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polet [3.4K]
3 years ago
14

What is the height of the cone below?

Mathematics
1 answer:
melisa1 [442]3 years ago
3 0

The formula of a volume of a cone:

V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2

Substitute:

90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15

<h3>Answer: 15 cm.</h3>
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You have 23 coins, including nickels, dimes, and quarters. if you have two more dimes than quarters, and the total value of the
Tanzania [10]
You can write three equations in the numbers of nickels (n), dime (d), and quarters (q).
  n + d + q = 23 . . . . . . . there are 23 coins total
  0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters
  5n +10d +25q = 250 . .the total value is $2.50

The collection includes 11 nickels, 7 dimes, and 5 quarters.

_____
I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.
  (5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)
  25q = 125 . . . . . . . simplify
  q = 5
From the second equation,
  d = q +2 = 7
And from the first,
  n = 23 -5 -7 = 11
7 0
3 years ago
Read 2 more answers
Find three consecutive integers whose sum is 558
SIZIF [17.4K]
Those are 185, 186 and 187

What you do is create this system of equations:

x+y+z=558  (three integers add up to 558)
x+1=y  (they are consecutive, so that is translated as a number+1)
y+1=z (same logic as before)

And then you just resolve that system.
8 0
3 years ago
A train stops at Atlanta, then at Bayville, and then at Colleyville. The
Nezavi [6.7K]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete as what is required of the question is not stated.</em>

<em>However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.</em>

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

AC = 25.5\ miles

AB = 10\frac{2}{3}\ miles

The relationship between AB, AC and BC is:

AC = AB + BC

Make BC the subject of formula:

BC = AC - AB

BC = 25.5 - 10\frac{2}{3}

Convert fraction to decimal

BC = 25.5 - 10.7

BC = 14.8

<em>Hence, the distance from Bayville to Colleyville is 14.8 miles</em>

3 0
3 years ago
ALG 2<br> 7x+y=9<br> solve for y
____ [38]

7x+y-9=0

move constant to the left by adding its opposite to both sides. the sum of the two =0

5 0
3 years ago
Problem: (5x^4 – 3x^3 + 6x) – (3x^3 + 11x^2 – 8x)<br><br> Answer: 5x^4-6x^3 -11x^2 +14x
g100num [7]
Combine the like terms by adding the coefficients,
->5x^4 can't add anything so leave it there,
->-3x^3 can add -3x^3 which gives you -6x^3,
->We can't do anything with -11x^2 so leave it there as well,
->6x add to -(-8x) gives you 14x,
You will get for your final answer is 5x^4-6x^3-11x^2+14x.
8 0
3 years ago
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