Scientists put marks on 72 moose as part of an effort to estimate the local moose population. Later, the scientists flew over the area and counted a total of 430 moose, of which 43 were marked. To the nearest whole number, what is the best estimate for the moose population?

Answer:

38.5 in²

Step-by-step explanation:

Area of circle= πr², where r is the radius

Substitute the value of the radius into the formula above:

Area of circle

= π(3.5)²

= 12.25π

= 38.5 in² (3 s.f.)

Answer:

Step-by-step explanation:

Answer:

height : 150 feet

Step-by-step explanation:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using tan rule:

[tex]\hookrightarrow \sf tan(62)= \dfrac{b}{80}[/tex]

[tex]\hookrightarrow \sf b = tan(62)*80[/tex]

[tex]\hookrightarrow \sf b =150.46 \ feet[/tex]

Answer:

[tex]\approx 150 \: ft[/tex]

Step-by-step explanation:

recall sohcahtoa

here,

To find:

since we are given the value of adjacent side and need to figure out the opposite side , we will work with tan function,

So,

[tex] \tan( {62}^{ \circ} ) = \dfrac{h}{80} [/tex]

[tex] \implies \: h = 80\tan( {62}^{ \circ} ) [/tex]

using calculator,we acquire

[tex] \implies \: h \approx 150 \: ft[/tex]

hence, the height of the building is approximately 150ft

Your answer for TQS is 43.

89 - 46 = 43

Step-by-step explanation:

law of sine :

a/sinA = b/sinB = c/sinC

with the sides and correlating angles being always opposite to each other.

we are dealing with a right-angled triangle here.

the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.

the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.

the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.

so, we have

1600/sin(90) = elevation difference / sin(1.6)

sin(90) = 1

1600 = elevation difference / sin(1.6)

elevation difference = 1600 × sin(1.6) =

= 1600 × 0.027921639... =

= 44.67462196... ft

≈ 44.7 ft

The number of sides of a polygon with interior angles of  134° and 156° and each of the remaining angles as 151° is 12 sides.

The sum of the exterior angles of a polygon is 360°. For regular polygons the exterior angles are the same (congruent).

Therefore,

Interior angle  + exterior angle = 180°

Therefore,

156 + x = 180

x = 180 - 156

x = 24°

134 + y = 180

y = 180 - 134

y = 46°

180 - 151 = z

z = 29°

sum of exterior angle = 360 degrees.

Therefore,

360 - 46 - 24 = 290°

Then,

290 / 29 = 10

The number of sides = 10 + 2 = 12 sides

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Answer:

-1

Step-by-step explanat

yes

Answer:

Step-by-step explanation:

-2(11-12)=-4(1-6x)​ becomes -2(-1) = -4(1 - 6x)

Next, we divide both sides by -2, obtaining -1 = 2(1 - 6x), and then

                                                                        -1 = 2 -12x, or

                                                                         -3 = -12x

Simplifying this result, we get 1 = 4x, or x = 1/4

We conclude that -2(11-12)=-4(1-6x)​ has ONE solution, which is x = 1/4

Step-by-step explanation:

Table A represents an arithmetic sequence with a common difference d=+7.5

so for x=4, it's y³+7.5=25+7.5=32.5

for x=5, it's y⁴+7.5=32.5+7.5=40

Table B represents a geometric sequence with a common ratio r=4, so you're essentially multiplying by 4.

for x=4, y⁴=y³×4=160×4=640

for x=5, y⁵=y⁴×4=640×4=2560

Answer:1017.36[tex]ml^{2}[/tex]

Step-by-step explanation:

Diameter= 36ml

radius=diameter/2

R=36 ÷2

R=18ml

Area=π[tex]r^{2}[/tex]

Area=3.14 x [tex]18^{2}[/tex]

Area=1017.36[tex]ml^{2}[/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

please mark me as brainlest

A rectangular prism with a height of 6 centimeters would have a volume of 138 cubic centimeters.

Given the following data:

Base area = 23 [tex]cm^2[/tex]

Height = 6 centimeters.

Mathematically, the volume of a rectangular prism is given by this formula:

[tex]V = B \times H[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 23 \times 6[/tex]

V = 138 cubic centimeters.

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Answer:

Step-by-step explanation:

The volume of a cylinder is the area of the circle times the hight of the cylinder.

Thus...

3.14*5^2*10=785

The reason it is 5 and not 10 is because it gives you the diameter in the word problem and the equation asks for the radius.

So you know that the radius is always half the diameter and half 10 which gives you 5.

