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3 years ago

Find the product. Simplify if possible

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

4 0

−1/3⋅(8 1/7)

change 8 1/7 to an improper fraction

8 1/7 = (7*8 +1)/7 = 57/7

-1/3 * 57/7

-57/21

21 goes into 57 2 times with 15 left over

-2 15/21

divide top and bottom of the fraction by 3

-2 5/7

Choice B

swat323 years ago

4 0

change the mixed number to an improper fraction

8 $\frac{1}{7}$ = $\frac{57}{7}$

- $\frac{1}{3}$ × $\frac{57}{7}$ = - $\frac{19}{7}$ = - 2 $\frac{5}{7}$ → b

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3

Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is $258.75\ in^3$ .

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

$Volume = Length\times height\times width$

Substitute all given value in above formula.

$258.75 = (h-4)\times h\times 3$

Rewrite the equation as:

$258.75 = 3h(h-4)$

$258.75 = 3h^2-12h$

$3h^2-12h-258.75=0$

whole equation divided by 3.

$h^2-4h-86.25=0$

Use quadratic formula with $a = 1, b = -4,c=-86.25$

$h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}$

Put these a, b and c value in above equation.

$h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}$

$h=\frac{4\pm \sqrt{16+345}}{2}$

$h=\frac{4\pm \sqrt{361}}{2}$

$h=\frac{4\pm 19}{2}$

For positive sign

$h=\frac{23}{2}$

h = 11.5 in

For negative sign

$h=\frac{-15}{2}$

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

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3 years ago

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Answer:

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2 years ago

Please find the measure of the exterior angle

makvit [3.9K]

Answer:

exterior angles:

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126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

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