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marta [7]
3 years ago
12

My math problem went from 10a+15=65 to 10a+15-15=65-15. Explain what happened in this step.

Mathematics
2 answers:
emmainna [20.7K]3 years ago
5 0

Answer:

You are subtracting 15 from both side to isolate 10 a it would look like this afterwards:

10a=65-15

And you continue to solve

Step-by-step explanation:

balandron [24]3 years ago
3 0
You subtracted 15 from both sides so you can isolate 10a.
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What are the period and amplitude of the function?
lianna [129]

ANSWER

Period: 2π , amplitude: 4

EXPLANATION

The graphed function is

y =  4\cos(x)

The amplitude of this function is

|4|  = 4

The period is 2π because there is no phase shift hence the period is still equal to the parent function.

Period: 2π , amplitude: 4

5 0
3 years ago
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Solve for a and b in the following circles:<br> A)
rjkz [21]

Given:

A quadrilateral inscribed in a circle.

To find:

The values of a and b.

Solution:

A quadrilateral inscribed in a circle. So, the quadrilateral is a cyclic quadrilateral.

We know that the sum of the opposite angles of a cyclic quadrilateral is 180 degrees.

a+79^\circ=180^\circ

a=180^\circ-79^\circ

a=101^\circ

We know that the measure of arc is twice of measure of subtended angle on that arc.

(110^\circ+b)=2(96^\circ)

110^\circ+b=192^\circ

b=192^\circ-110^\circ

b=82^\circ

Therefore, the value of a is 101 degrees and the value of b is 82 degrees.

7 0
3 years ago
A real estate agent has 8 master keys to open several new homes. Only 1 master key will open any given house. If 40% of these ho
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Suppose F represents the value that a room is unlocked.

Then, we can assume that the probability of unlocked homes is:

P(unlocked homes) = P(U)

P(unlocked homes) = 40%

P(unlocked homes) = 0.40

Also, let us represent the value of the locked room with G.

P(locked homes) = P(G)

P(locked homes) = (1 - 0.40)

P(locked homes) = 0.60

Let the probability of selecting a correct key be P(S)

It implies that for the agent to use 3 keys, we have a combination of ^8C_3 possible ways for the set of keys.

Now; since only one will open the house, then:

P(select correct key) = P(S)

P(S) = \dfrac{ (^1_1) (^7_2)   }{   ^8_3 }

P(S) = \dfrac{21}{56}

P(S) = 0.375

Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:

P(F ∪ (G∩S) = P(F) + P(G∩S)

P(F ∪ (G∩S) = P(F) + P(G) × P(S)

P(F ∪ (G∩S) = 0.40 + (0.60×0.375)

P(F ∪ (G∩S) = 0.40 + 0.225

P(F ∪ (G∩S) =0.625

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3 years ago
Which expression is equivalent to 9c + 7c
nadezda [96]

Answer:

Yes  I know

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Step-by-step explanation:

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6 0
3 years ago
How do you solve this?
trapecia [35]

Answer: 140^3

Step-by-step explanation:

The 3 is an exponent. To solve this, you basiclly have to multiply the three numbers and add a 3 exponent.

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3 years ago
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