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alisha [4.7K]
2 years ago
5

WHO DOESN'T LOVE MAX POINTS. MAX POINT QUESTION PLS ANSWER THIS TRIGONOMETRY QUESTION

Mathematics
1 answer:
mezya [45]2 years ago
4 0

Answer:

Solution given:

opposite:9

adjacent: 12

\theta=?

Relationship between opposite and adjacent is given by tan angle

so

Tan \theta=\frac{opposite} {adjacent}=\frac{9}{12}

Tan \theta=\frac{3}{4}

\theta=Tan^{-1}\frac{3}{4}

\bold{\theta=36.8°}

#11.

hypotenuse[h]=11cm

opposite/perpendicular[P]=b cm

adjacent/base[b]=a cm

now

\theta=62°

Relationship between height and hypotenuse is given by Sin angle

:.

Sin 62°=\frac{opposite}{hypotenuse}=\frac{b}{11}

doing crisscrossed multiplication

b=Sin 62°*11

:.b=9.71 cm

a) At <u>9</u><u>.</u><u>7</u><u>1</u><u> </u>cm height does the ladder touch the building.

again

Relationship between base and hypotenuse is given by Cos angle

:.Cos 62°=\frac{base}{hypotenuse}=\frac{a}{11}

doing crisscrossed multiplication

a=Cos 62°×11

a=5.16cm

b) the distance between the foot of the ladder and the building is <u>5.16cm.</u>

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Which equations represent the line that is parallel to 3x – 4y = 7 and passes through the point (-4,-2)? Select two
seropon [69]

Answer:

4y = 3x + 4

3x-4y = -4 is correct

Step-by-step explanation:

This is what we do.

We first express the first equation in the form;

y = mx + c

where m represents the slope of the line

Thus we have;

4y = 3x -7

divide through by 4

y = 3/4x -7/4

Thus the slope here is the coefficient of x which is 3/4

Now, since the lines are parallel, it means that their slopes are equal

So the slope of the other line too is 3/4

We now use the point slope form to find the equation of this other line

Mathematically, that would be;

y-y1 = m(x-x1)

where (x1,y1) = (-4,-2)

Substituting this into the point slope equation, we have;

y-(-2) = 3/4(x-(-4))

y + 2 = 3/4(x + 4)

Cross multiply

4y + 8 = 3x + 12

4y = 3x + 12-8

4y = 3x + 4

5 0
3 years ago
6<br> Answer the following questions about this figure.<br> If mZ1= 53°, what is mZ3?
Scrat [10]

Answer:

143 degrees

Step-by-step explanation:

Triangle EDF is a right triangle and we know that angle 1 is equal to 53 degrees. So, angle 2 is equal to 180-90-53 = 37 degrees. Now that we want to find angle 3, we subtract the measure of angle 2 (which is 37) from 180. That gives us 143 degrees.

5 0
2 years ago
The area of a playground is 216 yd^2. The width of the playground is 6 yd longer than its length. Find the length and width of t
zvonat [6]

Let the length of the playground be x, then the width is 6 + x.

Area = length * width = x * (6 + x) = 6x + x^2 = 216

Solving the quadratic equation x^2 + 6x - 216 = 0, we have x = 12 or -18

i.e length = 12 and width = 6 + 18 = 18

5 0
3 years ago
Need help with this​
Vanyuwa [196]

Answer:

Slope-int form: y = 3x+5

Standard form: y - 3x = 5.

Step-by-step explanation:

(reminder: slope-intercept form is expressed as y=mx+b, and standard form is expressed as ax+bx=c.)

Since the slope is 3, the coefficient of x is also 3, which makes the equation y=3x.

But the y coordinate of the equation at x = -2 is -6, so we need to add 5 to the end of the equation, leaving you with:

y=3x+5.

To convert it to standard form, subtract 3x from both sides:

y - 3x = 5.

I hope this helped you.

4 0
3 years ago
Distributive property of (9×3)+(9×8)
Elodia [21]
We can see that both expressions, 9 times 3 and 9 times 8, have a common number of 9. We can take that number out, and we can combine 3 and 8 together. This gives us the expression 9(3 + 8). Therefore, the expression <span>(9×3)+(9×8) expressed as the distributive property is 9(3 +8), both totaling to 99. Hope this helped and have a fabulous day!</span>
8 0
3 years ago
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