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Schach [20]
3 years ago
11

112°

Mathematics
2 answers:
Oliga [24]3 years ago
5 0
This is easy:
2f+1 + 53 =112
Minus 54 from both sides
2f = 58
Divide 2 from both sides
F=29
Just remember the exterior angle is the sum of the 2 interior angles.
Troyanec [42]3 years ago
3 0

Answer:

f = 29

Step-by-step explanation:

First look at the angle inside the triangle that has no marker.  You can determine this angle using the angle on the opposite side (112).

A straight line will equal 180.  So this angle would equal 180 - 112 or 68.

Now you know two of the triangles angles....  53 and 68.

A triangle's inside angles always add up to 180 degrees.

53 + 68 = 121

The angle that is 2f + 1 must equal 180 - 121 which is 59 degrees.

2f + 1 = 59

2f = 58

f = 29

The three angles inside the triangle are 53, 68 and 59

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How many learners can enrol if there are 12 teachers and a ratio of teachers to learners is 30:1
VladimirAG [237]

Answer:

360 learners

Step-by-step explanation:

One way to solve these types of problems is that you could set up a proportion

learners/teachers = learners/teachers

Let x = no. of learners to enrol

30/1 = x/12

12(30) = x

x = 360 learners

5 0
3 years ago
Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35\text{ m}^30.35 m 3 0, point
Step2247 [10]

Complete question :

Angela makes a pillow in the shape of a wedge to use for watching TV. The pillow is filled with 0.35 m3 of fluffy material, with base 0.5 m and height 1m

What is the length of the pillow?

Answer:

1.4 m

Step-by-step explanation:

The volume of wedge is given by:

V = Area of triangle * length

Area of triangle = 1/2 * base * height

Volume of wedge = 1/2 * base * height * length

Volume of wedge = 0.35m³

0.35 = 0.5 * 0.5 * 1 * length

0.35 = 0.25 * length

Length = 0.35 / 0.25

Length = 1.4 m

5 0
3 years ago
C=Wtc/1000 for W please I need help it's algebra
DedPeter [7]
C1000÷ct=w

you pretty much ×1000 and then ÷t and c
3 0
3 years ago
An arc has a length of 123.53 millimeters and a radius of 28 millimeters. What is the measure of the angle of the sector in degr
nadezda [96]

Answer:

Step-by-step explanation:

The formula for arc length in terms of degrees is

A.L.=\frac{\theta}{360}*2\pi r and we have everything we need to fill in to find the angle measure.

123.53=\frac{\theta}{360}*56\pi which is the same as

123.53=\frac{56\pi \theta}{360} and

360(123.53)=56\pi \theta and

\frac{360(123.53)}{56\pi}=\theta so

θ = 253°

4 0
3 years ago
Solve the equation 2 cos x + 1 = 0 , 0 <= x <= 2pi PLEASE HELP! WILL AWARD!
Keith_Richards [23]
It would be pi over 6, 5 pi over 6, and 3 pi over 6.
6 0
3 years ago
Read 2 more answers
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