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2 years ago

What is AC? Please help me with this problem fast

Mathematics

2 answers:

suter [353]2 years ago

5 0

Answer:

Step-by-step explanation:

Pythagorean theorem

kupik [55]2 years ago

3 0

Answer: 37 (side AB)

Step-by-step explanation:

For this question you would have to use Pythagoras' theorem. Pythagoras' theorem states that c²=a²+b².

so when you put the numbers in the formula you get c²=12²+35²

12²=144

35²=1225

c²=144+1225

c²=1369

Then because you want c on it's own you square root 1369.

c=√1369

c=37

Hope this helps :)

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H^2+14h=-31 Solve by completing the square

matrenka [14]

Since the constant has been moved to the left side, you can move on to the next step which is adding (b/2)² to both sides of the equation.

h² + 14h + (14/2)² = -31 + (14/2)²

Simplify the parenthesis and exponent.

h² + 14h + 7² = -31 + 7²

h² + 14h + 49 = -31 + 49

h² + 14h + 49 = 18

Factor the expression of the left.

(h + 7)(h + 7) = 18

Take the square root of both sides.

√(h + 7)(h + 7) = ± √9 • 2

(h + 7) = ± 3√2

h + 7 = ± 3√2

Subtract 7 from both sides.

You solutions are:

h = -7 + 3√2 → -2.7573 → -2.76

h = -7 - 3√2 → -11.2426 → -11.24

5 0

2 years ago

Read 2 more answers

Base area: 12.5 m2; height: 1.2 m

Novay_Z [31]

Answer:

Volume = 150 m^2

Step-by-step explanation:

Using Volume formula of prism, we get L*W*H, but since we know the area of the base is L*W, which is 12.5, we multiply 12.5 by 12 to get 150 m^2.

7 0

2 years ago

What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

3 0

2 years ago

I am having trouble with mean absolute deviation and whisker box plots. I try looking at examples, but it keeps stressing me out

Arada [10]

Answer:

Mean absolute deviation is a statistical measure of dispersion. Whisker box-plot is a graphical method of quartile based divided data

Step-by-step explanation:

Mean Absolute Deviation is a statistical measure of dispersion or variability in data. It denotes average level of deviation of observations from the central mean.

It is calculated using following formula : ( Σ | X - X' | ) ÷ N ; where X = individual observations, X' = mean, N = no. of observations

Whisker Box-plot is a graphical method of representing group of numerical data through their quartiles. This also consists line extensions from boxes, showing scatter beyond lower & upper quartile.

8 0

2 years ago

Juan got a new helicopter for Christmas and the time it takes to ascend to certain heights is shown above. His sister, Marla, be

Greeley [361]

Well for the first one,
You have to find out if it is at 25 ft at one second, but since you can't you find the next best thing, find 25 feet then see how many seconds it is at.

For the second one you would have to find where they directly meet, I chose 40 and 20
40 April Sales = 20 March Sales
So this means that for every March sale you would have 2 April sales. 40/20 = 2

7 0

2 years ago