Which equation can be used to calculate the surface area of the triangular prism net show below?

The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters.

[Not drawn to scale]

a
Surface Area = (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)

b
Surface Area = (one-half) (5) (13) + (one-half) (5) (13) + (13) (10) + (12) (10)

c
Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)

d
Surface Area = (one-half) (5) (12) + (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)

What is the area of the composite figure?

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

a
70 square centimeters

b
100 square centimeters

c
105 square centimeters

d
130 square centimeters

Answer:

54.8 Nm

Step-by-step explanation:

Torque is the cross product of the radius vector and force vector:

τ = r × F

Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.

τ = rF sin θ

Here, r = 0.366 meters and F = 155 Newtons.  F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.

τ = (0.366 m) (155 N) (sin 75°)

τ = 54.8 Nm

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Answer:

40m

Step-by-step explanation:

28÷7=4

10 x 4= 40

Answer:

D for A then for B is C

Step-by-step explanation:

so if you calculate me but it is going to help you in this

Answer:

2.4 cm

Step-by-step explanation:

The formula we would use

S = rθ

Where S = Arc length

θ = central angle in radians

r = radius of the circle or length of the radius.

From the question, we can see that if

If C = a point on circle A

The Segment BC = The arc length of the circle = 12cm

∠BAC = central angle in radians = 5 radians.

Since, S = rθ,

Length of the radius = S/θ

= 12cm/5 radians

Length of the radius = 2.4 cm

Answer:

[tex]\frac{x-14}{2}=24[/tex]

Step-by-step explanation:

In the given figure two secants are intersecting outside the circle.

Angle formed by these secants = 24°

Measure of arcs intercepted = x° and 14°

Formula to get the unknown chord is,

24° = [tex]\frac{1}{2}(x-14)[/tex]

Therefore, equation (2) given in the equation bank will be used.

By further solving for the value of x,

24×2 = ( x - 14)

48 = x - 14

x = 48 + 14

x = 62°

Answer:

y = 4 (x - 9/2) +0

Step-by-step explanation:

hope ot helps you

Answer:

here

Step-by-step explanation:

Answer:

See explanation below

Step-by-step explanation:

In this case, I'm assuming you want to know the price of all items purchased by Andrea.

Let's gather all the data.

Andrea has initially 54$. From that she got a Brush (B), a sketchbook (S) and a paint set (P). At the end, she has a left over of 1.5$, so she actually spends 52.5$, and our first equation would be:

B + S + P = 52.5  (1)

Now, the B cost 1/6 as the S, and S was 3/4 the paint set, so oru equations here would be:

B = 1/6S (2)

S = 3/4P (3)

Now, according to this we can write the (1) expression in function of (2) and (3).

Replacing (3) in (2):

B = 1/6 (3/4P)

B = 3/24P

B = 1/8P  (4)

And replacing (3) and(4) in (1) we have:

1/8P + 3/4P + P = 52.5

From here we can solve for P:

15/8P = 52.5

P = 52.5 * 8 / 15

P = 28.16$

Now we can replace this value to get the Sketchbook, and then, the brush:

S = 3/4 * 28.16

S = 21.12$

B = 1/6 * 21.12

B = 3.52$

These values would be the price of all items.

Answer:    Sally recieves £60 more than Megan

Step-by-step explanation:

Add the  ratio together 1+3+2=6

£180 divided by 6 = 30

Megan gets 30

Sally gets 30x3=90

Tom gets 30x2=60  30:90:69

Answer:

Average monthly interest = $ 122.04

% total interest =36.94 %

Step-by-step explanation:

There are 120 cumulative payments and the total interest paid was $ 14,644.95.

Hence, the average monthly interest is :

Average monthly interest = $ 14,644.95 / 120

Average monthly interest = $ 122.04

% total interest

= ($ 14,644.95) / $ 39,644.95 x 100

% total interest =36.94 %

Answer:

The annual net income is $2770

Step-by-step explanation:

The annual net income on the rental property is the yearly rental minus the yearly annual expenses which consist mortgage interest,taxes, repairs,insurance as well as annual depreciation totaling $8,750

Annual rental =monthly rental* 12 months=$960*12=$ 11,520.00  

Annual net income=$ 11,520.00-$8,750.00=$2,770

The annual net income is the gain that accrues to Anne Deno for purchasing the rental property and the subsequent letting to tenants

Answer:

[tex](x-2)^{2} +(y-5)^{2} =\sqrt{68}[/tex]

Step-by-step explanation:

Givens

First, we need to find the radius, which is the distance between the given points.

