Help me with this question please!

Mathematics

1 answer:

BlackZzzverrR [31]1 year ago

7 0

$\large \rm \frac{2 ^{3} }{ \sqrt[4]{2} }$

$\large \rm \frac{2 ^{3} }{2 ^{ \frac{1}{4} } }$

Divide the terms with the same base by subtracting their exponents

$\large \rm \: 2 ^{3 - \frac{1}{4} }$

Calculate the difference

$\large \rm2 ^{ \frac{11}{4} }$

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Zigmanuir [339]

So the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
step one: 4/3 times 3.14 = 4.18666666667
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6 0

2 years ago

Which inequality represents the sentence below? The difference of a number and one and four tenths is more than nine and seventy

Marianna [84]

The inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

<h3>What is the inequality equation?</h3>

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.

Given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

Before solving it, first let's discuss the tenth and hundredths,

Tenth is written as the fractional part of the number 10. The value of one tenth is equal to 1/10 or 0.1.
Hundredths is written as the fractional part of the number 100. The value of one hundredth is equal to 1/100 or 0.01.

Here, the sentence given that the difference of a number and one and four tenths is more than nine and seventy-eight hundredths.

One and four tenths can be written as,

$1\dfrac{4}{10}$

Nine and seventy-eight hundredths can be written as,

$9\dfrac{78}{100}$

Let suppose the number is <em>p</em>. This difference of this number and one four tenths is more than nine and seventy-eight hundredths. Thus,

$p-1\dfrac{4}{10} > 9\dfrac{78}{100}\\p-\dfrac{14}{10} > \dfrac{978}{100}\\p-1.4 > 9.78\\$

Hence, the inequality represents the sentence below is that the p minus 1. 4 greater-than 9.

Learn more about the inequality equation here:

brainly.com/question/17724536

3 0

1 year ago

Two people are 100 feet apart on opposite sides of a tree. The angles of elevation from the people to the top of the tree are 30

cricket20 [7]

We need to solve for the height of the tree given two angles and distance between the two observers. See attached drawing for a better understanding of the problem.
We derive to equations using SOH CAH TOA such as below:
sin30 = h / x
sin 45 = h / (100-x)

sin 45 (100-x) = xsin30
70.71 - 0.71x = 0.5x
70.71 = 1.21 x
x = 58.44

Solving for h, we have:
h = xsin30
h = 58.44 sin30
h = 29.22

The height of the tree is 29.22 feet.