Find the surface area of a square pyramid with side length 2 mi and slant height 5 mi.
5 mi
2 mi
2 mi

Given:

A line passes through the points (2,0) and (-2,2).

To find:

The equation of the line.

Solution:

If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,0) and (-2,2). So, the equation of the line is:

[tex]y-0=\dfrac{2-0}{-2-2}(x-2)[/tex]

[tex]y=\dfrac{2}{-4}(x-2)[/tex]

[tex]y=-\dfrac{1}{2}(x-2)[/tex]

[tex]y=-\dfrac{1}{2}(x)-\dfrac{1}{2}(-2)[/tex]

[tex]y=-\dfrac{1}{2}x+1[/tex]

Therefore, the required equation is [tex]y=-\dfrac{1}{2}x+1[/tex].

Note: In the options, the variables are missing.

Answer:

63 inches

Step-by-step explanation:

Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon.

Step 1

We convert from yards to inches

1 yard = 36 inches

2 yards = x

Cross Multiply

x = 2 × 36 inches

x = 72 inches

Step 2

Then, he cuts off 9 inches to decorate the present.

The number of inches of ribbon he has left now is calculated as:

72 inches - 9 inches

= 63 inches

Therefore, he has 63 inches of ribbon left

The volume of a sphere with a diameter of 9.3 is 521.

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Volume of sphere is = 4/3*π*r³

d=9.3, radius= 9.3/2

Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65

                               = 421.16 m³

                                = 521

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The principal, real, root of:

[tex]\sqrt[2]{55}[/tex] =7.41619849

Answer:

9.25=225

Step-by-step explanation:

Can You teach english and math

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

Answer:

D. The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation: I dont know what the guy above is saying but this is the right answer

Since it is given that both prisms have the same height and volume, the answer is option D. The horizontal cross-sections of the prisms at the same height  must have the same area.

A solid figure is one which has surface area and volume. Examples are prisms, cube, cuboid etc. Thus cones and pyramids are solid figures.

From the given question,

Volume of a cone, V = [tex]\frac{1}{3}[/tex][tex]\pi r^{2} h[/tex]

where r is its radius, and h its height

also,

Volume of a pyramid, V = [tex]\frac{1}{3}[/tex] lwh

where l is its length, w is the base width and h is its height.

Given that: i. volume of cone = volume of pyramid

                  ii. height of cone = height of pyramid

Then,

[tex]\frac{8}{3}[/tex][tex]\pi r^{2}[/tex] = [tex]\frac{8}{3}[/tex]lw

[tex]\pi r^{2}[/tex] = lw

Thus it can be deduced that at the same height, the horizontal cross section of the prisms have equal area. So that option D is the appropriate answer to the given question.

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Answer:

12ft, 6ft, 36πft², 12πft

Step-by-step explanation:

Diameter: the distance across the circle - so 12ft

Radius: half the diameter = 0.5(12) = 6ft

Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)

Circumference: 2πr = πd = 12πft

Answer:

100π m^2

Step-by-step explanation:

Given data

Diameter= 20m

Radius= 10m

The expression for the  area is

Area= πr^2

Area= π*10^2

Area= π*100

Area= 100π m^2

Hence the area is 100π m^2

Answer:

A) x = 7

Step-by-step explanation:

7x + 1 + 7x + 6 + (180° - 15x) = 180°

14x + 7 + 180° - 15x = 180°

combine like terms:

-x = -7

x = 7

Answer:

25

Step-by-step explanation:

35,39,40,45,60

60-35=25

Yes each side and each angle has a congruent corresponding part

frl this place is boring

Answer:

gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.

Let "T" be the final bill. Then the equation is given as,

2.5% = [(T - $28) / $28] x 100

0.025 = (T - $28) / $28

T - $28 = $0.70

T = $28.70

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

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Answer:

x= -7 because when you add 60+45+82 you get 187. The interior angles of a triangle add up to 180

Step-by-step explanation:

Answer:

192 is the volume

Step-by-step explanation:

Answer:

192 cubic (measurement you are using)

Step-by-step explanation:

Formula for the volume of a pyramid is length of base times width of height times the height of the pyramid all over 3 so it would be 8x8x9 all over 3 which is 576, and 576 divided by 3 is 192

Answer:

[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex]7.05 \times 9.4 \\ = 66.27[/tex]

Answer:

The final answer is (2,-1)

(also idek what I did in the photo but I'm positive the answer is (2,-1)

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

Answer:

12 days, 72 tickets

Step-by-step explanation:

the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.

plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.

Answer:

58

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The question asks us what equation would represent a temperature less than -5. The answer must then be A.

Answer:

The answer is A. x<-5

Step-by-step explain:

So the question is On a winter day in the Midwest, the temperature got colder than 5 degrees below zero when measured in degrees Fahrenheit. Which of these inequalities correctly represents the temperature? Basically It is simple you have  to figure out which inequality accurately represents the temperature. What u can do is imagine x is the temperature and the 5 is the number that way it will be way easier to figure out!!!! MARK ME AS BRAINLEIST PLS??  

Answer:

31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

Answer:

93.1%

Step-by-step explanation:

Answer:

90 Square Yards

Step-by-step explanation:

To find the area of a rectangle, all you do is multiply the length by the width.

in your equation, the length is 15 and the width is 6.

And 15 x 6 = 90, so the answer is 90 Square Yards.

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Let n be x+yi

So

Minimum value is 5+5i as 5²+5²=50

Answer:

The answer is below

Step-by-step explanation:

A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.

From the image attached:

Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²

Area of base = 3 m * 3 m = 9 m²

Since the sides are covered in blue fabric, hence:

Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²

The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²