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The distance between the tornado, and both spotters is an illustration of bearing and distance.

See attachment for the positioning of the tornado, and the two spotters.

First, we calculate the angle T.

[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle

[tex]\mathbf{\angle T +102 = 180}[/tex]

Subtract 102 from both sides

[tex]\mathbf{\angle T = 78}[/tex]

From the attached figure:

To calculate y, we make use of the following sine formula

[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]

[tex]\mathbf{y = 30.67}[/tex]

To calculate z, we make use of the following sine formula

[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]

Make z the subject

[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]

[tex]\mathbf{z = 24.40}[/tex]

Next, we calculate x, using the following sine trigonometry ratio

[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]

Make x the subject

[tex]\mathbf{x = z \times sin(59)}[/tex]

Substitute [tex]\mathbf{z = 24.40}[/tex]

[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]

[tex]\mathbf{x = 20.91}[/tex]

Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.

Read more about bearing and distance at:

https://brainly.com/question/19017345

Step-by-step explanation:

235•0.1=23.5

235•0.01=2.35

876•0.01=87.6

876•0.001=8.76

Answer:

23.5, 2.35

8.76, 0.876

Step-by-step explanation:

Answer:

12°F

Step-by-step explanation:

Temperature dropped

2°F

every

1

hour

After

6

hours

6

hours

×

2°F drop

1

hour

=

12°F drop

There is a drop in

12°F

Step-by-step explanation:

that is the step by step

brainliest please

Answer:

The slope is -3/2

The y intercept is (0, -5) :)

Step-by-step explanation:

the slope is whatever is times by x

the y intercept is what’s being subtracted by it

The values of m and b from the equation of the given line are;

m = -3/2 and b = -5

We are given the equation;. y = -(3/2)x - 5

Now, the general form of an equation of a line in slope intercept form is;

y = mx + b

Where;

m is slope

b is y-intercept

Thus, comparing the general form to our given equation, we can see that;

m = -3/2 and b = -5

Read more about slope intercept form at; https://brainly.com/question/1884491

Answer:

i have no clue use guath math

Step-by-step explanation:

Answer:

3)

Step-by-step explanation:

The x side of the table can't have the same numbers, while the f(x) side can.

:)

also f(x) is the same as y on a table therefore has the same rule.

9514 1404 393

Answer:

  (f -g)(x) = -5x -15

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9

  (f -g)(x) = -5x -15

Answer:

The answer should be 41 miles per hour

Step-by-step explanation:

ANSWER: 5 (× + 6)

Step-by-step explanation:

Hope this helpಠ◡ಠ

have a good day!❤️

Answer:

Easy pie

Step-by-step explanation:

5(x - 3) + 2 = 5(2x - 8) - 3​

5x - 15 + 2 = 10x - 40 - 3

5x - 10x = 15 - 2 - 40 - 3

-5x = -30

5x = 30

x = 6

Step-by-step explanation:

Both are equal

0.5 and 2/4 = ½ = 0.5

Answer:

they are both the same

.5

and 2/4 as a decimal is .5

Step-by-step explanation:

Answer:

The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.

Step-by-step explanation:

The terms include -4√x, y, -5x.

The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.

Answer:

You want the average of three scores to be at least 80:

(88 + 78 + x)/3 ≥ 80

88 + 78 + x ≥ 80(3)

166 + x ≥ 240

x ≥ 74

You must make at least 74 on the 3rd test to maintain an average of at least 80%

Step-by-step explanation:

Answer:

 =  1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

Answer:

9 pints

Step-by-step explanation:

there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.

16 ÷ 2 = 8

9 is greater than 8, so 9 pints.

Answer:

33.3333 percent dectearse

Answer:

Thank you for the points and you sertanly right

Step-by-step explanation:

Answer:

7:3   35:65   56/104    14/26

Step-by-step explanation:

You can pick three!

Answer:

true

Step-by-step explanation:

true the definition is right

Answer:

79,000       78,000    77,000

Step-by-step explanation:

Looking at the number behind the ten-thousands place, the number being higher than five makes the seven round up to 8

Answer:

[tex]y=\frac{1}{3}x+7.6666[/tex]

Step-by-step explanation:

First we must convert  [tex]3x+y=-7[/tex] into slope-intercept form!

To do this we simply just need to subtract -3x from the 3x on the left and move it to the right side. This would result in: [tex]y = -3x-7[/tex]

Now that we have our slope-intercept form for the equation remember that to find the equation that is perpendicular to the given equation, you need to use the opposite reciprocal of the slope. This would be [tex]\frac{1}{3}[/tex] as that is the reciprocal and opposite of [tex]-\frac{3}{1}[/tex]

Now in order to find the "b" variable of the equation that goes through the ordered pair (1, 8) we need to plug it in to the given equation!

That equation would be: [tex]y=\frac{1}{3}x-7[/tex]

Given that x = 1 and y = 8 we can plug those in like so:

[tex]8=\frac{1}{3}(1)+b[/tex]

(make sure to set the -7 to b as that's what we're solving for)

1 / 3 is 0.3333 (infinitely repeating)

Next we need to subtract 0.3333 from 8, which would be 7.6666 (infinitely repeating) Remember that the variable needs to be "alone"!

Now we have our "b" for the equation! Hence the equation would be:

[tex]y=\frac{1}{3}x+7.6666[/tex]

(you can also use [tex]\frac{23}{3}[/tex] for the b as that is the "exact form" of 1 / 3 but they both work)

Hope this helps! Feel free to ask questions!

Answer:

a. 3 cm

b. 6 km

Step-by-step explanation:

to be completely honest, I just shoot my answer based on the pattern.

if you notice that when the scale is 4 cm, the actual distance is 5 km. When the distance is 4 km, the scale should probably be 3 cm. It's the same with the 5 cm scale, then the distance should be 6 km

Step-by-step explanation:

Use ratios to solve it

a)

x = 4*4/5 = 3.2 cm

b)

x = 5*5/4 = 6.25 km

Answer:

3, 0

Step-by-step explanation:

So, if we rewrite our given equation to have its 0x its easier to picture factorising it.

Factorise into (x+3)(x-3)

Make this equation equal to zero

Solve for your two pairs, -3, 0 (which was given in the question- I wrote this in green)

and 3, 0 (I wrote this in blue)

9514 1404 393

Answer:

  (-3, 0) (given) and (3, 0)

Step-by-step explanation:

Apparently, the "solution" you're looking for is the solution to f(x) = 0.

To find the solutions, look for table values where y = 0. The solutions are the corresponding x-values. The (x, y) pairs that are solutions can be read from the table:

  (-3, 0) and (3, 0)

Answer:

2

Step-by-step explanation:

please mark brainiest hope it works out for you

Answer:

46.6666667

Step-by-step explanation:

we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.

Hope this helps! (:

The required average speed of Oliver is 46.67 miles per hour.

Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
                       = 210 / 4.5
                       = 46.67 miles per hour

Thus, the required average speed of Oliver is 46.67 miles per hour.

Learn more about averages here:

brainly.com/question/24057012

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