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4 years ago

9

Is 21/5 a rational number

1 answer:

Anastaziya [24]4 years ago

8 0

The number 21/5 is a rational number because it can be simplified down to 4.2, or 21/5

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Photo question; find the length

zzz [600]

$\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ \cline{1-1} \theta =135\\ r=11.4 \end{cases}\implies s=\cfrac{\pi (135)(11.4)}{180}\implies s=8.55\pi \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill s\approx 26.86~\hfill$

3 0

3 years ago

Read 2 more answers

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is

PSYCHO15rus [73]

Answer:

$Base (B) = /frac{15x² + 1 + 2}{x}$

Step-by-step Explanation:

==>Given:

Dimensions of a rectangular prism are expressed as follow:

Volume (V) = 15x² + x + 2

Height (h) = x²

==>Required:

Expression of the Base area (B)

==>Solution:

Volume (V) = Base (B) × Height (h)

15x² + x + 2 = B × x²

Divide both sides by x²

$\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}$

4 0

3 years ago

jeka94

The exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate circumference of the circle is $7.33 k m$

Explanation:

The diameter of the circle is $2 \frac{1}{3} \mathrm{km}$

Now, we shall find the circumference of the circle.

The formula to determine the circumference of the circle is given by

$C=\pi d$

Where C is the circumference , $\pi$ is 3.14 and $d=2 \frac{1}{3} \mathrm$ is the diameter of the circle.

The exact circumference of the circle is given by

$\begin{aligned}C &=\pi d \\&=(3.14)\left(2 \frac{1}{3}\right) \\&=(3.14)\left(\frac{7}{3}\right) \\&=\frac{21.98}{3}\end{aligned}$

Multiply both numerator and denominator by 100, we get,

$C=\frac{2198}{300} \\C=\frac{1099}{150}$

Converting $\frac{1099}{150}$ into mixed fraction, we get,

$C=7 \frac{49}{150}$

Thus, the exact circumference of the circle is $7 \frac{49}{150} k m$

The approximate value of the circumference can be determined by dividing the value $\frac{1099}{150}$

$C=\frac{1099}{150}=7.327$

$C=7.33km$

Thus, the approximate circumference of the circle is $7.33 k m$

3 0

4 years ago

5 plus 2 minus 6 times 4

nevsk [136]

Answer:

714

Step-by-step explanation:

5+2=7

7-6=1

1x4=4

3 0

3 years ago

Read 2 more answers

If x is increased by 20%.<br>then what<br>will be the increased percent if there will be x^2?<br>

nevsk [136]

Answer:

the area will be increased by 44%

Step-by-step explanation:

5 0

3 years ago