[tex]d=\sqrt{(3-5)^{2} +(10-2)^{2} } =\sqrt{4+64}=\sqrt{68}[/tex]

Therefore, the radius of the circle is

[tex]r \approx 8.25[/tex]

The explicit form of the equation of the circle would be

[tex](x-2)^{2} +(y-5)^{2} =\sqrt{68}[/tex]

Answer:

200% of 32 would be : 32 x 200/100 = 32 x 2 = 64

Hope this helps!

:)

Answer:

64

Step-by-step explanation:

When you want to know the 200% of a number just simply multiply it by 2.

In general, if you were to face with questions like this, just remove the zeros in the percentage and multiply.

200% of 32

2 × 32 = 64

Answer:

31.5×10.51

315/10×1051/100

331065/1000

331.065

Answer:-3/5x(squared)+17

Step-by-step explanation:

Simplify and combine like terms

Answer:

3

Explanation

There are 3 digits in the number 248 which is the square root of 61504.

√61504 = 248 --- 3 digits in 248

Answer:

w = 20

Step-by-step explanation:

Add 18 on both sides:

[tex]\frac{w}{4} =5[/tex]

Multiply by 4 on both sides:

w = 20

Answer:

20

Step-by-step explanation:

Let's solve your equation step-by-step.

−13=−18+ w/ 4

Step 1: Simplify both sides of the equation.

−13=−18+ w/ 4

−13=−18+ 1/ 4 w

−13= 1/ 4 w−18

Step 2: Flip the equation.

1/ 4 w−18=−13

Step 3: Add 18 to both sides.

1/ 4 w−18+18=−13+18

1/ 4 w=5

Step 4: Multiply both sides by 4.

4*( 1/ 4 w)=(4)*(5)

w=20

Answer:

168

Step-by-step explanation:

You do 5 times 32 then divided 60 by 15 to figure out how much of 1 min is 15 sec its 1/4 so u do 1/4 of 32, 8 and add that to 5 times 32

Answer: 10

Step-by-step explanation:

100/10=10

4030/10=403

Answer:

John will need 34 more tickets to be able to go on all the rides he wants

Step-by-step explanation:

To solve this, we need to first of all know the total cost in terms of tickets of all the rides that john wants to have.

This will be

cost of roller coaster ride = 19 tickets

cost of bumper car ride = 3 tickets

cost of merry-go-round ride = 33 tickets

Total cost of rides = 19 + 3 + 33 =55 tickets

Next, we will need to find the number of tickets that John has left after losing 10 of them.

This will be 31 - 10 = 21 tickets left

To find the number of more tickets that John needs , we will subtract the number of tickets he has left from total ride ticket cost.

This will be 55-21 = 34 tickets.

Hence, John will need 34 more tickets to be able to go on all the rides he wants

Answer:

Step-by-step explanation:

Answer:

sin=0

cos=-1

tan=0

csc=undefined

sec=-1

cot=undefined

Step-by-step explanation:

On the unit circle, [tex]-\pi=\pi[/tex]. The sin of theta is therefore 0, the cosine is -1, and the tangent is 0/-1=0. Since the following functions are just the reciprocals of the previous ones, the cosecant is 1/0=undefined, the secant is 1/-1=-1, and the cotangent is 1/0= undefined. Hope this helps!

All six trigonometric ratios were calculated using a unit circle and comes out to be

[tex]sin(-\pi )= -sin\pi =0\\cos(-\pi )= cos\pi =-1\\tan(-\pi )= -tan\pi=0 \\cosec(-\pi )= -cosec\pi =infinity\\sec(\pi )= sec\pi =-1\\cot(-\pi )=-cot\pi=infinity[/tex]

I have attached a unit circle diagram.

In this unit circle corresponding values of sine and cosine have been written near the angle 'α' in form (cosα,sinα)

x-coordinate is cosα

y-coordinate is sinα

now,

one can find other trigonometric ratios

[tex]tan\alpha =\frac{sin\alpha }{cos\alpha } \\\\cot\alpha =\frac{1}{tan\alpha } \\\\cosec\alpha =\frac{1}{sin\alpha } \\\\sec\alpha =\frac{1}{cos} \\[/tex]

Hence, we can find the rest of the trigonometric ratios by using the coordinates (cosα,sinα) for a particular angle 'α'.

to get more about unit circle refer to the link,

https://brainly.com/question/16577559

Answer:

1

Step-by-step explanation:

The greatest common factor GCF of 9 and 14 is 1.

