Isosceles triangle ABC, with AB=BC, has a height, DB, of 9 inches. Angle A measures 60 degrees. How long is AC?

A. 20 inches
B. 10.40 inches
C. 18 inches
D. 9 inches

Look at the attached picture

◖⚆ᴥ⚆◗

Answer: The answer is 31x+8y

Step-by-step explanation:

(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)

=10x+15y+21x+−7y

Combine Like Terms:

=10x+15y+21x+−7y

=(10x+21x)+(15y+−7y)

=31x+8y

Answer:

The homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

Compute the value of a and b as follows:

[tex]a=\frac{\sum Y\cdot \sum X^{2}-\sum X\cdot\sum XY}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(592\times 44909)-(591\times45227)}{(8\times44909)-(591)^{2}}\\\\=-14.316[/tex]                [tex]b=\frac{n\cdot \sum XY-\sum X\cdot\sum Y}{n\cdot \sum X^{2}-(\sum X)^{2}}\\\\=\frac{(8\times 45227)-(591\592)}{(8\times44909)-(591)^{2}}\\\\=1.195[/tex]

The linear regression equation that represents the set of data is:

[tex]y=-14.316+1.195x[/tex]

Compute the value of x for y = 68 as follows:

[tex]y=-14.316+1.195x[/tex]

[tex]68=-14.316+1.195x\\1.195x=68+14.316\\1.195x=82.316\\x=68.884\\x\approx 69[/tex]

Thus, the homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

The linear regression equation which models the relationship between homework grade and test grade and the predicted homework grade are :

Using technology, the linear model can be obtained using either excel or a linear regression calculator.

Using a linear regression calculator which gives the linear equation in the form :

y = 1.20x - 14.32

Using the model equation obtained :

y = 1.20x - 14.32

68 = 1.20x - 14.32

68 + 14.32 = 1.20x

82.32 = 1.20x

x = (82.32 ÷ 1.20)

x = 68.6

x = 69 (nearest integer)

Therefore, the estimated homework grade for a test score of 68 is 69

Learn more : https://brainly.com/question/18405415

Answer:

[tex]\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}[/tex]

Step-by-step explanation:

[tex]\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7[/tex]

Answer:

The independent variable is b and the dependent variable is l

Step-by-step explanation:

The independent variable is b and the dependent variable is l

The independent variable is the one you change, and the dependent variable is changed when you  alter the independent variable

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Step-by-step explanation:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).The line y = –8 is ✔ horizontalslantedvertical.The line perpendicular to the line y = –8 is horizontalslanted✔ vertical.The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is ✔ x = –4y = –4x = –2y = –2.

Answer:

144 cm

Step-by-step explanation:

P=4l

P=4*36

P=144 cm

Answer:

144 cm

Step-by-step explanation:

Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm

Answer:Wednesday

Step-by-step explanation:

Given

Sunday is considered as 0 day and

Monday as day 1 so Saturday must be considered as day 7

At the end of 155 days

i.e. [tex]\dfrac{155}{7}=22\times 7+1[/tex]

Up to  155 days there are 22 weeks and 1 extra day i.e.

There are 22 Mondays plus 1 extra day i.e. Tuesday

[tex]155^{th}\ \text{day is Tuesday and day after it is wednesday}[/tex]

Answer:

9x-2w+11y

Step-by-step explanation:

To find the perimeter, add up all the sides

7x-7w  + 2x+9y   + 2y+5w

Combine like terms

7x +2x    -7w +5w  + 9y+2y

9x-2w+11y

Answer:

[tex]2^{\frac{11}{2}}[/tex].

Step-by-step explanation:

We need to write the given expression with prime number base.

In question 7, part d.

The given expression is

[tex]8\sqrt{32}[/tex]

It can be rewritten as

[tex]2^3\sqrt{2^5}[/tex]

Using properties of exponents , we get

[tex]2^3(2^5)^{\frac{1}{2}}[/tex]

[tex]2^3(2^{\frac{5}{2}})[/tex]    [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]

[tex]2^{3+\frac{5}{2}}[/tex]    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]2^{\frac{6+5}{2}}[/tex]    [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2^{\frac{11}{2}}[/tex]

Here, base is 2 and it is prime number.

Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].

Answer:

7.5 square units

Step-by-step explanation:

Since one of the  bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!

