Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m
Answer:
(-1,-5)
Step-by-step explanation:
Solve by substitution
Answer:
(2a + 1)(2a - 5)
Step-by-step explanation:
Given
4a² - 8a - 5
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the a- term
product = 4 × - 5 = - 20 and sum = - 8
The factors are + 2 and - 10
Use these factors to split the a- term
4a² + 2a - 10a - 5 ( factor the first/second and third/fourth terms )
= 2a(2a + 1) - 5(2a + 1) ← factor out (2a + 1) from each term
= (2a + 1)(2a - 5)
Answer:
y = -4x - 1
Step-by-step explanation:
x - 4y = 24
-4y = -x + 24
y = 1/4x - 6
m⊥ = -4
y = -4x + b
7 = -4 ( -2 ) + b
7 = 8 + b
b = -1
y = -4x - 1
Answer: 38
Step-by-step explanation:
- If P and Q are two different set the their difference is given by P-Q i.e. the number of elements in P bit not Q .
i.e. 
Let A be the number of students who correctly answered the first question and B be the number of students who correctly answered the second question .
Given : 
Then the number of students who answered the first question correctly, but not the second is given by :-
Hence, the number of students who answered the first question correctly, but not the second is 38.
