A 12-foot tree casts a 22-foot shadow. Find the angle of elevation from the tip of the shadow to the top of the tree. Round the answer to the nearest tenth.
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Answer:
A
Step-by-step explanation:
I just did it
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There is a closed carton of eggs in Mai's refrigerator. The carton contains "e" eggs and it can hold 12 eggs. What are some possible values of e that will make both e < 12 and e > 0 true?
Answers
The value of the variable x at y = 15 will be 200.
What is the solution to the equation?
The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
The equation is given below.
(1/5)x - (2/3)y = 30
Solve the equation for x, then we have
(1/5)x = 30 + (2/3)y
x = 150 + (10/3) y
The value of the variable x at y = 15 will be
x = 150 + (10/3) × 15
x = 150 + 50
x = 200
The value of the variable x at y = 15 will be 200.
More about the solution of the equation link is given below.
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Plug in 15 for y.
2/3 of 15 is 10.
Add 10 to each side.
Divide each side by 1/5.
(dividing by a fraction is the same as multiplying by its reciprocal...flip 1/5...×5)
(b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Please someone help
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Given that the distance of the ground is 9ft.
Length of the plank is 41 ft
In order to get the angle formed between the ground and the foot of the plank,
cos (theta) = ground / plank
cos (theta) = 9 / 41
cos (theta) = 0.21951...
theta = cos^-1(0.21951...)
theta = 77.3 degrees
(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
Height = square root (1600)
Height = 40
(A) 77.1 Degrees
(B) 40 feet
Answers
Answer:
The highest common factor would be 114
3876 = 2x3x3x17x19
114 = 2x3x19
Final answer:
The highest common factor (HCF) of 3876 and 114 is 6.
Explanation:
To find the highest common factor (HCF) of two numbers, such as 3876 and 114, we need to determine the largest number that divides evenly into both given numbers.
We can start by finding the prime factors of each number. The prime factorization of 3876 is 2 × 3 × 1,29, and the prime factorization of 114 is 2 × 3 × 19.
The common factors we can identify are 2 and 3, so the HCF of 3876 and 114 is 2 × 3, which is 6.
Learn more about highest common factor here:
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Answers
Answer:
The solution would be (6, -11)
Step-by-step explanation:
In order to solve this system by substitution, simply take the value of y in the first equation and use it in place of y in the second. This will allow you to solve for x.
x = -2y - 16
x = -2(-3x + 7) - 16
x = 6x - 14 - 16
x = 6x - 30
-5x = -30
x = 6
Now that we have the value of x, we can find the value of y.
y = -3x + 7
y = -3(6) + 7
y = -18 + 7
y = -11
Answer:
Here is the break down of the answer x=6 and y=-11
Step-by-step explanation:
Answers
4r-7r +8+ r
Answers
Answer:
-2r+8
Step-by-step explanation:
4r-7r+8+r
5r-7r+8
-2r+8
-2r+8
The first step is to combine like terms. These would be 4r, -7r, and r since they have the same variable. This gives you -2r. Since there are no other like terms to combine, you end up with -2r+8