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Musya8 [376]
3 years ago
12

What is the image of ( 4, -8 ) after a dilation by a scale factor of 1/4 centered at the origin ?

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

what we know?:

* scale factor of 1/4

* the point (4, -8)

all we have to do is put 4/4 (because we are dilating by 1/4)

4/4= 1

same for the other one: -8/4= -2

FINAL ANSWER: (1, -2)

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Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy
kozerog [31]
Sammy's mother is 32 and Sammy is 10.
6 0
3 years ago
Plz help me I've been dealing with this for 4 days. ​
Sloan [31]

Step-by-step explanation:

(qvp)5=4-5=54643434346

3 0
3 years ago
Jack bought a set of golf clubs for $250 and received a discount of $20 how much was the discount
Airida [17]

percent discount = (discount)/ original * 100

                             = (20)/250 * 100

                            =.08*100

                            = 8 percent

He got an 8 percent discount

                           

7 0
4 years ago
Please help me out please please !!!!!
Sauron [17]

The surface area of a sphere is given by

S = 4\pi r^2

We deduce

r = \sqrt{\dfrac{S}{4\pi}}

So, in your case, the radius is

r = \sqrt{\dfrac{100\pi}{4\pi}}=\sqrt{25}=5

The volume of a sphere is given by

V=\dfrac{4}{3}\pi r^3

So, we have

V = \dfrac{4}{3} \pi 5^3 = \dfrac{500}{3}\pi

5 0
3 years ago
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