Find the surface area of this triangular prism. Be sure to include the correct unit in your answer. 24yd 10yd 26yd 15yd

Answer:

9

Step-by-step explanation:

for this problem, plug in 2 for every x

2^2 + 5(2) -5

4 + 10 -5= 9

Answer:

9

Step-by-step explanation:

plug 2 in whenever you see the x

Answer:

1. a) rule is that it adds 5 every time

1.b) 25, 30, 35

2.a) rule is that it adds 0.2 every time

2.b) 2.1, 2.3, 2.5

Answer:

That is false.

The sum of any two sides in a triangle must be greater than the length of the third side.

We can see that: 7+9 = 16, and 16 is not greater than 18.

So, this is not a triangle.

Let  me know if this helps!

Answer:

The least expensive cost = $245.32

Step-by-step explanation:

From the information:

Volume of the rectangular container = 10 m²

Assume the width of the container is = w

The base = 2 × width

= 2(w)

Volume = height × base × width

10 = h × 2w × w

[tex]h = \dfrac{10}{2w^2}[/tex]

[tex]h = \dfrac{5}{w^2}[/tex]

Now, to calculate the area of the base; we have:

[tex]Area = length \times width[/tex]

[tex]Area = 2w \times w[/tex]

[tex]Area = (2w^2) \ m^2[/tex]

[tex]Cost \ of \ base = 15 * 2w^2[/tex]

Cost of base = [tex]30w^2[/tex] --- (1)

[tex]Area \ of \ side = 2 ( height \times length ) + 2( height \times width) \\ \\ = 2 (h \times 2w) + 2(h\times w) \\ \\ = 4hw + 2hw \\ \\ = 6 hw \\ \\ = 6 \times \dfrac{5}{w^2} \times w \\ \\ Area = \dfrac{30 }{w} \ m^2[/tex]

Let's not forget that the cost of the sides = $9 per m²

Thus; the cost of the sides will be [tex]= \$ 9 \times \dfrac{30}{w}[/tex]

the cost of the sides [tex]= \dfrac{\$270}{w}[/tex]

Thus the total cost = cost of base = cost of sides

[tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]

By differentiation;

[tex]C'(w) = \dfrac{dC}{dw} \\ \\ = 30 \times 2w + 270 ( \dfrac{-1}{w^2}) \\ \\ C'(w) = 60 w - \dfrac{270 }{w^2} \\ \\[/tex]

[tex]\text{To determine the minimum cost:} \\ \\ C'(w) = 0 \\ \\ So, 60 w - \dfrac{270}{w^2}= 0 \\ \\ \text{By integrating w.r.t w} \\ \\ w ( 60 - \dfrac{270}{w^3}) =0 \\ \\ \implies 60 - \dfrac{270}{w^3} \\ \\ w^3 = \dfrac{270}{60} \\ \\ w^3 = \dfrac{9}{2} \\ \\ w = (\dfrac{9}{2})^{1/3} \\ \\ w = 1.6509 \ m[/tex]

From; [tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]

[tex]Cos t = \dfrac{30 w^3+ 270}{w} \\ \\ =\dfrac{30 (\dfrac{9}{2})+ 270}{1.6509} \\ \\ = \dfrac{135+270}{1.6509} \\ \\ = \dfrac{405}{1.6509} \\ \\ \mathbf{Cost = \$245.32}[/tex]

Answer:

i dont know lol

Step-by-step explanation:

why you asking me

Answer:

Step-by-step explanation:

#3.

n x n - 5 = -4

n x n = 5 + -4

n x n = 1

n = 1

#5.

7x^2 + 1 = 29

7x^2 = 29 - 1

7x^2 = 28

x^2 = 28 / 7

x^2 = 4

x = 2

Hope that helps!

Step-by-step explanation:

step 1. -6(-2/3 + 2x)

step 2. 12/3 + -12x. distributive property

step 3. 4 - 12x.

Answer:

the percentage that you are trying to find

for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.

Step-by-step explanation:

Answer:

$38.4

Step-by-step explanation:

20%=0.20

32*0.20=6.4

32+6.4=38.4

Answer:

Step-by-step explanation:

Both equations have -7y. You can eliminate them by subtracting one equation from the other:

Multiply equation 1 by -1, then add it to equation 2:

-2x + 7y = 74

3x - 7y = -83

———————

x = -9

2x - 7y = -74

2(-9) - 7y = -74

-7y = -56

Y = 8

(x,y) = (-9, 8)

Answer:

1) 224.25

2) 243.31

Step-by-step explanation:

Answers:

===========================================================

Explanation:

Part (a)

We have an observational study because the park ranger is observing the people coming and going, as to whether they leash their dog or not. The people being counted are not asked to fill out a form or survey, so that's why we aren't conducting a survey here.

