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Pavlova-9 [17]
4 years ago
9

Does anyone know this?

Mathematics
1 answer:
yaroslaw [1]4 years ago
4 0

The rectangle's length is 30 inches while it's width is 24 inches.

Step-by-step explanation:

Step 1; Any rectangle's area is calculated by multiplying the rectangle's length and its width. Assume the the rectangle's length is 5x while it's width is 4x as it is given that the ratio of it's length to width is 5: 4.

Area of the rectangle = 5x × 4x = 720, 20x² = 720.

x² = \frac{720}{20} = 36, x =√36 = 6.

Step 2; As we assumed length equals 5x and the width will equal 4x.

The rectangle's length = 5x = 5 × 6 = 30 inches,

The rectangle's width = 4x = 4 × 6 = 24 inches.

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Answer:

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Step-by-step explanation:

3 0
3 years ago
Find the inverse of the Function<br> <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%7D%7B9%7D%20%7D%2
scoray [572]

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

6 0
3 years ago
The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5
vladimir1956 [14]

Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score,\bar x=3.5

Score(x)   frequency   C.F

1                  1                 1

2                  3                4

3                  f                 15(4+f=4+11)

4                  13               28

5                   4               32

\sum f_i=1+3+f+13+4=21+f

\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f

(\bar x)=\frac{\sum f_ix_i}{\sum f_i}

Using the formula

3.5=\frac{79+3f}{21+f}

73.5+3.5f=79+3f

3.5f-3f=79-73.5

0.5f=5.5

f=\frac{5.5}{0.5}=11

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}

Median=\frac{16th+17th}{2}=\frac{4+4}{2}=\frac{8}{2}=4

7 0
4 years ago
SOMEONE PLS ANSWER STEP BY STEP TY<br> 9k-2≥88 or -34 -4&gt; -25
Ghella [55]

Hello,

    9k - 2  88

⇔ 9k - 2 + 2 ≥ 88 + 2

⇔ 9k ≥ 90

⇔ 9k/9 ≥ 90/9

⇔ k ≥ 10

S = [10 ; + ∞ [

4 0
2 years ago
Read 2 more answers
Which statement best describes the definition of x^m/n and explains why it makes sense?
Vsevolod [243]
I really don’t know
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3 years ago
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