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3 years ago

If w = 10 units, x= 5 units, and y= 6 units, what is the surface area of the figure?

Mathematics

1 answer:

qwelly [4]3 years ago

4 0

Answer:

456.2 units²

Step-by-step explanation:

The area of the square base is ...

base area = w² = (10 units)² = 100 units²

The lateral area is 4 times the area of one rectangular face:

lateral area = 4wx = 4(10 units)(5 units) = 200 units²

The area of one triangular face is half the product of its base length (w) and its slant height (h). The latter is found using the Pythagorean theorem:

h² = y² +(w/2)² = (6 units)² +((10 units)/2)² = 61 units²

h = √61 units

So, the area of 4 triangles is ...

area of triangular faces = 4(1/2)wh = 2(10 units)(√61 units) ≈ 156.2 units²

Now we have the areas of the parts, so we can add them together to get the total surface area:

surface area = base area + lateral area + area of triangular faces

= 100 units² + 200 units² + 156.2 units²

surface area = 456.2 units²

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3 years ago

Find a ⋅ b. a = <5, 2>, b = <4, 5>

cestrela7 [59]

Answer:

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

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Substituting the given information, you have ...

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3 years ago

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3 years ago

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore. Suppose that a storm is in progress wit

shtirl [24]

Answer:

The alternate hypothesis is:

$H_{a} < 16$

Step-by-step explanation:

There are two types of hypothesis. The null hypothesis and the alternate hypothesis. The null hypothesis is that the mean found is equal to the expected value. The alternate hypothesis is a question about this expected value(different, more, less)

A severe storm has an average peak wave height of 16.4 feet for waves hitting the shore.

This means that the null hypothesis is $H_{0} = 16.4$

Let us say that we want to set up a statistical test to see if the wave action (i.e., height) is dying down. If you wanted to test the hypothesis that the waves are dying down, what would you use for the alternate hypothesis

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2 years ago

WILL MARK BRAINIEST!!1 PLZ HELP!25 points!!! The coordinate grid shows points A through K. What point is a solution to the syste

marishachu [46]

Answer:

A, C, D and K

Step-by-step explanation:

Inequalities:

y ≤ −2x + 10 and y >1/2x-2

<u>Finding zeros for the first inequality:</u>

x=0 ⇒ y= 10, point (0, 10)
y=0 ⇒ x= 5, point (5, 0)

Locating these 2 points and connecting to get the first line.

Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.

<u>Finding zeros for the second inequality:</u>

x=0 ⇒ y= -2, point (0, -2)
y= 0 ⇒ x= 4, point (4, 0)

Locating these points and connecting to get the second line.

Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.

Now we have the space of intersection of the above inequalities.

So the points in same section are the solution.

They are:

Points A, C, D and K

See attached for explanation

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3 years ago