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asambeis [7]
3 years ago
15

Create a problem that would have the answer 3x+12

Mathematics
1 answer:
oee [108]3 years ago
7 0

Answer:

Problem:

Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width. Take width as 'x'.

Step-by-step explanation:

Consider a rectangle such that the length of the rectangle is 12 more than thrice its width. Find a formula for the length in terms of its width.

Let the width be 'x'.

Therefore, as per question, length is 12 more than thrice the width.

Thrice the width means 3x. 12 more means adding 12 to the result.

Therefore, the length of the rectangle is 3x+12

So, the above question expresses the length of the rectangle as 3x+12 which is the required answer.

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An initial of the $100 is now valuated at $150. The annual interest rate is 5%, compounded continuously. The equation 100e^0.05=
tangare [24]

Answer:

8 years approximately

The problem (I'm assuming is):

Solve 100e^{0.05t}=150.

I put a t in the problem where I suspected it in went.

Step-by-step explanation:

100e^{0.05t}=150

Divide both sides by 100:

e^{0.05t}=\frac{150}{100}

e^{0.05t}=1.5

Rewrite in logarithm form.

\ln(1.5)=0.05t

Divide both sides by 0.05:

\frac{\ln(1.5)}{0.05}=t

Put left hand side into calculator:

8.109 \approx t

t \approx 8.109

So about 8 years if I wrote down the equation correctly.

4 0
3 years ago
Read 2 more answers
Which postulate or theorem can be used to
sveticcg [70]

Answer:

AA Similarity Postulate

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

step 1

Verify the proportion of the corresponding sides

\frac{PS}{PQ}=\frac{PT}{PR}

substitute

\frac{45}{20}=\frac{36}{16}

2.25=2.25 ----> is true

Corresponding sides are proportional

Triangle PQR is similar to Triangle PST

That means

Corresponding angles must be congruent

side QR is parallel side ST

and

m\angle PQR=m\angle PST ----> by corresponding angles

m\angle PRQ=m\angle PTS --> by corresponding angles

so

PQR is similar to PST by AA Similarity Postulate

4 0
3 years ago
Right △EFG has its right angle at F, EG=8 , and FG=2 .
d1i1m1o1n [39]

Answer:

Tan E = 2 / 7.75

Sin G = 7.75 / 8

Sec G = 4

Step-by-step explanation:

Find the attached document for better illustration of the triangle

Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.

FG = 2 = opposite side of the triangle.

We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.

EG² = FG² + EF²

EF² = EG² - FG²

EF² = 8² - 2²

EF² = 64 - 4

EF² = 60

EF = √(60)

EF = 7.7459 = 7.75

To find the respective trignometric ratio, we can use the relation SOH CAH TOA

Sine = opposite / hypothenus

Cosine = adjacent/ hypothenus

Tangent = opposite/ adjacent

A. tan E

Tan E = opposite/ adjacent

Tan E = 2 / 7.75

Tan E = 0.2580

B. Sin G = opposite / hypothenus

Sin G = 7.75 / 8

Sin G = 0.9687

C. Sec G = 1 / cos G

Cos G = adjacent / hypothenus

Sec G = 1 / (adjacent / hypothenus)

Sec G = hypothenus/ adjacent

Sec G = 8 / 2

Sec G = 4

5 0
3 years ago
The table below shows the number of marbles of different colors in a bag:
vaieri [72.5K]
I thinkmis B
6/18 *5/17
7 0
3 years ago
Simplify. (12c + 3d + 2) + (4c + 8d + 9)
Dovator [93]
16c+11d+11 
:-) good luck 
6 0
3 years ago
Read 2 more answers
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