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vagabundo [1.1K]
3 years ago
11

Two spheres, one of radius 15 and the other of radius 33, have the same center. Find the side length of the largest cube that fi

ts between them.

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer: 18

Step-by-step explanation:

The detailed explanation is in the attached picture.

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Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the f
Alex73 [517]

Answer:

$600 interest will be paid in the first 5 years

Step-by-step explanation:

Simple interest is calculated only on the principal or initial amount deposited. Jim deposits 6000 into an account that pays simple interest at a rate of 2% per year. The formula for simple interest is expressed as

I = PRT/100

Where

I represents interest after the given time.

R represents the interest loan on the principal.

T represent number of time in years.

P represents principal or initial amount deposited.

From the information given,

R = 2

P = 6000

T = 5

I = (6000 × 2 × 5)/100 = $600

6 0
3 years ago
The answer and how to find the answer
Katarina [22]

Answer:

x = 1.9

Step-by-step explanation:

Thanks to a theorem we can use this proportion

10.47 : 4.44 = 4.44 = x

x = (4.44^2)/10.47 = 1,882865 = 1.9

6 0
3 years ago
HELP AND PLZ EXPLAIN PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZzz
Yakvenalex [24]
Here, you're mixing scores 85 and 90 with weights X and Y, respectively. You are asked for the ratio of X to Y.

There's a quick way to work mixture problems of all kinds. Write the two components of the mixture on the left. Here, they are 90 and 85. (I usually put the larger one on top.) Put the mixed value in the middle, and form differences along the lines of an X, as shown. The numbers on the right give the relative contributions of the constituents at the same level in the diagram. Here, the ratio of X to Y is shown as 2 to 3.

For some mixture problems, you need to know the proportion of the constituent to the whole. In that case, add the ratio values to get the "whole". For example, here the X class students make up 2/(2+3) = 2/5 of the whole number of students.

For your problem, X/Y = 2/3, corresponding to selection D.

7 0
3 years ago
A. A newborn red panda weighs 100 grams. A
77julia77 [94]

Answer:

y=100\cdot (1.07)^d

Step-by-step explanation:

Find the expression to represent how much you would expect a cub to weigh d days after it's born as exponential growth function y=a\cdot b^d, where a is the initial panda's weight and b is the rate of growth.​

A newborn red panda weighs 100 grams, then a=100.

A healthy cub gains about 7% of its newborn weight per day, then

b=1+0.07=1.07

Hence,

y=100\cdot (1.07)^d

8 0
4 years ago
Help. I need to explain if she’s right or not
pickupchik [31]
The triangular pyramid is made of 4 congruent triangles. They all have the same shape and size, so they have the same area. The area of one triangle is

A = b*h/2
A = 5*4.3/2
A = 10.75

So four of them lead to a total surface area of 4*10.75 = 43 square meters

--------------------------

The rectangular prism has the dimensions
L = 5
W = 5
H = 4.3

The surface area is found through the formula below
SA = 2*(L*W+L*H+W*H)
SA = 2*(5*5+5*4.3+5*4.3)
SA = 136

--------------------------

So far we found that
surface area of pyramid = 43 square meters
surface area of prism = 136 square meters

Dividing the values, we get 136/43 = 3.16279 approximately. The result is not equal to 2, so Susan's statement is not correct. The prism has more than twice the surface area of the pyramid

3 0
4 years ago
Read 2 more answers
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