The dimensions of a triangular prism are shown in the diagram.
5 cm
16 cm
4 cm
6 cm
What is the volume of the triangular prism in cubic centimeters?

Answer:

b is the answer

Step-by-step explanation:

The value of k in the equation sin (k - x) = cos (x) would be k = π/2

Given that,

An expression is defined as,

sin (k - x) = cos (x)

Used the concept of trigonometry formula which stated that,

sin (90 - θ) = cos (θ)

Here, the expression is given as,

[tex]sin (k - x) = cos (x)[/tex]

Substitute k = π/2 in the above equation,

[tex]sin (\dfrac{\pi }{2} - x) = cos (x)[/tex]

Apply the above formula,

[tex]\text {cos x } = \text {cos x }[/tex]

So, the value of k is π/2.

Hence, option c is true.

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

no thx for 50points

Answer:

i think 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.

I’m just tryna get up my bag yurt

Answer:

a) Then minimum sample size is  n = 12

b) We got  245 successes  

c)p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

Step-by-step explanation:

a) The minimum population size required to use the approximation of binomial distribution to normal distribution can be obtained from:

n*p > 5      p  = 0,45     0,45 * n  >  5     n > 11  

Then minimum sample size is  n = 12

b)  We got  245 successes  out of  n = 500

x =  245       p  =  245/500    p  = 0,49

q  =  1 - p     q  =  1  - 0,49    q  =  0,51

Test Hypothesis:

Null Hypothesis                        H₀      p  =  0,45

Alternative Hypothesis            Hₐ      p  > 0,45

Alternative Hypothesis indicates that the test is a one tail test to the right

z( s)  =   (  p  -  0,45  )  / √ p*q/n

z( s)  =   (  0,49 - 0,45 ) / √ 0,49*0,51 / 500

z( s)  =  0,04 /  0,0223

z(s)  =  1,793

p- value for  z = 1.79  is from z-table    p-value = 0,0367

Comparing p-value with the significance level  0,01 we see that

p-value is greater than 0,01 Therefore we accept H₀.

We can´t support our claim

To calculate the distance between two points:

We apply the following formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The points are:

We substitute data and solve:

[tex]\bf{d=\sqrt{(6-(-3))^2+(-8-8(-8))^2 } }\\ \\ \bf{ d=\sqrt{9^2+0^2}=\sqrt{81+0} }\\ \\ \bf{d=\sqrt{81}=9 }[/tex]

The distance between the points (−3,− 8), (6, – 8) is 9.

Answer:

212×0.62=131.44 so Erica drove farther.

Answer:

The answer is Erica drove farther.

Step-by-step explanation:

212 kilometers is 131 miles and Erica drove 200 miles so Erica drove further.

Answer:

29.033333

Step-by-step explanation:

Answer: -1342.966 repeating

Step-by-step explanation: Pemdas≈7^3(8)/6-1800.3=(343)(4)/(3)-1800.3=457.333-1800.3=1342.96

Answer:

No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23

Step-by-step explanation:

Answer:

C.Expression A is 4 times as great as expression B.

Step-by-step explanation:

Given - Without doing any calculations, compare Expression A to Expression B.

A. (34+25) ÷ 1/4

B. 34+25

To find - Which statement is true?

A. Expression A is 2 times as great as expression B.

B.Expression B is 4 times as great as expression A.

C.Expression A is 4 times as great as expression B.

D. The two expressions are equal to each other.

Solution -

The correct answer is - C. Expression A is 4 times as great as expression B.

Reason -

Given that ,

Expression A is -

( 34 + 25 ) ÷ 1 /4

It can also write it as -

4(34 + 25)

And

Expression B given as -

34 + 25

So,

We can clearly see that,

Expression A is 4 times Expression B.

So,

Option C is correct.

Answer:

B is the answer- positive y and negative x

Answer:

give Ff id let's play ......

Answer:

c

Step-by-step explanation:

Answer:

13. 3.5

14. 21.5

Step-by-step explanation:

For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5

For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.

