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bazaltina [42]
3 years ago
8

Measure the diagonal of a square whose area is exactly one square foot. Is the diagonal length closer to 1.5 or 1.4 feet? Explai

n.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

It is closer to 1.4

Step-by-step explanation:

This is a 45 45 90 triangle

To find the hypotenuse of this triangle it is any side length times the square root of two.

Formula: Square Root = sqrt

Hypotenuse = SideLength*sqrt(2) ; 1*sqrt(2) = 1.412...

Rounded to the nearest tenths it is closer to 1.4 than 1.5


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How would I solve this?? 5p-8(p+1)>16
alexandr402 [8]

<em>*To solve inequalities is similar to solving equations: isolate the desired variable to one side.</em>

So firstly, distribute -8 to (p + 1):

5p-8p-8>16

Next, combine like terms:

-3p-8>16

Next, add 8 to both sides:

-3p>24

Lastly, divide both sides by -3. Now since you are dividing by a <u>negative</u>, you will be flipping the inequality symbol as well.<u> Your final answer will be p</u>

6 0
3 years ago
Sarah and four friends are decorating picture frames with ribbon they have four rolls of ribbon to share evenly how much does ea
Tpy6a [65]
80% of a roll each

4/5=0.8 

x 100 = 80%

8 0
3 years ago
A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Zina [86]

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

7 0
3 years ago
Graph the line using a point and a slope. Write the equation of each line.
Mandarinka [93]

Answer:

y = x - 2

Step-by-step explanation:

Parallel lines have the same slope, so the line will also have a slope of 1.

Plug in the slope and given point into y = mx + b to solve for b:

y = mx + b

-1 = 1(1) + b

-1 = 1 + b

-2 = b

Plug in b and the slope into y = mx + b

y = x - 2 is the equation

7 0
3 years ago
Read 2 more answers
For one Geometry test, Nancy correctly answered 18 questions. These correct answers gave her a percent score of 72%. In total, h
Brrunno [24]

Answer:

25 questions.

Step-by-step explanation:

Correct answer = 18

The percent score of the correct answers is 72%.

Let there are x questions in the test. So,

According to the given condition,

72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25

Hence, there were 25 questions in the geometry test.

4 0
3 years ago
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