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schepotkina [342]
3 years ago
6

Which statement is true about the points and planes?

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

The answer is B

Step-by-step explanation:

Ed2020

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The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet find the length of eac
melamori03 [73]

Answer:

Leg1 = 9 and leg2 = 12

Step-by-step explanation:

<u>Points to remember</u>

<u>Pythagorean theorem</u>

Hypotenuse² = Base² + Height²

<u>To find the length of each leg</u>

It is given that, hypotenuse = 15 feet

Let base = x the height = x +3

By using Pythagorean theorem we can write,

Hypotenuse² = Base² + Height²

15²  = x² + (x + 3)²

225 = x²  + x²  + 6x + 9

2x²  + 6x + 216 = 0

x²  + 3x + 108 = 0

By solving we get x = 9 and x -12

Therefore one leg = 9 and other leg = 9 + 3 = 12

5 0
3 years ago
Read 2 more answers
On a recent trip to a computer store you purchased one software package for 24.99 and three printer cartridges the total bill wi
DanielleElmas [232]

Answer:

The price of a single printer cartridge is 19.69, in your given currency.

Step-by-step explanation:

First remove the tax and the software package from the total bill.

90.01 - 24.99 - 5.95 = 59.07

Since there are 3 cartridges, you divide 59.07 by 3, giving you the price of a single cartridge.

59.07 \div 3 = 19.69

8 0
3 years ago
Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean len
Marina86 [1]

Answer:

Step-by-step explanation:

Hello!

You need to construct a 95% CI for the population mean of the length of engineering conferences.

The variable has a normal distribution.

The information given is:

n= 84

x[bar]= 3.94

δ= 1.28

The formula for the Confidence interval is:

x[bar]±Z_{1-\alpha/2}*(δ/n)

Lower bound(Lb): 3.698

Upper bound(Ub): 4.182

Error bound: (Ub - Lb)/2 = (4.182-3.698)/2 = 0.242

I hope it helps!

6 0
3 years ago
You are biking to the park. After six minutes 40% of the distance still need to be traveled. How long does it take to bike to th
nikklg [1K]

Answer:

y = (100-10x)\%

It takes <em>10 minutes</em> to the park.

Step-by-step explanation:

Given that:

Time taken = 6 minutes

Distance left to be traveled = 40%

To find:

The equation to represent the distance y, that still needs to be traveled after x minutes.

Solution:

As per given statement, distance traveled in 6 minutes = 60%

We can say that:

Distance traveled each minute = \frac{60\%}{6} = 10%

After 1 minute, distance traveled = 10%

Distance left = 100 - 10 = 90%

After 2 minutes, distance traveled = 20%

Distance left = 100 - 20 = 80%

After x minutes, distance traveled = 10x%

Distance left, y = (100 - 10x)%

Therefore, the equation is:

y = (100-10x)\%

Time taken by the bike to reach to the park can be found by putting y = 0 (i.e. distance left to be traveled = 0)

0 = 100 -10x\\\Rightarrow 10x = 100\\\Rightarrow x = \bold{10\ minutes}

8 0
3 years ago
a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a
rusak2 [61]

Answer:

  • 5 km/h or 6 km/h

Step-by-step explanation:

  • Let the speed of the boat be x
  • Speed against the current in the river is x - 2

<u>Time in the river:</u>

  • 6/(x - 2)

<u>Time in the lake:</u>

  • 15/x

<u>The difference:</u>

  • 6/(x - 2) = 15/x - 1

Solve for x to find the speed of the boat

<u>Multiply both sides by x(x - 2) to clear the fraction:</u>

  • 6x = 15(x - 2) - x(x - 2)
  • 6x = 15x - 30 - x² + 2x
  • x² - 11x + 30 = 0
  • (x - 5)(x - 6) =0
  • x -5 = 0, x - 6 = 0
  • x = 5 km/h, x = 6 km/h
4 0
3 years ago
Read 2 more answers
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