The values of x and y are 50 and 35 respectively.
The corresponding angles of similar triangles are equal. Therefore,
The first patio angles are:
x + 10
y + 15
70°
The second patio angles are ;
x + 20
50°
60°
Therefore,
x + 20 = 70
x = 70 - 20
x = 50
y + 15 = 50
y = 50 - 15
y = 35
The angle of elevation to a nearby tree from a point on the ground is measured to be
73°. How tall is the tree if the point on the ground is 28 feet from the tree? Round
your answer to the nearest tenth of a foot if necessary.
Answer:91.6
Step-by-step explanation:
The height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
The angle of elevation is given 73°. The distance between the point on the ground and the tree is 28 feet.
What is a trigonometric function?In mathematics, the trigonometric function is a function that deals with the sides of the right-angled triangle and angles.
sin, cos, tan, cosec, sec, and cot are the basic function of trigonometric.
We know that tan Ф = perpendicular / Base
tan 73° = h / 28
tan 73° × 28 = h
3.27 × 28 =h
h = 91.5 ft
Therefore, the height of the tree if the point on the ground is 28 feet from the tree is 91.5 ft.
Learn more about a trigonometric function;
brainly.com/question/6904750
I need the function for the volume of the box for number 1
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
original price of a cd is 12.50. what is the price with a discount of 39%
Answer:
original price of a cd is 12.50. what is the price with a discount of 39%
Step-by-step explanation:
Plz help solve them thank you in advance!
#1
[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]
#2
[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]
#3
[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]
#4
[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]
A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Reducing the angle to where the force is more in line with the direction of motion.
Step-by-step explanation:
Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.
Answer:
Decreasing the angle to 10
Step-by-step explanation:
Explain how I got this wrong please
Answer:
x = 9
Step-by-step explanation:
Each angle equals 60 since it is an equilateral triangle
7x-3 = 60
add 3
7x = 63
divide by seven on both sides
x = 9
I hope this helps!!
A computer and printer cost a total of $930 . The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
Computer: $620
Printer: $310
Step-by-step explanation:
c + p = 930
c = 2p
c = cost of the computer
p = cost of the printer
replacing the second eq. in the first eq.
2p + p = 930
3p = 930
p = 930/3
p = 310
from the second eq.
c = 2p
c = 2*310
c = 620
Check
from the first eq.
620 + 310 = 930
What is the volume of a cube that has a height of 10 inches?
10 inches
(3)
1,000 cubic
inches
40 cubic
inches
100 cubic
inches
600 cubic
inches
Daha
Step-by-step explanation:
since all sides of a cube have the same length (same principle as e.g. for a square), this means also the length and width are 10 in long.
the volume is therefore
10 × 10 × 10 = 1000 in³
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
please helpppppppppp
Answer:
the ANSWER IS D
Step-by-step explanation:
because its multiplication
Which situation is NOT a linear function?
A. A video subscription service which charges $7.99 a month
B. A factory worker that gets paid $19 an hour
C. A $350,000 house that depreciates 4% per year
D. A gym membership that charges $7 when joining, and $12 a month
Answer:
C
Step-by-step explanation:
If you take 4% away from 350,000, it equals 336000. Divide this number by 350000, and you get 96%, which makes sense. But, if you take 4% away from 336000, it equals 322560. If you take 322560 divided by 350000, it equals 92.16%. This proves it is not linear, because if it was linear, the ending percentage would be exactly 92% since you took away 4% twice.
It takes Steve 13 minutes to get to work every morning. Steve spends 48% of the time stuck in traffic on the drive. How many minutes does Steve spend stuck in traffic?
Answer:
6.24
Step-by-step explanation:
13 * .48
PLEASE HELP! WILL MARK BRAINLIEST!!!
AnswerAnswers in explaination
Step-by-step explanation
PART A ANSWER: equation 1) y=1155x+982 and 2) y+100x+1000 both have x model the number of years and y model the investment they made.
PART B answer: The two equations I solved for above
Part C: if she goes with the first plan and invest for 20 years she'll get 24082 dollars and if she invest in the second one she'll get 3000 dollars. As you can see there is a huge difference between the two
What is the range of this graph?
Answer:
I think the answer is (-3,1)
what is the answer
????
Answer:
The answer is 22 feet.hope you like answer
Answers please ASAP!!!
Emma and her 3 friends were thirsty so she shared 1/2 gallon of lemonade equally among 4 people. How much did each purdon get
1/8
1/4
1/2
4
Answer:
1/4
Step-by-step explanation:
its kinda hard to
explain
Define a equilateral triangle
Answer:
All sides are equal
Step-by-step explanation:
Think: equilateral is equal so this must mean that something on the triangle has to be all equal.
If EF = 2x + 5 and FG = x + 9, what is EF?
Answer:
2- × 5
Step-by-step explanation:
Someone please help me with this
Answer:
0.55=c
Step-by-step explanation:
0.55(2)=c
1.10=c
The total cost is $1.10
Find an equation of the line described. Write the equation in slope-intercept form when possible.
Through (-8, -7), perpendicular to the y-axis
The equation of the line is y=
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
Answer:
-7
Step-by-step explanation:
Because the step in puting slope is respectly (x,y)
Can anybody help ASAP please?
Answer:
statement 1) similar because of the shape
theorem 2)n to m
b) statement 1)similar because of shape
2)the two are triangle but the position has been changed
5(x-4)+?=+12x-21 what is the answer?
5(x-4) + ? = 12x - 21
5x - 20 + ? = 12x - 21
? = 7x -1
ok done. Thank to me :>
PLEASE HELP I BEG IMMA FAILLLLLLLLL
In the gift shop of the History of Flight museum, Elisa bought a kit to make a model of a jet airplane. The actual plane is 21 feet long with a wingspan of 17.5 feet. If the finished model will be 12 inches long, what will the wingspan be?
Answer:
2 inches make a foot, therefore the scale model is 1/21 the size of the actual if you're using the information given above. so the wingspan should be 10
Hope I Helped You:)
Find the surface area of the prism.
6.5 ft.
6 ft
8 ft.
5 ft
The surface area is
square feet.
Answer:
the BIG B (big base) is 2(5*6)*½ which is 30.
the bottom is 8*5 which is 40.
the sides are 8*6.5 which is 52 TIMES TWO becuase there is another WHICH IS 104.
30+40+104=174 SQUARE FEET
find three consecutive number whose sum shall equal 45
Answer:
14, 15, 16
Step-by-step explanation:
n + n+1 + n + 2 = 45
3n + 3 = 45
3n = 42
n = 14
14, 15, 16
Mrs. Yamamoto is taking her class to the theater. The total cost for the students' tickets is $55.
Let y represent the number of students in Mrs. Yamamoto's class. Which expression
renresents the cost of each ticket in dollars?
Answer:
look it up i need my coins
Step-by-step explanation:
Solve using elimination 5x+7y=9
2x-3y=-37
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
y=-4(5)x for x=2 Evaluate the problem
Answer:
y = - 100
Step-by-step explanation:
Assuming you mean
y = - 4[tex](5)^{x}[/tex] ← substitute x = 2
y = - 4[tex](5)^{2}[/tex] = - 4 × 25 = - 100
1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?
Answer:
1. Yes
2. Yes
3. No
Step-by-step explanation: