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Mariulka [41]
2 years ago
13

Carlos is making a wood picture frame. the picture frame is 11 inches by 14 inches. after nailing the frame together, Carlos mea

sures the diagonal. if the diagonal is 19 inches long, does the frame have 90 degree corners? explain.
Mathematics
1 answer:
alexira [117]2 years ago
8 0
Answer:
Hope that helps! Have a good day :)

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<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B3%7D%7B4%7D%20%20-%20%20%5Cfrac%7B2%7D%7B3%7D%20%29%20%5Ctimes%201%20%5Cfrac%7
fomenos

Answer: 0.1 or 1/10

Step-by-step explanation:

\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \:1\frac{1}{5}

1\frac{1}{5}=\frac{6}{5}

\left(\frac{3}{4}-\frac{2}{3}\right)\cdot \frac{6}{5}

  \frac{3}{4}-\frac{2}{3}    =\frac{9}{12}-\frac{8}{12}

=\frac{1}{12}

\frac{6}{5}\cdot \frac{1}{12}

Cross, cancel common factor

\frac{1}{2}\cdot \frac{1}{5}

=\frac{1}{10}

6 0
2 years ago
The area of a rectangle is 270 square feet. The ratio of the width to length is 5:6. Find the length and width
IrinaK [193]
Width: 122.73
Length: 147.27
8 0
2 years ago
PLS ANSWER FAST!! WILL GIVE BRAINLIEST!!
horrorfan [7]

Answer:

500^1/3

Step-by-step explanation:

Since it is a cube root, the exponent is 1/3.

8 0
1 year ago
A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game,
Elina [12.6K]

The value of P(R = 3) is 0.2854

<h3>Probability</h3>

Probabilities are used to determine the chances of events.

The given parameters are:

  • n = 38 --- the number of slots
  • red = 18. --- the number of red slot
  • black = 18. --- the number of black slot
  • green = 2. --- the number of green slot

<h3>Individual probabilities</h3>

The probability that the ball lands on a red slot is calculated as:

p = \frac{18}{38}

Simplify

p= \frac{9}{19}

The probability that the ball does not land on a red slot is calculated as:

q = \frac{18+2}{38}

q = \frac{20}{38}

Simplify

q = \frac{10}{19}

<h3>Binomial probability</h3>

The value of P(R = 3) is then calculated using the following binomial probability formula

P(R = r) = ^nC_rp^rq^{n-r}

Where:

n = 7

r = 3

So, we have:

P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}

P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4

P(R = 3) = 0.2854

Hence, the value of P(R = 3) is 0.2854

Read more about probabilities at:

brainly.com/question/15246027

8 0
2 years ago
Read 2 more answers
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate
nikdorinn [45]
Log(2)/log(1.064) ≈ 11.17 . . . . hours

_____
The population can be given by
  p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
  2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
  2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
  log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
  log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
4 0
2 years ago
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