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alexira [117]
3 years ago
5

Find the measure of angle 3. measure of angle 1 = x measure of angle 2 = x-6

Mathematics
1 answer:
andrew11 [14]3 years ago
5 0
The value of x would equal to 8
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What does -4x+7=11 equal ?
viktelen [127]
-7 to make 4 so -4x=4 x=-1

The answer is x=-1

Hope this helps:)
6 0
3 years ago
Read 2 more answers
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

A = \frac{L}{k}  - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{0}\\\frac{L}{k}  = \frac{C"}{k} \\C" = L

A = \frac{L}{k}  - \frac{L}{k} e^{kt}

So, D = R - A =

D = \frac{L}{k} - \frac{L}{k}  - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}

when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
2 years ago
2 Points
Norma-Jean [14]

Answer:

36

Step-by-step explanation:

someone told me. this will make it easier for u

3 0
3 years ago
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.
iVinArrow [24]
The area of the table is 3.75 feet
The boxes are .83333 feet by .83333 feet so that area is .69
.69x3 is 2.07 so yes they will fit on top of the table
6 0
3 years ago
Wich number is the principal square root of 49
myrzilka [38]
A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.

If you take the square root of 49, you get either -7 or 7, since both 7^{2} and (-7)^{2} equal 49. However, the principle square root would be A) 7, since it's not negative.
3 0
2 years ago
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