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2 years ago

X + (x − 14) = 40. little confused

Mathematics

1 answer:

ikadub [295]2 years ago

7 0

Answer:

27is answer

Step-by-step explanation:

x+ x - 14 = 40

or, 2x = 40+ 14

or, 2x = 54

or, x = 54

or, x= 27

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How wide is the image on the stadium screen?

Alik [6]

Answer:

5.25ft

Step-by-step explanation:

10.5ft÷42=0.25ft per inch

then 0.25(per inch) multiplied by 21 will give you 5.25ft which is your answer

8 0

2 years ago

If $48,000 is invested in an account earning 3.1% interest compounded continuously, determine how long it will

Bas_tet [7]

Answer:

It will take about 35.439 years to triple.

Step-by-step explanation:

Recall the formula for continuously compounded interest:

$A=P\,e^{r*t}$

where "A" is the total (accrued or future) accumulated value, "r" is the rate (in our case 0.031 which is the decimal form of 3.1%), "P" is the principal, and "t" is the time in years (our unknown).

Notice also that even that the final amount we want to get is three times $48,000. So our formula becomes:

$3\,*\,48,000=\,48,000\,\,e^{0.031\,*t}\\\frac{3\,*\,48,000}{48,000} =e^{0.031*t}\\3=e^{0.031*t}$

Now,in order to solve for "t" (which is in the exponent, we use logarithms:

$ln(3)=0.031\,*\,t\\t=\frac{ln(3)}{0.031} \\t=35.439 \,\,years$

7 0

3 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

2 years ago

Read 2 more answers

Number three please !!!

kati45 [8]

I would say the answer is 5, please let me know if it’s right!

4 0

2 years ago

Stemson was charged $140 plus a pickup charge of $20 to ship 4 identical boxes by Fast Ship. The pickup charge applies regardles

poizon [28]

Answer:35

Step-by-step explanation:140/4

5 0

2 years ago