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rodikova [14]
3 years ago
9

This semicircle has a diameter of 5 meters.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0
Area of semicircle is given by:
A_sc =  \frac{1}{2} \pi r^2

r is the radius, and we are given the diameter. Radius is half the diameter, so it's 2.5m. Let's plug that into the formula (using 3.14 as an estimation for pi):
A_t =  \frac{1}{2}(3.14)(2.5)^2 = 9.81m^2

So, the area of this semicircle is 9.81m².
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Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.
zaharov [31]

The distance from the center of dilation, P, to.the image vertice S' is; 6 units.

<h3>What is the distance from the center of dilation, P, to the image S'?</h3>

It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.

Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.

Read more on dilation;

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5 0
2 years ago
Evaluate 15r -1 when r=5
alukav5142 [94]

Answer:

74

Step-by-step explanation:

You just have to substitute r with 5.

Now, the equation looks like this:

15(5)-1

Next, solve 15*5 first according to PEMDAS

And 15*5 equals 75

\frac{\left[\begin{array}{ccc}1&5\\5\\\end{array}\right] }{75}

Lastly, do 75-1 which equals 74

\frac{\left[\begin{array}{ccc}7&5\\-1\\\end{array}\right] }{74}

Therefore, 74 is your answer.

3 0
3 years ago
Mr. Hamilton surveyed his class to find the total number of hours each of his students slept the previous night. The histogram s
grigory [225]

Answer:

6 more students

Step-by-step explanation:

hope this helps

8 0
3 years ago
The cost of Samantha's 15th birthday party depends on the number guest. The hall charges $250 for the use of the hall plus $12 p
Scorpion4ik [409]

Answer:

Equation: y=x(12)+250

Total cost: $550

3 0
3 years ago
Let a be a real number and n a positive integer . show that x-a is a factor of x^n- a^n
nikklg [1K]

Answer:

steps below

Step-by-step explanation:

x-a=0

x=a   plug in xⁿ - aⁿ

xⁿ - aⁿ = aⁿ - aⁿ = 0

(x-a) must be a factor of xⁿ - aⁿ

6 0
3 years ago
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