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Digiron [165]
2 years ago
15

Two angles are given M angle g = (2x-90) M angle h=(180-2x) Which statements are true about angle G and angle H it's both angles

are greater than zero?Select all that apply.
Mathematics
1 answer:
shtirl [24]2 years ago
8 0

Answer:

angle g and h are complementary angles.

Step-by-step explanation:

Given the angles

g = (2x-90

h = 180 - 2x

Taking the sum of the angles

g + h = 2x- 90 + 180 - 2x

g + h = 2x - 2x - 90 + 180

g = h = -90+ 180

g + h = 90degrees

Since complementary angles are angles that their sum id 90degrees, hence  angle g and h are complementary angles.

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3 0
3 years ago
The population of coyotes in the northwestern portion of Alabama is given by the formula p (t )equals (t squared plus 100 )ln (t
elena-14-01-66 [18.8K]

Answer:

The rate of change of the Coyote population in 2002 is 32

Step-by-step explanation:

Given the formula for the population of a Coyotes in the Northwestern portion of Alabama, we are to calculate rate of change of the Coyote population in the year 2002 where t = 2

The formula is given as;

P(t) = (t^2 + 100) ln (t + 2)

The rate of change refers to the first integral of the formula;

Thus we need to calculate this by the use of product formula;

The first differential of t^2 + 100 is 2t

while that of ln(t + 2) is 1/(t + 2)

P’(t) = 2t(ln (t+2)) + (t^2 + 100) (1/t+2)

Now, we substitute 2 for the value of t here.

P’(2) = 2(2)( ln (2 + 2) + (2^2 + 100)(1/(2+2))

P’(2) = 4 ln 4 + 104(1/4)

P’(2) = 4ln 4 + 26

P’(2) = 5.55 + 26 = 31.55 which is approximately 32

8 0
3 years ago
Pls answer me this all question correctly pls I beg you pls friends pls pls pls pls pls pls pls pls​
Andre45 [30]

Answer:

a. \: 28

b. \: 5

Step-by-step explanation:

a. \: 88 \div 3 \frac{1}{7}

88 \div  \frac{22}{7}

Multiply the numerator by the reciprocal of the denominator.

88 \div  \frac{7}{22}

4 \times 7

28

b. \: 49 \frac{2}{9}  \div 9 \frac{4}{9}

\frac{425}{9}  \div  \frac{85}{9}

Multiply the numerator by the reciprocal of the denominator.

\frac{425}{9}  \times  \frac{9}{85}

5

<h3>Hope it is helpful...</h3>
5 0
3 years ago
Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack cos
Whitepunk [10]

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

4 0
3 years ago
If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the
Olin [163]

It takes 1.5 hours for 4 workers to paint the same room

<em><u>Solution:</u></em>

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}

Where, "k" is the constant of proportionality

<em><u>3 workers can paint a room in 2 hours</u></em>

Substitute number of workers = 3 and time = 2 hours

time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6

Therefore,

\text {time}=6 \times \frac{1}{\text { number of workers }}

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

time = 6 \times \frac{1}{4} = 1.5

Thus it takes 1.5 hours for 4 workers to paint the same room

6 0
3 years ago
Read 2 more answers
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