Variables are usually written as ......- case letters.

Answer:

[tex]\large\boxed{A=(120+32\pi)cm^2}[/tex]

Step-by-step explanation:

Look at the picture.

We have the half of circle and a triangle.

The fromula of an area of a circle:

[tex]A_O=\pi r^2[/tex]

r - radius

We have r = 8cm. Substitute:

[tex]A_O=\pi(8)^2=64\pi\ cm^2[/tex]

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

b- base

h - height

We have b = 8cm + 8cm = 16cm and h = 15cm. Substitute:

[tex]A_\triangle=\dfrac{(16)(15)}{2}=(8)(15)=120\ cm^2[/tex]

The area of the figure:

[tex]A=\dfrac{1}{2}A_O+A_\triangle[/tex]

Substitute:

[tex]A=\dfrac{1}{2}(64\pi)+120=32\pi+120=(120+32\pi)cm^2[/tex]

That would be 70 percent.

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

Answer:

t=5

Step-by-step explanation:

t=√25=t=5

Answer:

22 degrees

Step-by-step explanation:

Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.

x/2+3=-5

x/2 = -5+3

x/2 = -2

x = -2(2)

x = -4

Answer:

X = - 16

PLEASE RATE AND THANKS ME IF THIS HELPED

The correct answers are 2,3, and 4.

(if not 4, then the last one)

Answer:

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

When line d is parallel to line c.

We have to find the true statements about the figure.

Then, [tex]\angle 3=\angle 6[/tex](Vertical angles are equal)

[tex]\angle 1=\angle 4[/tex]

[tex]\angle 2=\angle 5[/tex]

Reason: Alternate interior angles

Two triangles are similar by AA postulate

Reason:Alternate interior angle are congruent.

Option C and D are true.

C.Vertical angles prove that angle 3= angle 6

D.The triangles are similar because alternate interior angles are congruent.

Answer:

C.) 60 feet

Step-by-step explanation:

Knowing that the formula for finding the circumference of a circle is [tex]\pi d[/tex] or [tex]2\pi r[/tex], we are able to set up the equation to be:

[tex]188.4=3.14d[/tex]

[tex]\frac{188.4}{3.14} =d[/tex]

[tex]60=d[/tex]

and done! :)

Answer:

[tex]\large\boxed{VW=\sqrt{113}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points W(4, 6) and V(-3, -2). Substitute:

[tex]VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}[/tex]

Answer:11x4+3=47

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

11 x 4 + 3 = 47

well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.

what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.

Answer:

4 units left and 2 units up

Step-by-step explanation:

Translation notation is the words you would use to describe the translation of the point or shape. It says that the point was translated 4 units left and 2 units up, and that is the translation notation.

The answer is:

[tex]x=3\\y=2[/tex]

Ordered pair: (3,2)

The substitution method for solving system of equations consists in finding the solution by isolating and substituting each variable value into the given equations, doing that, all the variable value can be found.

So, we are given two equations:

[tex]2x+y=8\\y= -x+5[/tex]

We need to substitute (y) into the first equation,so:

[tex]2x+(-x+5)=8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x+5=8[/tex]

[tex]x=8-5[/tex]

[tex]x=3[/tex]

Now that we know "x" we need to substitute it into the second equation, so:

[tex]y=-(3)+5[/tex]

[tex]y=2[/tex]

Hence,

[tex]x=3\\y=2[/tex]

So, the ordered pair will be: (3,2)

Have a nice day!

Answer:

Ordered pair = (3, 2)

Step-by-step explanation:

We are given the following equations and we are to solve them by substitution method:

[tex]2x+y=8[/tex] --- (1)

[tex]y= -x+5[/tex] --- (2)

Substituting the value of y from equation (2) to (1):

[tex]2x+(-x+5) = 8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x = 8-5[/tex]

x = 3

Substituting this value of x in equation (2):

[tex]y = -(3)+5[/tex]

y = 2

So the ordered pair is (3, 2).

