Answer:
$20.44
Step-by-step explanation:
first solve for the whole thing
10 x 6 = 60
now to the red part
2 x 1.5 = 3
now the blue
r^2 * pi = a
2^2 * 3.14
4 * 3.14 = 12.56
now add red and blue
3 + 12.56 = 15.56
now subtract that sum from the whole
60 - 15.56 = 44.44
now do
44.44 / 10 = 4.444
now see how much it would cost for the grass
4.444 * 4.60 = 20.4424 ≈ 20.44
it would cost $20.44 to get the grass reseeded
y = 90°
Solution:
The reference image for the answer is attached below.
The sum of opposite interior angles is equal to the exterior angles.
m∠BAC + m∠ACB = 110°
m∠BAC + 70° = 110°
m∠BAC = 110° – 70°
m∠BAC = 40°
m∠BAD + m∠DAC = 40°
x + x = 40°
2x = 40°
Divide by 2 on both sides of the equation.
x = 20°
In triangle DAC,
Sum of all the angles of a triangle = 180°
m∠DAC + m∠ACD + m∠CDA = 180°
20° + 70° + m∠CDA = 180°
90° + m∠CDA = 180°
m∠CDA = 180° – 90°
m∠CDA = 90°
∠CDA and y lies on the straight line. So they form a linear pair.
y + m∠CDA = 180°
y + 90° = 180°
y = 180° – 90°
y = 90°
The value of y is 90°.
Answer:
A.)351 cubic inches
Step-by-step explanation:
The computation of the volume of the prism is shown below:
As we know that
Volume of the prism is
= Base × height
= 27 square inches × 13
= 351 cubic inches
hence, the first option is correct
And, the rest of the options are wrong
A. 16 is divisible by 2 but not divisible by 3
B. 23 is not divisible neither by 2 nor 3
C. 27 is not divisible by 2, however it's divisible by 3
D. 36 is divisible both by 2 and 3
So the only number we can focus on is 36:
36 ÷ 2 = 18
36 ÷ 3 = 12
36 ÷ 6 = 6
Answer: D, 36 supports the given conjecture.
1,000/40= 25 calculators
1,000/40.30=24.8
she can only buy 24 calculators all together
