Angela spent $48.00 on a sweatshirt, a hoagie, and 2 books. The sweatshirt cost $18.95, and the hoagie cost $7.25. The books cost the same amount. How much did each book cost? not addition

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]

[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]

[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]

[tex]b=4.0187...[/tex]

[tex]b=4.0 m[/tex]

Now, we can use the Law of Cosines to figure out one of the acute angles:

[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]

[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]

[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]

[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]

[tex]C=39.3915...[/tex]

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

Answer:

There is no function table

Answer:i don't see the table cos

Step-by-step explanation:

Answer:

t = 6.5

Step-by-step explanation:

This is a Khan question

Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

Answer:

you can buy 4  star fruit

Step-by-step explanation:

All it is , is subtraction half of 8 is 4 and half of 16 is 8

Answer:

30 ft squared of border

Step-by-step explanation:

You need to find the area in order to find out how many feet she used.  Length x Width = Area

5x6=30 ft squared

Answer:

30 ft

Step-by-step explanation:

su

For the whole numbers:

24

26

23

25

21

46

63

57

75

91

1. 24 and 23.8

2. 26 and 25.7

3. 23 and 22.8

4. 25 and 24.8

5. 21 and 20.9

6. 46 and 46.3

7. 64 and 63.7

8. 56 and 56.5

9. 75 and 74.6

10. 91 and 90.7

When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.

If you have any further question, please reach out to me :)

Answer:

75 ft

Step-by-step explanation:

10 * 6 = 60

1/2 * 6 * 5 = 15

60 + 15 = 75 ft

Answer:

I think it's because an object with a greater mass requires a smaller force to accelerate.

Answer:

An object with a greater mass requires a greater force to accelerate.

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

a+a+a+a+b+b =4a+2b

Answer:

f(3)=7

Step-by-step explanation:

just plug in the number

f(3)=2×3+1

=7

Answer:

32% decrease

Step-by-step explanation:

Solution:

Calculate percentage change

from V1 = 25 to V2 = 17

so:

Answer:     800/17=47%          :-)

my math teacher Is helping me.

Answer:

13x+14

Step-by-step explanation:

because the original equation would be 5x(2)+3x+7(2) simplified would be 13x+14

Answer:

$33.95

Step-by-step explanation:

35*10%=3.5

35*7%=2.45

35-3.5=32.5

32.5+2.45=33.95

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

A=6a2

V=a3

Solving forV

V=6A3/2

36=6·253/2

36≈8.50517

v is approx. 8.51

hope it helps =) ♥

Answer:

Step-by-step explanation:

The simplest way to do this is to break in into parts

When you combine these two you get 8 * 10^8

Answer:

The radius of the arc is 5

Step-by-step explanation:

An arc is a part of the circumference of a circle that has been cut out. It can be best understood as an incomplete circle. The length of the arc is how long the arc is.

The formula relating how long the arc is with its radius is

length of arc = [tex]\frac{\theta}{360} \times 2 \pi R[/tex]

where R is the radius we are looking for.

Θ = 135 which can be seen as the arc angle

[tex]R =\frac{l \times 360}{\theta \times 2 \pi} =\frac{(15 \pi /4) \times 360 }{135 \times 2 \pi}=5[/tex]

The radius of the arc = 5

Answer:

5/3

Step-by-step explanation:

image/pre-image

15/9 simplified is equal to 5/3 which is the scale factor

Step-by-step explanation:

Given

sin(x) - sin(4x)

= 2 cos (( x + 4x)/2) * sin ( ( x - 4x) / 2))

= 2 cos 5x/2 • sin -3x / 2

= - 2 cos 5x/2 • sin 3x/2

Hope it helps :)❤

The sum sin(x) - sin(4x) can be written as a product as 2 sin (5x/2) cos (3x/2).

Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.

The main three trigonometric ratios are sine, cosine and tangent functions.

We have the trigonometric formula that,

sin A - sin B = 2 sin ([tex]\frac{A+B}{2}[/tex]) cos ([tex]\frac{A-B}{2}[/tex])

Here the sum is, sin(x) - sin(4x) where A = x and B = 4x.

sin(x) - sin(4x) = 2 sin ((x+4x)/2) cos ((x-4x)/2)

                       = 2 sin (5x/2) cos (-3x/2)

We also have, cos(-x) = cos(x).

So, sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2)

Hence the product form is sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2).

Learn more about Trigonometric Formulas here :

https://brainly.com/question/30661967

#SPJ2

Step-by-step explanation:

I hope that is useful for you :)

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

Answer: 32

Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps

Answer: x=32

Step-by-step explanation:

1/2x+4=20

      -4   -4

1/2x=16

Multiply by 1/2 on each side

x=32

Answer:

13/20

Step-by-step explanation:

Add up all the hours and then subtract by the total hours given.

Answer:

rate

Step-by-step explanation:

r(t)=d

r=d/t

r=miles/hour=mph

r=12

Answer: I THINK it’s d

Step-by-step explanation:

Answer:

expanded I believe or the first one good luck

Answer:

20

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

[tex]\frac{x}{4}-1=4[/tex]          {Add 1 to both sides}

 + 1   = +1

[tex]\frac{x}{4}[/tex]       = 5     {Multiply both sides by 4}

[tex]\frac{x}{4}*4=5*4\\\\[/tex]

x = 20