Step-by-step explanation:

350-40x>40

Now you subtract 350 from both sides. -40x is greater than negative 310. Divide by -40 on both sides and flip the sign since you are dividing by a negative. x<31/4 or 7.75, so round down and she can only have 7 exhibits

Answer:

she can have at most seven exhibits

Step-by-step explanation:

Answer:

20m and 40m

Step-by-step explanation:

The area (A) of a kite is calculated using the formula

A = [tex]\frac{1}{2}[/tex] product of diagonals

Let one diagonal be d then the other diagonal is 2d ( twice as long )

Hence

[tex]\frac{1}{2}[/tex] × 2d × d = 400

d² = 400 ← take the square root of both sides

d = [tex]\sqrt{400}[/tex] = 20

and 2d = 2 × 20 = 40

The diagonals are 20m and 40m in length

The lengths of the diagonals of a kite, where the area is 400 square meters and one diagonal is twice the length of the other, are 20 meters for the shorter diagonal and 40 meters for the longer diagonal.

You asked how the lengths of the diagonals of a kite can be determined given that the area is 400 square meters and one diagonal is twice as long as the other. To find the diagonals, we'll use the formula for the area of a kite, which is Area = (d1 * d2) / 2, where d1 and d2 are the lengths of the diagonals.

Let's denote the shorter diagonal as d, which means the longer diagonal is 2d. Plugging these into the area formula gives us:

400 m2 = (d * 2d) / 2

Multiplying both sides by 2 gives us 800 m2 = d * 2d, which simplifies to 800 m2 = 2d2.

Dividing both sides by 2 gives us 400 m2 = d2. Taking the square root of both sides, we find that d = 20 meters. Hence, the longer diagonal is 2 * 20 meters = 40 meters.

The lengths of the diagonals of the kite are 20 meters and 40 meters.

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since, line segment CD is congruent to line segment EF and im geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

HOPE IT IS USEFUL

Here is your answer

d. CD overbar congruent to EF overbar.

REASON:

Since line segment CD is congruent to line segment EF and in geometry an overbar represents a line segment.

So, we can say that CD overbar means line segment CD and EF overbar means line segment EF.

Hence, the statement is justified.

hope this helps :)

remember to love urself <3

85+92+84+71+94+x /6>86

Multiply both sides by 6

426+x>516

Subtract 426 from both sides

X>90

Answer:

464 in²

Step-by-step explanation:

Surface area of a figure is the total area of its sides.

We shall assume that the shape is a solid.

2 × (5 × 10) = 2 × 50 =  100

2 × 1/2 × 4(10+16) = 4 × 26 = 104

10 × 10 = 100

10 × 16 = 160

Total area = 100 + 104 + 100 + 160

                 = 464 in²

The surface area of a shape can be found by using specific formulas that differ depending on the shape's dimensions and type. For a sphere, the formula is A = 4πr², while for a rectangle, it's A = length × width. Other shapes like a cylinder require calculating the area of each side then adding them together.

In order to find the surface area of a shape, we first need to know the dimensions and type of the shape. For example, to find the area of a sphere, you'd use the formula A = 4πr², where 'r' is the radius of the sphere. To find the area of a rectangle, you'd use A = length × width.

If we're talking about a more complex shape, like a cylinder, we need to calculate the area of each face or side separately and then add them together for the total surface area. For example, the total surface area of a cylinder is given by A = 2πr(r + h), where 'r' is the radius of the base and 'h' is the height of the cylinder.

These are just a few examples. The calculation of the surface area will depend on the specific dimensions and type of the shape in question.

https://brainly.com/question/12448114

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Answer:

30 cm

Step-by-step explanation:

The area of a parallelogram is given by  [tex]A=bh[/tex]

Where

A is the area

b is the base, and

h is the height

Since A and h are given, we plug that in and find the base. Shown below:

[tex]A=bh\\127\frac{1}{2}=b(4\frac{1}{4})\\b=\frac{127\frac{1}{2}}{4\frac{1}{4}}\\b=\frac{\frac{255}{2}}{\frac{17}{4}}\\b=\frac{255}{2}*\frac{4}{17}=30[/tex]

Hence, the base is 30 centimeters

First one is C and second one is A

Answer:

The answer is the first

Amie should have multiplied 54 by 2/3

Step-by-step explanation:

