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mina [271]
3 years ago
15

Solve using standard algorithm 57.03+2.08

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

59.08

Step-by-step explanation:

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Which of the following is the solution set of the given equation?<br><br> (x - 3) - 2(x + 6) = -5
Vlad1618 [11]

Answer: x=−10

Step-by-step explanation:

x−3−2(x+6)=−5

x+−3+(−2)(x)+(−2)(6)=−5(Distribute)

x+−3+−2x+−12=−5

(x+−2x)+(−3+−12)=−5(Combine Like Terms)

−x+−15=−5

−x−15=−5

−x−15+15=−5+15

−x=10

8 0
3 years ago
Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
3 years ago
How many 5 centimeter squares are needed to completely cover a 1 meter square without overlapping?
Feliz [49]
There are 100 centimeters in a meter 
100 divided by 5 is 10 
You need 10 5 centimeter squares to completely cover 1 meter square without overlapping 
5 0
3 years ago
Read 2 more answers
Peter is a college professor. His gross salary is
larisa [96]

Answer:

peters net income is 28,000

3 0
3 years ago
John Walters is comparing the cost of credit to the cash price of an item. If John makes a down payment of $160 and pays $35 a m
GREYUIT [131]

Answer:

The amount is $275 more that the cash price of $725.

Step-by-step explanation:

It is given that John makes a down payment of $160 and pays $35 a month for 24 months.

Down payment = $160

Total amount of installments = $35 × 24 = $840

Total amount of product = Down payment + Total amount of installments

Total amount of product = $160 + $840 = $1000

Cash price = $725

Difference between credit and cash price is

Difference = $1000 - $725 = $275

Therefore the amount is $275 more that the cash price of $725.

8 0
3 years ago
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