The angle of depression from D to F measures 40°. If DE = 100 m, find DF. Round your answer to the nearest tenth.
Answers
Final answer:
The length of DF in the given triangle, found using the tangent function and the given angle, measurements is approximately 83.9 m.
Explanation:
From the problem, we understand that we have a right triangle, where angle D is 40°, and the side DE opposite this angle measures 100 m. Our goal is to find DF. In trigonometry, we use the tangent function to compare the opposite side of an angle to the adjacent side. So, to find the opposite side (DF), we can use the formula for the tangent of an angle, which is tan(angle) = opposite_side / adjacent_side.
Setting this up for our triangle, we have tan(40°) = DF / 100 m. Solving for DF, we multiply both sides by 100 m to get DF = 100 m * tan(40°). Calculating the tangent of 40° and multiplying by 100 gives us approximately 83.9 m.
Therefore, the length of DF is approximately 83.9 m, rounded to the nearest tenth.
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What is 2y+3=3 (y+7)
Which expression is equivalent
B. h=2A/b1+b2
C. h=A(b1+b2)/2
D. h=A-2/b1-b2
Answers
__________________________________________________________
Explanation:
Given: A = (½) * (b1 + b2) * h ;
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→Multiply EACH side of the equation by "2", to get rid of the fraction, "½";
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→ 2*A = 2 * (½) * (b1 + b2) * h ;
→ 2* A = 1 * (b1 + b2) * h ;
→ 2A = (b1 + b2) * h ;
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→ Now, divide EACH side of the equation by: "(b1 + b2)" ; to isolate "h" on one side of the equation;
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→ 2A / (b1 + b2) = [(b1 + b2) * h] / (b1 + b2) ;
→ 2A / (b1 + b2) = h ; ↔ h = 2A / (b1 + b2) ; which corresponds to:
"Answer choice: [B]" .
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Answer:
b
Step-by-step explanation:
h=2a/b1+b2
Answers
Answers
x = 13.2
y = 4.3
x = 13.2
-13.2 - 2y
y = 4.3
-x - 2 · 4.3
Lets solve:-
-13.2 - 2 × 4.3
-13.2 - (2 × 4.3)
-13.2 - 8.6
-21.8
So, when x = 13.2 and y = 4.3, -x - 2y = -21.8
Hope I helped ya!! xD
Answers
Answer:
B, 10+ /10 units
Step-by-step explanation:
Answers
Knowing that there are 4 quarts in one gallon, you can use this information to set up a proportion to find how many quarts are in 3 gallons. When you set up this proportion, you should get this where x is the amount of quarts:
4/1=x/3
Then, to solve for x, or your number of gallons, cross multiply:
1*x=4*3
When simplified, you should get that x=12, or that there are 12 quarts in 3 gallons :)
Final answer:
By multiplying the number of gallons by 4, we find that there are 12 quarts in 3 gallons.
Explanation:
The problem is asking how many quarts are in 3 gallons. Since there are 4 quarts in 1 gallon, you can simply multiply the number of gallons by 4 to find out how many quarts are in 3 gallons.
So, in calculation, 3 gallons * 4 quarts/gallon = 12 quarts. Therefore, there are 12 quarts in 3 gallons.
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cup olive oil
2 teaspoons cinnamon
Leon only has one teaspoon of cinnamon. How much olive oil will he need to use with this amount of cinnamon?
Answers
Answer:
1/6 cup of olive oil
multiply 2/3 by 1/2 to get your answer