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3 years ago

Can someone help pls

Mathematics

1 answer:

ryzh [129]3 years ago

5 0

A. No it is not linear because there are points that have the same y
b. yes it is linear because the x is consistently going up by 1 and y is consistently going down by 3

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Solve the problem.A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course. At that t

Mice21 [21]

Given:

A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.

The distance between plan and mountain is 10 km.

A short time later, the bearing to the mountain becomes 45°.

Here NM is the distance between the plane from the mountain when the second bearing is taken.

We need to find the measure of NM.

$We\text{ know that }\angle INM\text{ and }\angle\text{XNM are supplementary angles.}$

The sum of the supplementary angles is 180 degrees.

$\angle INM+\angle XNM=180^o$ $\text{Substitute }\angle XNM=45^o\text{ in the equation.}$

$\angle INM+45^o=180^o$

$\angle INM=180^o-45^o$

$\angle INM=135^o$

We know that the sum of all three angles of the triangle is 180 degrees.

$\angle INM+\angle NIM+\angle INM=180^o$ $\text{Substitute }\angle INM=135^o\text{ and }\angle NIM=35^o\text{ in the equation.}$

$135^o+35^o+\angle INM=180^o$

$170^o+\angle INM=180^o$

$\angle INM=180^o-170^o$

$\angle INM=10^o$

Consider the sine law.

$\frac{\sin N}{IM}=\frac{\sin M}{IN}=\frac{\sin I}{NM}$

Take the equation to find the measure of NM.

$\frac{\sin N}{IM}=\frac{\sin I}{NM}$ $\text{Substitute }\angle N=135^o,\angle I=35^o,\text{ and IM=10 in the equation.}$

$\frac{\sin 135^o}{10}=\frac{\sin35^o}{NM}$

$NM=\frac{\sin 35^o}{\sin 135^o}\times10$ $NM=8.11$

Hence the measure of NM is 8.1 km.

The plane is 8.1 km far from the mountain when the second bearing is taken.

5 0

1 year ago

Cheyenne ran a 4-kilometer race in 40 minutes.what was her speed in kilometers per hour?

kompoz [17]

4km/40min

Multiply numerator and denominator by (60/40):

4*(60/40) / 60min
6 kmph

5 0

3 years ago

If 12 inches equal 30.48 centimeters, how many centimeters are in 36 inches?

mylen [45]

Answer:

91.44

Step-by-step explanation:

12 times 3 is 36

so 30.48 times 3 is 91.44

3 0

4 years ago

Read 2 more answers

Three bouquets of flowers are ordered at a florist. 3 roses, 2 carnations, and 1 tulip cost $14. 6 roses, 2 carnations, and 6 tu

STALIN [3.7K]

cost of 1 rose = $ 3

cost of 1 carnation = $ 1

cost of 1 tulip = $ 3

<em><u>Solution:</u></em>

Let "r" be the cost of 1 rose

Let "c" be the cost of 1 carnation

Let "t" be the cost of 1 tulip

<em><u>3 roses, 2 carnations, and 1 tulip cost $14</u></em>

So we can frame a equation as:

3 roses x cost of 1 rose + 2 carnations x cost of 1 carnation + 1 tulip x cost of 1 tulip = $ 14

$3 \times r + 2 \times c + 1 \times t = 14$

3r + 2c + 1t = 14 ----- eqn 1

<em><u>6 roses, 2 carnations, and 6 tulips cost $38</u></em>

So we can frame a equation as:

6 roses x cost of 1 rose + 2 carnations x cost of 1 carnation + 6 tulip x cost of 1 tulip = $ 38

$6 \times r + 2 \times c + 6 \times t = 38$

6r + 2c + 6t = 38 ------ eqn 2

<u><em>1 rose, 12 carnations, and 1 tulip cost $18</em></u>

So we can frame a equation as:

1 rose x cost of 1 rose + 12 carnations x cost of 1 carnation + 1 tulip x cost of 1 tulip = $ 18

$1 \times r + 12 \times c + 1 \times t = 18$

r + 12c + t = 18 ----- eqn 3

<em><u>Let us solve eqn 1 and eqn 2 and eqn 3 to find values of "r" "c" "t"</u></em>

3r + 2c + 1t = 14 ----- eqn 1

6r + 2c + 6t = 38 ------ eqn 2

r + 12c + t = 18 ----- eqn 3

From eqn 1,

3r = 14 - 2c - t

$r = \frac{14 - 2c - t}{3}$

Substitute the above value of r in eqn 2

$6(\frac{14 - 2c - t}{3})+ 2c + 6t = 38\\\\28 - 4c - 2t + 2c + 6t = 38\\\\-2c +4t = 10\\\\-2c = 10 - 4t\\\\2c = 4t - 10\\\\c = 2t - 5$

Substitute c = 2t - 5 and $r = \frac{14 - 2c - t}{3}$ in eqn 3

$12(2t - 5) + \frac{14 - 2c - t}{3} + t = 18\\\\24t - 60 + \frac{14-2(2t - 5) - t}{3} + t = 18\\\\72t - 180 + 14 - 4t +10 - t + 3t = 54\\\\70t = 54 + 180 - 14 -10\\\\70t = 210\\\\t = 3$

Substitute t = 3 in c = 2t - 5

c = 2(3) - 5

Substitute t = 3 and c = 1 in $r = \frac{14 - 2c - t}{3}$

$r = \frac{14 - 2(1) - 3}{3}\\\\r = \frac{14 - 2 - 3}{3}\\\\r = \frac{9}{3} = 3$

<em><u>Summarizing the results:</u></em>

cost of 1 rose = $ 3

cost of 1 carnation = $ 1

cost of 1 tulip = $ 3

6 0

3 years ago

the following set of coordinates most specifically represents which figure? (-5, 6), (-1, 8), (3, 6), (-1, 4)

slega [8]

You need to graph these coordinates on graphing paper. Once you do that, try to figure out the name of the shape and that is your answer.

5 0

3 years ago