2} }{36.2} + \frac{(55 - 43.8)^{2} }{43.8} + \frac{(60 - 73.4)^{2} }{73.4} + \frac{(46 - 46.6)^{2} }{46.6}$

$x^{2} = 5.535$

Since the test statistic value, x²= 5.535 is less than the critical value = 7.815, the null hypothesis will not be rejected, i.e. it will be accepted. We can therefore conclude that the geographical distribution of hotline callers could be the same as the U.S population distribution.

7 0

3 years ago