* Lets start with the rule of the volume of each solid

∵ Volume the sphere = 4/3 π r³

∵ Volume the cylinder = π r² h

∵ The radii and the heights of the sphere and the cylinder are equal

∴ The ratio between there volumes are

   4/3 π r³ : π r² h

- Lets divide each part by π r²

∴ 4/3 r : h

∵ The height of the sphere = the diameter of it = 2r

∴ The height of the cylinder = 2r

∴ The ratio will be:

   4/3 r : 2r

- Now divide each part by 2r

∵ (4/3)r ÷ 2r = 2/3

∵ 2r ÷ 2r = 1

∴ The ratio is 2/3 : 1

∴ The volume of the sphere = 2/3 the volume of the cylinder

∵ The volume of the cylinder = 54 m³

∴ The volume of the sphere = 2/3 × 54 = 36 m³

∴ The answer is Amie should have multiplied 54 by 2/3

Answer:

The answer is Amie should have multiplied 54 by 2/3

Step-by-step explanation:

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is [tex]x=10\ in[/tex]

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

[tex]r=12/2=6\ in[/tex] ----> the radius is half the diameter

[tex]h=8\ in[/tex]

Applying the Pythagoras Theorem find the slant height x

[tex]x^{2}=r^{2}+h^{2}[/tex]

substitute the values

[tex]x^{2}=6^{2}+8^{2}[/tex]

[tex]x^{2}=100[/tex]

[tex]x=10\ in[/tex]

Answer:

16.25=1.75x

Step-by-step explanation:

so write it like this to that the bigger number(16.25) is on the left then write the other number(1.75)then put the X by the 1.75

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

Answer:

0.55511330152

Step-by-step explanation:

Answer:

x = 47

Step-by-step explanation:

Using the cofunction identity

cos x = sin(90 - x), hence

cos43 = sin (90 - 43) = sin47

no its not l. the top is 3 the bottom is one

Answer:   [tex]\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}[/tex]

Step-by-step explanation:

[tex]17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}[/tex]

Answer:

General quadratic form is 17x²- 12x + 0 = 0.

Step-by-step explanation:

Given  : 17x² = 12x.

To find : Write the quadratic equation in general quadratic form below.

Solution : We have given that 17x² = 12x.

General quadratic form is  : [tex]ax^{2} + bx + c = 0[/tex].

We have 17x² = 12x.

Convert it in to general quadratic form

On subtracting both sides by 12x .

17x²- 12x + 0 = 0.

Here a = 17 , b = - 12 , c = 0 .

Therefore, General quadratic form is 17x²- 12x + 0 = 0.

Answer:

3x=0 or x+4=0

x=0 or x=−4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x2+12x=0

Step 2: Factor left side of equation.

3x(x+4)=0

Step 3: Set factors equal to 0.

3x=0 or x+4=0

x=0 or x=−4

Answer:  x = {1, -1, 2i, -2i}

Step-by-step explanation:

x⁴ + 3x² - 4 = 0

               ∧

             -1 +4 = 3   this works!

(x² - 1)(x² + 4) = 0

x² - 1 = 0     and      x² + 4 = 0

x² = 1          and      x² = -4

x = ±1         and       x = ± 2i

x = 1, -1      and       x = 2i, -2i

1. 311

2. 522

3. 603

4. 341.47826087

5. 221.558823

5b. All i did was divide the regular way or u could just put it in a calculator?

Answer:

AB is A

BC is B

AC is D

Step-by-step explanation:

To find the length of each side, use the formula for the distance between coordinate pairs.

We can find the distance using the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (2,1) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(2--3)^2+(1-6)^2} \\d=\sqrt{(2+3)^2+(-5)^2} \\d=\sqrt{25+25}\\d=\sqrt{50}[/tex]

BC

We then substitute (2,1) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9-2)^2+(5-1)^2} \\d=\sqrt{(-7)^2+(4)^2} \\d=\sqrt{49+16}\\d=\sqrt{65}[/tex]

AC

We then substitute (-3,6) as [tex](x_1,y_1)[/tex] and (9,5) as [tex](x_2,y_2)[/tex].

[tex]d=\sqrt{(9--3)^2+(5-6)^2} \\d=\sqrt{(12)^2+(-1)^2} \\d=\sqrt{144+1}\\d=\sqrt{145}[/tex]