Answer:
A
Step-by-step explanation:
-x + 2y = 8
5x + 2y = -4
+ x. -2y. -8
6x = -12
÷6. ÷6
x = -2
5(-2) + 2y = -4
-10 + 2y = -4
+10. +10
2y = 6
÷2. ÷2
y = 3
a) From where Jacob and his family have set up camp to the base of the mountain is 2,000 feet.
The angle of elevation formed from the campsite to the top of the mountain is 54. How tall
is the mountain?
b)
Jacob and his dad end up hiking up to the top. If the base of the mountain is 2.600 feet wide,
what is the total distance that Jacob and his dad hiked from their campsite to the top of the
mountain?
c)
From the top of the mountain, Jacob sees a building at an angle of depression of 24 to the
bottom of the building. How far away from the campsite is the building?
Answer:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Step-by-step explanation:
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54 degrees
Using SohCahToa, to calculate the height
Tan 54 = height/2000
Height = 2000 tan54 = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = root ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24 degrees while the height is 2752.8 feet
Using pythagorean theorem again
Tan 24 = 2752.8/distance
Distance = 2752.8/tan24
Distance = 6182.9 feet
The height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
What is Angle of Elevation?The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
A.) Given that the camp to the base of the mountain is 2,000 feet. And the angle of elevation is 54⁰
To calculate the height
Tan 54⁰ = height/2000
Height = 2000 X tan54⁰ = 2752.8 feet
B.) Given that the base of the mountain is 2600 feet wide.
Let use pythagorean theorem to find the slant length
Adjacent = 2600/2 = 1300 feet
Slant length = √ ( 1300^2 + 2752.8^2)
Slant length = 3044.3 feet
The total distance that Jacob and his dad hiked from their campsite to the top of the mountain will be
3044.3 + 2000 = 5044.3 feet
C.) Given that the angle of depression is 24⁰ while the height is 2752.8 feet
Using Pythagorean theorem again
Tan 24⁰ = 2752.8/distance
Distance = 2752.8/tan24⁰
Distance = 6182.9 feet
Thus, the height of the mountain for the following conditions are as follows:
A.) 2752.8 feet
B.) 5044.3 feet
C.) 6182.9 feet
Learn more about Angle of Elevation from:
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A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
I will give you all five stars ⭐⭐⭐⭐⭐
Answer:
omg really;O
Step-by-step explanation:
asapppp
What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answer: up, left, down, right
Step-by-step explanation:
because
Vito is a pitcher on his baseball team. This season he has allowed an average of 0.8 hits per inning pitched. If Vito pitcher 160 innings this season how many hits did he allow?
Answer:
200
Step-by-step explanation:
.8x = 160
you need to pay 8% tax on a car that costs $12,00. what will you end up paying in total?
Answer:
12960
Step-by-step explanation:
12,000 × .08 = 960
12,000 + 960 = 12,960
Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
What is the length of AR if the radius of the circle is 6 cm?
Step-by-step explanation:
[tex]arc \: length \: = \frac{theta}{360} \times 2\pi \: r \\ here \: theta \: = 105 \: degrees \: \: \: \: and \\ radius \: = 6 \: cm \\ on \: substituting \: the \: values \: in \: formula \\ = \frac{105}{360} \times 2\pi \: \times 6 \\ = \frac{105}{360} \times 12\pi \\ = \frac{105}{30} \times \pi \\ = 3.5 \times \pi \\ = 3.5 \times 3.14 \\ = 10.99 \\ arc \: length \: = 11.0 \: \: (approximately)[/tex]
How to solve this equation and check it. a - 2.5 = 4.5?
Answer:
Step-by-step explanation:
a - 2.5 = 4.5
2.5 = 2.5
a = 7.0 or 7
7.0 - 2.5 = 4.5
4.5 = 4.5
If the linear model applies the function f(x) = 1.3x + 9.2, what is the predicted value and residual
when the tree is 3 years old with a height of 14?
A) Predicted value: 13.1
Residual: 0.9
B) Predicted value: 11.8 Residual: 0.2
C) Predicted value: 15.7 Residual: 1.3
D) Predicted value: 18.3 Residual: 0.7
Answer:
A) Predicted value: 13.1 Residual: 0.9
Step-by-step explanation:
By definition:
residual = observed - predicted
The linear model is:
f(x) = 1.3x + 9.2
where f(x) is the height and x is the age of the tree.
Replacing with x = 3:
f(x) = 1.3(3) + 9.2 = 13.1 ft
which is the predicted value. The observed value is 14 ft, then:
residual = 14 - 13.1 = 0.9 ft
Which 2 numbers have a least common multiple of 36?
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
each Stone in Ali's collection weighs about 4 oz her collection way about 24 lb in all how many stones are in Ali's collection
Answer:
The answer is 96
Step-by-step explanation:
4 oz = 0.25 lb so 0.25*24 = 96
A spinner with the numbers 1 through 4 is spun as well as a coin is tossed. Display all possible outcomes as an organized list.
