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Effectus [21]
3 years ago
10

Construct line AB 11cm and construct a perpendicular P from line AB 6cm​

Mathematics
1 answer:
Arisa [49]3 years ago
8 0
<h3>Step-by-step explanation:</h3>

let us drawn side AB11 cm

again let us drawn p from line AB 6 cm

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Write the equation of the line that passes through the point (5, -6.5) and is perpendicular to the following equation:
Maslowich
Explanation:
first find the slope m of the line passing through the

the 2 given points
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
1
,
3
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and
(
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2
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y
2
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6
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m
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−
3
−
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given a line with slope m then the slope of a line

perpendicular to it is
∙
x
m
perpendicular
=
−
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m
hence
m
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=
−
1
−
1
2
=
2
the equation of a line in
slope-intercept form
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∙
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x
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b
where m is the slope and b the y-intercept
here
m
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y
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x
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is the partial equation
to find b substitute
(
−
2
,
7
)
into the partial equation
7
=
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4
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⇒
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is the required equation
4 0
3 years ago
(20 pts!) if the base of the roof has length 40 feet and x=30, which of the following gives the height of the roof?
musickatia [10]

Answer:

23.094 ft approximately

(If you want your answer in a different format, let me know please.)

Step-by-step explanation:

I would have solve this using tangent since the side opposite to x is asked for and the adjacent side to side is given as having a measurement of 40 ft.

But I think they want you to use the formula:

l=\frac{b}{\cos(x)}.

l=\frac{40}{\cos(30)}

Input into calculator:

l=46.188 (approximation)

l represents the length of the roof.

So we have l=46.188 and b=40.

We must use the Pythagorean Theorem to find the height,h, for of the roof.

l is the hypotenuse.

h^2+40^2=46.188^2

h^2+1600=2133.331

Subtract 1600 on both sides:

h^2=533.331

Take square root of both sides:

h=23.094

The answer is 23.094 feet for the height that roof reaches on the building.

I want to show you another way:

\tan(x)=\frac{\text{opposite}}{\text{adjacent}}

\tan(30)=\frac{h}{40}

Multiply both sides by 40:

40\tan(30)=h

Input into calculator:

23.094=h

I didn't do it this way because your problem suggested you use their formula to find the height.

8 0
3 years ago
Read 2 more answers
Which number(s) below belong to the solution set of the inequality? Check all that apply.x + 16 &lt; 51.
natta225 [31]
If you subtract 16 on both sides... x will be alone. Therefore 51-16=35
x=35 (B)
5 0
3 years ago
A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note
Mariulka [41]

Answer:

The difference between their volumes is 237.375ft^3

Step-by-step explanation:

The attachment completes the question.

For cube 1:

s_1 = 8ft

For cube 2:

s_2 = 6.5ft

Required

The difference in their volumes

First, we calculate the volume of box 1

V_1 = s_1^3

Substitute 8 for s1

V_1 = 8^3

V_1 = 512ft^3

Next, we calculate the volume of box 2

V_2 = s_2^3

Substitute 6.5 for s2

V_2 = 6.5^3

V_2 = 274.625ft^3

The difference is then calculated as:

Difference = |V_1- V_2|

Difference = |274.625- 512|

Difference = |-237.375|

Difference = 237.375

Hence, the difference between their volumes is 237.375ft^3

6 0
3 years ago
Factor the polynomial. 3x3 – 12x2 + 27^x
Lynna [10]

12

Simplify 3x3 to 9

9- 12 x 2 + 27

Simplify 12 x 2 to 24

9- 24 + 27

8 0
4 years ago
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