Answer:

13.5

Step-by-step explanation:

Answer:

x=1, y= 7

Step-by-step explanation:

−5x+2y=9

y=7x

Substitute the second equation in for the first

-5x +2(7x) = 9

-5x + 14x = 9

Combine like terms

9x = 9

Divide by 9

9x/9 = 9/9

x =1

Now find y

y = 7(1)

y =7

Answer:

Step-by-step explanation:

-5x+2y=9

y=7x

Since you know what y is relative to x, you can plug it into the formula to find your answer.

-5x+2(7x)=9

14x-5x=9

x=1

y=7

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

Answer:

they do!

Step-by-step explanation:

2/9 / 1/3 = 3/6 = 1/3

So the proportion is 2 to 1

Answer:

a.............

........

Answer:

A.

Step-by-step explanation:

So the d in this case is 2. D is the number of kilometers Erica walked.

T is the vertical distance.

Find the right choice:

After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometers.

Answer:

f(2)=1/3

Step-by-step explanation:

x=3

f(sqrt(3+1))=1/3

f(sqrt(4))=1/3

f(2)=1/3

Answer:

6 OR 3. Read explanation

Step-by-step explanation:

12-(3*2)=12-6=6

But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.

12-(3^2)=12-9=3

Hope I patched up the holes. Good luck with homework :)

Answer: The area is 0.375 and the perimeter is 3.5

Step-by-step explanation:

The formula to find the area of something is length x width. So you have to multiply 1.5 x 0.25 which equals 0.375.

The formula to find the perimeter of something is length + width + length + width. (basically you have to add up all of the sides). I'm assuming the shape is a rectangle which means 2 sides have a length of 1.5 and the other 2 sides have a width of 0.25. So that means you would have to add 1.5 + 1.5 + 0.25 + 0.25 which equals 3.5

Answer:

Below in bold.

Step-by-step explanation:

Perimeter = 2 * length + 2 * width

= 2*1.5 + 2*0.25

= 3 .5 m.

Area = length * width

= 1.5 * 0.25

= 0.375 m^2.

Answer:

X = 13.2

Step-by-step explanation:

W = x

L = 2x + 6

A = 432in^2

x(2x + 6) = 432

2x^2 + 6x = 432

Answer:

x=13.2

Step-by-step explanation:

Answer:

Each one is $6.24

Step-by-step explanation:

You have to divide 24.96 by 4

Answer:12.5

Step-by-step explanation:

10 c of rice is 2.5x the recipe, so you just have to multiply 5 x 2.5 to the amount of beans.

Answer:

x(x - 7)(x^3 + 2)

Step-by-step explanation:

Note that x is a common factor here:

3x^5-7x^4+6x^2-14x  =  x(3x^4 - 7x^3 + 6x - 14), or:

x(3x^4 - 7x^3 + 6x - 14)     Note that 6x - 14 can be rewritten as 2[x - 7]

                                          and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]

Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:

x(x - 7)(x^3 + 2)

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

Answer:

8

Step-by-step explanation:

1. distribute -5a-15= -55

2. get rid of -15 by adding 15 to both sides of the equation

-5a=-40

3. divide each side by -5 to get a

a=8

Answer:

15% tip

Step-by-step explanation:

6/40= 0.15= 15%

Answer:

15% tip.

Step-by-step explanation:

you can divide $6 by $40. this will give you .15 or 15%.

Answer:

a lot of triangles

Step-by-step explanation:

hope this helps please give me brainiest

Answer:

In traditional power stations, the original energy source spins a turbine which connects to an electric generator. The generator converts mechanical energy into electrical energy. This working is based on which fundamental principle of physics?

A.

Newton’s law

B.

Ohm’s law

C.

Stoke’s law

D.

Faraday’s law

Step-by-step explanation:

Answer:

C = 3 √ 5

(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5

B √ 9*5 is true but not simplified.

We need to find a square numbers that divide into 45

We find 9

And show a * b = c

c= 45

so a * b = 9 * 5  = 3√ 5 is how we arrange this to simplify.

Step-by-step explanation:

The list is

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

We see there are 10 perfect squares 1-100

5 are 1-25

then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

Answer:

The sum is addition -----  11 is the answer

Step-by-step explanation: