Answer:
71.764 feet
Step-by-step explanation:
See attached the rough sketch for your reference
Step one;
Given data
The angle of elevation= 25°
From the triangular diagram, we can see that the height of the church is the opposite, while the distance of the person from the church is the adjacent
Step two:
Applying SOH CAH TOA
tan∅= opp/adj
tan 25= opp/154
0.466= opp/154
cross multiply
0.466*154= opp
opp= height of church = 71.764 feet
Answer:
Step-by-step explanation:
-45x + 40
Factor out 5 from the expression.
5(-9x) + 5(8)
Take 5 as a common factor.
<u>5(-9x + 8)</u>
4w + 9( -6 - 3w)
Expand brackets.
4w + 9(-6) + 9(-3w)
4w - 54 - 27w
Combine like terms.
4w - 27w - 54
<u>-23w - 54</u>
Answer:
Step-by-step explanation:
this is a question about two similar triangles , one is from Amelia , the other is the tree.
1.5/4 = x/12
solve for x
4.5 = x
the tree is 4.5 meters tall
Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
D - 9,848,060
Step-by-step explanation:
In the number 9,848,060 the number 8 is in the hundred thousands place.
The number behind it is 4, which is nor equal to or more than 5, meaning that that the 8 stays the same.
