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3 years ago

Will mark brainli if you give explanation

Mathematics

2 answers:

dmitriy555 [2]3 years ago

5 0

Answer:

960 ft²

Since you are doing volume, your multiplication sentence would look like

Length * Width * Height

Now, if you multiply 10 * 8 * 12, your answer will be 960 ft²

Vanyuwa [196]3 years ago

4 0

Answer:

Answer B is correct.

Step-by-step explanation:

$A=2(wl+hl+hw) \\ =2·(8·10+12·10+12·8) \\ =592 {ft}^{2}$

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The sum of two numbers is 32 One number is 8 more than the other. Identify the system of equations representing this problem

daser333 [38]

Answer:

x + y = 32

x = y + 8

Step-by-step explanation:

Sum of two numbers is 32:

x + y = 32

One number is 8 more than the other:

x = y + 8

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Jeff said that -2 is less than -3 is he correct

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No Jeff is wrong, -2 has a higher value than -3.

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Express the null hypothesis and the alternative hypothesis in symbolic form that would be used for a hypothesis test. A psycholo

deff fn [24]

Answer:

Null Hypothesis

H₀ : P = 3.8

Alternative Hypothesis

H₁: P > 3.8

Step-by-step explanation:

Explanation:-

Null Hypothesis :-

The single statistic, H₀ will be that the sample statistic

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Alternative Hypothesis:

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PLEASE HELP Given: △KLM LM=12, m∠K=60°, m∠M=45° Find: Perimeter of △KLM.

worty [1.4K]

We have to find the perimeter of the triangle KLM.

We have been given that the length of the side LM=12, $m\angleK=60^\circ$ , and $m\angle M= 45^\circ$

Refer the attached image.

In a triangle sum of three angles should be $180^\circ$ .

So,

$m\angle K+m\angle L+m\angle M=180^\circ$

Plugging the values of angle K and angle M, we get:

$60^\circ+m\angle L+45^\circ=180^\circ$

So,

$m\angle L=180^\circ-105^\circ=75^\circ$

Now, that we have the measure of angle L, we will apply sine rule to find the length of the sides KL and KM.

Using the sine law for the triangle KLM, we get:

$\frac{sin K}{LM}=\frac{sin L}{KM}=\frac{sin M}{KL}$

Refer the image. Plugging the value of the sides of the triangle KLM and the angles of the triangle KLM, we get:

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}=\frac{sin 45^\circ}{x}$

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 75^\circ}{y}$

We get the value of 'y'

$y=\frac{sin 75^\circ}{sin 60^\circ} \times 12=\frac{0.9659}{0.866} \times 12=13.38$

So the length of the side KM is 13.38 units.

Now using,

$\frac {sin 60^\circ}{12}=\frac{sin 45^\circ}{x}$

We get the value of 'x'

$x=\frac{sin 45^\circ}{sin 60^\circ} \times 12=\frac{0.707}{0.866} \times 12=9.79$

So the length of the side KL is 9.79 units.

Now, to find the perimeter of the triangle KLM we need to sum up the length of the sides of the triangle KLM.

The perimeter of the triangle KLM $= KL+ LM + KM = 9.79 + 12 + 13.38 = 35.17$ units

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