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Eva8 [605]
2 years ago
11

The circumference of a circle is 15π units. How many units long is its diameter? (Use only the digits 0 - 9 and the decimal poin

t, if needed, to write the answer.)
Mathematics
1 answer:
Lyrx [107]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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Find a value for the following: (3+2)^3
dsp73
The answer is 125


To solve:

(3+2)=5. *Parentheses first*

5^3 = 125
8 0
3 years ago
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"Find the tangent ratio of angle Θ. <br><br> "
PSYCHO15rus [73]
Tangent Θ = opposite / adjacent

AB = short leg = opposite = 12
AC = long leg = adjacent = 5
BC = hypotenuse = 13

tangent Θ = 12/5 ⇒⇒⇒ this is in ratio form
tanΘ = 2.4   ⇒⇒⇒ this is in decimal form
8 0
3 years ago
Read 2 more answers
Answers :
alexdok [17]
The correct answer is B
8 0
3 years ago
Let A and B be events with =PA0.7, =PB0.3, and =PA or B0.9. (a) Compute PA and B. (b) Are A and B mutually exclusive? Explain. (
kvasek [131]

Answer:

a) P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

b) False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

c) False

In order to satisfy independence we need to have the following condition:

P(A \cap B) = P(A) *P(B)

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

Step-by-step explanation:

For this case we have the following probabilities given:

P(A) = 0.7, P(B) =0.7, P(A \cup B) =0.9

Part a

We want to calculate the following probability: P(A \cap B)

And we can use the total probability rule given by:

P(A \cup B) = P(A) +P(B) - P(A\cap B)

And if we solve for P(A \cap B) we got:

P(A \cap B) = P(A) + P(B) -P(A\cup B)= 0.7+0.3-0.9 = 0.1

Part b

False

The reason is because we don't satisfy the following relationship:

P(A\cup B) = P(A) + P(B)

We have that:

0.9 \neq 0.3+0.7 =1

Part c

False

In order to satisfy independence we need to have the following condition:

P(A \cap B) = P(A) *P(B)

And for this case we don't satisfy this relation since:

0.1 \neq 0.7*0.3 = 0.21

4 0
3 years ago
Need help with solving both of these questions for geometry homework.
faltersainse [42]

Answer:

m<R = m<T = 80.5 deg

Step-by-step explanation:

3)

Since WXYZ is a square, <WXZ is formed with a diagonal of the square and has measure 45 deg.

m<WXZ = 8x - 19 = 45

8x - 19 = 45

8x = 64

x = 8

4)

Draw the kite. Make sure that segments QR and RS are not congruent. Fill in the given angle measures. Angles R and T are congruent opposite angles.

The sum of the measures of the interior angles of a convex, n-sided polygon is

180(n  2).

A kite is a quadrilateral, so n = 4.

180(4 - 2) = 180(2) = 360

The sum of the measures of the interior angles of a kite is 360 deg.

m<Q + m<R + m<S + m<T = 360

75 + m<R + 124 + m<T = 360

m<R + m<T + 199 = 360

m<R + m<T = 161

m<R = m<T, so we substitute m<T with m<R.

m<R + m<R = 161

2m<R = 161

m<R = 80.5

m<R = m<T = 80.5 deg

8 0
3 years ago
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