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faust18 [17]
3 years ago
11

A unit square and a rectangle have the same perimeter. What is the length of the rectangle if its area is 75% of the square's ar

ea?
Mathematics
2 answers:
lisabon 2012 [21]3 years ago
5 0

Answer:

The rectangle is 9 by 3

The square is 6 by 6


julsineya [31]3 years ago
3 0

Answer:

Step-by-step explanation:

Solution:

Denote the length of the rectangle as x.

The perimeter of the unit square (or rectangle) is 4

Make an equation of the area of the rectangle:  (2−x)·x=0.75 ⇒  x2−2x+0.75=0 ⇒ x=0.5, x=1.5

Answer: The length will be 1.5 units

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Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volu
Maurinko [17]

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

3 0
3 years ago
A drill is used to dig down into the earth. After 2 hours, the drill is 12 meters below the surface. After 5 hours, the drill is
Zanzabum
No idea to that answer sorry
4 0
4 years ago
Given f(x)=3x-1 i need help solving for x
yulyashka [42]

x=-3


i think that the homework give a number to substitute the X

4 0
4 years ago
Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke
Paraphin [41]

Answer:

2\frac{1}{6} pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}

Let us convert mixed fractions into improper fractions as:

1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}

\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}

\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}

\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}

Combine numerators:

\text{Weight of bucket}=\frac{36-10-13}{6}

\text{Weight of bucket}=\frac{13}{6}

\text{Weight of bucket}=2\frac{1}{6}

Therefore, the weight of the bucket is 2\frac{1}{6} pounds.

6 0
4 years ago
A 4-digit PIN number is selected. What it the probability that there are no repeated digits?
geniusboy [140]

Answer:

P(A)=0.504 or 50.4%

Step-by-step explanation:

The <em>probabilities</em> constitute a branch of mathematics that deals with measuring or quantitatively determining the possibility that an event or experiment produces a certain result. The probability is based on the study of combinatorics and is the necessary foundation of statistics.

A <em>permutation</em> is an ordered arrangement of objects in a group, without repetitions.

A 4-digit PIN is selected. What is the probability that there are no repeated digits?

First, there are only 10 possible values for each digit of the PIN (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). The total possibles 4 PINs are 10^{4} =10000

There's no repeated numbers and all the four numbers have to be different, which means we have to select 4 numbers out of 10 numbers. Using the permutation equation nP_{k} =\frac{n!}{(n-k)!}

10P_{4} =\frac{10!}{(10-4)!}=10.9.8.7.6= 5040

So, the probability that there are no repeated digits is:

P(A)=favorable cases/possible cases

P(A)=\frac{5040}{10000}=0.504 or 50.4%

.

5 0
4 years ago
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