Answer:
EF = 31
Step-by-step explanation:
Note that in both line segments (EG & FG), they both have point G in them. This means that point G is the shared point and the mid-point. Add the two line segments together to get the full segment.
EG + FG = EF
19 + 12 = 31
31 is your answer
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Answer:
$10,000
Step-by-step explanation:
You can define a variable that represents the answer to the question: the amount invested at 3.5%. Let's say that is x. Then the amount invested at 5% is 16000-x, and the total interest earned is ...
0.035·x + 0.05·(16000 -x) = 650
-0.015x +800 = 650 . . . . . . . . . . . . simplify
-0.015x = -150 . . . . . . . . . . . . . . . . . subtract 800
x = 10,000 . . . . . . . . . . . . . . . . . . . . divide by -0.015
The amount that should be invested at 3.5% is $10,000.
Trust me, it's really easy!
break apart the shape (In 3D, I assume.) there should be 6 breaks apart. The top, bottom, and four sides. After you find the area, (Base x Base x Height for the 4 sides, and Side x Side for the top and the bottom of the figure.) Then you add all of them up, and there's the surface area! If you need more help, message me, I'd be glad to help.
Answer:
y = 0.5sin(4x)
Step-by-step explanation:
y = A sin(B(x + C)) + D
amplitude is A = 0.5
B = 2π/period = 2π / (1/2 π) = 4
phase shift is C (positive is to the left) = 0
vertical shift is D = 0
The measure of m<CBD is 63 degrees
<h3>Circle Geometry</h3>
According to line geometry, the sum of angles on a straight line is expressed as:
arcCD + m<CBF = 180
Given that
arcCD= 5x + 3 and;
m<CBF = 11x - 15
Substitute
5x + 3 + 11x - 15 = 180
16x - 12 = 180
16x = 192
x = 12
Determine the measure of m<CBD
m<CBD = arc CD = 5x + 3
m<CBD = 5(12) + 3
m<CBD = 63 degrees
Hence the measure of m<CBD is 63 degrees
Learn more on circle geometry here; brainly.com/question/24375372
