What is the area in square centimeters of the trapezoid below​

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: 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:)

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.

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:

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:

[tex]log_b 1 = 0[/tex]

Step-by-step explanation:

Given

[tex]log_b 1[/tex]

Required

Solve

[tex]log_b 1[/tex]

Express 1 as [tex]b^0[/tex]

[tex]log_b 1 = log_b b^0[/tex]

Apply power rule of logarithms

[tex]log_b 1 = 0 * log_b b[/tex]

Multiply by 0

[tex]log_b 1 = 0[/tex]

Answer:

logb 1 = 0

Step-by-step explanation:

Suppose that logb 1 = x.

Using the definition of a logarithm, bx = 1.

The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.

Therefore, logb 1 = 0.

Answer:

1/4

Step-by-step explanation:

there are 2 footballers

and 8 other sports

therefore, 2/8 or 1/4

Answer:

58

Step-by-step explanation:

The time interval for the mechanic for this job is at least 2 hours and 30 minutes or at most 3 hours and 30 minutes.

At least means lower limit of a given contrast and at most means higher limit of a given contrast.

According to the given question parts for an automobile repair cost ​173 dollars and the mechanic charges 32 dollars per hour.

Given the person receives a cost of at least 253 dollars.

∴ The mechanic's total rate is ( 253 - 173 ) dollars which is = 80 dollars.

Also given the mechanic charges 32 dollars per hour so the time mechanic work for is at least (80/32) hours which is = 2.5 hours or 2 hours and 30 minutes.

In the later case when the owner receives a bill of 285 dollars the total rate of mechanic is

= ( 285 - 173 ) dollars.

= 112 dollars.

So, the mechanic have worked for (112/32) hours which is

= 3.5 hours or 3 hours and 30 minutes.

learn more about at least and at most here :

https://brainly.com/question/13015019

#SPJ2

Answer:

D I think,

Step-by-step explanation:

Answer:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

Step-by-step explanation:

L'expression littérale est la suivante

a) La somme de x et 12 b

Solution

X + 12b

b) Le produit de x par 5

Solution

X * 5

c) La différence entre 17 et x

Solution

17-X

d) Le quotient de x par 9

X / 9

Answer:

3 gallons

Step-by-step explanation:

area = 15.2 x 25.6 = 389.12 m²

389.12/180 = 2.16

Answer:

One partner will pay $15600 and the other would pay $36400

Step-by-step explanation:

52000 ÷ (3 + 7) =

52000 ÷ 10 =

5200

5200 x 3 = 15600

5200 x 7 = 36400

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:

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:

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:

the answer is C

Answer:

-4²

Step-by-step explanation:

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:

[tex] \pi[/tex]

Step-by-step explanation:

[tex] Lim_{x \to\pi} f(x) [/tex]

[tex] =Lim_{x \to\pi} \pi [/tex]

([tex] \because for\: x =\pi, \: f(x) = \pi[/tex])

[tex] = \pi [/tex] (Applying limit)

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:

the expression for s = -1.

is s+1=0

Answer:

4 hrs 30 mins

Step-by-step explanation:

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:

the second option

Step-by-step explanation:

Answer:

5 + (-13) + 2 + 6 + (-12) ;

-12 yards

Step-by-step explanation:

5 yards gain = + 5

13 yard loss = - 13

2 yards gain = + 2

6 yards gain = + 6

12 yards loss = - 12

Using addition Rule :

5 + (-13) + 2 + 6 + (-12)

The net yardage :

5 - 13 + 2 + 6 - 12 = - 12

Net yardage = - 12 yards

Answer:

35 / 7 = 20 / 4

Step-by-step explanation:

20 / 4 equals to 5

35 / 7 equals to 5