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
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 1Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²
step 2find 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 3the 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 isthe area of the shaded region is 44.22 units²
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
Answer:
peters net income is 28,000
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.