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2 years ago

Find x (geometry) plz help

Mathematics

1 answer:

Ilya [14]2 years ago

6 0

Step-by-step explanation:

$\frac{ \sin(x) }{12} = \frac{ \sin(75) }{22} \\ \sin(x) = \frac{12 \sin(75) }{22} \\ \sin(x) = 0.5268 \\ x = 31.79 = 31.8$

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What is the value of m in the equation 38(m−29)=434 ?

Len [333]

38(m - 29) = 434...distribute thru the parenthesis
38m - 1102 = 434...add 1102 to both sides
38m = 434 + 1102
38m = 1536....divide both sides by 38
m = 1536/38
m = 768/19 or 40 8/19

8 0

3 years ago

Cara and Jena, working together, can clean the house in 4

kirill115 [55]

Answer:

$\frac{4}{3}$ hrs/house

Step-by-step explanation:

Rate is the amount of work done per unit of time;

Let Cara's rate = C

Let Jena's rate = J

C + J = 4 ------ i

Now;

Working alone:

Jena takes twice as long as Cara

J = 2C ---- i

How long does it take Cara to clean a house alone

C + J = 4

J = 2C

C + 2C = 4

3C = 4

C = $\frac{4}{3}$ hrs/house

6 0

3 years ago

What is the simplified form of 2n+3(n+4)

Andrews [41]

Answer:

5n + 12

Step-by-step explanation:

Perform the indicated multiplication. Then combine like terms:

2n + 3n + 12 = 5n + 12 (answer)

5 0

3 years ago

A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi

omeli [17]

Answer:

a) $M(t)=24000-14000e^{t/10}$

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

$\frac{dM}{dt}=0.1M-2400$

We can express this equation as:

$\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}$