Answer:
C. sqrt 39/8
Step-by-step explanation:
To solve this, we need to first draw the triangle.
cos Ф = adjacent / hypotenuse
cos A = 5/8 = adjacent / hypotenuse
From the diagram, when dealing with angle A, AB= hypotenuse = 8 and AC=adjacent =5
But when we are dealing with angle B , then BC becomes the adjacent and AC will now be the opposite, but AB still remains the hypotenuse, which implies, if we are looking for the value of COS B , we need to find side BC, we can easily do that using the Pythagoras theorem;
adjacent² + opposite² = hypotenuse²
adjacent² = hypotenuse² - opposite²
BC² = AB² - AC²
=8² - 5²
= 64 - 25
= 39
BC =√39
adjacent = √39 hypotenuse =8
cos B = adjacent / hypotenuse
cos B = √39 / 8
Answer:
1 5/6
Step-by-step explanation:
We first convert each mixed number to an improper fraction.
To change -6 7/8, we will ignore the negative at first. Multiply the whole number by the denominator:
6(8) = 48
Add the numerator:
48+7 = 55
Putting the negative back in, we have -55/8.
To change -3 3/4, ignore the negative at first. Multiply the whole number by the denominator:
3(4) = 12
Add the numerator:
12+3 = 15
Putting the negative back in, we have -15/4.
This gives us
-55/8 ÷ -15/4
To divide fractions, flip the second one and multiply:
-55/8 × -4/15
Multiply straight across:
(-55×-4)/(8×15) = 220/120
Simplifying this, we know that both 220 and 120 are divisible by 10; this gives us
22/12
Both 22 and 12 are even, so they are both divisible by 2. This gives us
11/6
6 will go into 11 one time, with 5 remaining; this gives us
1 5/6
Answer:
a. 4x = x × 4 while x⁴ = x × x × x × x
b. when x = 2, 4x = 8 and x⁴ = 16
Explanation:
i calculated the answers for b based on the equations in a by substituting 2 into x! hope this helps and you can comment if you need any clarification :D
Answer:
2 ounces are in 2 ounces
Step-by-step explanation:
Volume of a cylinder is calculated as pi x radius x radius x height
pi is 3.14
so volume = 3.14 x 6 feet x 6 feet x 12 feet = 1356.48 ft3
so the correct answer is C)1,357 ft3
