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valentina_108 [34]
2 years ago
9

the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.

Mathematics
1 answer:
Charra [1.4K]2 years ago
4 0

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

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In quadrilateral DBCA, name the angles which are consecutive with angle D.
lisov135 [29]

Answer: The consecutive angles with angle D are B and A.

Explanation:

It is given that DBCA is a quadrilateral. Since it is a quadrilateral it means the have 4 vertices and 4 angles D, B,C,A.

The angles are formed in the order of the figure name. If the quadrilateral name is DBCA, So the order of the angles are D,B,C,A. It means the angle immediate after D is B, the angle immediate after B is C, the angle immediate after C is A and the angle immediate after A is D.

If the quadrilateral name is DBCA it means the sides are DB, BC, CA and AD as shown in the figure.

Consecutive angles of D means the angle immediate before and after the angle D.

In the figure there are some types of quadrilateral and from the figure we can easily noticed that the consecutive angles with angle D are B and A.

3 0
3 years ago
Read 2 more answers
Irene knows there are 22 cups in 11 pint. She writes the equation c=2pc2p to find the number of cups, cc, in any number of pints
Juli2301 [7.4K]
The answer is: No
Becuase the equation itself is not correct. The equation is c = 2p.
Good Luck!
4 0
3 years ago
Read 2 more answers
Mark made a scale drawing of a soccer field, using a scale of .5 cm=1m. The actual length of the field is 110 m. What is the len
nataly862011 [7]

Answer:

The length of the field on the drawing is 55 cm.

Step-by-step explanation:

Given:

Mark made a scale drawing of a soccer field.

Using a scale of .5 cm=1 m.

The actual length of the field is 110 m.

Now, to find the length of the field on drawing.

Let the length of the field on drawing be x.

As given 0.5 cm is equivalent to 1 m.

Thus, x is equivalent to 110 m.

Now, to get the length of the field on drawing by using cross multiplication method:

\frac{0.5}{1} =\frac{x}{110}

<em>By cross multiplying we get:</em>

⇒ 55=x

⇒ x=55

Therefore, the length of the field on the drawing is 55 cm.

8 0
3 years ago
A Game of Thrones fan predicts there is a 70% chance that her favorite character will survive the next season and a 75% chance t
zepelin [54]

Answer:

  • <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>

  • <u>This kind of probability is called conditional probability</u>

Explanation:

Name the events and their probabiities:

  • Event  A: her favorite character will survive, so P (A) = 0.70

  • Event B: her her second favorite character will die, so P(B) = 0.75

  • Both characters will die ⇒ P (B and not A) = 0.16

You want to find P (B | not A).

That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.

  • P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3

So, you have P(B), P(not A) and want to find P (B | not A)

The definition of conditional probability is:

  • P (X | Y) = P (X and Y) / P (Y)

So, replacing with our terms, we get:

  • P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53
5 0
3 years ago
Need answer please!!!!!!
patriot [66]
Answer is D i’m sure but unit test don’t matter as much so don’t stress
7 0
3 years ago
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