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STatiana [176]
3 years ago
7

The population of a country in 1950 was 6.2 X 107. The population in 2030 is

Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

The population of the country be in 2030 is 1.86\times 10^{10}

Step-by-step explanation:

The population of a country in 1950 was 6.2\times 10^7

The population in 2030 is  projected to be 3 \times10^2 times the 1950 population.

If the projection is correct.

which means the population in 2030 is  projected to be 3 \times10^2 times the 1950 population.

i.e. population of the country be in 2030 is

P=(3 \times10^2)\times (6.2\times 10^7)

P=(3\times6.2)\times (10^2\times 10^7)

P=18.6\times 10^9

P=1.86\times 10^{10}

Therefore, the population of the country be in 2030 is 1.86\times 10^{10}

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Please find the missing side of the triangle and round the answer to the nearest tenth. Thanks.
SashulF [63]

Answer:

39.6

Step-by-step explanation:

Given in the right angled triangle above are:

Ѳ = 49°,

Adjacent length = 26

Hypotenuse length = x

To find x in the right angled triangle given above, apply the trigonometric formula, cos Ѳ = adjacent length/hypotenuse length

Thus,

cos(49) = \frac{26}{x}

Multiply both sides by x

cos(49)*x = \frac{26}{x}*x

cos(49)*x = 26

0.6561*x = 26

Divide both sides by 0.6561 to find x

\frac{0.6561*x}{0.6561} = \frac{26}{0.6561}

x = \frac{26}{0.6561}

x = \frac{26}{0.6561}

x = 39.63

x = 39.6 (to nearest tenth)

8 0
3 years ago
Do ASAP OVER DUE points, Brainliest, thanks
kow [346]

Answer:

Is this the exact persson and question I refused to do?

Step-by-step explanation:

3 0
3 years ago
Paul, Colin and Brian are waiters.
Kisachek [45]

Add the ratios together: 2 + 3 +4 = 9

Divide the total tips by 9:

77.40 / 9 = 8.60

Multiply each portion of the ratio by 8.60:

2 x 8.60 = 17.20

3 x 8.60 = 25.80

4 x 8.60  = 34.40

The ratios are in order of the people:

Paul got 17.20

Colin got 25.80

Brian got 34.40

Brian got 34.40 - 17.20 = 17.20 more than Paul

7 0
3 years ago
Find slope intercept form of 5x+8y=120 passing through (4,5)
yarga [219]

Answer:

y=-(5/8)x+(15/2)  or  y=-0.625x+7.5

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

5x+8y=120

isolate the variable y

8y=-5x+120

y=-(5/8)x+15

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

so

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=-5/8 and point (4,5)

substitute and solve for b

5=-(5/8)(4)+b

b=5+(20/8)

b=60/8=15/2=7.5

substitute

y=-(5/8)x+(15/2)

or

y=-0.625x+7.5

5 0
3 years ago
Area of DEF = 6 sq ft
Anna11 [10]

Answer:

54 ft^2

(54 in green box; 2 in grey box)

Step-by-step explanation:

We have 2 similar triangles, ABC and DEF.

The area of triangle DEF is given as 6 sq ft.

Side BC of triangle ABC measures 12 ft.

The corresponding side to BC in triangle DEF is EF. It measures 4 ft.

That gives us a scale factor from triangle DEF to triangle ABC.

<em>To find the scale factor between two similar polygons, divide the length of a side of the second polygon by the length of the corresponding side of the first polygon.</em>

scale factor = BC/EF = (12 ft)/(4 ft) = 3

The scale factor of side lengths is 3.

The ratio of the areas is the square of the scale factor.

ratio of areas = 3^2 = 9

Now multiply the area of the first triangle (DEF) by the ratio of areas to get the area of the second triangle (ABC).

area of triangle ABC = 9 * (area of triangle DEF)

area of triangle ABC = 9 * (6 sq ft)

area of triangle ABC = 54 sq ft

Answer: 54 ft^2

(54 in green box; 2 in grey box)

6 0
4 years ago
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