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GrogVix [38]
2 years ago
6

What is the slope of the line that passes through the points (25,50) and (80,110)

Mathematics
1 answer:
stepan [7]2 years ago
3 0

Answer:

12/11

Step-by-step explanation:

the formula to find the slope of a line is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

where m is the slope and (x_{1},y_{1}) and (x_{2},y_{2}) are the points where the line passes.

in this case we have that the first point is: (25,50)  thus⇒ x_{1}=25 and y_{1}=50

and the second point: (80,110) thus ⇒ x_{2}=80 and y_{2}=110

substituting this values into the formula for the slope:

m=\frac{110-50}{80-25} \\\\m=\frac{60}{55}\\ \\m=\frac{12}{11}

the slope of the line is 12/11

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motikmotik

Answer:

By angle sum property,

56 + 92 = 148

180 - 148 = 32

linear pair

so ,  180 - 32

= 148

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What is the volume of shed B?
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3 years ago
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A worker is installing blue and white square tiles in a kitchen. Blue tiles have different lengths than white tiles. A row of 8
ipn [44]

Answer:

8x + 16y = 39 and

40x + 8y = 42

Step-by-step explanation:

Let the length of the blue tiles is b inches and that of the white tiles is w inches.

So, given that a row of 8 blue tiles and 16 white tiles has a length of 39 inches and a row of 40 blue tiles and 8 white tiles has a length of 42 inches.

Therefore, we can write the system of linear equations that represents the relationship between the length if a blue tile and a white tile in inches as

8x + 16y = 39 and

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4 0
3 years ago
Fred the owl is looking down at a 67° angle from the top of a tree that is 15 ft tall, when he spots a bird on the ground. How f
guapka [62]

Answer:

Fred     C. 16.30 ft

Gary     B. 169.67 m

Step-by-step explanation:

Fred the owl...

Always <u>draw a diagram first</u> (see diagram below). We assume trees are perpendicular (at 90°) to the ground. The situation forms a right-angle triangle.

We need to <u>find "x"</u>, which is the direct distance between the owl and the bird. "x" is also the hypotenuse, which is the longest side in a right-angle triangle. Since we know a side and an angle, we can find the hypotenuse using primary trigonometry ratios.

∠B will be the angle of reference (the angle we are "talking" about). The side we know is opposite to ∠B (15ft). We know it's opposite because it's not touching the angle. The side we need to find is the hypotenuse.

<u>Use the trig. ratio sine</u> because it has opposite and hypotenuse in it. The general formula is:

sinθ = opp/hyp

θ means the angle, and we know it is 67°.

Replace all the information you know:

sinB = opp/hyp

sin67° = (15ft) / x     Isolate "x". Rearrange the equation.

xsin67° = (15ft)         Divide both sides by sin67°

x = (15ft) / sin67°

x = 16.295... ft   Exact answer in decimals

x ≈ 16.30 ft     Rounded to nearest hundredth

Therefore Fred the owl is 16.30 feet from the bird.

Gary spots a monkey...

Draw a diagram first (see below). G is Gary, M is the monkey, T is the bottom of the Sears Tower. We need to <u>find "x"</u>, which is the distance between the monkey and the bottom of the tower.

The angle of reference is M, which is 69°. We need to find the adjacent side and we know the opposite side. <u>The trig. ratio that has adjacent and opposite is tangent.</u>

tanθ = opp/adj

Replace all the information you know:

tanM = opp/adj

tan69° = (442m) / x    Rearrange the formula to isolate "x"

xtan69° = 442m         Divide both sides by tan69°

x = 442m / tan69°      Solve by dividing

x = 169.6679.... m    Exact decimal answer

x ≈ 169.67m            Rounded to the nearest hundredth

Therefore the monkey is 169.67 metres from the tower.

Remember all the trig. ratios using the acronym SohCahToa.

o = opposite side

a = adjacent side

h = hypotenuse side

S = sine, sin for short

C = cosine, cos for short

T = tangent, tan for short

The operation is always dividing the first side in the acronym by the second side.

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

4 0
3 years ago
The combined area of a pair of congruent rectangles can be represented, in square units, by the expression 18y^2-818y 2 −8. The
sveta [45]

Answer:

Perimeter = 12y

Step-by-step explanation:

Given

Area = 18y^2 - 8 -- two rectangles

Required

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A =\frac{1}{2}(18y^2 - 8)

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Area is calculated as:

A = Length * Width

So, by comparison:

Length = 3y - 2

Width = 3y + 2

The perimeter is:

Perimeter = 2 *(Length + Width)

Perimeter = 2 *(3y-2+3y+2)

Collect Like Terms

Perimeter = 2 *(3y+3y-2+2)

Perimeter = 2 *(6y)

Perimeter = 12y

8 0
2 years ago
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