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3 years ago

Find the measure of the angle

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

? = 113

Step-by-step explanation:

The angles are alternate interior angles. Alternate interior angles are equal if the lines are parallel. Since the lines are parallel, the angles are equal.

? = 113

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What is the total cost of $703 tablet computer that is on sale at 16% off if the local sales tax rate is 3%?

suter [353]

Answer: $608.24

Step-by-step explanation:

Hi, first we have to calculate the percentage amount of the discount.

We have to multiply the cost by the sale percentage in decimal form.

703 x (16/100) =703 x 0.16 =112.48

Then, we have to subtract that amount to the original cost.

703-112.48 = 590.52

Then, we have to calculate the sale tax amount by multiplying the sale cost by the tax percentage in decimal form.

590.52 x (3/100) = 590.52 x 0.03 =17.7156

Finally adding that amount to the sale cost.

590.52 +17.7156 = $608.24

3 0

3 years ago

Read 2 more answers

How do you solve for the value of PI using the formula for circumference?

stira [4]

$\text{The circumference of a circle}\\\\C=d\pi\\\\C-circumference\\d-diameter\\\\C=d\pi\to\pi=\dfrac{C}{d}\\------------------------------\\\\\text{The area of a circle}\\\\A=\pi r^2\\\\A-area\\r-radius\\\\A=\pi r^2\to\pi=\dfrac{A}{r^2}$

$EXAMPLE:\\\\d=7\ in\to2d=7\ in\to d=3.5\ in\\C=21.98\ in\\A=38.465\ in^2\\\\\pi=\dfrac{C}{d}\to\pi=\dfrac{21.98}{7}=3.14\\\\\pi=\dfrac{A}{r^2}\to\pi=\dfrac{38.465}{3.5^2}=\dfrac{38.465}{12.25}=3.14$

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4 years ago

All 10,000 California students in the beginning of 8th grade are given an entrance exam that will allow them to attend a top aca

lys-0071 [83]

Answer:

1.32% of students have the chance to attend the charter school.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

This year the mean on the entrance exam was an 82 with a standard deviation of 4.5.

This means that $\mu = 82, \sigma = 4.5$

a.What is the percentage of students who have the chance to attend the charter school?

Students who achieve a score of 92 or greater are admitted, which means that the proportion is 1 subtracted by the pvalue of Z when X = 92. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{92 - 82}{4.5}$

$Z = 2.22$

$Z = 2.22$ has a pvalue of 0.9868

1 - 0.9868 = 0.0132

0.0132*100% = 1.32%

1.32% of students have the chance to attend the charter school.

7 0

3 years ago

The point (1,-1) is on the terminal side of angle theta in standard position what are the values of sine cuisine and tangent of

pickupchik [31]

$\bf \textit{terminal point }\implies 
\begin{array}{lclcll}
(&1&,&-1)\\
&\uparrow &&\uparrow \\
&x&&y
\end{array}
\\\\\\
sin(\theta)=\cfrac{y}{r}
\qquad 
% cosine
cos(\theta)=\cfrac{x}{r}
\qquad 
% tangent
tan(\theta)=\cfrac{y}{x}\\\\
-----------------------------\\\\
\textit{so, what's the radius "r"?}\implies r^2=x^2+y^2\implies r=\sqrt{x^2+y^2}$

3 0

3 years ago

You are a first year police officer in Swanton, Ohio. You are earning a monthly salary of $2,200. Next year you will be given a

Step2247 [10]

About $290.83.

Hope this helps!

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3 years ago