PLEASE HELP AND SHOW WORK PLS QUICK
Noah and Emma are standing on opposite sides of a 43.3 ft tree looking up at Noah’s cat, which is perched at the very top. They are separated by a horizontal distance of 100 ft. The distance from Emma to the cat is 50 ft and her angle of elevation to see the cat is 60°. The distance from Noah to the cat is 86.6 ft and his angle of elevation to see the cat is 30°.
(a) Identify three different trigonometric ratios that could have been used to find the distance x between Emma and the base of the tree. For each trigonometric ratio, determine the distance. Round to the nearest whole number.
(b) Use the Pythagorean theorem to find the distance x between Emma and the base of the tree. Round to the nearest whole number.
Answers
Step-by-step explanation:
This is an altitude hypotenuse problem.
Answer:
a) (100-x)/86.6 or x/50
b) 10,000 (86.6^2 + 50^2)
Step-by-step explanation:
To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle
So if you use the small triangle you use the angle of 60 degrees
You have your hypotenuse and you need to find your adjacent
So use cos(60)=x/50
Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6
for b, use (100-x)^2 = 86.6^2 + 50^2
50^2 = x^2 + 43.3^2
Related Questions
Solve the equation. u+3=7
Answers
Answer: 4
Step-by-step explanation:
u+3=7
u=7-3
u=4
Can someone please help me with these couple of questions!
Answers
Step-by-step explanation:
#44 y = 180-122 = 58
x = (180-58)/2 = 61
1000000000+1000000000
Answers
the height of the rectangular box is 4 times its width, and its length is 2 in more than its width. the volume of the box is 60in^3
Answers
Step-by-step explanation:
height= 4b
length = 2 + b
volume = 60in³
or, l ×b × h = 60in³
or, (2+b) × b × 4b = 60in³
or, 4b²(2+b) = 60in³
or, 8b² + 4b³ = 60
or, 2b² + b³ = 15
or, b³ + 2b² -15= 0
b= 1.95
l= 2+1.95=3.95
h= 4×1.95 = 7.8
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Answers
Answer:
a) red
b) red
c) the blue one is y=1/2x+1
Step-by-step explanation:
Which expression represents the perimeter of the following triangle?
Answers
2x + x + 2 + 2x - 1
= 5x + 1
lmk if you have any questions
The shape below is made of a semicircle and a triangle.
2)
16 cm
12 cm
Determine the area of this shape
Show your work
Please help me I will give 10 points
Please only correct answers
Answers
Answer:
32π + 96 [tex]cm^{2}[/tex] = exact area
196.48 [tex]cm^{2}[/tex] = area to the nearest 100th
Step-by-step explanation:
Area of semicircle = 1/2π[tex]r^{2}[/tex] = 1/2π[tex]8^{2}[/tex] = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 [tex]cm^{2}[/tex]
or 100.48 + 96 = 196.48 [tex]cm^{2}[/tex]
32π + 96 cm² = exact area
196.48 cm² = area to the nearest 100th
What is a semi-circle?A semicircle is a one-dimensional locus of points that makes up one half of a circle in mathematics. A semicircle's whole arc is always 180 degrees long. It just has one symmetry line.
Given
Area of semicircle = 1/2πr² = 1/2π(8)² = 1/2π(64) = 32π
Area of triangle = 1/2bh = 1/2(16)(12) = 96
Total area = 32π + 96 cm²
or 100.48 + 96 = 196.48 cm²
To know more about semi-circles refer to:
https://brainly.com/question/10653168
#SPJ2
Describe how you can find the number of solutions of two or more
equations by using the slope and the y-intercept. Use vocabulary terms in
your description.
Answers
Answer:
Suppose we have a system of two linear equations, this can be written as:
y = a*x + b
y = c*x + d
Now, we have 3 possible cases here.
The solutions of the system are the points where the graphs of the linear equations do intersect.
Then, if for example, we have two parallel lines (two parallel lines never intersect) we have no solutions.
And we know that two lines are parallel if they have the same slope and different y-intercept.
Then the system:
y = a*x + b
y = a*x + c
has no solutions.
If we have both equal lines, then the lines intersect in infinitely many points, meaning that we have infinite solutions, then the system:
y = a*x + b
y = a*x +b
has infinite solutions.
And if the lines intersect only one time we have one solution, and this happens when the slopes are different, so the system:
y = a*x + b
y = c*x + d
has only one solution.
