The height of the television set would be 21.6 inches to the nearest inch.
If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
We have been given that the television set is 36 inches wide and has a diagonal length of 42 inches.
Let b represent the height of the television set.
We will use the Pythagorean theorem;
36² + b² = 42²
1296 + b² = 1764
-1296. -1296
b² = 468
√ b² =√ 468
b = height
b = 21.6 inches
Therefore, the height of the television set would be 21.6 inches to the nearest inch.
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Answer:
Step-by-step explanation:
First of all we need to graph f(x)=8x, (First picture)
Now we have to calculate the area enclosed by the graph of the function, the horizontal axis, and vertical lines at and ,
The area that we have to calculate is in pink (second picture).
The function is positive and the domain isthen we can calculate the area with this formula:
,
In this case
The result of the integral is,
, but the integral is defined in [2,6] so we have to apply Barrow's rule,
Barrow's rule:
If f is continuous in [a,b] and F is a primitive of f in [a,b], then:
Applying Barrow's rule the result is:
How long would it take the pipe to fill a 2500 gallon pool?
4 h
8 h
10 h
25 h
Answer: 10 hours exactly.
Step-by-step explanation:
Answer:
10h
Step-by-step explanation:Every 4 hrs 1000 is dumped
2500/1000=2.5
2.5 times 4=10
b. Approximately 2758
c. Approximately 40
d. Approximately 70
The predicted value received on the exam when the percentage attendance is 70 is ( a. Approximately 63).
To find the predicted value of the exam score when the percentage attendance is 70, to use the regression equation provided:
Y = Intercept + Attendance × X
From the regression statistics that the intercept (Intercept) is 39.39027309 and the coefficient for percentage attendance (Attendance) is 0.340583573.
Substituting the values into the equation:
Predicted value = 39.39027309 + 0.340583573 × 70
Calculating:
Predicted value ≈ 39.39027309 + 23.84485711
Predicted value ≈ 63.2351302
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Answer:
c
Step-by-step explanation:
hope this helps hœ
(2,3)
(-3,-1)
(2, -1)
The coordinates of the vertices of the image after the 90-degree counter- clockwise rotation about the origin is :
To perform a 90-degree counterclockwise rotation about the origin, follow these steps:
This means that the vertices will become :
( 2 , 3) ⇒ ( - 3, 2 )
( - 3, -1) ⇒ ( 1, -3 )
( 2, - 1) ⇒ ( 1, 2 )
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Solve T = C(9+ AB) for B
Answer:
Simplifying
T = C(9 + AB) * forB
Reorder the terms for easier multiplication:
T = C * forB(9 + AB)
Multiply C * forB
T = forBC(9 + AB)
T = (9 * forBC + AB * forBC)
Reorder the terms:
T = (forAB2C + 9forBC)
T = (forAB2C + 9forBC)
Solving
T = forAB2C + 9forBC
Solving for variable 'T'.
Move all terms containing T to the left, all other terms to the right.
Simplifying
T = forAB2C + 9forBC
Step-by-step explanation:
Simplifying
T = C(9 + AB) * forB
Reorder the terms for easier multiplication:
T = C * forB(9 + AB)
Multiply C * forB
T = forBC(9 + AB)
T = (9 * forBC + AB * forBC)
Reorder the terms: