Which of the following linear equations has the steepest slope?

I'm not sure how to do this, can someone tell me how?

Nonamiya [84]

It's either 15, 17 or 18. Anything higher would make angle AC much longer than seen in the image.

8 0

3 years ago

A number is randomly selected from {1, 2, 3, 4, 5, 6, 7, 8, 9, 10).

Katyanochek1 [597]

In this case, the complement would be selecting a number less than or equal to 7; the probability of this occurring is $\boxed{\frac{7}{10}}.$

7 0

3 years ago

A soccer player has made 3 of her last 10 field goals, which is a field goal percentage of 30%. How many more consecutive field

Monica [59]

Answer:

4 consecutive goals

Step-by-step explanation:

If 3 of last 10 field goals = 30%

Which is equivalent to

(Number of goals scored / total games played) * 100%

(3 / 10) * 100% = 30%

Number of consecutive goals one has to score to raise field goal to 50% will be:

Let y = number of consecutive goals

[(3+y) / (10+y)] * 100% = 50%

[(3+y) / (10+y)] * 100/100 = 50/100

[(3+y) / (10+y)] * 1 = 0.5

(3+y) / (10+y) = 0.5

3+y = 0.5(10 + y)

3+y = 5 + 0.5y

y - 0.5y = 5 - 3

0.5y = 2

y = 2 / 0.5

y = 4

Therefore, number of consecutive goals needed to raise field goal to 50% = 4

5 0

3 years ago

Kelsey has saved $35 towards the cost of A $390 video game in the weeks to come she plans to save in additional $10 per week use

LenKa [72]

390-35=355

355-10w

355/10=35.5

355-10(35.5)

35 and a 1/2 weeks

36 weeks to have the full amount needed

3 0

3 years ago

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Which measures are accurate regarding triangle JKL? Check all that apply.

mixas84 [53]

Answer:

Option (1), (3) and (6) is correct.

m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.

Step-by-step explanation:

Given : ∠J = 58° , ∠L = 38° and length of side JK = 2.3 units.

We need to check all the options and choose that follows.

First we find the measure of ∠K

Using angle sum property , Sum of angles of a triangle is 180°

⇒ ∠J + ∠k + ∠L = 180°

⇒ 58° + ∠k + 38° = 180°

⇒ ∠k + 96° = 180°

⇒ ∠k = 180° - 96°

⇒ ∠k = 84°

Also using sine rule on ΔJKL , we get,

$\frac{KL}{\sin J}=\frac{JL}{\sin K}=\frac{JK}{\sin L}$

Substitute the values, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

Consider the last two ratios, we have,

$\frac{k}{\sin 84^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${k}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 84^{\circ}}$

On solving we get,

${k}=3.71$

Also, now consider the first and last ratio, we get,

$\frac{KL}{\sin 58^{\circ}}=\frac{2.3}{\sin 38^{\circ}}$

${KL}=\frac{2.3}{\sin 38^{\circ}}\times {\sin 58^{\circ}$

${KL}=3.16$

Thus, k ≈ 3.7 units and KL ≈ 3.2 units.

Option (1), (3) and (6) is correct.

5 0

4 years ago

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