Now, if we have more equations:
y = a*x + b
y = c*x + d
y = k*x + n
We have more equations than variables, then this system only has one solution of the 3 lines intersect at the same point, which is really rare.
One case where we have a solution here is if the 3 equations have the same y-intercept:
y = a*x + b
y = c*x + b
y = d*x + b
where the solution is the point (0, b)
Of course, there are other possible solutions, but these are not as formulaic as this ones.
PLLSSSSS HELPPPP I DONT GET THIS AT ALL
Answers
Answer:
[tex]y\leq 4[/tex]
Step-by-step explanation:
The range is about the y values, and by looking at this parabola we can see that the maximum value is a 4. So the range would be the maximum and below (where the parabola extends to). So the values in the range would be equal to 4 and less than since the parabola is negative.
Hope this helps :)
a
19 = 548 and a
33 = 968
Find a
27
Answers
Answer:
The value of a₂₇ is 788
Step-by-step explanation:
a₁₉ = 548
a₃₃ = 968
Now,
a₁₉ = 548 can be written as
a + 18d = 548 ...(1) and
a₃₃ = 968 can be written as
a + 32d = 968 ...(2)
Now, from equation (2) we get,
a + 32d = 968
a + 18d + 14d = 968
548 + 14d = 968 (.°. a + 18d = 548)
14d = 968 - 548
14d = 420
d = 420 ÷ 14
d = 30
Now, for the value of a put the value of d = 30 in equation (1)
a + 18d = 548
a + 18(30) = 548
a + 540 = 548
a = 548 - 540
a = 8
Now, For a₂₇
a₂₇ = a + 26d
a₂₇ = 8 + 26(30)
a₂₇ = 8 + 780
a₂₇ = 788
Thus, The value of a₂₇ is 788
-TheUnknownScientist
This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on the graph.
a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the nearest whole number.
b. Enter the approximate slope of the estimated line of best fit in the second box.
Answers
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation:
Can someone answer quick I really need help.
Answers
What the perimeter of the triangle
Answers
Answer:
24
Step-by-step explanation:
so multiplies see och the rest of the world and the second half and the other hand if you have a good and the second one is the only way only a and the other is the first time I saw one he and only best o
Answer:
33b-8 is the perimeter
Step-by-step explanation:
Triangle is an Isosceles triangle so two side is equal
2(12b - 8) + 9b + 8
Distribute
24b - 16 + 9b + 8
Combine like terms
33b -8
Can someone explain it to me?
Answers
9514 1404 393
Answer:
175.2 square feet
Step-by-step explanation:
The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.
It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.
Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.
LA = Ph . . . . perimeter times height
LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width
LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²
The lateral area of the prism is 175.2 ft².
__
The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.
At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.
Answers
Answer:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
Incomplete question:
[tex]\angle CBD = 53^\circ[/tex]
[tex]\angle CAB = 35^\circ[/tex]
[tex]AB = 75[/tex]
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line
[tex]\angle ABC + 53= 180[/tex]
Collect like terms
[tex]\angle ABC =- 53+ 180[/tex]
[tex]\angle ABC =127^\circ[/tex]
[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle
[tex]\angle ACB + 127 + 35 = 180[/tex]
Collect like terms
[tex]\angle ACB =- 127 - 35 + 180[/tex]
[tex]\angle ACB =18[/tex]
Apply sine rule
[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]
In this case:
[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]
This gives:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
sin18
∘
)
=
x
(sin35
∘
)
Step-by-step explanation:
Incomplete question:
\angle CBD = 53^\circ∠CBD=53
∘
\angle CAB = 35^\circ∠CAB=35
∘
AB = 75AB=75
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line
\angle ABC + 53= 180∠ABC+53=180
Collect like terms
\angle ABC =- 53+ 180∠ABC=−53+180
\angle ABC =127^\circ∠ABC=127
∘
\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle
\angle ACB + 127 + 35 = 180∠ACB+127+35=180
Collect like terms
\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180
\angle ACB =18∠ACB=18
Apply sine rule
\frac{\sin A}{a} = \frac{\sin B}{b}
a
sinA
=
b
sinB
In this case:
\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}
AB
sinACB
=
x
sinCAB
This gives:
\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}
75
(sin18
∘
)
=
x
(sin35
∘
)
What is the area of the octagon, rounded to the nearest square inch? 88 in.2 175 in.2 332 in.2 700 in.2
Answers
Answer:C
Step-by-step explanation:332 square in
Answer:
The answer is C, 332 in.2.
