(x + 3)(x^2 - 5x + 7)<br> write in standard form once you find answer.

Lei is renting a paddle board from a local shop that charges a $12 fee, plus an hourly rate of $8.50. For how long can Lei rent

MrMuchimi

Answer:

8 hours.

Step-by-step explanation:

80 = 12 + 8.5t where t is the time rented in hours

8.5t = 80 - 12 = 68

t = 68/8.5

= 8 hours.

7 0

2 years ago

Can I please have some help!!!

mafiozo [28]

Angle BCA would be angle bca would be 35 using the angle sum property and I angle cae would be same as they are alternate angles. And angle cae would be the same as angle x as they are vertically opposite angle

Therefore angle x is

4 0

3 years ago

Find the value of x that makes m∥n. PLEASEE HELP

Lelechka [254]

Answer:

Step-by-step explanation:

143=5x+13(being corresponding angles)

143-13=5x

130/5=x

26=x

5 0

3 years ago

Read 2 more answers

The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se

spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

4 0

2 years ago

A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p

olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40 2

41-45 14

46-50 18

51-55 12

56-60 4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= $2+14+18+12+4= 50$

Vehicles travelling at speed of 41-45 mph= 14

Formula; percent of vehicles traveling between 41 and 45 mph= $\frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100$

⇒ Percent of vehicles traveling between 41-45 mph= $\frac{14}{50} \times 100= 14\times 2$

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0

3 years ago

(x + 3)(x^2 - 5x + 7) write in standard form once you find answer.