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3 years ago

What are the values of x and y?

Mathematics

1 answer:

DENIUS [597]3 years ago

6 0

Well they give you 70"and 75" all triangles 180" so 70+75-180=35"and that is all the big triangle complete now a flat line is also 180" so
35+78-180=67" and then you have a 90" angle too so you just have to 67+90-180=23" and to solve for x do the same thing... Again 23+90-180=67"
Y=23"
X=67"
Hope this helps;D

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10. Make Sense and Persevere The flag of the

kumpel [21]

Answer:

$s=\frac{P}{3}$
Dimensions of the flag:

$lenght=6.65\ ft\\\\width=3.5\ ft$

Area of the flag: $23.275\ ft^2$

Step-by-step explanation:

The missing figure of the exercise is attached.

We know that the perimeter of the triangle is given by:

$P= 3s$

Where "s" is the side lenght of the triangle.

Solving for "s", we get:

$s=\frac{P}{3}$

Therefore, if the perimeter of the triangle is 126 inches, its side length is:

$s=\frac{126\ in}{3}\\\\s=42\ in$

Since $1\ ft=12\ in$ , we know that "s" in feet is:

$s=(42\ in)(\frac{1\ ft}{12\ in})=3.5\ ft$

The area of a rectangle can be calculated with this formula:

$A=lw$

Where "l" is the lenght and "w" is the width

We can observe in the figure that the lenght and the width of the flag are:

$l=1.9s\\w=s$

Then, the dimensions of the flag are:

$l=1.9(3.5\ ft)=6.65\ ft\\w=3.5\ ft$

And the area is:

$A=(6.65\ ft)(3.5\ ft)=23.275\ ft^2$

3 0

3 years ago

Short Question : Is 900 grams heavy? Thank you for your time :)

melomori [17]

Answer:

No, 900 grams is 1.98416 Pounds

6 0

3 years ago

Read 2 more answers

G(-2, 5), H(6, 5), J(6, -1) 17. Find the coordinates of the centroid.

adell [148]

The coordinates of centroid are: (10/3, 3)

Step-by-step explanation:

The formula for calculating centroid of a triangle is:

$(x,y) = (\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3})$

Here (x1,y1) are the coordinates of first vertex

(x2,y2) are the coordinates of second vertex

(x3,y3) are the coordinates of third vertex

Given:

G(-2,5) = (x1,y1)

H(6,5) =(x2,y2)

J(6,-1) = (x3,y3)

Let I be the centroid of the triangle

Putting the values in the formula

$I(x,y) = (\frac{-2+6+6}{3},\frac{5+5+-1}{3})\\= (\frac{10}{3},\frac{9}{3})\\=(\frac{10}{3},3)$

The coordinates of centroid are: (10/3, 3)

Keywords: Centroid, Triangle

Learn more about centroid at:

#LearnwithBrainly

5 0

4 years ago

What sample size would be required to estimate the true proportion of American female business executives who prefer the title "

monitta

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{2.326})^2}=2164.1104$

And rounded up we have that n=2165

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p$ represent the real population proportion of interest

$\hat p$ represent the estimated proportion for the sample

n is the sample size required (variable of interest)

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

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

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by $\alpha=1-0.98=0.02$ and $\alpha/2 =0.01$ . And the critical value would be given by:

$z_{\alpha/2}=-2.326, z_{1-\alpha/2}=2.326$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

(b)

We can assume that the estimated proportion is 0.5 since we don't have other info provided to assume a different value. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{2.326})^2}=2164.1104$

And rounded up we have that n=2165

7 0

3 years ago

Identify the coeffecient and the exponent for each term of 6x^(3)-4x

stiv31 [10]

Answer:

Read the steps

Step-by-step explanation:

In the first term: 6x^3

leading coeffecient: 6

exponent: 3

In the second term: -4x

leading coeffecient: -4

exponent: 1

4 0

3 years ago