Step-by-step explanation:
Just did the unit test on edge. Hope this was able to help, have a good day <3 :)
Which of the following represents a sum from the expression given?
A. 21
B. 2
C. 13x2
D. 13x2 + 8x
Answers
1. If AD = 25, then BC =
2. If AB = 30, then DC =
Answers
Answer:
1. BC=25
2. DC=30
Step-by-step explanation:
In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.
lmk if im wrong, hope this helps :)
whats the answer for y=-[tex]\frac{2}{3}[/tex]x+4 and y=[tex]\frac{1}{3}[/tex]x-2
Answers
Step-by-step explanation:
[tex]y = -\frac{2}{3}x + 4[/tex]
[tex]y = \frac{1}{3}x - 2[/tex]
Since both equations are set equal to [tex]y[/tex], we can take the right-hand side of each equation and set them equal to each other to solve for [tex]x[/tex]:
[tex]-\frac{2}{3}x + 4 = \frac{1}{3}x - 2[/tex]
[tex]-\frac{2}{3}x - \frac{1}{3}x = -2 - 4[/tex]
[tex]-x = -6[/tex]
[tex]x = 6[/tex]
Now we can plug this value into either equation to solve for [tex]y[/tex]:
[tex]y = \frac{1}{3}x - 2[/tex]
[tex]y = \frac{1}{3}(6) - 2[/tex]
[tex]y = 2 - 2[/tex]
[tex]y = 0[/tex]
So the solution to the system of equations is [tex](6, 0)[/tex]
10 TIME REMAINING 52:28 A right triangle has a 30o angle. The leg adjacent to the 30o angle measures 25 inches. What is the length of the other leg? Round to the nearest tenth. 14.4 in. 21.7 in. 28.9 in. 43.3 in.
Answers
Answer:
14.4 in
Step-by-step explanation:
25 in is the longer leg so you have to do [tex]\frac{25}{\sqrt3}[/tex]
Answer:
14.4 on edge 2021
Step-by-step explanation:
There are 4 red marbles and 7 blue marbles in a bay.
(a) What is the ratio of all marbles in the bag to blue marbles?
(b) What is the ratio of all marbles in the bag to red marbles?
Answers
Answer:
a: 11:7
b: 11:
I hope this helped :)
b: the ratio of all marbles in the bag to red marbles is 11:4
Gary can raise his credit score by ________.
A
never borrowing money
B
keeping his debt above 30% of his credit card limit
C
cutting up his credit card
D
paying his bills on time
Answers
Answer:
B keeping his debt above 30% of his credit card limit.
Write an example of a Counter Variable
in python code
Answers
Answer:
printf(“%d”, i++);
Step-by-step explanation:
Answer:
count += 1
OR
count = count + 1
Step-by-step explanation:
count = 0
numbers = int(input("Enter a number: "))
while number > 0:
number = number // 10
count +=1
print("Total number of digits", count)
Consider the series 1/4 1/8 1/16 1/32 What is an expression of Sn for the series shown?
Answers
Answer:
c
Step-by-step explanation:
edg 21 ^u^
Answer:
The person above me is correct. :D
Step-by-step explanation:
The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?
Answers
Answer:
18.18%
Step-by-step explanation:
66 - 54 = $12
% change - 12/66 * 100
simplify - 12/66 --> 2/11
2/11 * 100
200/11
18.18%
Help me what is the total volume I’ll mark brainliest!
Answers
Answer:
600 ft
Step-by-step explanation:
Mark as brainilest
And I'm only 80% sure that is the correct
what is 64x6+27 written as a sum of cubes?
Answers
Answer:
To transform the given expression to the sum of cubes, calculate first the cube root of the terms. The cube root of the first term, 64x^6 is 4x^2 and that of the second term, 27 is 3.
Thus, the answer to this is (4x^2)^3 + 3^3
Can someone help ASAP ill give you good rating
Answers
Answer: radius is is 12.
Step-by-step explanation:
Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .
Sorry, I'm not sure on the bottom part
We know,
The general equation for circle is –
[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]
[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]
[tex] \bf r \: = \: radius [/tex]
[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]
[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]
[tex] \bf Radius \: = \: 12 [/tex] [Answer]
__________________________________________________
NOTE – Refer the above attachment.
__________________________________________________
uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it
Answers
Answer:
Step-by-step explanation:

A.5,8 and 4,5
B.5,8 and 4,3
D. 4,5 and 4,3
Please help
Answers
Answer:
b
Step-by-step explanation: