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2 years ago

Can a triangle have sides with the given lengths? Explain.

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

7 0

Answer:

Option A.

Step-by-step explanation:

12 cm, 17cm, 25 cm

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A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a who

Citrus2011 [14]

Answer:

40% * 71 = Markup price

40% of 71 is 28.4, so i added the two together and got 99.4

so...

$28.4 + $71 = $99.40

8 0

3 years ago

The measure of angle DAB = 132. The measure of angle ABC = 81. What is the measure of angle BCA

MArishka [77]

The answer to this question is 51 degrees because that outer angle is the sum of the opposite inner angles. It is the sum of the other angles not touching that angle.

8 0

3 years ago

In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the

andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0

3 years ago

F(x) = (x - 2)^2 + 2 find the range of the function

a_sh-v [17]

Vertex = (2, 2)
Range = {f(x): f(x) >= 2}

3 0

3 years ago

A car travels 20 mph slower in a bad rain storm than in sunny weather. the car travels the same distance in 2 hrs in sunny weath

ycow [4]

You can create two equations.

"A car travels 20 mph slower in a bad rain storm than in sunny weather."

$\sf x-20=y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

"The car travels the same distance in 2 hrs in sunny weather as it does in 3 hrs in rainy weather."

$\sf 2x=3y$

Where 'x' represents speed in sunny weather and 'y' represents speed in rainy weather.

We want to find the speed of the car in sunny weather, or 'x'. Plug in the value for 'y' in the first equation into the second equation.

$\sf \boxed{\sf x-20}=y$
$\sf 2x=3y\rightarrow2x=3(x-20)$

Distribute:

$\sf 2x=3x-60$

Subtract 3x to both sides:

$\sf -x=-60$

Divide -1 to both sides:

$\sf x=60$

So the car goes 60 mph in sunny weather.

5 0

3 years ago