Find the surface area of the following triangular prism. surface area=_________ ft²

Answer:

The side length of the square is 3 meters.

The side length of the triangle is 4 meters.

Step-by-step explanation:

This is basically a systems of equations word problem.

To solve this, we have to create two different equations. Let's assume [tex]s[/tex] is the side length of the square and [tex]t[/tex] is the side length of the triangle.

We can make the equation [tex]4s=3t[/tex], since the perimeters are the same. (A square has 4 sides, a triangle has 3 - multiplying by the side length of each will get perimeter)

We also know that the side length of the triangle is 1 meter longer than the side length of the square, so the equation here becomes [tex]t = s+1[/tex].

Now, let's substitute the second equation ([tex]t = s+1[/tex]) into the first ([tex]4s=3t[/tex]).

[tex]4s = 3(s+1)[/tex]

Apply the distributive property:

[tex]4s = 3s+3[/tex]

Subtract 3s from both sides:

[tex]s=3[/tex]

So the side length of the square is 3. We can now plug it into the equation [tex]t = s + 1[/tex] to find the side length of the triangle.

[tex]t = 3+1\\\\t=4[/tex]

Hope this helped!

Answer:

21 is option 3

22 is option 3

23 is option 1

Step-by-step explanation:

Answer:

first number −8 second number −15

Step-by-step explanation:

n+n−7=−23

Combine like terms.

2n−7=−23

Add 7 to each side and simplify.

2n=−16

Divide each side by two and simplify.

n=−8

Now solve for each number.

n−8−=−8 1st number

n −7 2nd number

-8−7

-15

Step 6. Check. Is −15 seven less than −8?

−8−7−=-15

−15=−15✓

Is their sum −23?

−8+(−15)=−23

−23=−23✓

Step 7. Answer the question.

The numbers are −8 and −15.

The numbers are −8 and −15.

It is given that a number is 7 less than another number and the sum of both numbers is -23.

We have to find the value of both of the numbers.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

One number is seven less than the other.

Let's assume 1st number is x.

The 2nd number will be x - 7.

Given ;

Sum of both numbers = -23

i.e.,

x  + (x −7) = −23

2x−7 = −23

2x = -23 + 7

2x = −16

x = −8

So ;

The numbers will be ;

1st number = −8

and

2nd number = x − 7

= - 8 - 7

= -15

Thus , the numbers are −8 and −15.

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Answer:

The average speed for the four laps is 9 km/h.

Step-by-step explanation:

The average speed of the four laps can be calculated as follows:

[tex] \overline{v_{T}} = \frac{\overline{v_{1}} + \overline{v_{2}} + \overline{v_{3}} + \overline{v_{4}}}{4} [/tex]

Where:

[tex]\overline{v_{1}}[/tex]: is the average speed for the first lap

[tex]\overline{v_{2}}[/tex]: is the average speed for the second lap

[tex]\overline{v_{3}}[/tex]: is the average speed for the third lap

[tex]\overline{v_{4}}[/tex]: is the average speed for the fourth lap

Hence, the average speed for the four laps is:  

[tex] \overline{v_{T}} = \frac{12 km/h + 10 km/h + 8 km/h + 6 km/h}{4} [/tex]

[tex] \overline{v_{T}} = 9 km/h [/tex]                                      

Therefore, the average speed for the four laps is 9 km/h.

I hope it helps you!

Answer:

C.

Step-by-step explanation:

You will need to divide the miles in order to understand how much fuel

Answer:

750

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

Answer:

$1.33 per ticket cost

Step-by-step explanation:

5 / $3.75 = $1.33 per 1 ticket cost

The answer is 0.73 because in 0.975 the value of digit 7 is 7/100 ,10 times of 7/100 is  7/10 and the value of 7 in 0.73 is 7/10 ;.tenth value.

The value of each digit in a number is known as the place value. The number is 0.73. The correct option is C.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The value of digit 7 in the number 0.975 is hundredth. Therefore, the digit 7 in the number 0.975 is equal to 7/100.

Now, if the number is 10 times as great as digit 7 in 0.975. Therefore,

7/100 x 10 = 7/10 = 0.7

Thus, the number in which digit 7 have a value that is 10 times as great as the digit 7 in the number 0.975 is the number that is at the first place after the decimal.

