Answer:
c = 73
Step-by-step explanation:
We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.
The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.
B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106
b and c are supplementary (they fall in a line and thus add up to 180 degrees). So
106 + c = 180
c = 180 - 106 = 74
<em>Looking at the answer choices, c is given as 73, which is wrong! Hence, </em><em>last statement is not true.</em>
The volume of the pyramid with the given length, width and height is 165in³.
<h3>What is the volume of the pyramid?</h3>
The volume of a right rectangular pyramid is expressed as;
V = ( L × W × H ) / 3
Given that;
- Length L = 11in
- Width W = 9in
- Height H = 5in
We substitute into the equation above.
V = ( L × W × H ) / 3
V = ( 11in × 9in × 5in ) / 3
V = 495in³ / 3
V = 165in³
The volume of the pyramid with the given length, width and height is 165in³.
Learn more about volume of pyramid here: brainly.com/question/17615619
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6*6-(3*3)-(2*2) is the answer
Answer:
19c-2
Step-by-step explanation:
photomath
<h3>
Answer: choice F) 12 & 1/2 square yards.</h3>
=====================================================
We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
Let's convert the first mixed number to an improper fraction
a & b/c = (a*c + b)/c
3 & 3/4 = (3*4 + 3)/4
3 & 3/4 = 15/4
Repeat the same idea for the second mixed number as well
a & b/c = (a*c + b)/c
3 & 1/3 = (3*3 + 1)/3
3 & 1/3 = 10/3
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In short we have
- 3 & 3/4 = 15/4
- 3 & 1/3 = 10/3
Doing these conversions is useful to be able to multiply the values like so:
(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2
Now use your calculator to find that 25/2 = 12.5
We can then say....
12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2
The answer is choice F) 12 & 1/2 square yards.
