Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C

Answer:

A. 11/12

Step-by-step explanation:

A. 11/12

B. 9/16

C. 1/12

D. 9/24

Cara = 8/12 candy bars

Marcus = 1/4 candy bars

What fraction of the candy bar did Cara and Marcus eat altogether?

Total candy bars = Cara + Marcus

= 8/12 + 1/4

= 8+3/12

= 11/12 candy bars

The correct answer is A. 11/12

Answer:

17460°

I hope it will be useful.

Answer:

There are [tex]35.74\ cm^2[/tex] of felt left over.

Step-by-step explanation:

The side of the felt square is 8 cm. A circle of radius 3 cm is cut from the square piece of felt.

The portion of felt leftover is the difference between the area of the square and the area of the circle.

The area of the square is:

[tex]A_s=(8\ cm)^2=64\ cm^2[/tex]

The area of the circle is:

[tex]A_c=\pi(3\ cm)^2=3.14*9\ cm^2[/tex]

[tex]A_c=28.26\ cm^2[/tex]

The remaining area of the piece of felt is:

[tex]A=64\ cm^2-28.26\ cm^2[/tex]

[tex]A=35.74\ cm^2[/tex]

There are [tex]35.74\ cm^2[/tex] of felt left over.

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

yes.

Step-by-step explanation:

The eqation of the line is y=1/2x+3 so when we plug in x as 20 y is equal to 13

Answer:

Yes it is on the line becuase if you find the slope of the line which is 1/2. We can just use rise over run from there. So we know 1 is y and 2 is x Becuase slope is written in y/x. And we can fins slope by just calculating the rise over run or suing the formula y2-y1/x2-x1. So the last pont shown on the line is (10,8) so we can add 1 to the y or in this case 8 and add 2 to the x or in this case 10. You’ll get (12,9). We know this works becuase if you find the slope of (12,9) and (10, 8), you’ll get 1/2 again which is the same slope so we know it’s right. Now we just add using the same slope to the now new point. We add 1 to 9 and add 2 to 12. (14,10). Still, if you find the slope, it’ll still be 1/2. Now keep repeating that and you’ll get (20, 13) eventually. And we can check by calculating the slope. (20,13) and (10,8), you could use any point on the coordinate plane/ and you’ll get 1/2. A easier way could just be calculating the slope first and you’ll get 1/2 from any two points and then use any two points to calculate the slope for (20,13). It’ll still be the same thing.

Hi

-7 - 2 + 6 = -9 + 6 = 6 - 9 = - 3

have a good day ;)

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

x [tex]\geq[/tex] -2

Step-by-step explanation:

Remove parentheses and distribute -4 and -9, calculate the difference,  move the variable and constant,  collect like terms. ( -2x [tex]\leq[/tex] 4), and divide both sides, and you'll end with -2.

Answer:

x > -2 (last choice)

Step-by-step explanation:

Using the distributive property multiple -4 to both integers

-24 - 20x - 7 < -18x - 27

-31 - 20x < -18x - 27

Add 27 on both sides

-4 - 20x < -18x

Add 20x on both sides

-4 < 2x

Divide each side by 2

x > -2

Answer:

11?

Step-by-step explanation:

Hope I'm right! (:

Answer:

11

Step-by-step explanation:

15 + 8 = 23

23 - 12 = 11

hope it's right

Answer:10

Step-by-step explanation:

x^2 + 8x - 4 = 0

(x^2 + 8x + 8/2^2) - 4 - 8/2^2 = 0

(x^2 + 8x + 16) - 4 - 16 = 0

(x^2 + 8x + 16) - 20 = 0

(x + 4)(x + 4) - 20 = 0

The number that is to be added to complete the square is 8/2^2, or 16.

Answer:

her score would be -22

Step-by-step explanation:

20-42=-22

9515 1404 393

Answer:

  2×5×11 = 110

Step-by-step explanation:

The factors are separated by the × (multiplication) sign. Common factors are numbers that are factors of both products.

It can be useful to list the factors in order of size, for easier comparison.

1st product:

  2 × 3² × 5² × 11 × 17

2nd product:

  2 × 5 × 7 × 11² × 13²

Ignoring exponents (for the moment), the numbers that appear in both products are 2, 5, 11. (I've highlighted them so you can see them more easily.)

Now, we consider the exponents. We want to determine the lowest exponent of each of these factors.

2 has the same exponent in both products: 1

5 has exponents of 2 and 1. The least of these is 1.

11 has exponents of 1 and 2. The least of these is 1.

So, the greatest common factor (GCF) is ...

  2¹ × 5¹ × 11¹ = 2×5×11 = 110 . . . . greatest common factor

(Comment on answer format: the given numbers are shown as a product of factors. It is not clear whether the desired answer format should match, or should have the value multiplied out. We have shown both ways.)

_____

Check

If we factor out the "greatest common factor," the given products can be written as ...