Answer:
I DONT KNOW
Step-by-step explanation:
Figure it out
need answer as soon as possible
Answer:
I think it would be 65 degrees
Step-by-step explanation:
If the side of Line q and line k is 115 degrees and its the same for line m and line k, then all you have to do is take 180 and subtract 115 from it to get the other side of the angle.
How many combinations of 6 students can a teacher choose from 30 students?
657,720
593,775
180
427,518,000
Answer: 593775
Step-by-step explanation: 30C6 =30x29x28x27x26x25 / 6x5x4x3x2x1 =593775
What are the solutions of 3x2 - x + 7 = 0?
Answer:
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184
Step-by-step explanation:
3x2-x+7=0
Two solutions were found :
x =(1-√-83)/6=(1-i√ 83 )/6= 0.1667-1.5184i
x =(1+√-83)/6=(1+i√ 83 )/6= 0.1667+1.5184i
The data below shows the scores of some students on a test:
32, 29, 21, 20, 26, 23, 28
Which box plot represents the data?
Answer:
Its the second one
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
42
Step-by-step explanation:
12+(5(12))/3
42
Answer:
42
Step-by-step explanation:
[tex]A = \frac{a+b}{2} h[/tex]
[tex]A = \frac{1+6}{2} 12[/tex]
[tex]A = \frac{7}{2}12[/tex]
[tex]A=7*6[/tex]
[tex]A = 42[/tex]
Find the area of the kite.
56 mm 2
40 mm 2
30 mm 2
80 mm 2
Answer:
30 mm 2
Step-by-step explanation:
The roof of a house is the shape of an isosceles right triangle as shown in the diagram below.
A right triangle is shown. An altitude is drawn from the right angle to the opposite side to form another right angle. The length of the altitude is h. The length of one of the sides is 10.
What is the height of the roof, h?
5 ft
5 StartRoot 2 EndRoot ft
6 StartRoot 3 EndRoot ft
StartFraction 5 StartRoot 2 EndRoot Over 2 EndFraction ft
Answer:
5 StartRoot 2 EndRoot ft its B
Step-by-step explanation:
The height of the roof is 5 StartRoot 2 EndRoot ft
Isosceles right triangleSince the triangle is isosceles, hence the base angles will be 45 degrees
Using the SOH CAH TOA identity;
Cos 45 = adj/hypGiven
Adj = hHyp = 10Substitute
Cos 45 = h/10
h = 10cos45
h = 10 * 1/√2
h = 5√2
Hence the height of the roof is 5 StartRoot 2 EndRoot ft
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
c2-3c-10c2+5c-14c2-c-2c2-15
Answer:
-13c4 - c3 - 15c2 - 12
——————————————————————
c2
PLEASE HELP!!! will give brainliest
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
Another angle math problem. I just don’t get it ♀️ Help please.
Answer:
68°
Step-by-step explanation:
Complementary = 90 - 22
When Lori was born she weighed 7 1/2 pounds. There
are 16 ounces in every pound. What was Lori's weight
in ounces? Solve this problem any way you choose.
Answer:
Lori weight in ounces is 120
Step-by-step explanation:
(7 x 16)+ (1/2 x 16) = 120
A garden table and a bench cost $910 combined. The garden table costs $60 more than the bench. What is the cost of the
bench?
Answer:
You could subtract 910 from 60 which would give you 850 and that would be your answer.
Step-by-step explanation:
Answer: $850
Step-by-step explanation: take 910 - 60
SOLVED
its 160
The table shows the number of mobile cellular subscriptions per 100 people in Australia for different years.
Year | Cellular subscriptions / 100 people
1993 | 4 12 25 33 57 72 90 101 101 108
1995 | 12
1997 | 25
1999 | 33
2001 | 57
2003 | 72
2005 | 90
2007 | 101
2009 | 101
2011 | 108
The quadratic regression equation using the years since 1990 for the input variable and the number of cellular subscriptions for the output variable is y=−0.107x^2+9.008x−28.851
What is the predicted number of cellular subscriptions per 100 people in Australia in 2030?
Round your answer to the nearest whole number. Enter your answer in the box.
Nvm its 160
Answer:
160
Step-by-step explanation:
x represents the years since 1990, so at 2030, x = 2030 - 1990 = 40. Replacing this value into the quadratic regression equation, we get:
y = -0.107(40)^2 + 9.008(40) - 28.851 = 160
which is the predicted number of cellular subscriptions per 100 people in Australia in 2030
Makayla has 90 minutes to answer 36 questions on a school survey. How many minutes per
question does she have?
Answer:
Makayla has 2 and a half minutes to answer each question.
Step-by-step explanation:
To get two and half you will have to divide 90 from 36 then you get 2 and a half minutes. hope this helps =D
By using division as mathematical operation,
Makayla need 2 and half minutes to answer each question
What is division?"The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in mathematics."
We have
Number of minutes to answer 36 questions = 90
We have to divide 90 by 36
= [tex]\frac{90}{36}[/tex]
= 2.5 minutes
Hence, By using division as mathematical operation, Makayla need
2 and half minutes to answer each question.
Learn more about division here
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