Answer:
Part 1) The measure of x is 23°
Part 2) The value of y is 
Part 3) The value of z is 
Step-by-step explanation:
step 1
Find the value of x
we know that
------> by complementary angles
step 2
Find the value of y
In the right triangle of the figure
-----> adjacent side angle of 67 degrees divided by the hypotenuse
step 3
Find the value of z
In the right triangle of the figure
-----> opposite side angle of 67 degrees divided by the hypotenuse
The first question. 7/24
Explanation: first you need to get the fractions to the same denominator so you use lowest common multiples
The lowest common multiple of 8 and 3 is 24 so you times both 3 and 8 by 3 giving you 9/24 and then you times both 1 and 3 by 8 giving you 8/24
When you add these together you get 17/24 so the rest of that would be 7/24
Answer:
a. 70
b. £400
c. 80 meters
Step-by-step explanation:
a. 68 becomes 70 (1 sig fig)
b. £382 becomes £400 (1 sig fig)
c. 76m becomes 80 meters (1 sig fig)
Ugly, but true.
<span>Vr = L * W * h = 8 * 4 * 2.25 = 14.22 in^3 = Volume of rectangle
Vc = L * W * h = 0.25 * 0.25 * 0.25 = (0.25)^3 = 0.0156 in^3 = Volume of cube
Vr / Vc = 14.22in^3 / 0.0156in^3 = 910 cubes910 cubes are needed to fill the rectangular prism.
</span>
D) 1 1/4
She needs 1/4 to make 1 batch so multiply that by 5 (or add 1/4, 5 times) 5 * 1/4 = 5/4 = 1 1/4
