All categories

3 years ago

Use two unit multipliers to convert 35 centimeters to feet.

Mathematics

1 answer:

Vaselesa [24]3 years ago

5 0

35cm divided by 2.54 cm per in, then divided by 12 in/ft gives 1.148 feet (<u />1 ft 1.78 in).

You might be interested in

An English class has read the first 384 pages of their novel.

Pavel [41]

X - the total number of pages

$75\%x=384 \\
\frac{75}{100}x=384 \\
\frac{3}{4}x=384 \\
x=384 \times \frac{4}{3} \\
x=128 \times 4 \\
x=512$

There are 512 pages in the novel.

6 0

3 years ago

What is the circumference of the semicircle in this figure? Express your answer in feet.

Aleksandr-060686 [28]

Diameter of the semicircle: D=6 yd*(3 ft / 1yd)→D=18 ft
Circumference of the semicircle: C=pi*D/2
C=pi(18 ft)/2
C=9pi ft
pi=3.14
C=9(3.14) ft
C=28.26 ft

Answer: Fourth option 28.26 ft

3 0

3 years ago

Solve the equation uding the most direct method: 3x(x+6)=-10?

Tanzania [10]

To solve this problem, you will use the distributive property to create an equation that can be rearranged and solved using the quadratic formula.

<h3>Distribute</h3>

Use the distributive property to distribute 3x into the term (x + 6):

$3x(x+6)=-10$

$3x^2+18x=-10$

<h3>Rearrange</h3>

To create a quadratic equation, add 10 to both sides of the equation:

$3x^2+18x+10=-10+10$

$3x^2+18x+10=0$

<h3>Use the Quadratic Formula</h3>

The quadratic formula is defined as:

$\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The model of a quadratic equation is defined as ax² + bx + c = 0. This can be related to our equation.

Therefore:

a = 3
b = 18
c = 10

Set up the quadratic formula:

$\displaystyle x=\frac{-18 \pm \sqrt{(18)^2 - 4(3)(10)}}{2(3)}$

Simplify by using BPEMDAS, which is an acronym for the order of operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

$\displaystyle x=\frac{-18 \pm \sqrt{324 - 120}}{6}$

Simplify the radicand:

$\displaystyle x=\frac{-18 \pm \sqrt{204}}{6}$

Create a factor tree for 204:

204 - 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204.

The largest factor group that creates a perfect square is 4 × 51. Therefore, turn 204 into 4 × 51:

$\sqrt{4\times51}$

Then, using the Product Property of Square Roots, break this into two radicands:

$\sqrt{4} \times \sqrt{51}$

Since 4 is a perfect square, it can be evaluated:

$2 \times \sqrt{51}$

To simplify further for easier reading, remove the multiplication symbol:

$2\sqrt{51}$

Then, substitute for the quadratic formula:

$\displaystyle x=\frac{-18 \pm 2\sqrt{51}}{6}$

This gives us a combined root, which we should separate to make things easier on ourselves.

<h3>Separate the Roots</h3>

Separate the roots at the plus-minus symbol:

$\displaystyle x=\frac{-18 + 2\sqrt{51}}{6}$

$\displaystyle x=\frac{-18 - 2\sqrt{51}}{6}$

Then, simplify the numerator of the roots by factoring 2 out:

$\displaystyle x=\frac{2(-9 + \sqrt{51})}{6}$

$\displaystyle x=\frac{2(-9 - \sqrt{51})}{6}$

Then, simplify the fraction by reducing 2/6 to 1/3:

$\boxed{\displaystyle x=\frac{-9 + \sqrt{51}}{3}}$

$\boxed{\displaystyle x=\frac{-9 - \sqrt{51}}{3}}$

The final answer to this problem is:

$\displaystyle x=\frac{-9 + \sqrt{51}}{3}$

$\displaystyle x=\frac{-9 - \sqrt{51}}{3}$

3 0

2 years ago

What is the value of B ?

Virty [35]

Answer: 70.1

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Here is a histogram that shows the number of points scored by a college basketball player during the 2008 season. Describe the s

natima [27]

The shape of the histogram is positively skewed and the mean of the histogram is greater than the median

<h3>How to interpret the histogram?</h3>

From the complete question (see attachment for histogram), we have the following observations:

The bars at the left have greater heights than the bars at the right
The bars are of equal widths

The first highlight above means that the shape of the histogram is positively skewed.

This also means that the mean of the histogram is greater than the median