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3 years ago

The following is an equilateral triangle. Solve for y.

Mathematics

1 answer:

GuDViN [60]3 years ago

7 0

Answer:

y = 68 degrees

Step-by-step explanation:

Here, we want to solve for an equilateral triangle with the internal angle measurement being y-8

If one of the angles is y-8, then the rest are y-8 too

mathematically, by adding all , we have a total of 180

Thus;

3(y-8) = 180

y-8 = 180/3

y-8 = 60

y = 60+8

y = 68 degrees

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Find the measure of angle x.

Bezzdna [24]

Answer:The measure of angle x is 65°.

Step-by-step explanation: Determine the measure of angle x. Step 1: Add together the known angles. Step 2: Subtract the sum from 180°. The measure of angle x is 65°.

6 0

3 years ago

Jean wrote two correct variable expressions to represent the phrase “the quotient of a number and 3.”

Pie

The two variable expressions that describe the quotient (division) would be n/3 or n(division symbol)3

3 0

3 years ago

Read 2 more answers

At a cell phone assembly plant, 77% of the cell phone keypads pass inspection. A random sample of 111 keypads is analyzed. Find

Serggg [28]

Answer:

The probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

Let p = the proportion of keypads that pass inspection at a cell phone assembly plant.

The probability that a randomly selected cell phone keypad passes the inspection is, p = 0.77.

A random sample of n = 111 keypads is analyzed.

Then the sampling distribution of $\hat p$ is:

$\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})\\\Rightarrow \hat p\sim N (0.77, 0.04)$

Compute the probability that the proportion of passed keypads is between 0.72 and 0.80 as follows:

$P(0.72$

$=P(-1.25$

Thus, the probability that the proportion of passed keypads is between 0.72 and 0.80 is 0.6677.

8 0

3 years ago

What is the answer to this question? Please Help.

Arte-miy333 [17]

Answer:

x = 2, y= 3

Step-by-step explanation:

y = -2x+7

y = 5x-7

Since the equations are both equal to y, set them equal to each other

-2x+7 = 5x-7

Add 2x to each side

-2x+7 +2x= 5x+2x-7

7 = 7x -7

Add 7 to each side

7+7 = 7x

14 = 7x

Divide by 7

14/7 = 7x/7

2 = x

Now find y

y = 5x-7

y = 5*2 -7

y = 10-7

y =3

5 0

3 years ago

Why are there 27 cubic feet in one cubic yard

kobusy [5.1K]

One cubic yard is equal to 27 cubic feet because one yard is equal to 3 feet

Solution:

Given that, there 27 cubic feet in one cubic yard

Yard and feet are units of distance

1 Yard (yd) is equal to 3 feet (ft). To convert yards to feet, multiply the yard value by 3.

The conversion factor for 1 yard to 1 feet is given as:

$1 \text{ yard } = 3 \text{ foot }$

Now find for 1 cubic yard . Cubic yard means yard raised to power 3

Therefore,

$1\ yard^3 = (3)^3\ feet^3\\\\1\ yard^3 = 27 feet^3\\\\1\ cubic\ yard = 27\ cubic\ feet$

Thus one cubic yard is equal to 27 cubic feet

Therefore, there are 27 cubic feet in one cubic feet

8 0

3 years ago