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alexandr402 [8]
2 years ago
11

Solve For X, using the given triangle.

Mathematics
2 answers:
Nitella [24]2 years ago
5 0

Answer:

x = 19.8

Step-by-step explanation:

You want to use tangent, since you are trying to find the opposite side and know the adjacent side to the angle.

tan = opposite/adjacent

31tan = x/33

Multiply both sides by 33

33(31tan) = (33) x/33

33(31tan) = x

Find the tan of 31° using a scientific calculator.

tan 31° is about 0.6

Solve for x

33(0.6) = x

x = 19.83

rounded to the the nearest tenth

x = 19.8

Lelechka [254]2 years ago
4 0

Step-by-step explanation:

\tan(31)  =  \frac{x}{33}  \\ x = 33 \tan(31)  \\ x = 19.82840042791 \\ x = 19.83

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What is the equation of the line that passes through the point (8,-2) and has an undefined slope?
Aleksandr-060686 [28]

Answer:

x = 8

Step-by-step explanation:

A line with an undefined slope is a vertical line parallel to the y- axis, with equation

x = c ( c is the value of the x- coordinates the line passes through )

The line passes through (8, - 2) with x- coordinate 8 , thus

x = 8 ← equation of line

3 0
3 years ago
SHOW YOUR WORK!!<br><br> What is the distance between point A (-3, -2) and Point B (4, -7)?
gulaghasi [49]

Answer: \bold{\sqrt{74}}

<u>Step-by-step explanation:</u>

\text{Use the distance formula: }d_AB=\sqrt{(x_A-x_B)^2+(y_A-y_B)^2}\\where\ (X_A, y_A)=(-3, -2)\\and\ (x_B,y_B)=(4, -7)\\\\\\d_AB=\sqrt{(-3-4)^2+[-2-(-7)]^2}\\\\.\quad =\sqrt{(-7)^2+(5)^2}\\\\.\quad =\sqrt{49+25}\\\\.\quad =\boxed{\sqrt{74}}

3 0
3 years ago
The ratio of green pepper plants to red pepper plants in Adelins garden is 3 to 5. If there are 20 red peppers plants, how many
Anon25 [30]

Answer:I think is 5.

Step-by-step explanation:

5 0
3 years ago
The number is even. It is nit divisible by 3. It is not divisible by 5. It is not greater than 9^2. Is it not less than 8^2. Wha
TEA [102]

Answer:

64, 68, 74, 76

Step-by-step explanation:

Ok so in a confusing way, the last two statements are telling you that the number is greater than 8^2, which is 64, and the number is less that 9^2, which is 81.

The number has to be even, so I will list the even numbers between those two numbers:

64, 66, 68, 70, 72, 74, 76, 78, 80.

It cannot be divisible by 3, which rules out 66, 72, 78

64, 68, 70, 74, 76, 80 remains

It cannot be divisible by 5, which rules out 70 and 80

64, 68, 74, 76  are the possible answers,

*Note: I believe I did this right, but because of the tricky wording of the last two statements, 64 may not be included.

4 0
3 years ago
What is the are of the following figure if AC = 12, AD = 16.
Degger [83]

Answer:

116

Step-by-step explanation:

∆ABC

A = ½bh = ½ × 12 × 6 = 36

∆ACD

A = ½bh = ½ × 16 × 7 = 56

∆ADE

A = ½bh = ½ × 16 × 3 = 24

ABCDE  

A = ∆ABC + ∆ACD +∆ADE = 36 + 56 + 24 = 116

The area of the figure is 116 square units.

7 0
3 years ago
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