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Vaselesa [24]
3 years ago
10

10. The sum of three consecutive integers is 45. What are the three integers?

Mathematics
1 answer:
spayn [35]3 years ago
8 0

Answer:

<h3>            14, 15, 16</h3>

Step-by-step explanation:

The consecutive integers iincrease by 1. So the middle integer of an odd number of consecutive integers is their mean. Three is an odd number of integers.

45:3 = 15   ← middle number

15 - 1 = 14   ← the smallest number

15 + 1 = 16  ← the largest number

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Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 g
astra-53 [7]
Let n be a number of balls: n = 14

In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20

Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
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4 0
3 years ago
Read 2 more answers
Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer t
postnew [5]

9514 1404 393

Answer:

  563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

Recognize that the radius is half the diameter:

  r = (11.9 cm)/2 = 5.95 cm

  V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

<em>Additional comment</em>

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

3 0
3 years ago
Help me please, IXL keeps messing me up
lapo4ka [179]
Answer:

B(-7, -3) C(3, -3) D(3, -1) E(-7, -1)

Step-by-step explanation:

*I am just labeling the points*

B(-7, 5) C(3, 5) D(3, 7) E(-7, 7)

If we were to translate the points 8 units down, we would only need to subtract the y-intercept for every point by 8. (Except don’t include any tenth places)

B(-7, -3) C(3, -3) D(3, -1) E(-7, -1)
••••••••••••••••••••••••••••••••••••
doomdabomb (me): All brainliest
and thanks are appreciated and
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6 0
3 years ago
The legs of a right triangle measure 8 cm and 6 cm respectively. How long is the longest side of the triangle?
Masja [62]

Answer:

b. 10

Step-by-step explanation:

Based on the Pythagoras Theorem, the longest side of a right-angled triangle is: \sqrt{a^{2}+b^{2} } where a and b are the legs of the triangle.

Longest side of triangle = \sqrt{8^{2}+6^{2}}

                                        = \sqrt{64+36}

                                        = \sqrt{100}

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5 0
3 years ago
Determine the approximate measure of angle E.
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Answer is C.

Law of cosines.

cos-1(-80/240)
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3 years ago
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