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4 years ago

Find the missing triangle. Leave answer in simplest radical form. Also please explain clearly.

Mathematics

1 answer:

Y_Kistochka [10]4 years ago

4 0

Answer:

Pythagorean Theorem

hypotenuse^2 = side^2 + side^2

16^2 = 7^2 + side ^ 2

256 - 49 = side^2

side x = sq root (207)

207 = 9 * 23 Therefore,

side x = 3 * sq root (23)

answer is A

Step-by-step explanation:

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Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12

luda_lava [24]

The given equations are as follows

$\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}$

(1) First, multiply both sides of equation A by 4, we have

$4\times\left(\frac{x}{4} +1\right)=4\times(-3)$

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

$4\times\frac{x}{4}+4\times1=4(-3)$

$\Rightarrow x+4=-12$

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

3 0

3 years ago

F(-2)=3+2x how do I solve this homework

True [87]

Answer:

Photomath

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

In a sample of nequals16 lichen specimens, the researchers found the mean and standard deviation of the amount of the radioacti

Dovator [93]

Answer:

(a) The confidence level desired by the researchers is 95%.

(b) The sampling error is 0.001 microcurie per millilitre.

Step-by-step explanation:

The mean and standard deviation of the amount of the radioactive element, cesium-137 present in a sample of n = 16 lichen specimen are:

$\bar x=0.009\\s=0.003$

Now it is provided that the researchers want to increase the sample size in order to estimate the mean μ to within 0.001 microcurie per millilitre of its true value, using a 95% confidence interval.

The (1 - α)% confidence interval for population mean (μ) is:

$CI=\bar x \pm z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

(a)

The confidence level is the probability that a particular value of the parameter under study falls within a specific interval of values.

In this case the researches wants to estimate the mean using the 95% confidence interval.

Thus, the confidence level desired by the researchers is 95%.

(b)

In case of statistical analysis, during the computation of a certain statistic, to estimate the value of the parameter under study, certain error occurs which are known as the sampling error.

In case of the estimate of parameter using a confidence interval the sampling error is known as the margin of error.

In this case the margin of error is 0.001 microcurie per millilitre.

(c)

The margin of error is computed using the formula:

$MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the sample size value as follows:

$MOE=z_{\alpha/2}\times \frac{s}{\sqrt{n}}$

$n=[\frac{z_{\alpha/2}\times s}{MOE}]^{2}$

$=[\frac{1.96\times 0.003}{0.001}]^{2}$

$=34.5744\\\approx36$

Thus, the sample size necessary to obtain the desired estimate is 36.

8 0

3 years ago

Answer this equation -3(5g+1)+8g=

maksim [4K]

Answer:

-7g - 3

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining like terms

Step-by-step explanation:

Step 1: Define expression

-3(5g + 1) + 8g

Step 2: Simplify

Distribute -3: -15g - 3 + 8g
Combine like terms: -7g - 3

6 0

3 years ago

Read 2 more answers

If Bruce has 42 superhero stickers, how many pencils does Alex have?

Ber [7]

Bruce should be glad he has parents to buy him stickers. Unless his last name is Wayne, then maybe Alfred is buying them for him... But what does stickers have to do with pencils? By the way, Alex has 45 pencils.

3 0

4 years ago