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natali 33 [55]
3 years ago
8

Which statement is modeled by the expression 150 / k

Mathematics
1 answer:
madam [21]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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A spotlight on a 3.0 m stand shines on the surface of a swimming pool. The beam of light hits the water at a point 7.0 m away fr
Ede4ka [16]

The angle the beam makes with the pool surface is 29.72°.

Step-by-step explanation:

<u>Data:</u>

The spotlight and surface of a swimming pool makes a 90 degree angle.

Spotlight stand is 3m (Opposite)

Beam of light hits the water 7m away from the base of light (base)

Angle = ?

<u>Use sin to solve</u>

Formula:

Tan (Angle) = \frac{Opposite}{Base}

Solution:

Sin (Angle) = \frac{3}{7}

Angle = tan^{-1} (0.571)

Angle = 29.72°

Therefore, the angle the beam makes with the pool surface is 29.72°.

Keyword: Angle

Learn more about angle at

  • brainly.com/question/4354581
  • brainly.com/question/4767370

#LearnwithBrainly

8 0
3 years ago
Cual es la diferencia entre crecimiento lineal y exponencial.ejemplos
Sedbober [7]

Answer:

English please

Step-by-step explanation:

8 0
3 years ago
A shop sells 3 different types of tea
lys-0071 [83]

Answer:

The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

Step-by-step explanation:

A)

200 g of Kenyan tea costs £2.10

1. Calculate the rate of each gram, by dividing 2.10/200

0.0105 x 100 =    £1.05  for each 100g

300 g of Columbian tea costs £3.45

1. Calculate the rate of each gram, by dividing 3.45/300

0.0115 x 100 =  £1.15 for each 100g

1. Calculate the rate of each gram, by dividing 1.70/150

150 g of Indian tea costs £1.70

0.01133333333 x 100 =  £1.133333333 for each 100g

B) The cheapest is the Kenyan tea which costs  £1.05  for each 100g.

8 0
3 years ago
(2, 4) and (6, 12) find slope
Free_Kalibri [48]

Answer:

2

Step-by-step explanation:

Use the formula: change of y over change of x.

When you do that, your systems should look like this:

x1 = 2

y1 = 4

x2 = 6

y2 = 12

After that you plug these number into the corresponding variable.

(12 - 4) / (6 - 2) = 8/4 which equals 2.

4 0
3 years ago
what is the equation in slope intercept form of the line that passes through the point (-4,47) and (2,-16)
Vilka [71]

The slope-intercept form:

y=mx+b

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (-4, 47) and (2, -16). Substitute:

m=\dfrac{-16-47}{2-(-4)}=\dfrac{-63}{6}=-\dfrac{63:3}{6:3}=-\dfrac{21}{2}

Therefore we have:

y=-\dfrac{21}{2}x+b

Put the coordinates of the point (2, -16) to the equation:

-16=-\dfrac{21}{2}(2)+b\\\\-16=-21+b\qquad\text{add 21 from both sides}\\\\5=b\to b=5

Answer: \boxed{y=-\dfrac{21}{2}x+5}

6 0
3 years ago
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