The length of the support post is 40 ft.
<u>Solution:</u>
Given, the height of the wall is 20 ft; support post forms 30 degree
Refer the attached image
Let us name the triangle as ABC where AB is the wall (opposite side) of 20 ft and 
is 30 degree (
) and AC is the length of the post.
To find: The length of the post (AC)
we know the formula, 
(trigonometric formula)
On substituting the values we get,
The value of sin 30 degree is 0.5
If the volume of the aluminum brick will be 2218.5 cubic cm. Then the approximate density of the aluminum will be 8.9 grams per cubic cm.
<h3>What is density?</h3>
Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass/volume
A brick of aluminum weighs 19,745 grams and has the following dimensions: length 29 cm, height 15 cm, and width 51 mm.
Then the approximate density of the aluminum will be
The volume of the aluminum brick will be
V = 29 x 15 x 5.1
V = 2218.5 cubic cm
Then the density will be
D = 19,745 / 2218.5
D = 8.900 gram per cubic cm
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Answer:
Step-by-step explanation:
Answer:
it is a linear function because the x value doesn't repeat
Step-by-step explanation:
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
The correct option is D.
<h3>What is a quadratic equation ?</h3>
A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
<h3>
According to the given information:</h3>
Total area = 7 square feet
and,
Total area = Length x Width
So,
7 = (2x + 3)(2x + 2)
7 = 4x2 + 4x + 6x + 6
7 = 4x2 + 10x + 6
4x2 + 10x + 6 - 7 = 0
4x2 + 10x - 1 = 0
Hence,
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
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I understand that the question you are looking for is:
Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. Which quadratic equation can be used to determine the thickness of the frame, x?
A. x² + 14x - 2 = 0
B. 2x² + 10x - 7 = 0
C. 3x² + 12x - 7 = 0
D. 4x² + 10x - 1 = 0
