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3 years ago

HELPPP!!!! Will mark BRAINLIEST!!!!

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

Step-by-step explanation:

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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

4 0

3 years ago

Convert 714.81 mm to meters. (please show the steps to how you did the problem.)

zaharov [31]

Answer:

0.7148 meter

Step-by-step explanation:

you have to divied 714.81 by 1000 to get 0.7148 meter

5 0

3 years ago

Read 2 more answers

Someone please help me

Phoenix [80]

Answer: 120, 60, 180

Step-by-step explanation:

1) Area of a rectangle's formula is:

l × w

So, looking at the diagram, we get:

6 × 20 = 120 cm²

2) Area of a trapezoid's formula is:

$\frac{a+b}{2}$ × h (where both a and b are the different base lengths)

So, looking at the diagram, we get:

$\frac{10+20}{2}$ × 4 = 60 cm²

3) Add both to find the area of the entire figure.

120 + 60 = 180 cm²

8 0

3 years ago

CAN SOMEONE PLS HELP ME I WILL MARK U BRAINLIEST

sukhopar [10]

Answer:

$x \geqslant 1$

Step-by-step explanation:

The expression in the square root should be greater than or equal to zero, because square root of a negative number does not give a real number.

$x - 1 \geqslant 0 \\ x \geqslant 1$

6 0

2 years ago

Read 2 more answers

What is the standard deviation for the data given: 5,10,7,12,0,20,15,22,8,2

Ksju [112]

Explanation is $^{}$ in a file

bit. $^{}$ ly/3gVQKw3

4 0

3 years ago