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pshichka [43]
3 years ago
7

Half the difference between the fourth multiple of a number and 16 is 6. What is the number?

Mathematics
1 answer:
Musya8 [376]3 years ago
5 0

Answer:

The number you are looking for is 28.

Step-by-step explanation:

Half the difference of the fourth multiple of a number and 16 equaling 6 looks like this equation:

N - 16/2 = 6.

The first step to finding the value of "N" is to multiply each side by 2.

2(N - 16/2) = 2(6).

The result is N - 16 = 12.

Next, you need to isolate "N" by itself.

Perform inverse operations to get "N" by itself. We need to get rid of -16.

The inverse operation of subtraction is addition.

So add 16 to both sides.

N - 16 + 16 = 12 + 16.

The result is N = 28.

That means the number that makes the problem true is 28.

Let's check to make sure by plugging 28 into the original equation.

28 - 16/2 = 6.

12/2 = 6.

6 = 6.

So the answer to this question is that the number is 28.

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If the proportion of iris to roses in Nikki's garden is 2: 5, it means that for 25 roses: (2/5) = (10/25). Therefore to maintain the proportion by adding 20 roses: (2/5) = (18/45). The number of irises after the addition of roses will be 10 + 18 = 28 irises.
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3 years ago
Find the measure of the largest angle in ABC if a = 12, b = 8 and c = 13.
Papessa [141]

Answer:

C=78.28^{\circ \:}

Step-by-step explanation:

We are given a triangle

whose sides are

a=12

b=8

c=13

Since, c is largest among them

So, angle C must be largest angle

we can find angle C

we can use law of cosine formula

cos(C)=\frac{a^2+b^2-c^2}{2ab}

now, we can plug values

cos(C)=\frac{12^2+8^2-13^2}{2\times 12\times 8}

cos(C)=\frac{13}{64}

now, we can find angle

we get

C=78.28^{\circ \:}

5 0
3 years ago
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UkoKoshka [18]

Answer:

32

Step-by-step explanation:

The sides of the quadrilateral are tangents to the circle.

Tangents drawn from an external point to the circle are congruent

5+5+4+4+3+3+4+4=32

8 0
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galben [10]

Step-by-step explanation:

the answer is in the image above

6 0
3 years ago
Quadrilateral ABCD has the following vertics:A( -3,0) B (7,2) C (1,-4) D (-9,-6) is Quadrilateral A B C D a parallelgram, and wh
alekssr [168]

Answer:

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