Ideally, the park ranger should somehow make a visual note of each person so they do not count that person more than once. For example, let's say we had 500 people go through the park. Of that 500, the true number of people who leash their dogs is 20. I don't know what the true percentage is, but let's just go with this hypothetical situation. If those 20 people pass back and forth where this manager is taking note, then he might overcount some individuals and inflate that 20 to say 40 or 60, or perhaps even 100. This is if the ranger doesn't look at the individuals closely and simply marks a tally for "leash" vs "no leash". So that's why there needs to be some quick method to distinguish between any unique guest of the park.

--------------------------------

Part (b)

In contrast to part (a), we have a survey here this time. Each person is asked directly about a specific narrow well defined question. The newspaper reporter isn't going out into the field to simply watch or listen to people discuss about taxes, so that's why we don't have an observational study going on. The reporter should try to keep the question as bias-free as possible. Also, they need to ensure that the sample is representative of the population.

In neither part (a) nor part (b) is an experiment being done. An experiment requires two groups: a treatment group and control group. Also, the researcher would directly affect the treatment group to somehow change one specific aspect, while keeping the control group the same (though possibly giving a placebo of some kind). For each of these, the researcher is simply trying to stay out of the picture as much as possible while gathering the external data.

Answer:

Pretzels: 30 ounces, Nuts: 15 ounces

Step-by-step explanation:

Trust me.

Number of ounces of nuts = 30

Number of ounces of pretzels = 15

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Jamal is making a snack mix with pretzels and nuts.

And, For every ounce of nuts, he will use 2 ounces of pretzels.

Total number of snake mix = 45 ounces

Now,

Let number of ounces of pretzels = y

Let number of ounces of nuts = x

So, We can formulate;

⇒ x = 2y    ... (i)

And, x + y = 45     .... (ii)

Substitute the value of x in equation (ii) , we get;

x + y = 45  

2y + y = 45  

3y = 45

y = 15

And,

x + y = 45  

x + 15 = 45

x = 30

Therefore,

Number of ounces of nuts = 30

Number of ounces of pretzels = 15

Learn more about the mathematical expression visit:

https://brainly.com/question/16583268

#SPJ2

Answer:

1-1=0 haha

Step-by-step explanation:

if you have one ball and then take away one ball, you will have zero balls

Answer:

He will get to save 25 dollars.

Step-by-step explanation:

percentage formula:

($125×20) ÷ 100

(2500) ÷ 100

= 25

Answer:25

Step-by-step explanation: because you divide 11by20 hthen you add in th ermaneder

Answer:

9.) would be 89 and 10.) would be 1500 ft

Answer:

A. 89 B. 1200 ft

Step-by-step explanation:

A.

5(-4²)+9

5(16)+9

80+9

89

B.

-150+1350=

1200

Answer: 16in

4 feet= x inches

4*12= 48

48/3= 16

1/3 of 4 feet is 16in

Answer:

16 inches

Step-by-step explanation:

(1 / 3) * (4 feet)

Answer:

P(Type II error) = 0.1

Step-by-step explanation:

In statistics, the formula for power of a hypothesis is given by;

Power = 1 - P(Type II error)

Where P(Type II error) is the probability of making a Type II error.

We are told that the power is 0.9.

Thus;

0.9 = 1 - P(Type II error)

Making P(Type II error) the subject gives;

P(Type II error) = 1 - 0.9

P(Type II error) = 0.1

Answer:

D

NOTE: 1 HOUR IS 60 MINUTES

do 60+40 gives u the minute which is 100

then 100 x30% = 30

NOTE: for the second round up the digit and multiply it  by 65

so 40.4 x 65 gives 62. something

the nearest number is 60 % so 60% is the answer

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

D

NOTE: 1 HOUR IS 60 MINUTES

do 60+40 gives u the minute which is 100

then 100 x30% = 30

Please mark as brainliest

Have a great day, be safe and healthy

Thank u  

XD

Answer:

73.4

Step-by-step explanation:

I’m 96% sure this is the answer

Answer:

-16 and 6

Step-by-step explanation:

If you went back on a graph from 5 eleven times you would get -16 and if you went forward on a graph you would land on 6. Gl human

Answer:85 degrees

Step-by-step explanation:

Formula for sum of interior angles is (n-2)180. Since there are 7 sides, n-2 is 5.

5 x 180 = 900

Add all the angles given and subtract sum from 900 and you are left with 85 for the missing angle.

Answer:

56 degrees    :)

Answer:

56 degrees

Step-by-step explanation:

the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.

Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x

x=56

Answer:

Step-by-step explanation:

Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.

Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches