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yawa3891 [41]
3 years ago
5

Find the volume of the prism.

Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0

Answer:

168 units^3

Step-by-step explanation:

The volume of triangular prism is calculated like this : 1/2 × b×h×l (b: base, h: height, l: length)

1/2 × 7 × 6 × 8 = 168 units^3

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There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value
uranmaximum [27]
Remark
The point value is (-2,5) So we know the two sides. We need the hypotenuse. We should notice that the x value is minus (-2) and value is y value is plus (5). That means we are in quad 2. Be careful how you read that. (-2,5) is a point. It is not a tangent.

Step One 
Find the hypotenuse.

a = - 2
b = 5
c =  ??

c^2 = a^2 + b^2
c^2 = (-2)^2 + 5^2
c^2 = 4 + 25
c^2 = 29               Take the square root of both sides.
sqrt(c^2) = sqrt(29)
c = sqrt(29)

Step Two
Find the Cosine of the angle.
Cosine(theta) = adjacent / hypotenuse
Cosine(theta) = -2 / sqrt(29)  <<<<<<< Answer

Again, watch out for what you are given.
6 0
3 years ago
Write the equation of the line passing through the points (−1, 2) and (3, 4)
lina2011 [118]

Answer:

2/4

Step-by-step explanation:

Using a graph, you would start at (-1,2). Next you would move up twice. Then you would move 4 lines to the right. You'll land on (3,4)

6 0
4 years ago
The function f(x) = x2. The graph of g(x) is f(x) translated to the right 3 units and down 3 units. What is the function rule fo
Kaylis [27]

The rule for g(x) is: f(x) = (x-3)^2-3

Step-by-step explanation:

Given function is:

f(x) = x^2

When a function f(x) is shifted right or left, b units the new function is written as:

f(x) = x

Shifting right

g(x) = f(x-b)

Shifting left

g(x) = f(x+b)

Similarly, when shifting up or down

g(x) = f(x)+b => Up\\g(x) = f(x) - b => Down

As our given function is shifted 3 units to the right, it will be written as:

f(x) = (x-3)^2

The function is when moved down 3 units, then

f(x) = (x-3)^2-3

Hence

The rule for g(x) is: f(x) = (x-3)^2-3

Keywords: Function transformation, Functions

Learn more about functions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

5 0
4 years ago
A seller buys an item from a manufacturer for $100 and sells it to a customer for $120. Which of these terms describes this extr
exis [7]
Markup, for profit!
The cost is 100, without markup.
The price is how much it's on sail for (120)

I personally worked in a groceries store for 2 years.
5 0
3 years ago
Read 2 more answers
25m/s to miles/h <br>Can anyone solve it?<br>With explanation if you can
Dimas [21]

25 meters per second x 60 seconds = 1500 meters per minute

1500 meters per minute x 60 minutes per hour = 90,000 meters per hour

1 mile = 1609.34 meters

90000/1609.34 = 55.92 miles per hour

 round answer to either 55.9 or 56 mph depending on what you need.

6 0
3 years ago
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