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finlep [7]
3 years ago
15

Solve the equation for x. Express the solution as a logarithm in base-e.

Mathematics
1 answer:
pshichka [43]3 years ago
4 0
Divide both sides by 4
e^(2.7x) = 8.25

Take natural logarithm of both sides
2.7x = ln 8.25

x = (ln 8.25)/2.7 = ln (8.25^(1/2.7))
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Show that triangle MPT =Triangle MTP​
exis [7]

Unusual notation.  I won't fuss with it.

a. We have isosceles PRT, so angle  RPT = angle RTP.

By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.

We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP

Similarly, m angle RPT = 2 m angle MPT

2 m angle MTP = 2 m angle MPT

angle MPT = angle MPT

That's the first part.

b. That makes MPT isosceles.

c. 2x+124=180

2x = 56

x = 28 degrees

MTP = 28 degrees

d.  We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees

PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees

Bad drawing, PUT looks acute.

angle PRT = 68 degrees, angle PUT = 96 degrees

3 0
4 years ago
Help me with this please ​
Crazy boy [7]

A) 10s=2m

B) It would take 20 seconds for 4 miles

4 0
3 years ago
2x2-50=0 me ajudem por favor e pra amanha
kvv77 [185]

Answer:

-46

Step-by-step explanation:

2×2=4-50 lol lol lol

3 0
3 years ago
Read 2 more answers
Which ratio can you get by scaling up the ratio 5/6 / 1/3? Select all that apply.
Liula [17]

Answer:

the answer is 5/2 or alternative form 2*1/2 so the answer is C

3 0
3 years ago
Read 2 more answers
If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle
deff fn [24]
Let's create this right triangle.  We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C.  If the ratio is 5:4, then it is A:C.  5+4 = 9.  The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10.  So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees.  The smallest angle, angle C, is 40 degrees.
6 0
4 years ago
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