  (2×5×11) × (3² × 5 × 17)

  (2×5×11) × (7 × 11 × 13²)

You will notice that the right factors of each of these products have nothing in common. So, we have found the greatest common factor.

Answer:

AY = 16

IY = 9

FG = 30

PA = 24

Step-by-step explanation:

The centroid of the triangle divides each median at the ratio 1: 2 from the base

Let us solve the problem

In Δ AFT

∵ Y is the centroid

∵ AP, TI, and FG are medians

→ By using the rule above

∴ Y divides AP at ratio 1: 2 from the base FT

∴ AY = 2 YP

∵ YP = 8

∴ AY = 2(8)

∴ AY = 16

∵ PA = AY + YP

∴ AP = 16 + 8

∴ AP = 24

∵ Y divides TI at ratio 1: 2 from the base FA

∴ TY = 2 IY

∵ TY = 18

∴ 18 = 2

→ Divide both sides by 2

∴ 9 = IY

∴ IY = 9

∵ Y divides FG at ratio 1:2 from the base AT

∴ FY = 2 YG

∵ FY = 20

∴ 20 = 2 YG

→ Divide both sides by 2

∴ 10 = YG

∴ YG = 10

∵ FG = YG + FY

∴ FG = 10 + 20

∴ FG = 30

Answer:

2x + 7y and 7g + 3h

Step-by-step explanation:

(a)

3x + 5y - x + 2y ← collect like terms

= (3x - x) + (5y + 2y)

= 2x + 7y

(b)

3g + 5h + 4g - 2h ← collect like terms

= (3g + 4g) + (5h - 2h)

= 7g + 3h

Answer:

A) 2x + 7y

B) 7g + 3h

Step-by-step explanation:

A)   3x + 5y - x +2y =  

      3x - x = 2x

      5y + 2y = 7y                ans:   2x + 7y

B)   3g + 5h +4g - 2h =

     3g + 4g = 7g

     5h - 2h  = 3h                ans:   7g + 3h

Answer:

-a - b - 4c

Step-by-step explanation:

(a  - b)  -  (4a + 3c) - (c - 2a) = a - b - 4a - 3c - c + 2a

                                            = a - 4a + 2a  - b  - 3c - c  {Combine like terms}

                                            = -a - b - 4c

Answer: D. P * (1 + 0.272/12)¹² + 96 = P * (1 + 0.303/12)¹²

Step-by-step explanation:

Credit Card A deal over the course of a year:

Payments are done per month so values need to be converted to monthly figures.

APR per month = 27.2%/12

Period = 1 year * 12 months = 12

= P * (1 + 27.2%/12)¹² + 96

Credit Card B deal over a year

= P * (1 + 30.3%/12)¹²

The Principal that will enable both cards to offer the same deal will therefore be:

P * (1 + 27.2%/12)¹² + 96 = P * (1 + 30.3%/12)¹²

Answer:

The number is 83,194

Step-by-step explanation:

The value of 9 in the given number is 900

So

out of all the options, we want a number in which the value of 9 there is 1/10 of 900 which is 90

The correct answer here is 83,194

Answer: 48

Step-by-step explanation:

-10x+6y=54 then + it to each other

-6x-6y=-6

-16x=48

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

i multipled 3/5 by 3 cause 20 times 3 is 60

Step-by-step explanation:

Hey there!

Given;

The triangle is a right angled triangle, whose one side is 26 and another side is X. It has also one angle that is 41°.

Now, taking reference angle as angle 41°. We get;

Perpendicular= 26

Base = X

and Reference angle = 41°.

We know that the ratio of tan is p/b. So, let's use this ratio.

[tex] \tan(41°) = \frac{26}{x} [/tex]

[tex]0.869 \times x = 26[/tex]

[tex]x = \frac{26}{0.869} [/tex]

Therefore, The value of x is 29.90.

Hope it helps...

Answer:

Step-by-step explanation:

:(

Answer:

5=12

3=? then Criss cross it and you will get 12*3 divided by 5 then you get 7.2

so the answer will be 7 days

Answer:

2a

Step-by-step explanation:

up at the top is the answer

Answer:

y=2x-5

Step-by-step explanation:

Answer:

D. x-5 / x+4

Step-by-step explanation:

(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)

=-3x (x²-3x-10) / -3x(x²+6x+8)

=-3x(x+2)(x-5) / -3x(x+2)(x+4)

=x-5 / x+4

Answer:

oooooooof

Step-by-step explanation:

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

Answer:

When

eggs = 6, Potatoes = 15

Step-by-step explanation:

Ratio of egg to potatoes

Egg : potatoes

2 : 5

If she uses 6 eggs, how many potatoes will she need?

Eggs = 6

Potatoes = x

2 : 5 = 6 : x

2 / 5 = 6 / x

Cross product

2 * x = 5 * 6

2x = 30

x = 30 / 2

x = 15

When

eggs = 6, Potatoes = 15

Answer:

22º

Step-by-step explanation:

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation: