HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE
Answers
Answer:
HE=3
Step-by-step explanation:
Equations
With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.
Data:
HE=1/3 HG
HE=x-3
HG=4x-15
Replacing the last two equations in the first:
x-3=1/3(4x-15)
Multiply both sides by 3:
3(x-3)=4x-15
Operate:
3x-9=4x-15
Moving x's to the left and numbers to the right:
3x-4x=-15+9
Joining like terms:
-x=-6
Multiply by -1:
x=6
Since HE= x-3:
HE=6-3
HE=3
Answer:
x=24
Step-by-step explanation:
HE= 1/3(HG)
x-3=1/3(4x-15)
3x-9=4x-15
-x=-24
x=24
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The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 28 bricks is selected. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all the bricks in the sample exceed 2.75 pounds? (b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
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Answers
Answer:
The square root of 8 - 2√5 is
Step-by-step explanation:
To find the square root
8-2√5 must be in the form √a - √b where a > b
√ 8 - 2√5 = √a - √b
Square both sides
8 - 2√5 = (√a - √b)²
That's
8 - 2√5 = (a + b) - 2√ab
Since the two surd expressions are equal we can equate them
That's
8 = a + b ........ 1
a = 8 - b ........ 2
2√5 = 2√ab
Simplify
Divide both sides by 2
√5 = √ab
square both sides
We have
5 = ab ....... 3
Substitute a = 8 - b into equation 3
5 = ( 8 - b)b
5 = 8b - b²
b² - 8b + 5 = 0
After solving
b = 4 + √ 11 or 4 - √ 1
Since b is less than a
b = 4 - √11
a = 4 + √11
So the square root of 8 - 2√5 is
Hope this helps you.
Answer:
1.88
Step-by-step explanation:
8-2√5=3.527864045
square root of 3.527864045=1.87826090972
the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88
2. 8x + 80 = 4x + 120
Answers
Answer:
It is 2 because it is a math question with the factors on the multipulcation
Step-by-step explanation:
b) How many of these delegations have all men?
c) How many of these delegations have at least one woman?
Answers
Answer:
a) 5765760
b) 60480
c) 5705280
Step-by-step explanation:
Assuming that order is not important:
Number of women = 7
Number of men = 9
Members of the delegation = 6
a) How many delegations are possible?
b) How many of these delegations have all men?
c) How many of these delegations have at least one woman?
279%
37%
38%
Answers
Answer:
C.) 37%
Step-by-step explanation:
as a percentage is 37.5%
C. 37%
Answers
Answers
Answer: a) 2 miles
b) 4 miles
Step-by-step explanation:
There are two right angle triangles formed in the rectangle.
Taking 30 degrees as the reference angle, the length of the side walk, h represents the hypotenuse of the right angle triangle.
The width, w of the park represents the opposite side of the right angle triangle.
The length of the park represents the adjacent side of the right angle triangle.
a) to determine the width of the park w, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 30 = w/2√3
1/√3 = w/2√3
w = 1/√3 × 2√3
w = 2
b) to determine the the length of the side walk h, we would apply
the Cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = 2√3/h
√3/2 = 2√3/h
h = 2√3 × 2/√3
h = 4