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3 years ago

Somebody help plz!!!

Mathematics

2 answers:

amid [387]3 years ago

4 0

Answer:

42°

Step-by-step explanation:

angle b is complementary to 48° so their sum is 90°.

dalvyx [7]3 years ago

3 0

Answer:

Step-by-step explanation:

48 + b = 90

90 - 48 = 42

b = 42

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A statistician finds that the population P of a small developing country has been increasing at a rate of 3.65% annually. In 200

iren [92.7K]

Answer:

15.035 years

Step-by-step explanation:

The exponential function to calculate population growth is

P(t) = Poe^kt

P(t) = Population size after t years = 3.6 million

Po = Initial population size = 2.1 million

k = growth rate = 3.65% = 0.0365

t = time in years = ???

Hence:

3600000 = 2100000 × e ^0.0365t

Divide both sides by 2100000

3600000/2100000 = e^0.0365t

1.7142857143 = e^0.0365t

Find the log of both sides

Log 1.7142857143 = log (e^0.0365t)

Log 1.7142857143 /Log 0.0365 = t

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5 0

3 years ago

Given that a x 70 = b work out the value of 3b/a Your final line should say, 3b/a = ...

Leto [7]

Answer:

$\frac{3b}{a} = 210$

Step-by-step explanation:

Explanation:-

Given that a× 70 = b

Dividing 'a' into both sides, we get

⇒ $\frac{b}{a} = 70$

we have to find the value $\frac{3b}{a}$

$\frac{3b}{a} = 3 X \frac{b}{a}$

= 3× 70

= 210

3 0

3 years ago

Two parallel lines are crossed by a transversal. Parallel lines r and s are cut by transversal q. On line s where it intersects

8_murik_8 [283]

Answer:

The value of d is 55

Step-by-step explanation:

Given:

r and s are two parallel lines

q is the Transversal

uppercase left angle is 125 degrees

The bottom right angle is d degrees

To Find:

The value of d = ?

Solution:

We know that the sum of supplementary angles is $180^{\circ}$

Refer the diagram below,

Now

$125^{\circ} +( x )= 180^{\circ}$

$( x )= 180^{\circ}-125^{\circ}$

$( x )= 55^{\circ}$

Also we know that

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

So d will also be $55^{\circ}$