Answer: the tree is 49.25
Step-by-step explanation:
The height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
What is angle of elevation?You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.
For this case, referring to the attached figure below, we get:
Angle of elevation =∠ACB=44°
Distance of the base of the tree from the point of the ground = 51 feet
Height of the considered tree = h feet (assume).
Angle ACB denotes internal angle made by AC and CB line segments). It is the angle of elevation here, taking BC as horizontal line, and AC as elevated line.
Then, using the tangent ratio from the perspective of angle ACB, we get:
tan44°= h/51
h= 0.9657×51
h= 49.2507 feet
Therefore, the height of the considered tree if the point on the ground is 91 feet from the tree is 49.2507 feet approximately.
Learn more about tangent ratio here:
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A bicycle tire has a radius of 26 inches. How many revolutions will this tire make if the bicycle is pedaled 1 mile? (Use 3.14 for π and 1 mile = 5280 feet).
please help this is for my finalllll
Answer:
K= J-5
Step-by-step explanation:
Answer:
K=J-5
Step-by-step explanation:
First we have K+5=J, but we need to find K.
Move K to the other side of the equation, change the sign to subtraction, the opposite of addition, and there you have it!
K=J-5
Hope this helps!
--Applepi101
What is the length of /AB?
Answer:
[tex]\sqrt{53}[/tex]
Step-by-step explanation:
PLEASE HELPPPPP I NEED TO PASS SUMMER SCHOOL
Answer:
c
Step-by-step explanation:
used socratic
will give brainliest to correct answer
Answer:
A = 5
B = -13
C = 7
Step-by-step explanation:
The general formula of quadratic equation is ax^2+bx+c.
Can U pls Help Me pls
Answer:
angle x= 60
so it is in the ratio 1:2:√3
√3x=3
ie.x=√3/3
adjacent side=x=√3/4
Step-by-step explanation:
everything can be found in the picture
8. Ethan has $63 in his bank account at the
end of June. During the month of June, he
deposited $285 and wrote cheques for $85,
$41, and $9. As well, he withdrew $75
from a bank machine.
a) Write an integer to represent the
value of Ethan's bank account at
the beginning of June.
Answer:
-$12
Step-by-step explanation:
Working backwards from the $63, you need to add back what was withdrawn and subtract what was deposited.
63+75+9+41+85-285= -$12
work out the m and c for the line: y=x-7
Answer:
Step-by-step explanation:
Compare the given y = x - 7 to the general slope-intercept formula
y = mx + b
Here the slope is 1 and the y-intercept, b, is -7.
Answer:
Step-by-step explanation:
Slope - y intercept form : y = mx +c
y = x - 7
m = 1
c = -7
Please helpppp i have a test tomorrow the problem is in the picture below
Answer:
yes
Step-by-step explanation:
Find the range of the data.
The ages of kids playing at a park.
4, 1, 3, 9, 6, 3, 2, 4
Range: [?]
Answer:
8
Step-by-step explanation:
Range is found by taking the largest number and subtracting the smallest number
The largest number is 9
The smallest number is 1
9-1 =8
The range is 8
Answer:
8
Step-by-step explanation:
Range = highest value - lowest value
Range = 9 - 1
Range = 8
!!!!!!!!!PLEASE HELP!!!!!!!!
Answer: D
Step-by-step explanation:
We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.
Answer:
option 4
Step-by-step explanation:
what is the correct answer
Step-by-step explanation:
you tu tubless
ar vi ing
..............
Which expression has the largest value? Each has as a factor. A 92 × 38\ \ \frac{9}{2}\ \times\ \frac{3}{8} 2 9 × 8 3 B 1089 × 38\frac{10}{89}\ \times\ \frac{3}{8} 89 10 × 8 3 C 123 × 381\frac{2}{3}\ \times\ \frac{3}{8}1 3 2 × 8 3 D 278 × 382\frac{7}{8}\ \times\ \frac{3}{8}2 8 7 × 8 3
Answer:
if your in high school why you need the answer
Step-by-step explanation:
t f
hi i am a boy that does math at school
Which expressions are equivalent to One-half + 3 c + StartFraction 4 Over 5 EndFractionCheck all that apply.
Answer:
(13+30c)/10
Step-by-step explanation:
Given the expression;
1/2 + 3c + 4/5
Find the LCM
= 5(1)+10(3c)+2(4)/10
= (5+30c+8)/10
= (13+30c)/10
Hence the required sum is (13+30c)/10
The average time it takes to travel from home to school is 22 ½ minutes. Depending upon weather and morning traffic, the actual time on a given day can vary up to 5 ½ minutes.
Answer:
[tex]17 \le t \le 28[/tex]
Step-by-step explanation:
Given
[tex]t = 22\frac{1}{2}[/tex] --- average time
[tex]\triangle t = 5\frac{1}{2}[/tex] --- the variation
Required
The inequality to represent the scenario
To do this, we simply add and subtract the variation from the average time.
i.e.
[tex]t \± \triangle t[/tex]
So, the inequality is:
[tex]22\frac{1}{2} - 5\frac{1}{2} \le t \le 22\frac{1}{2} + 5\frac{1}{2}[/tex]
Solve:
[tex]17 \le t \le 28[/tex]
help plssss! i’m rly struggling in geometry
Answer:
i don't know
Step-by-step explanation:
fffgg
What is the domain of the relation
graphed below?
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
wala muna akung ma explantion hahah sore
Determine the domain of the following graph:
Answer:
-10<x<6
Step-by-step explanation:
Find where x starts and where x ends
help w this questionn ^^
Answer:
BC = 8 cm
Step-by-step explanation:
tan(x) = sin(x)/cos(x)
sin(x) is the opposite side of the angle x.
cos(x) is the side with a right angle to sin(x).