Hope this helps!!!

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

Sine rule is used to show the relationship between the sides and angles of a triangle. It is given as:

a/sinA = b/sinB = c/sinC

Where A,B,C are the angles and a,b and c are the opposite sides to the angles.

1)

A = 55°, a = 10. 1, b = 12. 3

10 / sin(55) = 12.3 / sinB

B = 86.01°

A + B + C = 180° (angle in triangle)

55 + C + 86 = 180

C = 39

10 / sin(55) = c / sin(39)

c = 7.68

The values of the solution for the triangle is A = 55°, a = 10. 1, b = 12. 3, B = 86.01°, c = 7.68 and C = 39°

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Answer:

y= -x+6

Step-by-step explanation:

G1xG2= -1

G2= -1

-1 = (y-8)

-------

(x+2)

-1 (x+2)=y-8

-x-2=y-8

-y=x+2-8

y= -x+6

Answer:

11

Step-by-step explanation:

5x + -4 = 2x + 5

-2x  +4   -2x  +4

3x = 9

x = 3

5(x) - 4 = ML

5(3) - 4 = ML

15 - 4 = ML

11 = ML

Answer: 20%

Step-by-step explanation: Add all the marbles together:5 + 8 + 6 +11= 30

Find the probability of orange: 6/30

Now divide 6 by 30= .2

Turn .2 into a decimal: 20%

Answer:

2

Step-by-step explanation:

Since FG is congruent to FH, angles FGH and FHG are congruent since angles opposite congruent sides in a triangle are congruent.

Answer:

The answer is D : y= −0.15x^2 + 2x + 5.5

Step-by-step explanation:

i got it right on my test

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

An equation is an expression that shows the relationship between two or more numbers and variables.

Quadratic function is in the form y = ax² + bx + c; where a, b and c are constants.

From the table, at point (0, 5.5):

5.5 = a(0)² + b(0) + c          (1)

From the table, at point (1, 7.35):

7.35 = a(1)² + b(1) + c          (2)

From the table, at point (2, 8.9):

8.9 = a(2)² + b(2) + c          (3)

From 1, 2 and 3:

a= -0.15, b = 2, c = 5.5

The quadratic equation represented by the table is y = -0.15x² + 2x + 5.5

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Hey there!

Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]

[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]

[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]

Answer:

It was rotated D. -180 degrees

Step-by-step explanation:

the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)

Answer:

w= -6

w= 4

Step-by-step explanation:

w= -b sqrt(b^2-4ac)

2a

let

a=1

b=2

c= -24

substitute values~

[tex]==========================================[/tex]

In order to solve this equation for w, we need to factor it.

First, let's think of 2 numbers that multiply to -24 and add to 2.

These numbers are -4 and 6.

Check:

6×(-4)=-24 ✓

6+(-4)=6-4=2✓

Now, factor:

(     ) (    )

That's how it should look like:

(w+   )( w-   )

Now, instead of the blanks, plug in -4 & 6:

(w-4)(w+6)

Now, set each factor equal to 0:

w-4=0

w=4

w+6=0

w=-6

[tex]====================================[/tex]

Nickname:-

Answer:

its b trust me i had that one (12,44)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of the rhombus is half the product of its diagonals

[tex]area \: of \: rectangle \\= 4 \times area \: of \:identical \: triangle[/tex]

[tex]area \: of \: rectangle =\\ 4 \times area \: of \:identical \: triangle[/tex]

[tex]48 {in}^{2} = 4 \times \frac{1}{2} \times base \times height \\ 48 {in}^{2} = 2 \times base \times height \\ \frac{48}{2} = 8 \times height \\ \frac{ \cancel{48} {}^{ \: \: 24} }{ \cancel{2}} = 8 \times height \\ \frac{24}{8} = height \\ \frac{ \cancel{24} {}^{ \: \: 3} }{ \cancel{8}} = height \: \\ height = x = 3in \: [/tex]

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

Initial speed (v) = 1.9m/s

Final speed (u) = 3.8m/s

Time (t) = 11 s

[tex]v = u + a×t [/tex](a = acceleration)

➾ [tex]a = {\frac{u-v}{t}}[/tex]

[tex]a = {\frac{u-v}{t}}[/tex] (putting the value of v, u and t from above)

➾ [tex]a = {\frac{3.8-1.9}{11}}[/tex]

➾ [tex]a = {\frac{1.9}{11}}[/tex]

➾ [tex]a = 0.17 m/s (approx.)[/tex]

Therefore, the acceleration rate = 0.17m/s.