Math question:
A rectangular pyramid has a height of 11cm and a base that is 12 cm by 8 cm. Find the volume.

Answer:

[tex]236.715\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle and two half-circles.

Area of rectangle: [tex]15\cdot 4=60[/tex]

Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]

Thus, the total area of the figure is

[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]

Answer:

8111.5

Step-by-step explanation:

Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve

Rewriting the above question in figure :

4000 + 100 + 0.5 = 5100.5

12000 + 1200 + 12 = 13212

13212 - 5100.5 = 8111.5

= 8111.5

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

Answer:

Step-by-step explanation:

a = 3

b = 3

c  = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

Step-by-step explanation:

=> V = 4/3 π r³

=> V1 : V2 = r³ : r'³

=> 1³ : 5³

=> 1 : 125

Answer:

A

Step-by-step explanation:

I hope this helps.

Have a good day :)

a.) You randomly choose 2 socks from a drawer, hoping they will match.

9514 1404 393

Answer:

  (c)  27π cubic centimeters

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...

  V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Answer:

14

Step-by-step explanation: divide..

Answer:

14 points per game

Step-by-step explanation:

42/3 = 14

Answer:

[tex](a)\ f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)=0[/tex]

Step-by-step explanation:

Given

The attached table

[tex](a)\ f^{-1}(-15)[/tex]

This represents an inverse function.

So, we look into x row for its value.

i.e.

[tex]f^{-1}(-15) = -6[/tex]

[tex](b)\ f^{-1}(4) + f(9)[/tex]

Just like (a)

[tex]f^{-1}(4) = -11[/tex] ---- by looking into the x rows

[tex]f(9) = 11[/tex]

So:

[tex]f^{-1}(4) + f(9)=-11 + 11[/tex]

[tex]f^{-1}(4) + f(9)=0[/tex]

Answer:

24 units²

Step-by-step explanation:

Top triangle: 1/2x2x4=4

Main rectangle: 2x4=8

Bottom trapezoid: 4+8=12. 12÷2=6. 6x2=12

4+8+12=24

Answer:

6

Step-by-step explanation:

Slope = delta y/delta x

[tex]slope = \frac{y_1-y_2}{x_1-x_2}[/tex]

Slope = (-3-3)/(1-2)

Slope = -6/-1

Slope = 6

Answer:

6

Step-by-step explanation:

Given :-

And we need to find the slope of the line passing through the two points . The slope of the line passing through two points is the difference of y coordinates divided by difference of x coordinates.

Substituting the respective values :-

[tex]:\implies[/tex] m = y₁ - y₂/ x₁ - x ₂

[tex]:\implies[/tex] m = -3 -3 / 1 - 2

[tex]:\implies[/tex] m = -6/-1

[tex]:\implies[/tex] m = 6

Hence the slope of the line is 6.

Answer:

4

Step-by-step explanation:

Answer:

12 = 2 × 2 × 3

32 = 2 × 2 × 2 × 2 × 2

Greater Common Factor = 2 × 2 = 4

Answer:

11/3     as improper fraction

3 2/3       as proper fraction

Step-by-step explanation:

5 × ( 1/3 + 2/5 )

use common denominator of 15

5 × ( 5/15 + 6/15 )

Add

5 × ( 11/15)

Reduce

1 × ( 11/3)

11/3

as a proper fraction

3 2/3

Answer:

3.666666667

Step-by-step explanation:

= 5 (1/3 + 2/5)

= (5 (1/3)) + (5 (2/5))

= (1.666666667) + (2)

= 3.666666667

Hope this helps :)

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.

Answer:

15

Step-by-step explanation:

To find the answer you multiply the length by the width.

5×3=15

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the attached file for the solution.

Answer:

68.7

Step-by-step explanation:

Answer:

the smallest circle one

center => (0,1)

radius = √3 = 1.73

Graph C  best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.

If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:

(x-h)^2 + (y-k)^2 = r^2

The given data equation is;

x² + (y-1)²=3²

Compare the standard equation with the given equation, we get;

h=0

k=1

r=3

Graph C  best represents the equation x² + (y-1)²=3².

Learn more about equation of a circle here:

https://brainly.com/question/10165274

#SPJ2

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Answer:

Area = 25m²

Step-by-step explanation:  A=a²=5²=25m²

Answer:

25m²

Step-by-step explanation:

Simply multiply the number of total sides of the shape(4) and  the measurement of each side (5m)

4 sides x 5 meters = 25m²

always put m² after your final answer

9514 1404 393

Answer:

  (x, y, z) = (2+44t, 2+14t, 7-20t)

Step-by-step explanation:

One way to write parametric equations for line L is ...

  L = P + t·v

where P is the given point and v is the given direction vector. Using that form, we have ...

  (x, y, z) = (2+44t, 2+14t, 7-20t)

__

If you like, you can remove a common factor of 2 from the coefficients of t.

  (x, y, z) = (2+22t, 2+7t, 7-10t)

Answer:

Height of Flagpole: 24.03 feet

Length between tip of flagpole and tip of shadow: 46.67 feet

Step-by-step explanation:

So the angle of elevation (31°) is facing directly opposite of the flagpole. The shadow of the flagpole (40 ft) is adjacent to the angle of elevation. Therefore, the tangent function incorporates both the opposite and adjacent sides of the right triangle created. We would then make the equation and solve for the height of the flagpole which is the opposite side (h in this case):

tanθ = opposite/adjacent

tan(31°) = h/40

40tan(31°) = h

24.03442476 = h

h ≈ 24.03

Therefore, the height of the flagpole is about 24.03 ft.

As for your bonus question, the length of the tip of the flagpole to the tip of the shadow would be the hypotenuse of the triangle created, which can easily be found using the Pythagorean Theorem (using exact values):

a² + b² = c²

(40tan(31))² + (40)² = c²

577.6535736 + 1600 = c²

2177.6535736 = c²

46.66533589 = c

c ≈ 46.67

Therefore, the length from the tip of the flagpole to the tip of the shadow is 46.67 ft.

Answer:

88 units

Step-by-step explanation:

The required perimeter is 88 units.

Answer:

Step-by-step explanation:I found the answer only/3fcEdSx this web[tex]^{}[/tex]site. It seems correct! Link Below!

bit.[tex]^{}[/tex]

Answer:

The range of the data is 75 - 21 = 54 (the difference between the two "whiskers"

The median of the data is 50 (middle line inside the box)

The first quartile "Q1" is 34 (left edge of the box). This means that 25% of the values are < 34.

The third quartile "Q3" is 69 (right edge of the box). This means that 25% of the values are > 69.

The interquartile range is 69-34 = 35. (subtracting Q3 - Q1) 50% of the data falls in this range, from 34 -69. 50% of the data falls in the box.

Let me know if you have questions about this answer. I'm happy to help.

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Answer:

E. 12 m

Step-by-step explanation:

b = 2×A/h

= 2×78/13

= 156/13

= 12 m

Answer:

c. 84 is the answer

Step-by-step explanation: