What are some words that relate to geometry but are difficult to precisely define

Answer:

Perimeter = 98 cm

Area = 596 [tex]cm^{2}[/tex]

Step-by-step explanation:

Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.

Perimeter of a figure = Sum of all its sides + Perimeter of circle

Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.

The sides of this resultant figure = 30 - 14 = 16 cm

and 25 - 14 = 11 cm

So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle

[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]

To find area of this figure = Area of rectangle - Area of circle

Area of rectangle = Length [tex]\times[/tex] Width

[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]

So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]

Answer:

see below

Step-by-step explanation:

first flip x and y and solve for y

write new equation as x =-3(y+6) distribute

x = -3y -18 add 18 on both sides

x +18 = -3y divide by -3

(-1/3) x -6 or (x +18)/-3 or [tex]\frac{-x}{3} -6[/tex]

Step-by-step explanation:

-4 (A)

because the minimum value of f(x) is f(-2)= -3

the range is between {-3,7}

Answer:

A. -4

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Basically the function has no "x" value so it is 0. X could be anything but in the function "x" is not even present so probably 0

Answer:

The answer would be 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

Not sure but I think it is!

Answer:

Some of the most lucrative jobs are all about math. Most engineering fields are all about sharp math skills, whether it’s civil and mechanical or software engineering. Working in finance also obviously involves a lot of math, and what better way to make money than working in the field that’s all about money? You can also become a statistician or actuary; it’s not easy to find good statisticians, despite the need for them. If you want to earn good money, then you do need good math skills.Then again, you could use math in life anyway.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Volume of a Sphere = [tex]\frac{4}{3} \pi r^3[/tex]

Where volume of sphere = 81 π cm³

So, the equation becomes

81 π = [tex]\frac{4}{3} \pi r^3[/tex]

Answer:

the correct answer is the third row.

Step-by-step explanation

Answer:

27

Step-by-step explanation:

Answer:

(up) by 6

left by 7

Step-by-step explanation:

Answer:

Y=x^2+8

Step-by-step explanation:

Answer:

68.8 Inches, 5.73 Ft.

Step-by-step explanation:

To find out how many inches tall the horse is, divide 17 1/5 by 1/4. You will get 68.8 inches. To convert that to feet, divide it by 12. that would be 5.7333... Ft, so you will probably need to round it to just 5.73.

Answer: 24.4

Step-by-step explanation:

So lets review a bit about sine, cosine, and tangent.

Look at attachment below

Okay so we have the opposite side of the triangle and are trying to find the length of the adjacent side. The only trig expression that contains both opposite and adjacent is tangent. The equation goes

tanX = opposite(XZ)/adjacent (YZ)

we know what X is X = 16

and we know what opposite is opposite = 7

so now the equation looks like

tan16 = 7/adjacent

and in the question it says that tan16 = 0.287 so lets plug that in

0.287 = 7/adjacent

0.287adjacent = 7

adjacent = 7/0.287

adjacent = 24.4

YZ = 24.4

Answer:

1) 4

2) exponential decay

3) [tex]y = 4(0.8)^x[/tex]

Step-by-step explanation:

1) The initial value or an exponential function is the y-intercept.

Let us consider a standard exponential function of the form y(x) = a•bˣ , if you put in x = 0 (initial value) we get:

y(0) = a•bˣ = a•b⁰ = a•1 = a , so the y-intercept is a , which is called the initial value.

Therefore the y intercept is 4

2) Since the multiplier is greater than 0 and less than one, it is an exponential decay

3) standard exponential function of the form y(x) = a•bˣ, at (0,4),

4 = a(b)⁰

a = 4

b = multiplier = 0.8

Therefore: [tex]y = 4(0.8)^x[/tex]

Answer:

B

Step-by-step explanation:

If two lines are parallel, then their slopes are equal.

Line 1: y = 2x + 6

slope = 2

Line 2:

(1 , 5) ; (3,9)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]

Slope of line 1 = slope of line 2  = 2

So, line 1 and line 2 are parallel

Answer:

A

Step-by-step explanation:

A because the height and age are sometimes not proportional or ideal. Some kids don't develop due to health problems for example, which make them look smaller than normal. Other people might a conditions, which makes them grow to tall.

Answer:

53:19:28

Step-by-step explanation:

Answer:

53:28

Step-by-step explanation:

the mass of sugar= 100-(53+19)

=100-72

=28g

therefore: ratio of blackberries to sugar is

=53g/28g

=53:28

Answer:

64

Step-by-step explanation:

4^2-4*3*-4

=16-(-48)

=64

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Answer:

V = 702.984763 m³

Step-by-step explanation:

radius r = 6.9 m

height h = 4.7 m

volume V = 702.984763 m³

lateral surface area L = 203.7637 m²

top surface area T = 149.571226 m²

base surface area B = 149.571226 m²

total surface area A = 502.906152 m²

In Terms of Pi π

volume V = 223.767 π m³

lateral surface area L = 64.86 π m²

top surface area T = 47.61 π m²

base surface area B = 47.61 π m²

total surface area A = 160.08 π m²

Agenda:

r = radius  = diameter/2

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

Formula: Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr²h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr²) = 2πr(h+r)

Answer:

No solutions

Step-by-step explanation:

This function would place the parabola above the x axis, so there are no x intercepts

Answer:

D

Step-by-step explanation:

There are no x-intercepts, so this has no solutions.

Hope this helps!

Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

Answer:

1). a = 10, b = 6

2). a = 5, b = 3, c = 8

Step-by-step explanation:

Given expression is,

1). [tex]\frac{7^{6}\times 7^8}{7^4}[/tex] = [tex]\frac{7^a}{7^4}=7^4[/tex]

= [tex]\frac{7^{2+8}}{7^4}[/tex] [Since [tex]x^{m}\times x^n=x^{(m+n)}[/tex]]

= [tex]\frac{7^{10}}{7^4}[/tex]

= [tex]7^{{10-4}}[/tex]

= [tex]7^{6}[/tex]

Therefore, a = 10 and b = 6

2). [tex]\frac{2^5}{4}=\frac{2^5}{2^a}=2^b=c[/tex]

= [tex]\frac{2^5}{2^2}[/tex]

= [tex]2^{{5-2}}[/tex]

= [tex]2^{3}[/tex]

= 8

Therefore, a = 5, b = 3 and c = 8

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

Answer:

Yes.

Step-by-step explanation:

Yes . This would be an isosceles triangle (2 angles being 9 units long.

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer:

[tex]\frac{13}{4}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25[/tex]

Answer:

4x - 3y = 0

Step-by-step explanation:

The angle between the radius and the tangent at P is right

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y + 3x = 25 into this form

Subtract 3x from both sides

4y = - 3x + 25 ( divide all terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus

y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute P(3, 4) into the partial equation

4 = 4 + c ⇒ c = 4 - 4 = 0

y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form

Multiply through by 3

3y = 4x ( subtract 3y from both sides )

4x - 3y = 0 ← equation of radius in standard form

Answer:

CBA

Step-by-step explanation:

We can name the angle B

Or name the angle ABC

Or name the angle CBA

The vertex of the angle must be in the center

Answer:

The answer is CBA

Step-by-step explanation:

Answer:

600cm3 the 3 is ment to be cubed

Step-by-step explanation: