Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer:
Option C. Stem Leaves 6 7 7 2 5 8 5 7 9 9 9 0 9 10 0
Option D.
Step-by-step explanation:
The data values are 67, 72, 85, 75, 89, 89, 87, 90, 99 and 100.
Arranging the data values in ascending order
67, 72, 75, 85, 87, 89, 89, 90, 99, 100
The stem and lead plot can be shown under and stem is denoted as "S" whereas leaves are denoted as "L".
S L
6 7
7 2 5
8 5 7 9 9
9 0 9
10 0
The longer row of stem indicates the higher frequencies and so the length of rows are similar to the heights of bars in histogram.
Answer:
The measure of the third arc is 
Step-by-step explanation:
step 1
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
in this problem
Let
x----> the greater arc of the circle intercepted by the secant and the tangent
y----> the smaller arc of the circle intercepted by the secant and the tangent
----> equation A
-----> equation B
Substitute equation B in equation A and solve for y
Find the value of x
step 2
Find the measure of the third arc
Let
z------> the measure of the third arc
we know that
-----> complete circle
substitute the values and solve for z
Answer:
the one with the diameter of 64 is f
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² + 6x + 1 = 0
a = 1 , b = 6 , c = 1
