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2 years ago

Find the value of tan 0 for each of the following

Mathematics

1 answer:

NikAS [45]2 years ago

3 0

(a) 4, ·b) $\frac{3}{4}$ , (c) $\frac{1}{2}$ , (d) $\frac{4}{3}$

using the slope m of a line = tanΘ = (difference in vertical )/(difference in horizontal ) between 2 points on the line

using the endpoints of each line, then

(a) tan Θ = $\frac{4}{1}$ = 4

(b) tan Θ = $\frac{3}{4}$

(d) tan Θ = $\frac{4}{3}$

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a box contains 4 yellow, 5 green and 3 blue balls. find the probability of obtaining a yellow ball in a single random draw.

Alex

Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:

$P(Yellow)=\frac{\text{ number of yellow balls}}{\text{total number of balls}}=\frac{4}{12}=0.33$

therefore, the probability is 0.33 = 33%

7 0

1 year ago

Use two unit multipliers to convert 628 kilometers to centimeters

irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

$\frac{628 km}{1}$

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the first unit multiplier by putting 1 km in the denominator and 1000 m in the numerator, so the km will cancel. So we multiply by the unit multiplier,

$\frac{628 km}{1} \times \frac{1000m}{1km}$

Now the km's will cancel:

$\frac{628}{1} \times \frac{1000m}{1}$

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the first unit multiplier by putting 1 meter in the denominator and 100 cm in the numerator, so the meter's will cancel. So we multiply by the unit multiplier

$\frac{100cm}{1m}$

$\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}$

We cancel the m's and we end up with:

$628 \times 1000 \times 100 cm$

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0

3 years ago

Which function has no horizontal asymptote?

xxMikexx [17]

A rational function has no horizontal asymptote when the degree of the numerator is greater than the denominator.

In other words, where the numerator has a higher exponent than the denominator.

Answer:
C) exponent on top is 2, exponent on bottom is 1

3 0

3 years ago

Read 2 more answers

Solve for x. 20x+2=24

ra1l [238]

Answer:

X=1.1

Step-by-step explanation:

subtract 2 from both sides and get 20x=22

divide 20 from both sides

x=1.1

7 0