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Evgesh-ka [11]
3 years ago
10

2. A square tent has a side with a length of 4x2yzd feet. What is its area?

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

6

Step-by-step explanation:

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
Marcus needs 3 1/10 m of blue fabric and 1 1/5 m of yellow fabric to make his costume. How much more blue fabric than yellow fab
Kamila [148]

Answer:

1\frac{9}{10}\ m

Step-by-step explanation:

we know that

To find out how much more blue fabric than yellow fabric does Marcus need, subtract the quantity of yellow fabric from the quantity of blue fabric

step 1

Convert mixed number to an improper fraction

3\frac{1}{10}\ m=\frac{3*10+1}{10}=\frac{31}{10}\ m

1\frac{1}{5}\ m=\frac{1*5+1}{5}=\frac{6}{5}\ m

step 2

Subtract the numbers

\frac{31}{10}-\frac{6}{5}=\frac{31}{10}-\frac{12}{10}=\frac{19}{10}\ m

Convert to mixed number

\frac{19}{10}\ m=\frac{10}{10}+\frac{9}{10}=1\frac{9}{10}\ m

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!
Zolol [24]

(9/18)(9/18) = 81/324. The probability that Amy takes out pink chips in both draws is 81/324.

In this example we will use the probability property P(A∩B), which means given two independent events A and B, their joint probability P(A∩B) can be expressed as the product of the individual probabilities P(A∩B) = P(A)P(B).

The total number of chips of different colors in Amy's bag is:

8 blue chips + 9 pink chips + 1 white chip = 18 color chips

Amy takes out a chip from the bag randomly without looking, she replaces the chip and then takes out another chip from the bag.

So, the probability that Amy takes out a pink chip in the first draw is:

P(A) = 9/18 The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

Then, Amy replaces the chip an takes out another which means there are again 18 color chips divide into 8 blue chips, 9 pink chips, and 1 white chip. So, the probability of takes out a pink chip in the second draw is:

P(B) = 9/18  The probability of takes out a pink chip is 9/18 because there are 9 pink chips in the total of 18 color chips.

What is the probability that Amy takes out a pink chip in both draws?

P(A∩B) = P(A)P(B)

P(A∩B) = (9/18)(9/18) = 81/324

4 0
3 years ago
I could use some help doing this simple math problem lol.
alexira [117]
D:k-9\geq 0 \wedge k\geq0\\
D:k\geq 9 \wedge k\geq0\\
D:k\geq 9\\
\sqrt{k-9}-\sqrt k=-1\\
\sqrt{k-9}=-1+\sqrt k\\
k-9=(-1+\sqrt k)^2\\
k-9=1-2\sqrt k+k\\
2\sqrt k=10\\
\sqrt k =5\\
k=25


7 0
3 years ago
What is 11k+9=42 ? and how to do the work for it
irga5000 [103]

Answer:

k = 3

Step-by-step explanation:

multiply 11 and 3 and you get 33 and then add 9 which you get 42

4 0
2 years ago
Read 2 more answers
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