Hence, the number is 0.73.

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Answer:

R''(2,-3), S''(-2,-1) and T'(-1,-5).

Step-by-step explanation:

The given vertices of triangle are R(2, 3), S(-2, 1), and T(-1, 5).

Reflection over the y-axis:

[tex](x,y)\to (-x,y)[/tex]

Using this rule, the vertices after reflection are

[tex]R(2,3)\to R'(-2,3)[/tex]

[tex]S(-2,1)\to S'(2,1)[/tex]

[tex]T(-1,5)\to T'(1,5)[/tex]

Rotation at 180 degrees around the origin.

[tex](x,y)\to (-x,-y)[/tex]

Using this rule, the vertices after reflection are

[tex]R'(-2,3)\to R''(2,-3)[/tex]

[tex]S'(2,1)\to S''(-2,-1)[/tex]

[tex]T'(1,5)\to T''(-1,-5)[/tex]

Therefore, the coordinates of vertices after the two transformations are R''(2,-3), S''(-2,-1) and T'(-1,-5).

Answer:

-4

Step-by-step explanation:

5x+4=-16: minus 4 from both sides

5x=-20: Divide by 5 to solve for x

x=-4

Answer:

y = -5x - 29

Step-by-step explanation:

y-intercept form is y = mx +b,

m is slope, for parallel line slope is the same, so m= -5

y = -5x + b

To find b, we need to use the point (-5, - 4).

- 4 = -5*(-5) + b

- 4 = 25 + b

b = - 29

y = -5x - 29

Answer:

12.2

Step-by-step explanation:

By Pythagoras theorem:

[tex] {x}^{2} = {10}^{2} + {7}^{2} \\ {x}^{2} = 100 + 49 \\ {x}^{2} = 149 \\ x = \sqrt{149} \\ x = 12.2065556 \\ x \approx \: 12.2[/tex]

Answer:

x is the variable

Step-by-step explanation:

The variable is the letter in the expression

x is the variable

5 is the coefficient of the variable

7 is the constant

Answer:

No it's not equal

Step-by-step explanation:

Answer: 37.9 ft

Step-by-step explanation:

concept to know: trigonometric relation (sine, cosine, tangent)

In this case, we use cosine (adjacent/hypotenuse)

   cos (65)=16/x

16/ cos(65)=x

               x=37.9 ft (rounded)

Answer:

Step-by-step explanation:

Hello, you need to divide the two polynomials.

[tex]\boxed{2x^2}(x+1)=2x^3+2x^2\\\\2x^3+3x-2x^3-2x^2=-2x^2+3x\\\\\boxed{-2x}(x+1)=-2x^2-2x\\\\-2x^2+3x+2x^2+2x=5x\\\\\text{So, we can write that}\\\\\Large \boxed{\sf \bf \dfrac{2x^3+3x}{x+1}=2x^2-2x+5+\dfrac{-5}{x+1}}[/tex]

B=-2

G(x)=-5

H(x)=x+1

Thanks

Answer:

0.3 or 30%

Step-by-step explanation:

Blue = 1/10

Red = 2 white

**************

White + red = 1 - 1/10

White +2white= 9/10

White = 3/10

Red = 6/10

So probability of white ball is 3/10 or 30%

Answer:

Step-by-step explanation: x can be 3, -3, i, or -i.

Explanation:

If you can't find the factoring by looking at this, simplify the equation.

let

x

2

=

y

to make things easier to see

Now we have

y

2

−

8

y

−

9

=

0

See it now?

We can factor into

(

y

−

9

)

(

y

+

1

)

Now substitute back in

x

2

for

y

.

(

x

2

−

9

)

(

x

2

+

1

)

Since

(

x

2

−

9

)

is a difference of two squares,

(

x

−

3

)

(

x

+

3

)

Now we have

(

x

−

3

)

(

x

+

3

)

(

x

2

+

1

)

x can be 3, -3 for the first two parts

x

2

+

1

=

0

can become

x

2

=

−

1

Taking the positive and negative root means

x

=

±

√

−

1

Thus

x

=

±

i

in addition to 3 and -3.

Answer: It depends on how you round but about 10.44 m.

