Find the measure of the missing angles.

Kate can see across the horizon by 3.33 times further than Paul.

The volume of the cone can be used to determine how far they can see across the horizon from the cone shape.

Using the volume of the cone

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

For Kate:

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{50 }{3}}[/tex]

V = 2.12526863 × 10¹⁵ m³

For Paul

[tex]\mathbf{ V=\pi r \dfrac{h }{3}}[/tex]

[tex]\mathbf{ V=\pi \times (6371000)^2 \times \dfrac{15 }{3}}[/tex]

V = 6.3758059 × 10¹⁴ m³

To determine how much further can kate see across the horizon than Paul, we have:

= 2.12526863 × 10¹⁵ m³/6.3758059 × 10¹⁴ m³

= 3.33 times further.

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Step-by-step explanation:

area of quadrilateral = sum of area of triangles

area of triangle ADC = .5 * b * h

= .5 * 12 * 5 = 30 km^2

area of ∆ABC = .5 * sinx* ab* ac

= .5 * sin 30 * 3* 13 = 39/4 = 9.75 km^2

area of quadrilateral = 39.75 km^2

total cost =$ 397.5 million

Answer:

9

Step-by-step explanation:

substitute m = 5 and n = 29 into the expression

n - 4m

= 29 - 4(5)

= 29 - 20

= 9

Answer:

answer is 9/16 (9 over 16) Decimal form 0.5625

Step-by-step explanation:

Federal agencies have the power to enforce those laws through regulation. State lawmakers, in turn, make laws that typically supplement federal legislation. State government regulation examples include setting a higher minimum wage than the federal requirement

Adding extra tax for Imported goods rather than Built in country goods

Look at a situation

Answer:

multiply the number with 4

Step-by-step explanation:

2 8 32 128

2x4 =8

8×4=32

32×4=128

128×4=512

[tex]\text{First term,}~ a =2\\\\\text{Common ratio,}~ r = \dfrac{8}2 = 4\\\\\text{Nth term} = ar^{n-1}\\\\\text{7th term} = 2 \cdot 4^{7-1} = 2 \cdot 4^6=8192\\ \\\text{Hence, the 7th term in the geometric series is 8192.}[/tex]

Answer:

y - 5 = 3(x + 7)

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 3 and (a, b ) = (- 7, 5 ) , then

y - 5 = 3(x - (- 7) ) , that is

y - 5 = 3(x + 7)

Answer:

M=3ft

Step-by-step explanation:

Use trigonometric ratio Sin to get M which is the opposite side of the given angle of 30°

[tex]sin = \frac{opp}{hyp} [/tex]

[tex]sin30 = \frac{m}{6} [/tex]

Multiply 6 on both sides:

[tex]6sin30 = m[/tex]

Use a calculator:

3=M

or..

use special angles:

Sin30=0.5

6×0.5=3

Therefore M is 3 ft

Answer:

288

Step-by-step explanation:

1/2*B*H

1/2*(6*12)*8

1/2*72*8

1/2*576

288

Answer:

[tex]V=288\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

[tex]V = \frac{b*h}{2}[/tex]

[tex]V = \frac{(6\ cm * 12\ cm) * (8\ cm)}{2}[/tex]

[tex]V = \frac{72\ cm*8\ cm}{2}[/tex]

[tex]V=\frac{576\ cm^2}{2}[/tex]

[tex]V=288\ cm^2[/tex]

Answer:  [tex]V=288\ cm^2[/tex]

Answer:

No

Step-by-step explanation:

Identify the equation for the circle

[tex](x-h)^2+(y-k)^2=r^2\\(x-2)^2+(y-13)^2=5^2\\(x-2)^2+(y-13)^2=25[/tex]

Check if (2,-11) is a point on the circle

[tex](x-2)^2+(y-13)^2=25\\(2-2)^2+(-11-13)^2=25\\0^2+(-24)^2=25\\576\neq25[/tex]

Since both sides of the equation are not equal to each other, then (2,-11) is not a point on the circle.

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

Area = 15

Now double both the width and the Length.

New Length = 2*5 = 10

New Width = 2 * 3 = 6

Area = New Length * New Width

Area = 10 * 6

Area = 60

Answer (look at the choices)

The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A

The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B

C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

Using a proportional relationship, it is found that when x = -7, the value of y will be of y = 6.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

When y varies inversely with x, the rule is given by:

[tex]y = \frac{k}{x}[/tex]

y = −3 when x = 14, hence we use this to find k.

[tex]-3 = \frac{k}{14} \rightarrow k = -42[/tex]

Then:

[tex]y = -\frac{42}{x}[/tex]

Then when x = -7, y = -42/-7 = 6.

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Answer:

See below ~

Step-by-step explanation:

Answer:

0.0064

Step-by-step explanation:

Probability (2 sets of twins) :

Answer:

Y=45x

Step-by-step explanation:

Y = f(x)

If you plot a chart, you can find that relation is just a linear relation. So y = mx + c

By putting any one case into the equation, you can find c = 0 and m = 45

Retest the equation for other cases to ensure u are correct

Using the area of a rectangle, the total floor area to be tiled = area of the dinning room + area of the lounge floor = 32 m²

The area of rectangle = (length)(width).

