Answer:
d = 363/8
Step-by-step explanation:
Let's write this as a fraction:
8 1/4 2
------------- = -------
d 11
One way in which this could be approached would be to interchange 'd' and '2:'
8 1/4 d 33 d
------------- = ------- or -------- = ---------
2 11 4(2) 11
Multiplying both sides by 11 isolates d:
33(11) 363
-------- = d, or d = ----------
8 8
Answer:
20 percent decrease
Step-by-step explanation:
0.15 cents is 10 percent of 1.50, and that multiplied by 2 is 0.30 cents. 0.30 cents is equal to 20 percent, and the difference between 1.50 and 1.20 is 30 cents.
Answer:
8(15-m)
Step-by-step explanation:
By looking at the options, we can understand that the right one is 8(15-m), since we need to multiply the time by the number of question.
Also, we can check that result by arranging an equations usint the total time.
55 = 3m - 8(15-m)
55 = 3m - 120 + 8m
55 = 11m - 120
55 + 120 = 11m
175 = 11m
m = 175/11 = 15.91
55 = 3*15.91 - 8(15-15.91) = 47.73 - 120 + 127.28 = 55.01 ≈ 55
<h3>
Answer: Choice A. 8pi feet</h3>
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a =
=
·
= 2
2) b² + 5² = 6²
b² = 36-25
b = 
Base = 2
+ 
A = 1/2 x 5· (2
+
)
A = 2.5 · (2
+
)
A = 2.5(8.2)
A = 20.5