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Luda [366]
3 years ago
6

What is the percent of change from 35 to 62? round to the nearest percent.

Mathematics
1 answer:
Leona [35]3 years ago
7 0

In order to change from 35 to 62, we have to add 27. So, the question becomes: which percentage of 35 is 27?

To answer this question, we set this simple equation

27 = 35\cdot\dfrac{x}{100}

And solving for x we have

x = \dfrac{2700}{35} \approx 77.14

So, if you change from 35 to 62, you have an increase of about 77%

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a cone and a sphere have the same volume. the height of the cone is 96 units. what would be the values for the radius of the con
jolli1 [7]

The volume V_c of a cone  with base radius r_c and height h_c is

V_c = \dfrac{1}{3}\pi r_c^2 h_c

Similarly, the volume V_s of a sphere with radius r_s is

V_s = \dfrac{4}{3}\pi r_s^3

We know that V_c=V_s and that h_c=96

So, we can set up the following equation:

\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3

We can simplify the common denominator 3, and pi appearing on both sides:

96r_c^2=4r_s^3

We can divide both sides by 4:

24r_c^2=r_s^3

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

3 0
3 years ago
Identify the congruent triangles in the figure.
Komok [63]

Answer:

The answer would be HFG = KIJ (A)

If we know that the opposite and the adjacent side of the triangle are congruent, then the hypotenuse is congruent too. Therefor, A is correct as we know the opposite side and the adjacent side are congruent.

5 0
3 years ago
How many different anagrams can you make for the word MATHEMATICS?
Alex73 [517]

Answer:

4989600

Step-by-step explanation:

The given word is MATHEMATICS

Number of letters in the given word is 11

there are 2 M's, 2 A's and 2 T's

the given word is arranged in 11! ways

three letters are repeating, so we divide by repeating occurrences

number of different arrangements =\frac{11!}{2!2!2!}

= 4989600

7 0
3 years ago
A pom-pom manufacturer makes each of its pom-poms with 35% white strands (w), 25% blue strands (b), and 40% red strands (r). If
Margarita [4]

Answer:

32 red

28 white

20 blue

Step-by-step explanation:

.40 x 80 = 32 red

.35 x 80 = 28 white

.25 x 80 = 20 blue

The totals have to equal the total number of strands.

4 0
3 years ago
Read 2 more answers
Diana is painting statues.She has 7/8 of a gallon remaining.Each statue requires 1/16 of a gallon of paint. How many statues can
Irina-Kira [14]
The answer for the problem is 7/2
3 0
3 years ago
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