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3 years ago

UNSER

Mathematics

1 answer:

Neko [114]3 years ago

6 0

Answer:

2100

Step-by-step explanation:

30%×3000=900.

3000-900=2100

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A 64-foot tall monument casts a shadow 16 feet long. If Kyle is stsnding nearby and is 6'3 tall, find the length of his shadow.

Helen [10]

Answer: Length of his shadow is 18 feet.

Step-by-step explanation:

Since we have given that

Length of tall monument = 64 foot

Length of shadow = 16 feet

Length of pole where Kyle is standing = 6 feet 3 inch = 72 inches

So, we need to find the length of its shadow.

So, according to question, we get that

$\dfrac{64\times 12}{16\times 12}=\dfrac{72}{x}\\\\4=\dfrac{72}{x}\\\\4x=72\\\\x=\dfrac{72}{4}\\\\x=18\ feet$

Hence, length of his shadow is 18 feet.

3 0

3 years ago

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar

erma4kov [3.2K]

Answer:

$\frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

Step-by-step explanation:

Given

5 tuples implies that:

$n = 5$

$(h,i,j,k,m)$ implies that:

$r = 5$

Required

How many 5-tuples of integers $(h, i, j, k,m)$ are there such that $n\ge h\ge i\ge j\ge k\ge m\ge 1$

From the question, the order of the integers h, i, j, k and m does not matter. This implies that, we make use of combination to solve this problem.

Also considering that repetition is allowed: This implies that, a number can be repeated in more than 1 location

So, there are n + 4 items to make selection from

The selection becomes:

$^{n}C_r => ^{n + 4}C_5$

$^{n + 4}C_5 = \frac{(n+4)!}{(n+4-5)!5!}$

$^{n + 4}C_5 = \frac{(n+4)!}{(n-1)!5!}$

Expand the numerator

$^{n + 4}C_5 = \frac{(n+4)!(n+3)*(n+2)*(n+1)*n*(n-1)!}{(n-1)!5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5!}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{5*4*3*2*1}$

$^{n + 4}C_5 = \frac{(n+4)*(n+3)*(n+2)*(n+1)*n}{120}$

<u><em>Solved</em></u>

6 0

3 years ago

1. A square pizza box has an area of 155 cm^2. Which is the best estimate of the side length of the pizza box?

natulia [17]

Answer:

its D

Step-by-step explanation:

did it

7 0

2 years ago

Read 2 more answers

Whoever answers first can get brainliest!

Andrew [12]

Answer:

Step-by-step explanation:

8 0

3 years ago

Please help me !!!!!!!!!!!!!!!!

Nutka1998 [239]

Answer: x=-10, y=13

Step-by-step explanation:

$-3x+2y=56\\-5x-2y=24$

+2y-2y = 0, eliminating y is much easier. So -3x-5x = -8x and 56+24 = 80

$-8x=80\\x=-10$

Substitute x in any equations but only 1 equation (Don't substitute in both equations.)

For me, I'd substitute x in -3x+2y=50

$-3(-10)+2y=56\\30+2y=56\\2y=56-30\\2y=26\\y=13$

So the answer is x = -10, y = 13

5 0

3 years ago