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Archy [21]
3 years ago
11

Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?

Mathematics
1 answer:
9966 [12]3 years ago
8 0

Answer:

In 7 years

Step-by-step explanation:

Let

n ----> the number of years

x -----> Kate's age

y ----> Victor's age

we know that

(x+n)=2(y+n)

we have

x=17\\y=17-12=5\\

Victor's age is 5

substitute the given values

(17+n)=2(5+n)

Solve for n

17+n=10+2n

2n-n=17-10

n=7

<u><em>Verify</em></u>

In 7 years

Kate's age is 17+7=24

Victor's age is 5+7=12

24=2(12)

so

Kate is twice as old as Victor

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The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?​
alexandr1967 [171]

Answer:

Volume of cylinder is 6285.71 square units.

Step-by-step explanation:

Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.

r=10 units

⇒ Diameter, d = 20 units

Also given height is twice its radius.

⇒ Height=2(r)=2(10)=20 units

<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>

= 22/7 × 100×20

=22/7 × 2000

= 44000/7

= 6285.71square units.

hence, volume of cylinder is 6285.71 square units.

6 0
2 years ago
Read 2 more answers
I'm really stuck on this math problem. I never learned this in school. Can someone please help me out? Thank you
romanna [79]
Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
d= \sqrt{(x2-x1)^2+(y2-y1)^2}

Pythagorean Theorem:
a^2+b^2=c^2

Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.

I'll work the first one out for you:
 x1   y1     x2  y2  
(3,   2) & (7,   4)

d= \sqrt{(7-3)^2+(4-2)^2}
                           v
d= \sqrt{(4)^2+(2)^2}
                           v
d= \sqrt{(16+4}
                           v
d= \sqrt{20}

There's your answer!

<em>
</em>
<em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>


7 0
3 years ago
I need help with them Please some one help
Aleksandr [31]
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6 0
3 years ago
Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
Natali [406]

Answer: hello your question is incomplete attached below is the complete question

answer :

a)   \int\limits^3_0 {(10-x)-(x+4)} \, dx     ( option D )

b) A =  1/2 (6)(3)   ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

<u>a) Using integration with respect to x </u>

Area =   \int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy         ( note a = 10 )

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hence the best integral from the options attached is option D

\int\limits^3_0 {(10-x)-(x+4)} \, dx

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12  = 9

<u>b) Using Geometry </u>

Area = 1/2 * base * height

        = 1/2 * 6 * 3

        = 9

7 0
3 years ago
What is 1.6 in fraction form?
viva [34]
As an improper fraction, it is \frac{8}{5}. 
5 0
3 years ago
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