Answer:

1 real soultion

Step-by-step explanation:

Answer:

Step-by-step explanation:

60= s+5  + 2s-5 + s

60 = 4s

15 = s

the short side is 15

the 2nd side is 20

the 3rd side is 25

Answer:

The angle yo measures 40º.

Step-by-step explanation:

Given that the sum of yo and 50 ° is a right angle, to find the value of yo the following calculation must be performed, knowing that a right angle measures 90 °:

50 + yo = 90

yo = 90 - 50

yo = 40

Therefore, the angle yo measures 40º.

Answer:

11

Step-by-step explanation:

1

1 + 2 = 3

3 + 2 = 5

5 + 2 = 7

7 + 2 = 9

9 + 2 = 11

Proportion of cars which are yellow -

= 1 - (0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10)

= 1 - 0.96

= 0.04

Answer:

A) 0.04

Step-by-step explanation:

edge 2023

Answer:

f(x)  =  x² + 6      for x  <  3

and

f(x)  = -x +  6      for x  ≥  3

Step-by-step explanation:

you have to break it up into two separate parts

for x less than 3 is a parabola x²  where y = 6 when x = 0

f(x)  =  x² + 6      for x   < 3

and

for x ≥ 3 the function is a line    two points (3, 3) and (0, 6)

the slope m = (3 - 6) / (3 - 1)   =  -1

y intercept = 6  when x = 0

f(x)  = -x +  6      for x ≥ 3

Answer:

The probability of white marble is 2/ 7

The probability of blue marble = 3/7

Step-by-steThe prop explanation:

Answer:

(y^3-2)(x^2-2)

Step-by-step explanation:

x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).

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Therefore ,the top limit of the normal class of three parts of mean class 10th is therefore 60, and the median class is 40–60.

Simply average a collection of three or more numbers yields the phrase "mean." The median method, which employs the maximum of a group of products, and the arithmetic average approach, which uses the sum of both the series' values, are two ways to determine the mean for just a given set of numbers.

Given:

Grades received:

X   f   fi   xi

0-20,     10  15   150

20-40,  30  18   540

40-60, 50 21   1050

60-80, 70 29 2030

80-100 90 p   90p

Total: 3770 + 90p + 83p

Mean (3770 plus 90 pi)/(83 plus pi) = 53

=> 3770 + 90p = 83 * 53 + 53p

=> 37p = 629

=> p = 17

17 students received scores in the 80–100 range.

f = 29 and modal class 60-80

minimum of modal class 60

=> 60 + 20 * 8/20

=>68

68 is the modal marks value.

=> ∑fixi = 3770 + 90p = 3770 + 90(17) = 5300

=> 100/2 = 50

60 is the maximum median class for 3 phases of class 10 with a median class of 40–60.

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The average like for each minute of the video that he uploads will be 2,000 likes.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total number of likes is calculated as,

Like / View = 1 / 5

Like / 9,000,000 = 1 / 5

Like = 1,800,000

The total number of minutes is calculated as,

Time length = (9,000,000 / 150,000) x 15

Time length = 60 x 15

Time length = 900 minutes

The average like for each minute of the video that he uploads will be given as,

⇒ 1,800,000 / 900

⇒ 2,000

The average like for each minute of the video that he uploads will be 2,000 likes.

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The complete question is given below.

Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo's videos is 1: 5. Dagogo wants to reach a total of 9,000,000 views on his channel.

Assuming these rates continue, how many likes does Dagogo get, on average, for each minute of the video he uploads?

The monthly amortization on the automobile loan, given the loan amount, the period, and the compounding frequency, is ₱ 18, 901.68

The monthly amortization is constant so it will be an annuity. Seeing as we have the loan amount, this means that the present value of an annuity formula can be used to find the monthly amortization.

First, find the period in months:

= 5 x 12 months a year

= 60 months

The interest in months :

= 9 . 5 % / 12 months per year

= 9.5 / 12 %

The monthly amortization is:

= Loan amount / ( Present value interest factor of annuity, 60 periods, 9.5 / 12 %)

= 900, 000 / 47.614827336156

= ₱ 18, 901.68

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