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2 years ago

Two similar figures have sides in the ratio of 23. If a side of the smaller triangle has a length of 7, what is the length of

Mathematics

1 answer:

Shkiper50 [21]2 years ago

5 0

A. 2 parts is 7, so 7/2 is 3.5 = 1 part, then multiply by 3 to make the corresponding side which is 10.5 or 10 1/2

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Find the factors of f(x) given that x = 5 is a zero.

77julia77 [94]

If x = 5 is a zero of the given polynomial, then,
(x - 5) is a factor of the polynomial. [Since, x = 5 or, x - 5 = 0]
Now, divide the polynomial with (x - 5) using long division method. (See the picture)
We get (x^2 - x - 6) as the quotient.
Now, factorise the above polynomial:
(x^2 - x - 6)
= (x^2 - 3x + 2x - 6)
= x(x - 3) + 2(x - 3)
= (x - 3)(x + 2)
Therefore, x^3 − 6x^2 − x + 30 = (x − 5)(x − 3)(x + 2)

Answer:

B.(x − 5)(x − 3)(x + 2)

Hope you could get an idea from here.

Doubt clarification - use comment section.

8 0

2 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

Which of the following expressions results in 0 when evaluated at x = 4?

fenix001 [56]

The answer is B. because (4-10) equals -6 and (4-4) equals 0. -6 times 0 is 0.

3 0

3 years ago

Which is the better deal? Question 2 options: 1 lb of apples for $2.50 3 lbs of apples for $4.25 5 lbs of apples for $7.20 10 lb

dem82 [27]

3 lbs of apples for 4.25

4 0

3 years ago

HELP PLZ AND I WILL GIVE U BRAINLIEST

arsen [322]

Answer:

Step-by-step explanation:

1. A

2. 6/10; 1/10

5's are in 10

6/10

8 0

3 years ago

Read 2 more answers