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egoroff_w [7]
2 years ago
12

Julio bought several books from the Coming-Around-Again Bookstore. He paid $31.80, including 6% sales tax. He then discovered th

at he should have been charged $2.50 instead of $4.00 for one of the books. How much should Julio have been charged, including tax?
A. 30.06
B.30.21
C.30.30
D.30.45
Mathematics
1 answer:
ladessa [460]2 years ago
5 0
C is the answer all you had to do was
31.80-4.00
Which is 27.80
Then add 2.50
Which is 30.3!
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
wel

Answer:

z=\frac{15\sqrt{3}}{2}

Step-by-step explanation:

In leftmost triangle:

opposite side =y

adjacent=a

now, we can use trig formula

tan(60)=\frac{y}{a}

now, we can solve for y

y=atan(60)

In rightmost triangle:

adjacent=b

opposite=y

a+b=15

b=15-a

now, we can use trig formula

tan(30)=\frac{y}{15-a}

now, we can solve for y

y=(15-a)tan(30)

now, we can set them equal

and then we can solve for a

atan(60)=(15-a)tan(30)

\sqrt{3}a\cdot \:3=\frac{\sqrt{3}\left(15-a\right)}{3}\cdot \:3

4\sqrt{3}a=15\sqrt{3}

a=\frac{15}{4}

now, we can find b

b=15-\frac{15}{4}

b=\frac{45}{4}

now, we can use trig formula

cos(30)=\frac{b}{z}

now, we can find z

z=\frac{\frac{45}{4}}{cos(30)}

we can simplify it

and we get

z=\frac{15\sqrt{3}}{2}


4 0
3 years ago
Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boa
Brums [2.3K]

Answer:

Option A is correct

it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Step-by-step explanation:

She want to build a right angle frame

Then to proof it is right angle, we will apply Pythagoras theorem to the sides of the rectangle,

Since the vertical height of board is 12ft

And, the horizontal length of board is 15ft.

Then the beam that support the two beams which also form the hypotenuse is give as

(beam support)²=(horizontal board)²+(vertical board)²

x²=12²+15²

x²=144+225

x²=369

x=√369

x=19.2ft

Then the beam support is 19.2ft

To get the angle of the beam support to the horizontal

Applying trigonometric

Tanθ=opposite / adjacent

Tanθ= vertical / horizontal

Tanθ=12/15

Tanθ=0.8

θ=arctan(0.8)

θ=36.7°

This shows that it is an acute triangle.

We are told that the support beam is 20ft but this is not true because the support beam is calculated to be 19.2ft,

So, 0.8ft must be removed from the 20ft support beam to create the right angle.

Then, the best option is a

we need to cut the support beam by approx 0.8 feet to make right angle between vertical board and horizontal board.

5 0
3 years ago
Help me plsss ill give ten pointsssss
Bond [772]

Answer:

A

Step-by-step explanation:

AE=EC

5x-10=2x+5

5x-2x=5+10

3x=15

x=5

6 0
3 years ago
Read 2 more answers
Please help me I don't understand!
Kobotan [32]
#3) since angle ABC is 115 degrees, to find EBC you simply have to subtract 115 from 90 and the answer is 25 degrees. 
#4)DGJ would be 30 degrees because you take 70 minus 40.
#5) a 90 degree angle. 
6 0
3 years ago
Read 2 more answers
Answer the question and explain your answer. I will be marking brainiest! If you have the correct answer and explain why it’s co
cestrela7 [59]

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle:  A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

7 0
3 years ago
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