Given the numbers in the question:

9 and 14

To find the greatest common factor of two numbers, we need to identify all the factors of each number and then determine the greatest number they have in common.

First:

Factors of 9 are 1, 3, and 9, as these are the whole numbers that divide 9 without leaving a remainder.

Next,

Factors of 14 are 1, 2, 7, and 14, as these are the whole numbers that divide 14 without leaving a remainder.

The common factors of 9 and 14 are 1 since it is the only number that divides both 9 and 14.

Therefore, the greatest common factor of 9 and 14 is 1.

Learn more about greatest common factors here: https://brainly.com/question/29584814

#SPJ6

Answer:

[tex]x=\frac{6}{5}[/tex]

Step-by-step explanation:

[tex]\frac{3}{5} / 2=\frac{3}{10}[/tex]

[tex]\frac{3}{10} =\frac{1}{4} x[/tex]

[tex]x=\frac{6}{5}[/tex]

Answer:

x=

[tex] \frac{5}{6} [/tex]

Step-by-step explanation:

(3/5)/2=(1/4)x

3/10=1/4x

12x=10

x=10/12=5/6

Answer:

0.45.

Step-by-step explanation:

To find the solution to this question, we will first need to determine how many cards are neither Cincinnati Reds and Cleveland Indians. We can do this by:

100 - 22 - 33 = 45. This is the number of cards that are neither the two teams.

To convert this to a decimal, simply divide by 100, giving us:

45 ÷ 100 = 0.45.

Answer:

18.5

Step-by-step explanation:

The length of fringe Sharon needs to purchase is: 16 feet

If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet

Recall:

Perimeter of a rectangular = 2(length + width)

Given the following:

The length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread

Perimeter = 2(3 + 5) = 16 feet

For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:

Length = 3 + 1.25 = 4.25 feet

Width = 5 feet

New Perimeter = 2(4.25 + 5) = 18.5 feet

Learn more about perimeter of rectangle on:

https://brainly.com/question/17297081

Answer:

  see below

Step-by-step explanation:

You have 3 chances in 5 of drawing a white counter, so the probability is ...

  3/5 = 0.6

Your mark will go at 0.6 on the probability scale.

Answer:

It will take 1.19 seconds for the ball to hit the ground if no other players touch it

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

[tex]h(t) = -4.9t^{2} + 5t + 1[/tex]

How long will it take the ball to hit the ground if no other players touch it?

This is t when h(t) = 0. So

[tex]-4.9t^{2} + 5t + 1 = 0[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]-4.9t^{2} + 5t + 1 = 0[/tex]

So [tex]a = -4.9, b = 5, c = 1[/tex]

So

[tex]\bigtriangleup = 5^{2} - 4*4.9*1 = 44.6[/tex]

[tex]t_{1} = \frac{-5 + \sqrt{44.6}}{2*(-4.9)} = -0.17[/tex]

[tex]t_{2} = \frac{-5 - \sqrt{44.6}{2*(-4.9)}  = 1.19[/tex]

Since we want a time measure, the answer cannot be negative.

It will take 1.19 seconds for the ball to hit the ground if no other players touch it

Answer:

The population is everyone listed in the city phone directoy; the sample is the 75 people selected

Step-by-step explanation:

Answer:

1. 0.75

2. 0.25

Step-by-step explanation:

Let's start off with number 1

There is only 2 answers that would make sense.

0.6 and 0.75

But only one is the answer

To find the answer you have to go to the columns that represent the equation

Then you divide

108/144

= 0.75

Now in number 2

You have to place the information in the graph where it corresponds and you get the numbers 24/96

Now divide

24/96

=0.25

Hope this helped :)

Have a good one!

Answer:

Let's denote:

probability that a person paid regular admission P(A)

probability that a person purchased no snack P(B)

probability that a person got discount on admission P(C)

probability that a person purchased snack P(D)

For picture 1

Applying Bayes theorem, we have:

probability that a person paid regular admission, given that person purchased no snack : P(A|B) = P(A ∩ B)/P(B) = (108/240)/(144/240) = 108/144 = 0.75

=> Option D is correct

For picture 2

As shown in picture, we have:

probability that a person got discount on admission and purchased snack:

P(C ∩ D) = 24/240 = 0.1

=> Option C is correct

Hope this helps!

:)

Answer:

4,500

Step-by-step explanation:

To find the number of students majoring in economics, you must turn 90% into a decimal making it .9.

Then you multiply the decimal to how many students there are (5000x.9) and that gives you 4,500.