Answer:
B
Step-by-step explanation:
The figure is a trapezium with area (A) calculated as
A =
h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 8, a = 10 and b = 6, thus
A =
× 8 × (10 + 6) = 4 × 16 = 64 cm² → B
Number of applicants = 4500
Number of students accepted = 2300
Acceptance rate = 2300/4500 x 100
Acceptance rate = 51.11% (nearest hundredth)
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Answer: The acceptance rate is 51.11%.
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Answer:
3/8
Step-by-step explanation:
The spinner is separated into 8 sections.
3 of those are labeled A.
2 are labeled B.
2 are labeled C.
1 is labeled D.
This means there is a 3/8 chance of spinning an A.
Hope this helps! Please correct me if I'm wrong haha!
Answer:
The positive difference between 3.75 and 7.4 is 3.65
Step-by-step explanation:
to find the positive difference
subtract smallest number from the greater
(7.4)-(3.75)=3.65
<u>Given</u>:
Given that a circle O with two tangents BA and BC.
The major arc AC is 234°
The minor arc AC is 126°
We need to determine the measure of ∠ABC
<u>Measure of ∠ABC:</u>
We know the property that, "if a tangent and a secant, two tangents or two secants intersect in the interior of the circle, then the measure of angle formed is one half the difference of the measures of the intercepted arcs."
Hence, applying the above property, we have;
![\angle ABC=\frac{1}{2}( major \widehat{AC} - minor \widehat{AC})](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D%5Cfrac%7B1%7D%7B2%7D%28%20major%20%5Cwidehat%7BAC%7D%20-%20minor%20%5Cwidehat%7BAC%7D%29)
Substituting the values, we get;
![\angle ABC=\frac{1}{2}( 234^{\circ} -126^{\circ})](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D%5Cfrac%7B1%7D%7B2%7D%28%20234%5E%7B%5Ccirc%7D%20-126%5E%7B%5Ccirc%7D%29)
![\angle ABC=\frac{1}{2}( 108^{\circ})](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D%5Cfrac%7B1%7D%7B2%7D%28%20108%5E%7B%5Ccirc%7D%29)
![\angle ABC=54^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20ABC%3D54%5E%7B%5Ccirc%7D)
Thus, the measure of ∠ABC is 54°
Hence, Option b is the correct answer.