Answer:
A true
Step-by-step explanation:
Rectangles have parallel sides and 90 degree angles.
Squares have parallel sides and 90 degree angles and equal length sides
Square are a subset of rectangles
All squares are rectangles
Since the triangle is an equilateral triangle we know all of it's sides must be the same length, with that in mind the angles that make up the triangle must be equal as well. Knowing that a triangle's three interior angles make up 180 degrees we know that the size of each angle must be one third of this (as each angle must be equal).
180/3 = 60
then we may split the triangle along it's altitude into two special right triangles
more specifically two 30-60-90 triangles.
this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"
this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.
12= x*sqrt(3)
12/sqrt(3)=x
4sqrt(3)=x (simplifying the radical we get "x" equals 4 square root 3)
now we may solve for the side length of the triangle which is "2x"
2*4sqrt(3) -> 8sqrt (3)
eight square root of three is the answer.
Answer:
The area of one slice of pizza is 18 in²
Step-by-step explanation:
First we have to know that the 360 ° representing the circle expressed in radians are expressed as 2π
Now we must calculate the area of the circle
a = π * r²
a = π * (12in)²
a = 144π in²
Now that we have the area of the circumference we multiply it by (π/4) / (2π)
144π in² * (π/4) / (2π) =
144 in² * 1/8 =
18 in²
The area of one slice of pizza is 18 in²
The amount that you should be willing to rent an additional oven when the order size is 1 dozen cookies is the amount that is less than the profit of producing those cookies.
<h3 /><h3>What amount should be paid to rent an additional oven?</h3>
The dozen cookies that Kristen’s Cookie Company are about to make are an additional order which means that they do not have the ovens to make it.
They will therefore have to rent an additional oven. If they did this, the amount they pay for the additional oven should not give them losses. They should therefore rent the oven at a cost that is less than the profit they will get for the additional 1 dozen cookies.
Find out more on accepting additional orders at brainly.com/question/25811981.
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Answer:
Fixed rate is $60.
Step-by-step explanation:
Let us consider per student charge be 'x'.
Let us consider fixed rate be 'b'
Given:
I rent a gym for $150 for 30 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
Also Given:
another time I rent the gym for $270 for 70 students.
So we can say that;
Total amount is equal to sum of number of students multiplied by per student charge and fixed rate.
framing in equation form we get;
Now we will subtract equation 1 from equation 2 we get;
Dividing both side by 40 we get;
Now we will substitute the value of x in equation 1 we get;
So we can say that the equation can be written as;
Hence we can say that fixed rate is $60 and per student charge is $3.
