Answer:
$135
Step-by-step explanation:
first divide 36 by 8
gives you how much you earn for one hour
36/8=4.5
then multiply
4.5 by amount of hours worked
so 4.5*30=135
Answer:
d = 2(40.11 cm) = 80.22 cm
Step-by-step explanation:
The formula for volume of a sphere is V = (4/3)πr³
and here V = (4/3)πr³ = 2145 cm³
Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:
(3/4)(4/3)πr³ = (3/4)2145 cm³, or
r³ = 1608.75 cm³
Taking the cube root of both sides, we get:
r = 40.11 cm
Remembering that diameter = 2 times radius, we calculate the diameter:
d = 2(40.11 cm) = 80.22 cm
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40
Harry styles is always the answer
Answer:
The total change in square yards will be 9 sq. yards.
Step-by-step explanation:
Nien has a flower farm. He cuts 4 square yards of flowers one day and 5 square yards of flowers the next.
We have to use the addition operation to find the total change in the square yards.
Therefore, the total change in square yards will be (4 + 5) = 9 sq. yards. (Answer)