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marin [14]
3 years ago
11

Find the measure of the angle complementary to the given angle. mZy = 15°

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer: 75 degrees

Step-by-step explanation:

The definition of a "complementary angle" is adding up to 90 degrees, and if one of the angles is 15 degrees, that angle measure and the unknown angle measure must add up to 90 degrees. To find the unknown, we subtract 15 from 90, and we get 75. Therefore, the answer is 75 degrees.

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Find the product. 43x8= ( 40=3) x 8
LenKa [72]

Answer:

=344

Step-by-step explanation:

(43)(8)

=344

3 0
2 years ago
F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
2 years ago
413 divided by 14 <br> How do you it?
guajiro [1.7K]
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413

Hope this helps :)
5 0
3 years ago
Read 2 more answers
The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin
almond37 [142]
Year        GDP
  y           (billion $)

1985       577

1986       577+ 3.2% of 577 = 577 * 1.032

1987       577* 1.032 + 3.2% of 577 * 1.032 = 577 * (1.032)^2

1988       577 * (1.032)^3

1989       577 * (1.032)^4

....           .... => model GDP = 577 * (1.032)^ (y - 1985)

Then, for GDP = $3.4 trillion = $3400 billion =>

3400 = 577 (1.032)^ (y - 1985)

Divide both sides by 577:

(1.032)^ (y - 1985) = 3400 / 577 = 5.892548

Apply logarith to both sides:

(y - 1985) log (1.032) = log 5.892548

=> y - 1985 = log (5.892548) / log(1.032) = 56.3 years

=> y = 1985 + 56.3 = 2041.3

Answer: 2041


8 0
3 years ago
I need the answer!!!
Maslowich

Answer:

The first one is 12

second one is 1

third one is 23

last one 5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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