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

From the picture attached,

Angle 1 and angle 2 are the angles made between two lines intersecting each other at a point and a third line is perpendicular to one of them.

Therefore, both the angles are equal in measure.

Rest all the options are not applicable to show the relation between these angles.

Option (2) will be the correct option.

Answer:

d. People as resources

Step-by-step explanation:

organisational behavior is the study of human behavior in an organization, the interface between human behavior and the organization, and the organization itself. It studies layers of organisational behavior in the level of individual players in an organisation, work group of individual players in an organization, and the nature of interaction between organizations on the larger scale. One of the perspective of study of organizational behavior is to study people as  resources.

Answer:

your answer would be 8000, i hope this helps.

The complete sentence is that [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

A fraction is a piece of another or, more broadly, a set of equal pieces. In everyday English, a fraction refers to the number of portions of a particular size, such as half, eighths, and thirds.

[tex]\boldsymbol{80000=\frac{1}{10}\times 800000}[/tex]

So, [tex]80000[/tex] is [tex]\frac{1}{10}[/tex] of [tex]\boldsymbol{ 800000}[/tex]

Here, of denotes sign of multiplication.

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Answer:

in the chapter 7 in class 9 Ex 7.3

one time -  and second time +

Step-by-step explanation:

x-2=4+x

1) x-2=-(4+x)

  x-2=-4-x

  x+x=-4+2

  2x=-2

  x=-2/2

  x=-1

2) x-2=4+x

   =0

Answer:

  see below

Step-by-step explanation:

See the attachment.

The graph will have x-intercepts where the factors are zero, at x=6 and x=-2. The y-intercept will be the value when x=0: (1/8)(-6)(2) = -1.5.

The axis of symmetry is halfway between the zeros, so is x = (6-2)/2 = 2.

The minimum value of the function is at x=2, so is ...

  y = (1/8)(2 -6)(2 +2) = 1/8(-16) = -2

Other y-values can be found by substituting other x-values in the equation and evaluating it. Rather than go to that trouble, I prefer to use a graphing calculator.

Answer:

The events are  independent.Their conditional probability is equal to the  probability of an event .

2) The probability that there is line spoilage given that there is transformer spoilage=0.08

- Transformer spoilage but not line spoilage=0.046

Transformer spoilage given that there is no line spoilage = 0.05

- Neither transformer spoilage nor there is no line spoilage =0.03

v- Either transformer spoilage or there is no line spoilage  = 0.97

Step-by-step explanation:

Let A be an event that the spoilage is due to transformers so

P(A) = 5% = 5/100 or 0.05

Let B be an event that the spoilage is due to line so

P(B) = 8% = 8/100 or 0.08

Let C be an event that the spoilage is due to both then

P(C) = 3% = 3/100 or 0.03

1)  Independence

For events to be independent their joint probability is given by

P(A) = P(A∩B)/ P (B)  By Law of independence

P(A∩B)= P(A/B)P(B)

P(A∩B) = 5/100 *8/100=40/10000= 4/1000

P(A) = 5/100  

P(A/B) =P(A∩B)/ P (B)

= 4/1000/8/100= 1/20  

P(A)= P(A/B)

5/100 is equal to  1/20

The events are independent.Their conditional probability is equal to the probability of an event

2) The probability that there is line spoilage given that there is transformer spoilage

P(B/A)= P(A∩B)/ P (A) = 4/1000/5/100= 4/50= 2/25=0.08

Which is again equal to probability of event B.

- Transformer spoilage but not line spoilage

P(A∩1-B)= 5/100*92/100= 460/10000=0.046

Transformer spoilage given that there is no line spoilage

P(A/1-B) =P(A∩1-B)/ P (1-B)

= 5/100*92/100/92/100= 5/100 = 0.05

- Neither transformer spoilage nor there is no line spoilage

1-P(A) +P(1-B)= 1-(5/100+92/100)= 3/100= 0.03

v- Either transformer spoilage or there is no line spoilage  

P(A)+P(1-B)= 5/100+92/100= 97/100= 0.97

Answer:

My answer is.

Paying of taxes.

Serving the nation with all our might and strength

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

Answer:

4+2/5+3=3/4 slope

Step-by-step explanation:

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