2 = 12/EC
EC = 12/2 = 6 cm
=>
CD = ED - EC = 10 - 6 = 4 cm
now, the same tan(x) relation had to be true for BCD.
tan(x) = BC/CD
2 = BC/4
BC = 8 cm
Please help thank you! Brainliest
Answer:
D
Step-by-step explanation:
(-32÷4)^2 -9 + (-7)
=(8)^2 -9 + (-7)
Help me please. NO LINKS
Answer:
A. 7986.45
[tex] \frac{4}{3} \pir3[/tex]
I really need help with this problem
Answer:
Measure of angle K is 52.5 degrees
Step-by-step explanation:
Here, we have a case of two sides being congruent
mathematically when two sides are congruent, then we have an isosceles triangle
For an isosceles triangle, the base angles are equal
LM faces K , while M faces KL
What this mean is that L faces KM
From above, we can see that K = M = ?
Let us call this x
Mathematically, the sum of angles in a triangle is 180 degrees
75 + x + x = 180
2x = 180-75
2x = 105
x = 105/2
x = 52.5
easy question but need answer quick!!
Answer:
Step-by-step explanation:
Step 1: Find slope of Linear function A
[tex]slope = \frac{y_2 - y_1}{x_2-x_1} = \frac{-5--1}{-4--2} = \frac{-5 +1}{-4+2} = \frac{-4}{-2} = 2[/tex]
Step 2 : Find slope of B
Since they are perpendicular to each other, product of their slope = -1
That is,
[tex]m_A \times m_B = - 1\\2 \times m_B = -1\\\\slope, m_B = \frac{-1}{2}[/tex]
Given the function passes through (4, -6)
Equation of the linear function :
[tex]x_3 = 4 \ , \ y_3 = -6\\\\(y - y_3) = m_B (x - x_3)\\\\(y - -6) = -\frac{1}{2} (x - 4)\\\\y + 6 = -\frac{1}{2}x + 2\\\\y = -\frac{1}{2}x + 2 - 6 \\\\y = -\frac{1}{2}x -4[/tex]
Part B
Linear Function is parallel to B
Therefore the slope of B and slope of C are the same. And the equation will be of the form :
[tex]y = -\frac{1}{2} x + C[/tex]
Samantha places a mirror on the ground between herself and an apartment building and
stands so that when she looks into the mirror, she sees the top of the building. The center of
the mirror is 1.22 meters from her feet and 7.32 meters from the base of the building.
Samantha's eye is 1.82 meters above the ground. How tall is the building?
Answer:
The correct solution is "10.92 meters".
Step-by-step explanation:
The given values are:
Center of the mirror,
= 1.22 meters
Base,
= 7.32 meters
Samantha's eye,
= 1.82 meters
Let the height of the building will be "x".
Now,
The height of the building will be:
⇒ [tex]\frac{1.82}{x} =\frac{1.22}{7.32}[/tex]
By applying cross-multiplication, we get
⇒ [tex]x=\frac{1.82\times 7.32}{1.22}[/tex]
⇒ [tex]=\frac{13.322}{1.22}[/tex]
⇒ [tex]=10.92 \ meters[/tex]
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
Here are some cards with angles written on them.
45°
165°
5°
90°
102°
31°
53°
Moira picks one of the cards at random.
What is the probability that the angle on the card is greater than 100°?
the answer is 165 I think because I didn't understand the question
X
ſocm
Jicm
A) 2V5 cm
B) V13 cm
D) V19 cm
C) 1 cm
ASAP
Answer:
using pythagoras theorem
hyp 2=opp 2+adj 2
=( √6)(√6)+(√7)(√7)
hyp 2=13
hyp=√13
Given:
A right angle triangle with legs [tex]\sqrt{6}[/tex] cm and [tex]\sqrt{7}[/tex] cm. The length of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using the Pythagoras theorem, we get
[tex]x^2=(\sqrt{7})^2+(\sqrt{6})^2[/tex]
[tex]x^2=7+6[/tex]
[tex]x^2=13[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{13}[/tex] [Because side length is always positive]
The measure of hypotenuse is [tex]\sqrt{13}[/tex] cm.
Therefore, the correct option is B.
Nigel has 2 dogs. One eats 2 1/2 pounds of food each week. The other eats 1 3/8 pounds each week. Together how much food do the dogs eat in a week
whole part = 3
fractional part = 7/8
===========================================================
Explanation:
1/2 = 4/8
So the mixed number 2 & 1/2 is the same as 2 & 4/8
Adding on 1 & 3/8 will mean the fractional portions add to 4/8+3/8 = 7/8 and the whole number portions add to 2+1 = 3
Overall, the total amount eaten is 3 & 7/8 pounds
Answer:
27 1/8 pounds
Step-by-step explanation:
2.5 multiplied by 7 would be 17.5 and 1 and 3/8's by 7 would be 7 multiplied by 3 = 21/8 which would be 9 and 5/8's added up with the first 7 pounds
Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour.
Tori wrote this expression to determine the distance she would travel into outer space.
(3.21 × 103)(1.13 × 105)
Estimate the distance travelled.
Almost-equals30 × 1015 meters
Almost-equals3 × 108 meters
Almost-equals30 × 108 meters
Almost-equals3 × 1015 meters
Answer:
the answer is B
Step-by-step explanation:
smort :)
Answer:
bbbbbbb
Step-by-step explanation:
F(x)= x^2 . What is g(x)?