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Lesechka [4]
3 years ago
11

What is the value of B ?

Mathematics
2 answers:
Virty [35]3 years ago
8 0

Answer: 70.1

Step-by-step explanation:

Kruka [31]3 years ago
4 0
The answer is 70.1 !!
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Which is equivalent to tan θ?
Aloiza [94]

That which is equivalent to tanθ is A sinθ/cosθ

To answer the question, we need to know what tanθ is

<h3>What is tanθ?</h3>

Tanθ is a trigonometric identity which is the tangent of the angle .

Now, from the unit circle, with radius, r = 1, we have that tanθ = y/x.

Also, the sine of the angle θ is sinθ = x/1 = x

And also, the cosine of the angle θ is cosθ = y/1 = y

Since we have that

  • tanθ = y/x,
  • sinθ = x and
  • cosθ = y

Substituting the values of the variables y and x into tanθ, we have

tanθ = y/x

tanθ = sinθ/cosθ

So, that which is equivalent to tanθ is A sinθ/cosθ

Learn more about tanθ here:

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5 0
2 years ago
A triangular prism has an equilateral base with side length x inches. The height of the prism is four times as long as the side
crimeas [40]

The area of the prism is 12x² inches². Thus, the correct option is B.

<h3>What is a triangular prism?</h3>

Suppose you've got a triangle. Now, stretch it up so as to make a stack of triangles up above another. This new 3d object is called a triangular prism.

Usually, when we talk about a triangular prism, we talk about the triangular prism, whose stack goes straight up, thus, we talk about a right triangular prism.

For a prism, the lateral sides of a prism are made up of rectangles which consist of the height and the length of the base. Therefore, a triangular prism has an equilateral base with a side length x inches. The height of the prism is four times as long as the side length. The lateral area will be,

Lateral Area = 3(x×4x) = 12x² inches²

Hence, the area of the prism is 12x² inches². Thus, the correct option is B.

Learn more about the Lateral surface area of triangular prisms:

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5 0
2 years ago
Lisa's test grades are 79, 89, and 90. there will be one more test this year. if lisa wants her test average to be at least 88,
erik [133]
For this case, what we are going to do first is to assume that all the exams are worth the same percentage of the final grade.
 We have then that Lisa's average grade point equation is:
 88 =  \frac{79 + 89 + 90 + x}{4}
 Where,
 x: minimum note that lisa must obtain in the last exam.
 Clearing x we have:
 x = (88 * 4) - (79 + 89 + 90)&#10;&#10;x = 94
 Answer:
 
the lowest grade she can get on her last test is:
 
x = 94
5 0
4 years ago
There are 80 dogs and cats in the animal shelter. The ratio of dogs to cats is 5/11. How many of the animals are dogs
Dima020 [189]

Answer:

25 dogs and 55 cats

Step-by-step explanation:

5/11 ratio, first add those up which you get 16

Then divide the total amount of animals by the ratio-80

80/16 = 5

(5*5)/(11*5)

25 dogs and 55 cats

4 0
3 years ago
Distance between 2,-5 and 3,-7
joja [24]

Answer:

√5

Step-by-step explanation:

(2 ,-5) = (x_1,y_1)\\(3,-7)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(3-2)^2 +(-7-(-5))^2}\\ \\d = \sqrt{(1)^2+(-7+5)^2}\\ \\d = \sqrt{(1)^2 + (-2)^2}\\ \\d = \sqrt{1 +4}\\ \\d = \sqrt{5}

4 0
3 years ago
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