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lana [24]
3 years ago
12

angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of

each angle.
Mathematics
2 answers:
eimsori [14]3 years ago
5 0

Answer:

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are <em>complementary</em>, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.

M is measure of angle M

N is measure of angle N

M + N = 90 degrees

M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)

We can then use the second equation to substitute in M in the first equation with N - 38

N - 38 + N = 90

2N - 38 = 90

2N = 128

N = 64 degrees

We plug this value back into the first equation to find M

M + 64 = 90

M = 26 degrees

WARRIOR [948]3 years ago
3 0

Answer:

26, 64

Step-by-step explanation:

M=N-38

M+N=90

M=26

N=64

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The formula A = Pe^rt calculates the amount an investment earning a nominal rate of r compounded continuously is worth. Show tha
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Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

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t = In2/ r ; Hence, the proof

5 0
3 years ago
Find the error in the following sample of work, if one exists.
ch4aika [34]

Answer:

D. There is no mistake.

Step-by-step explanation:

The following lines show the process of factorization by using common factor.

<u>Line 1:</u>

In line 1, the equation is given and is completely fine.

y^{2}+8xy+2y+16x=0

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.

<u>Line 2:</u>

In line 2, the terms are grouped, from which we can factor out common terms.

(y^{2}+8xy)+(2y+16x)=0

This is also fine.

<u>Line 3:</u>

In line 3, the common term y is taken out from group 1 and 2 from other group.

y(y+8x)+2(y+8x)=0

which is exactly what is given in line 3.

<u>Line 4:</u>

In line 4 the common factors can be seen and easily split into 2 factors.

(y+2)(y+8x)=0

which is exactly what is given in line 4.

Options:

A. The grouping is correct in line 2. So this option is does not hold.

B. Common factor was factored correctly from group 1. So this option does not hold.

C. Common factor was factored correctly from group 2. So this option does not hold.

D. There is no mistake. This is correct. Thus we choose this option as correct answer.

3 0
3 years ago
an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proporti
LuckyWell [14K]
Rate = 2 seats/11 minutes = 2/11  seats/min

Therefore the time required for s seats is
(m \, min) =  \frac{s \, seats}{ \frac{2}{11} \,  \frac{seats}{min} } =  \frac{11s}{2} \, min
That is,
m = (11s)/2 min

When s = 16, obtain
m =  \frac{11(16)}{2} = 88 \, min

When s = 19, obtain
m =  \frac{11(19)}{2} = 104.5 \, min

Answers:
m = \frac{11s}{2}
When s = 16, m = 88 min
When s = 19,  m = 104.5 min


3 0
3 years ago
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