Total floor area to be tiled = area of the dinning room + area of the lounge floor

Total floor area to be tiled = (4)(5) + (3)(4)

Total floor area to be tiled = 20 + 12

Total floor area to be tiled = 32 m²

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Answer:

22 in. and o.5 ft i think so

Answer:

[tex]\log_{9}4\approx 0.631[/tex]

Step-by-step explanation:

The change of base formula we can use is

[tex]\log_{b}a=\frac{\log{a}}{\log{b}}[/tex]

Not all calculators will allow the user to directly enter the logarithms with a given base, so the change of base can be used for all calculators, which use the common log.

Common logs have a base of 10.

Let's convert your expression:

[tex]\log_{9}4=\frac{\log4}{\log9}[/tex]

Using our calculator, we will compute log 4 divided by log 9:

[tex]\frac{\log4}{\log9}\approx0.631[/tex].

Check the picture below.

the area of the triangle whose base is AC and height is BD, is the same area of the triangle whose base is AB and altitude is BC, namely

[tex]A=\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{6})\implies 18[/tex]

The classification of the shapes into the categories described is as follows;

Plane shapes have peculiar characterization in each case. A triangle can either be isosceles (2 sides of equal length) or right (90⁰ angle measure).

Rectangles, squares and Parallelograms all have parallel sides.

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Answer:

[tex]\displaystyle x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]

Step-by-step explanation:

[tex]\displaystyle 5\cos x-\sqrt{3}=3\cos x;\:0\leq x < 2\pi\\\\5-\frac{\sqrt{3}}{\cos x}=3\\ \\-\sqrt{3}\sec x=-2\\\\\sec x=\frac{2}{\sqrt{3}}\\\\\sec x=\frac{2\sqrt{3}}{3}\\ \\\cos x=\frac{3}{2\sqrt{3}}\\ \\\cos x=\frac{3\sqrt{3}}{6}\\ \\\cos x=\frac{\sqrt{3}}{2}\\\\x=\biggr\{\frac{\pi}{6},\frac{11\pi}{6}\biggr\}[/tex]

Answer:

1) $181.40

2) $100

3) $81.40

Step-by-step explanation:

Interest rate is 1.5% which mans that the decimal multiplier is 1.015.

1) To find for 40 yrs we do:

40 yrs = 100 x [tex]1.015^{40}[/tex]

           =  $181.40

2) He contributed $100

3) He gained $181.40 - $100

   = $81.40

Answer:

The answer is D I hope this helps

The required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

Given that,
A graph of a function is shown that has 3 distinct functions for its domain, we have to determine which of these 3 functions shows an exponential function.

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Since, as we can see throughout the graph the graph constantly decreases to -4 and then shows a parabolic function from -4 to 0.9 afterward it starts increasing exponentially.

Thus, the required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

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if this helped you say meow

i may be wrong but i think you should divide 2.4% by the 15000 wicth  is

0.00000016 or just 0.16 or maybe  muptication 2.4% x15000 whicth is 360 hope this helps :D

Answer:

143 50

Step-by-step explanation:

I hope it helps pa brainlest po

Answer:

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

Step-by-step explanation:

Let x be the age (in years of Alice and Malice (They have the same age because they are twins).

Age of Bob: x+8  (because he is 8 years older than the twins).

Then the sum of their three ages is 23:

x (Alice's age) + x (Malice's age) +(x+8 ) (Bob's age)= 23

2x + ( x+8) = 23

3x+8 = 23

3x = 15

(3x)/3 = 15/3

x = 5

So ...

Alice's age = 5 years

Malice's age = 5 years

Bob's age = 5+8 =13 years

The total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

James, John and Jane decided to buy a piece of land. James paid 3/5 of the total cost while John paid 3/8 of the reminder.  Thus, the fraction of amount paid by Jane is,

[tex]x=1-\dfrac{3}{5}-\dfrac{3}{8}\\x=\dfrac{40-24-15}{40}\\x=\dfrac{1}{40}[/tex]

The Jane paid, 30000 of total cost which is 1/40 part of it. Thus, the total cost of the piece of land is,

[tex]\dfrac{1}{40}x=30000\\x=30000\times40\\x=1200000[/tex]

Thus, the total cost of the piece of land for which James, John and Jane decided to buy a piece of land is 1,200,000.

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Answer:

4.0  

Step-by-step explanation:

Here is one way

By pythag theorem  AD = sqrt (5,5^2 - 4.3^2) =3.42928564

Then pythag theorem again for the lower triangle

   BD = sqrt (5.3^2 - 3.42928564^2) = 4.041

This line is fairly close to the majority of the points shown. Unfortunately there's an outlier left out, but it isn't too far from the main cluster. The further the outlier is, the more pull it will drag the line away from the main cluster.

Line Q

Q is correct

Answer:

80

Step-by-step explanation: