Answer:
Step-by-step explanation:
When simplifying an exponent a way to do is to expand the exponent. This means that it will now be
Whenever you see an x or y on the numerator and denominator cross it out because it is the same thing as 1
When you cross out all of the x's and y's the only variable left is y in the denominator. This means that the answer is
Answer: The quadrilateral used here is a trapezium.
Answer:
The perimeter of the base of the birdhouse is 36 units
Step-by-step explanation:
<u><em>The complete question is</em></u>
Chase is building a birdhouse in the shape of a regular polygon. He knows that the measure of the interior angle is twice the measure of the exterior angle and the length of a diagonal that passes through the center is 12. What is the perimeter of the base of the birdhouse?
step 1
Find the measure of the interior angle
Let
x ---> the measure of the interior angle
y ---> the measure of the exterior angle
Remember that
the sum of the interior and exterior angle in any polygon is equal to 180 degrees
so
----> equation A
we have that
the measure of the interior angle is twice the measure of the exterior angle
so
----> equation B
substitute equation B in equation A
so
That means-----> The figure is a regular hexagon
step 2
Remember that
The length of the diagonal that passes through the center of the hexagon is equal to two times the length of the regular hexagon
Let
b ----> the length side of the hexagon
so
The perimeter of the hexagon is given by the formula
substitute
Answer:
5000 students appeared in the examination.
Step-by-step explanation:
We solve this question using Venn probabilities.
I am going to say that:
Event A: Passed in Mathematics
Event B: Passed in English.
5% failed in both subjects
This means that 100 - 5 = 95% pass in at least one, which means that
80% passed in mathematics 75% passed in english
This means that
Proportion who passed in both:
Considering the values we have for this problem
3000 of them were passed both subjects how many students appeared in the examination?
3000 is 60% of the total t. So
5000 students appeared in the examination.
Answer:
Y=500x+75
Step-by-step explanation: