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3 years ago

What is a name for the marked angle? A: CAD B: CDA C: FAB D: FDA

Mathematics

1 answer:

cluponka [151]3 years ago

3 0

Answer:

A.) Angle CAD

Step-by-step explanation:

Hope this helps! :)

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Use the distance formula to find the distance between (1 3) and (-2 9) rounded to the nearest hundredth

frosja888 [35]

Answer:

D = 6.71

Step-by-step explanation:

The distance formula is $D = \sqrt {(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }$

Decide which point will be Point 1 and Point 2.

Point 1: ( 1,3 ) x₁ = 1 y₁ = 3

Point 2: (-2, 9) x₂ = -2 y₂ = 9

Substitute the information into the formula.

$D = \sqrt {(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2} }$

$D = \sqrt {(-2 -1)^{2} +(9 -3)^{2} }$ Simplify within the brackets

$D = \sqrt {(-3)^{2} +(6)^{2} }$ Square each number

$D = \sqrt {9 +36 }$ Add

$D = \sqrt {45 }$ Exact answer as a radical (root number)

$D = 6.708....$ Answer in decimals

$D = 6.71$ Rounded answer to nearest hundredth

The nearest hundredth is the second place value. It rounds up because the value after it is "8", which is greater than 4.

6 0

3 years ago

The surface area of a cube is 54cm2. what is the area of one face of the cube? What is the length of one edge of the cube?

xenn [34]

$Area\ of\ cube:\\\\A=6a^2\\\\54=6a^2\ \ \ \ \ \ \ |:6\\\\a^2=9\ -\ area\ of\ the\ one\ face\ of\ the\ cube\\\\a=3\ -\ length\ of\ one\ edge$

8 0

3 years ago

The mean income per person in the United States is $50,000, and the distribution of incomes follows a normal distribution. A ran

sergij07 [2.7K]

Answer:

Yes. There is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average

Step-by-step explanation:

Given the following;

$\alpha=Significance \ Level=0.05\\n=10\\\bar X=60000\\\ s=sample\ \sigma=10000$

#We set our hypothesis as:

$H_o:\mu\leq 50000\\H_a:\mu>50000$

The rejection region of either hypothesis:

$P(t>t_o)=0.05$ , we determine the critical values for this probability in the T distribution table;

$t=1.833$

=>We reject for all values greater than 1.833, t>1.833.

#We now determine the value of the test statistic as:

$t=\frac{\bar X-\mu_o}{s/\sqrt{n}}\\\\=\frac{60000-50000}{10000/\sqrt{10}}\\\\=3.1623$

We find that:

$t=3.1623>1.833,\ \ \ Reject \ H_o$

Hence, there is sufficient eveidence to support the claim that Wilmington resident's earn more than the national average.

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3 years ago

Stefan is measuring the angles of a triangle. He measures the first angle and gets a measure of 80° What does he know about the

zlopas [31]

The answer would be B, since the other two just have to equal 100.

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4 years ago

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Solve the equation 23z=18

tatyana61 [14]

Answer:

$\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}$

$23z = 18 \\ z = \frac{18}{23} \\ z = 0.782$

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

$\huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}$

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3 years ago

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