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kirill [66]
3 years ago
10

Calculate the are of each figure.

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

186 in^{2}

Step-by-step explanation:

6*3=18

18*2=36

7+3=10

15*10=150

150+36=186

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A) Find the slope, x-intercept, y-intercept of the line (L):
Black_prince [1.1K]

Answer: 2, 1.5 , -0.75

(b) 4x-3y-10=0

Step-by-step explanation:

Given

line is 3x+4y-6=0

Converting it into intercept form

\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1

So, the x-intercept is 2 and y-intercept is 1.5

The slope is given by

-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75

(b) the line perpendicular to the above line and passing through (1,-2)

The slope of the required line

m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}

Equation of the line is given by

\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0

3 0
2 years ago
What is cos 0 when sin 0
taurus [48]

Answer:

Cos θ = √7/3

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = √2 / 3

Cos θ =?

Recall

Sine θ = Opposite / Hypothenus

Sine θ = √2 / 3

Thus,

Opposite = √2

Hypothenus = 3

Next, we shall determine the Adjacent. This can be obtained as follow:

Opposite = √2

Hypothenus = 3

Adjacent =?

Hypo² = Adj² + Opp²

3² = Adj² + (√2)²

9 = Adj² + 2

Collect like terms

9 – 2 = Adj²

7 = Adj²

Take the square root of both side

Adjacent = √7

Finally, we shall determine the value Cos θ. This can be obtained as follow:

Adjacent = √7

Hypothenus = 3

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = √7/3

4 0
3 years ago
What is the area of the prism
babymother [125]

Answer: 72

Step-by-step explanation:

Prism area = b * h

base = 4 * 3 = 12

height = 6

12 * 6 = 72

8 0
3 years ago
Read 2 more answers
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 4
Elena-2011 [213]

Answer:

2628

Step-by-step explanation:

7/4 = 1.75 = 175%

x is the number of no votes

4599/x = 7/4

x = 4599/(7/4)

x = 2628

5 0
2 years ago
Write an equation for the line that passes through the points (0, -2) and (-4, 0).
photoshop1234 [79]
The answer is C
-1/2x - 2
8 0
3 years ago
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