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3 years ago

I need help with this. Thanks I need to find the degree

Mathematics

1 answer:

scoundrel [369]3 years ago

3 0

Answer:

119.05°

Step-by-step explanation:

In general, the angle is given by ...

θ = arctan(y/x)

Here, that becomes ...

θ = arctan(9/-5) ≈ 119.05°

_____

Comment on using a calculator

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

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Please help i really need it really much

Zanzabum

Answer:

1.5

Step-by-step explanation:

Assuming that you mean that Simon is scaling Logan's build, the scale factor is 1.5.

To find this, you divide Simon's fort height by Logans.

7.5/5 = 1.5.

8 0

3 years ago

Read 2 more answers

1 point

swat32

Answer:

$\log_{10}(147) = 2.1673$

Step-by-step explanation:

Given

$\log_{10} 3 = 0.4771$

$\log_{10} 5 = 0.6990$

$\log_{10} 7= 0.8451$

$\log_{10} 11 = 1.0414$

Required

Evaluate $\log_{10}(147)$

Expand

$\log_{10}(147) = \log_{10}(49 * 3)$

Further expand

$\log_{10}(147) = \log_{10}(7 * 7 * 3)$

Apply product rule of logarithm

$\log_{10}(147) = \log_{10}(7) + \log_{10}(7) + \log_{10}(3)$

Substitute values for log(7) and log(3)

$\log_{10}(147) = 0.8451 + 0.8451 + 0.4771$

$\log_{10}(147) = 2.1673$

3 0

2 years ago

At a basketball game, a vender sold a combined total of 161 sodas and hot dogs. The number of sodas sold was 43 more than the nu

Masja [62]

Let s be the soda and h be the hot dogs ,there are two equations here. By the problem s+h =161 s= h+43 ∴2h+43=161 so h=161-43/2 =59 so he sold 59 hot dogs and 59+43 =102 sodas.

5 0

3 years ago

You prepare 10 scoops of dog food for 5 dogs, and prepare 16 scoops of dog food for 8 dogs. What

Svetllana [295]

Answer:

12 scoops of dog food are needed for 6 dogs,

Step-by-step explanation:

Proportions

The number of scoops of dog foods and the number of dogs are proportional variables.

We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.

We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.

Thus, the constant of proportionality is 2.

For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.

12 scoops of dog food are needed for 6 dogs,

3 0

3 years ago

Highway patrol officers measure the speed of automobiles on a highway using radar equipment. The random variable in this experim

Nastasia [14]

Answer:

b. continuous random variable

Step-by-step explanation:

Speed is a common continuous variable and the value is always random.

It is continuous because there is always another speed value between two speed values. For example, a car travelling at the rate of 50 mils per hour will either increase or decrease its speed at a continuous rate. No speed can drop suddenly form 50mph to 20mph.

It is random because although there might be speed limit, the speed recorded by the Highway patrol officer willl always be random in value.

8 0

3 years ago