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kompoz [17]
1 year ago
10

If concrete was selling for $55.5 per cubic yard, how much did you spend to pave the sidewalk? (See 162 cubic feet.)

Mathematics
1 answer:
Troyanec [42]1 year ago
3 0

Given:

The volume of the sidewalk is 162 cubic feet.

In yards,

\frac{162}{3\times3\times3}=6\text{ cubic yards}

The selling price of concrete is $55.5 per cubic yard.

To find the amount that I spend to pave the sidewalk:

So,

6\times55.5=\text{ \$}333

Hence, the amount that I spend to pave the sidewalk is $333.

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If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
In the equation 5x-2=-x-20, What is the value of x?<br> a. 2<br> b. -1<br> c. -3<br> d. -2
mestny [16]

Answer:

C choice.

Step-by-step explanation:

5x - 2 =  - x - 20 \\

First, we move the same terms to the same side.

5x + x =  - 20 + 2 \\ 6x =  - 18

Then we move 6 to divide - 18.

x =  \frac{ - 18}{6}  \\ x =  - 3

7 0
2 years ago
Jackson eats 3/4 cup of food in the morning and 3/4 cup of food at night. How many cups of food does Jackson eat in 5 days
Sonja [21]

Answer:

Jackson eats 15/2 cups of food in 5 days.

Step-by-step explanation:

If Jackson eats 3/4 of food in the morning and at night then he eats 3/2 of food a day or 1.5 cups of food a day.

1.5*5 = 7.5

OR

3/2*5=15/2

Hope this helps!!

5 0
2 years ago
Read 2 more answers
Evaluate the expression. 2.15(3)2
Jet001 [13]

Answer: 12.9

Step-by-step explanation: When any number is in parenthesis, you multiply it by the other numbers/variables.

7 0
2 years ago
Read 2 more answers
Which undefined term is needed to define a circle?
Solnce55 [7]
A Point is needed to define a circle Hope this helps!!!
3 0
3 years ago
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