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NikAS [45]
3 years ago
8

A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two

congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

A is TRUE (44 in²*2=88 in²)

B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)

C is TRUE if x(x-3)=88==>x²-3x-88=0

D is TRUE :

x²-3x-88=0

Δ=9+4*88=361=19²

==>x= 11 or x=-8 (excluded for <0)

E is FALSE for 11*4≠88

Step-by-step explanation:

correct me if i am wrong

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If you flip 2 coins, what is the probability of getting exactly 2 heads
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Answer:

This states that the probability of the occurrence of two independent events is the product of their individual probabilities. The probability of getting two heads on two coin tosses is 0.5 x 0.5 or 0.25.

Step-by-step explanation:

The probability of getting 2 heads with 2 coins can be broken into 2 steps:

The first coin must show Heads AND

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P(H) x P(H)= 1/2 x 1/2 =1/4

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3 years ago
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A study on the population of wolves is being done in a county to determine how the number of wolves has changed over time. The p
mr_godi [17]

Answer:

<h2>The year is 2010.</h2>

Step-by-step explanation:

The population of wolves is given by P(t) = 80(0.98)t.

The study has began in the year of 2000 and will end in 2020.

The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.

Hence, the maximum value of t is 11.

The domain is 0 \leq t \leq 11.

The population will be 80, that is P(t) = 80.

Hence, 0.98t = 1, or, t = \frac{1}{0.98} = \frac{100}{98}  = \frac{50}{49} ≅1.

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zlopas [31]

Answer:

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Now we need to factor that quadratic and solve for time:

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Since -2 definitely does not equal 0, then

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Factor that and find t values of 4 and -2.  Again, we know that time will never be negative, so

t = 4 seconds.

5 0
3 years ago
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