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Georgia [21]
2 years ago
5

The 32 students in Ms.Byrd's art class made a project with construction paper. Eleven students used red construction paper, 8 st

udents used green construction paper, and the rest of the students used blue construction paper. If Ms. Byrd chooses one project at random, what is the probability it will be blue? Plz explain and show work.
A. 1/4
B. 11/32
C. 13/32
D.2/3
Mathematics
1 answer:
Mice21 [21]2 years ago
5 0

Answer: The correct answer is C. 13/32

Step-by-step explanation: There are 32 students, and 11 + 8 = 19. SO in order to figure out how many students used blue, we need to subtract 19 from 32. that gives us 13. So:

13 out of 32 students, or

13/32

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The answer using Pythagorean theorem
OverLord2011 [107]

Answer: 12.32 is the answer.


Step-by-step explanation: Using the pythagorean thereom we can solve this by using the formula A^2+B^2=C^2.

We substitute in the values,

17^2+B^2=21^2.

Now we simplify.

289+B^2=441

We subtract the 289 from both sides,

B^2=152                                                                                                                                                            

Now we use square root to find the answer.

12.32 is the answer.

Hope this helps!


5 0
3 years ago
Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
2 years ago
Find the area of the figure.
Slav-nsk [51]

Answer:

132cm

Step-by-step explanation:

Split there firgue into shapes you know

there is a rectangle and a Trapezoid

A = bh

A = 7×4

A = 28cm

Trapezoid

A = 1/2h(b+b)

A = 1/2×8(19+7)

A = 1/2×8(26)

A = 1/2(208)

A = 104cm

Add them together

104 + 28 = 132

4 0
3 years ago
Read 2 more answers
Estimate the length of one side of a square floor, if the area is 320 square feet. Give the whole number that is closest to the
RSB [31]
Let us assume the length of a side of the square floor = x feet
Area of the square floor as given in the question = 320 square feet
Then
x^2 = 320
x^2 = (17.89)^2
Then
x = 17.89
   = 18 feet approx

From the above deduction, it can be easily concluded that the correct option among all the options that are given in the question is the second option or option "B".
3 0
3 years ago
What is the slope of 6,2 and -6,6
S_A_V [24]
12, 4
take the first number together than the last ones and just find the difference

4 0
3 years ago
Read 2 more answers
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