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3 years ago

Please help!!!

Mathematics

2 answers:

mars1129 [50]3 years ago

5 0

Personal injury before me is correct good job

Leto [7]3 years ago

3 0

Answer:

- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC$

Therefore, the scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ , and solve for the distance between the Sun and the shooting star "AC":

$cos(x\°)=\frac{y}{AC}$

$AC=\frac{y}{cos(x\°)}$

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Express f (x) = |x-5| as a piecewise defined function

mrs_skeptik [129]

If x>5......f(x)= x-5
if x <5......f (x)= -x+5

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3 years ago

Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month.

Step2247 [10]

She would have $7160.86 left over in cash here's why.....
she starts off with $8,322.65 and spends $830.98 on rent $8,322.65-$830.98= $7,491.67
then spends $210.36 on food and another $120.45 on gas
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7 0

3 years ago

A boat travels for 7 hours. if it travels 4 hours downstream and 3 hours upstream. ten t covers a distance of 116 km. but if it

nadya68 [22]

Speed = Distance / Time
Distance = Speed*Time

For this problem, we should bear in mind that current speed has an impact on the boat speed...

for upstream, the boat goes against the current, and so its speed is

U = V - C

where V is the speed of the boat
C is the current speed

for downstream, it will be:

D = V + C

Convert the problem into mathematical equations:

4D + 3U = 116
3D + 4U = 108

4(V+C) + 3(V-C) = 116
4V + 4C + 3V -3C =116
7V + C = 116

3(V+C) + 4(V-C) = 108
3V + 3C + 4V - 4C = 108
7V - C = 108

Solving the equations:

7V + C = 116
7V - C = 108

14V = 224
V = 16km/hr —-> speed of boat

to get C:
7(16) + C = 116
C = 4km/hr

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3 years ago

Need help with 6th grade math

Arada [10]

1 kilogram of baking soda costs $4.5

Step-by-step explanation:

To solve this problem, we will follow the steps bellow:

Using proportion;

Let x be the cost of 1 kg of baking soda

kilogram = $ 2

1 kilogram = x

Cross - multiply

× x = $2 × 1

× x = $2

= $2

Multiply both-side of the equation by 9

× 9= $2 × 9

At the left-hand side of the equation 9 will cancel-out 9, hence our equation becomes

4x = $18

Divide both-side of the equation by 4

= $

x = $4.5

1 kilogram of baking soda costs $4.5

Step-by-step explanation:

7 0

3 years ago

ADMIT

Alex_Xolod [135]

Answer:

What is a factor?

Step-by-step explanation:

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3 years ago