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ankoles [38]
3 years ago
15

Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3

Mathematics
1 answer:
fgiga [73]3 years ago
4 0

Answer:

  33

Step-by-step explanation:

3 years ago, the difference in ages was twice Daniel's age. So, Daniel was 20/2 = 10 years old at that time. Ben was 30.

Now, Ben is 33.

_____

If two numbers have a ratio of 3:1, their difference is (3-1) = 2 times the smaller number.

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30-60-90 special right triangles
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So so the sides are x, x√3, 2x

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6 0
3 years ago
A number r is no less than −1.5 and fewer than 9.5
Katyanochek1 [597]
-1.5 ≤ r < 9.5hope it helped
5 0
3 years ago
Read 2 more answers
Wha is the area of this
Korvikt [17]

Octagon, stop sign.

Eight isoscles triangles.   It looks like we're told the side is 9.9 and the height to the side (also called the apothem) is 12.

So each isosceles triangle has area  (1/2)(9.9)(12) and we have eight of them,

area = 8(1/2)(9.9)(12) = 475.2

Answer: 475.2

Usually we wouldn't be told 9.9 -- this is the baby version.  We know each of those isoscles triangles has unique angle 360/8=45 degrees, so the apothem and half the side of the octagon are a right triangle with acute angle 22.5 degrees.

The area of the right triangle with long leg 12, short leg x,

tan 22.5 = x/12 or

x = 12 tan 22.5

Twice that is what we're told is 9.9; let's check:

2x = 24 tan 22.5 = 9.941125496954282

The area of the little right triangle is

(1/2) 12 × 12 tan 22.5

and there are 16 of these

16 (1/2) 12 × 12 tan 22.5 ≈ 477.174

6 0
3 years ago
Help me with number 15 and 16
loris [4]

Answer:

Problem 15)

$40.91

Problem 16)

12.446 cm^2

Step-by-step explanation:

Problem 15)

Gala.

12.8 * 1.35 = 17.28

Honeycrisp.

9 * 1.68 = 15.12

Fuji

7.4 * 1.15 = 8.51

17.28 + 15.12 + 8.51 = 40.91

Problem 16)

(area1) + (area2) + (area3) = (total area)

(1.25*4.38) + (1.36*2.15) + (1.14*3.55) = x

5.475 + 2.924 + 4.047 = x

12.446 = x

3 0
2 years ago
If a =3x^2+5x-6 and b =-2x^2 -6x+7 then A - B equals
gizmo_the_mogwai [7]

Answer:

5x^2+11x-13

Step-by-step explanation:

a=3x^2+5x-6\\b=-2x^2-6x+7

a-b=(3x^2+5x-6)-(-2x^2-6x+7)=\\3x^2+5x-6+2x^2+6x-7=\\5x^2+11x-13

Hope this helps!

3 0
3 years ago
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