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Maksim231197 [3]
3 years ago
8

Rewrite the fraction in the sentence below as a percentage. From 125 yards away, a marksman hit 14/25 of the targets last year.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
5 0

the fraction is 14/25

 divide 14 by 25

14/25 = 0.56

0.56 = 56%

so he hit 56% of the targets

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
Sedbober [7]

Answer:

The equation of the circle is (x + -5)² + (y + 4)² = 100

Step-by-step explanation:

* Lets revise the standard form of the equation of the circle

- If the center of the circle is point (h , k) and the length of its radius is r,

 then the equation of the circle is (x - h)² + (y - k)² = r² in standard form

* Now lets solve the problem

- The center of the circle is point (5 , -4)

∴ h = 5 and k = -4

∴ The equation of the circle is (x - 5)² + (y - -4)² = r²

∴ The equation of the circle is (x - 5)² + (y + 4)² = r²

- The circle passes through the point (-3 , 2)

- To find r substitute the x-coordinate and the y-coordinate of the

  point in the equation of the circle

∵ Point (-3 , 2) is on the circle

∴ x = -3 and y = 2

∴ (-3 - 5)² + (2 + 4)² = r² ⇒ simplify it

∴ (-8)² + (6)² = r² ⇒ solve power 2

∴ 64 + 36 = r² ⇒ add the like terms

∴ 100 = r²

∵ The equation of the circle is (x - 5)² + (y + 4)² = r²

∴ The equation of the circle is (x - 5)² + (y + 4)² = 100

- To complete the form

∴ The equation of the circle is (x + -5)² + (y + 4)² = 100

8 0
3 years ago
If f(x)=cosx, then f(x+ pi/2) is equal to
weqwewe [10]
The answer must be - cospi/2 which is not available in the option
8 0
3 years ago
Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
nika2105 [10]

The number of  ways that he can make the fruit salad if it must contain watermelon is 35.

<h3>What is Permutation and combination?</h3>

Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.

The salad contains water melon, now we have to select 4 more fruits out of 7.

Using combination

^{n{C}_r = n! / r! (n-r)!

^{7}C_4 = 7!/ 4! (7-4)!

      = 7*6*5*4! / 4! * 3*2

      = 35

Hence,  number of ways that he can make the fruit salad if it must contain watermelon is 35.

Learn more about Permutation and combination here:

brainly.com/question/11732255

#SPJ1

3 0
1 year ago
Sum of one-half of a number and 4 is -16. find the number
Lady_Fox [76]
X is the number
sum means add

sum of half a number and 4 means
(x/2)+4
result is -16

(x/2)+4=-16
minus 4 both sides
x/2=-20
times 2 both sides
x=-40
the number is -40
5 0
3 years ago
A circular swimming pool has a diameter of the 26 feet.
kherson [118]
Hey there! :)

The formula for finding area of circles is: π · r²

<em>Remember that radius is half the diameter. To find radius when the diameter is given, divide by 2</em>

d = 26

26 ÷ 2 = 13
_____________________________________________________________

π · r²

r = 13
13² = 13 × 13 = 169

169 × 3.14 = 530.66 = 530.7

The area of the swimming pool is 530.7 ft²

Hope this helps :)
7 0
3 years ago
Read 2 more answers
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