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2 years ago

Expre

Mathematics

1 answer:

Inessa05 [86]2 years ago

7 0

Answer:

Step-by-step explanation:

Rewrite the bottom expression:

-2a-2b-2c-3x-3y

Factor the expression into two parts:

-2(a+b+c) + -3(x+y)

Substitute -3 for a+b+c and -9 for x+y:

-2(-3) + -3(-9)

6 + 27

Therefore, your final answer is 33

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A surveyor leave her base camp and drive 42 km on a bearing of 032, she then drive 28km on a bearing of 154.How far is she then

aleksklad [387]

Answer:

Step-by-step explanation:

The scenario is represented in the attached photo. Triangle ABC is formed. AB represents her distance from her base camp. We would determine BC by applying the law of Cosines which is expressed as

a² = b² + c² - 2abCosA

Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b. It becomes

AB² = AC² + BC² - 2(AC × BC)CosC

AB² = 42² + 28² - 2(42 × 28)Cos58

AB² = 1764 + 784 - 2(1176Cos58)

AB² = 2548 - 1246.37 = 1301.63

AB = √1301.63

AB = 36.08 km

To find the bearing, we would determine angle B by applying sine rule

AB/SinC = AC/SinB

36.08/Sin58 = 42/SinB

Cross multiplying, it becomes

36.08SinB = 42Sin58

SinB = 42Sin58/36.08 = 0.987

B = Sin^-1(0.987)

B = 81°

Therefore, her bearing from the base camp is

360 - 81 = 279°

8 0

2 years ago

What is the value of x?<br><br> x= ___ °

JulsSmile [24]

Answer:

80°

Explanation:

All angles inside a triangle must add up to 180°

6 0

2 years ago

Of a circle: C = nid

gogolik [260]

Answer:

OU ARE STUPIDStep-by-step explanation:

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8 0

2 years ago

There were 12 girls on the basketball team. 3 of them scored over 10 points in the game. What fraction represents the number of

Naily [24]

Answer:

1/4

Step-by-step explanation:

3 out of 12 stored over 10:

3 / 12

simplify

1/4

6 0

2 years ago

What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

2 years ago

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