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Sever21 [200]
3 years ago
5

Someone plz help me with this???

Mathematics
1 answer:
Travka [436]3 years ago
7 0
Since LON is a straight angle, it equals 180 degrees. That makes LOM and MON supplementary angles. Thus, we know (7x-92) + (6x+12) = 180. Since both are positive, we can drop the parentheses.
7x - 92 + 6x + 12 = 180
Simplify: 13x - 80 = 180
Add 80 to both sides: 13x = 260
Divide both sides by 13: x = 20
Plug in: 7(20)-92
140 - 92
LOM is 48 degrees.
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I) Find the volume in terms of pie
SVETLANKA909090 [29]

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

3 0
3 years ago
Find sin theta if cot theta = -2 and cos theta < 0
Katarina [22]

cot(<em>θ</em>) = cos(<em>θ</em>)/sin(<em>θ</em>)

So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.

Recall that

cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)

so that

sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)

sin(<em>θ</em>) = 1 / √(cot²(<em>θ</em>) + 1)

Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :

sin(<em>θ</em>) = 1 / √((-2)² + 1)

sin(<em>θ</em>) = 1/√(5)

6 0
2 years ago
Which equation is represented by the graph below?
marta [7]

Answer:

Hello,

Answer C

Step-by-step explanation:

Since ln(1)=0

if x=1 then y=4 ==> <u>y=ln(x)+4</u>

y=ln(x) is translated up for 4 units.

3 0
2 years ago
Which is the greatest value?4qt
Aleks04 [339]

Step-by-step explanation:

19 is the greatest value

8 0
2 years ago
Rewrite the following mixed number as a decimal. <br><br> 8 1/100
Lemur [1.5K]

Answer:

8.01

Step-by-step explanation:

8\frac{1}{100} is the same as \frac{801}{100}

Divide:

801 ÷ 100 = 8.01

7 0
3 years ago
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