Find the volume of the given rectangular pyramid.

Answer:

[tex]V = <a,b>[/tex]

Step-by-step explanation:

Given

[tex]P= (a,b)[/tex] --- Point

Required

Component of V

From the question, we understand that V is in standard position.

This implies that V starts at the origin (0,0) and ends at (a,b)

So, vector V is:

[tex]V = <P(a,b) - O(0,0)>[/tex]

This gives:

[tex]V = <a-0,b-0>[/tex]

[tex]V = <a,b>[/tex]

Answer: About 100 more people will choose brand A.

Step-by-step explanation:

Number of people who chose brand A = 25

Number of people who chose brand B = 15

Number of people who chose brand C = 10

Total number of people = 25+10+15 = 50

Since there are 200 people left, we'll equate them based on the data given and this will be:

For A = 25/50 × 200 = 100

For B = 15/50 × 200 = 60

For C = 10/50 × 200 = 40

Therefore, about 100 more people will choose brand A.

Answer:

About 100 more people will choose brand A

Step-by-step explanation:

i ready:)

1st graph all the negative & positive numbers

The opposite of 2 is -2 because it's a negative number ( opposite of 2 )

Answer:

No

Step-by-step explanation:

Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .

Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.

The theoretical probability is the example of perfect probability and experimental probability  is the example of actual occurrence.

Their formulas are

Theoretical Probability = number of possible outcomes/ total number of possible outcomes

Experimental Probability =  number of favorable outcomes/ total number of actual outcomes

If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.

So the experimental probability is bit different from the theoretical probability.

Now if the cards are shuffled and the experiment is repeated 22 times

experimental probability of drawing a vowel  would not  be the same as the theoretical probability because n is small.

If n→1000 or more

n→∞

According to K. Pearson or Buffon when n tends to infinity the  theoretical probability becomes equal to experimental probability.

They experimented this on a coin and put forward their results.

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Answer:

Step-by-step explanation:

It's helpful to draw it out, but you need a calculator for this.

You have the values of line b, line c, and angle C.

You can use sinC / c since you have C and c.

Solve for sinB by doing sinB/5.7 = sinC/8.6

you'll get the value of sinB, use inverse trig to solve for B (sin^-1)

Then you'll have the angle values for C and B. Add them, and subtract by 180 to find the angle measure of A.

Use the steps above to find a:

sinA (which u just found) / a = sinC (125) / c (8.6)

Hope this helps.

Answer:

the expression for s = -1.

is s+1=0

Answer:

-4²

Step-by-step explanation:

Answer:

12s + 5c = 125

5s + 5c = 85

price of senior citizen ticket = $5.71

price of a child's ticket = $11.29

Step-by-step explanation:

This question can be solved using simultaneous equation

12s + 5c = 125 equation 1

5s + 5c = 85 equation 2

subtract equation 1 from 1

7s == 40

s = 40/7 = 5.71

Substitute for s in equation 1

12(5.71) + 5c = 125

68.57 + 5c = 125

5c = 125 - 68.57

5c = 56.43

c =11.29

Answer:

the answer is C

Answer:

All Triangles are closed figure polygons that have three straight sides

Step-by-step explanation:

All 2D shapes are plane figures so this one is false. Three right angles are greater than 180 so this is fake. Polygon and closed figures are shapes with three or more closed sides. And triangles have straight sides.

Answer:

The answer is 3,200 oz.

Step-by-step explanation:

Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200

Answer:

[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]

Step-by-step explanation:

This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.

We are given angle A which measures 37 degrees.

Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.

We should use tangent.

[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]

[tex]tan37= \frac {48}{x}[/tex]

Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.

[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]

[tex]tan37*x=48*1[/tex]

[tex]tan37*x= 48[/tex]

x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.

[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]

[tex]x= \frac{48}{0.7535540501}}[/tex]

[tex]x=63.69815144[/tex]

Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.

[tex]x\approx 63.7[/tex]

The unknown side is approximately 63.7 units long.

Answer:

4 hrs 30 mins

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

We solve the above question using Triangle Proportionality Theorem

This states that:

TU : TS = QR : RS

TU/TS = QR/RS

TU = ?

TS= 17

RS = 13

QR = 26

Hence,

TU/7 = 26/13

Cross Multiply

13 × TU = 17 × 26

TU = 17 × 26/13

TU = 17 × 2

TU = 34

Therefore, TU = 14

Answer:

2.a..A=1/2 ×1.0×2.4=1.2m²

b.area of rectangle button=l×w=2.4×2.8=6.72m²

c.area of back =l×w=1.0×2.8=2.8m²

d.area of top =l×w=2.8×2.6=7.28m²

3.

total area =2×area of traingular side +area of rectangle button+c.area of back+area of top

=2×1.2+6.72+2.8+7.28=19.2m²

4.Assumption

total area of triangular prism is

sum of area if each faces.

Answer:

ITS 32 m^3

Step-by-step explanation:

Option C

just trust me homie... :)

Answer:

C. 32 m cube

hope this helps

have a good day :)

step-by-step explanation:

See the diagram of the circumscribed polygon attached below:

Answer:

A. 14.2 in.

Step-by-step explanation:

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g

Let's find g.

a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)

b = 3.4 - 1.9 = 1.5 in.

b = c = 1.5 in. (Tangents drawn from an external point)

d = 3.6 - 1.5 = 2.1 in.

d = e = 2.1 in. (Tangents drawn from an external point)

f = 3.7 - 2.1 = 1.6 in.

f = g = 1.6 in. (Tangents drawn from an external point)

✔️Therefore,

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.

Answer:

5 2/3 pound of 1 cake

Step-by-step explanation:

34 / 6 =

(30 / 6) + (4 / 6) =

5 + 2/3 =

5 2/3

Answer:

the second option

Step-by-step explanation:

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5

Answer:

$9

Step-by-step explanation:

divide 6/4 to get the price per avacado so its $1.5 per avacado.

multiply 1.5 x 6 = 9

Answer:

Step-by-step explanation:

If you're referring to angle B then it's SOH

Opposite is 5 and Hypontenuse is 7

Answer:

[tex]x = \sqrt{3} \: meters[/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

The question could be solve using 2 methods:

1) Looking at the angle 30°

2) Looking at the angle 60°