Answer:
.
Step-by-step explanation:
a.) 72 ÷ 8 × 9 = 81 (we divide 72 by 8 first then multiply the result with 9)
b.) -72 ÷ 8 × 9 = -81 (it's same with a only differ by negative sign)
c.) 72 ÷ (-8) × 9 = -81 (dividing 72 by -8 will give us -9 and multiplying -9 by -9 will give the result of -81)
d.) 72 ÷ 8 × (-9) = -81 (divide 72 by 8 and it will be 9, mutliply it by -9 and again it will give -81)
e.) -72 ÷ 8 × (-9) = 81 (divide -72 by 8 and it will be -9 multiplying it by -9 will give a positive 81 since two negative signed numbers multiplied or divided gives positive result)
Answer:
a =2.2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2
where a and b are the legs and c is the hypotenuse
a^2+2^2 = 3^2
a^2 +4 = 9
a^2 = 9-4
a^2 = 5
Taking the square root of each side
sqrt(a^2) = sqrt(5)
a = sqrt(5)
a=2.236067977
To the nearest tenth
a =2.2
162 is not a perfect square therefore you have to find the largest perfect square that can go into 162 which would be 81.
Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.
