Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an equilateral triangle with sides of 3.5 inches. If the height of the triangle is 4 inches, how much surface area is needed to be painted?


Urgent PLS

Answer:

B

Step-by-step explanation:

Answer:

can u clarify bc area is 2 but 4 things is perimiter

Step-by-step explanation:

Answer:

The angle of elevation from the base to the top of the mountain is 30°.

Step-by-step explanation:

Given: Vertical height of mountain is 650 feet and the distance from the top of the mountain to the base is 1300 feet.

To find: The angle of elevation from the base to the top of the mountain.

Let AB be the height of mountain and BC be the base.

Then, according to question, AB=650 feet and AC=1300 feet.

Let ∠ACB=[tex]\Theta[/tex].

Then, in ΔABC,

[tex]sin\Theta=\frac{AB}{AC}[/tex]

⇒[tex]sin\Theta=\frac{650}{1300}[/tex]

⇒[tex]sin\Theta=\frac{1}{2}[/tex]

⇒[tex]\Theta=30[/tex]°

Hence, the angle of elevation from the base to the top of the mountain is 30°.

Answer: $65; $35+r•2

Step-by-step explanation:

So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.

Answer:

C. 5

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Answer:

The dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=[tex]lbh=x^2h[/tex]

[tex]4=x^2h[/tex]

[tex]h=\frac{4}{x^2}[/tex]

Now, surface area of box,A=[tex]x^2+4xh[/tex]

[tex]A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}[/tex]

[tex]\frac{dA}{dx}=2x-\frac{16}{x^2}[/tex]

[tex]\frac{dA}{dx}=0[/tex]

[tex]2x-\frac{16}{x^2}=0[/tex]

[tex]2x=\frac{16}{x^2}[/tex]

[tex]x^3=8[/tex]

[tex]x=2[/tex]

[tex]\frac{d^2A}{dx^2}=2+\frac{32}{x^3}[/tex]

Substitute x=2

[tex]\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0[/tex]

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=[tex]\frac{4}{2^2}=1 ft[/tex]

Hence, the dimension of box=[tex]2ft\times 2ft\times 1ft[/tex]

Answer:

y = 0.2x + 31

855 minutes would cost $202.

Step-by-step explanation:

Let,

a be the cost per minute and f be the flat fee charged.

Now,

130a + f = 57         Eqn 1

520a + f = 135      Eqn 2

Subtracting Eqn 1 from Eqn 2

520a + f - 130a - f = 135 - 57

390a = 78

Dividing both sides by 390

a = $0.2

Putting in Eqn 1

130 (0.2) + f = 57

26 + f = 57

f = 57 - 26

f = 31

Hence the company charges a flat fee of $31 and $0.2 per minute.

Equation in slope intercept form.

y = 0.2x + 31

Now putting x = 855

y = 0.2(855) + 31

y = 171 + 31

y = $202

Therefore,

y = 0.2x + 31

855 minutes would cost $202.

Answer:

x = 4

Step-by-step explanation:

5x - 3 + x = 21

6x - 3 = 21

6x = 24

x = 4

Step-by-step explanation:

I can only answer part 2 of your question, "If we multiply two positive numbers, is the result positive or negative?". if you multiply 2 positive numbers your answer would be positive.

If we multiply two positive numbers, then the result is also positive.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that If a car is traveling east when it passes the camera, then;

the position be positive 60 seconds after it passes the camera.

Therefore, If we multiply two positive numbers, then the result is also positive.

Learn more about multiplications;

https://brainly.com/question/14059007

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Answer: x=13,y=39

Step-by-step explanation: y=3x,x+y=52

x+3x=52

4x=52

x=52/4

x=13

y=3(13)

y=39

Answer:

is this the right question please??

Start by counting the total number of base ten blocks you have is the first step if the  base ten blocks shown are to be divided into 13 equal groups.

To divide the given base ten blocks into 13 equal groups, you should follow these steps:

Start by counting the total number of base ten blocks you have.

Divide the total number of blocks by 13 to determine the number of blocks in each group.

If the number of blocks is not evenly divisible by 13, you may have some remainder blocks.

To learn more on Division click:

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Answer:

V= 201.1

Step-by-step explanation:

Answer:

I think x = 7

but I'm not sure

.. :-))

Answer:

0

257/20

-1/4

Step-by-step explanation:

these are the answers

Answer:

1.563

Step-by-step explanation:

Given :

Probability of head, p = 0.64

Number of flips it would take for tail to appear first :

Treatting the question as a geometric function :

Using the relation :

1 / p

Expected number of flips until first tail :

1 / P = 1/ 0.64 = 1.5625

E(x) = expected number of flips until first tail = 1.563

Answer:

182 boys

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

$4.95

Step-by-step explanation:

Answer:

$1.65

Step-by-step explanation:

if you divide $0.99 bye 3 you get 33 that means 1 banana cost $0.33 and you have to multiply $0.33 by 5 your answer will be $1.65

Answer:

It is the first graph to the left

Step-by-step explanation:

because basically it is saying that it is -1/-2 rise over run

Answer:

they all are the same but the 2nd one has more of a lumnicution so thats the answer

Step-by-step explanation:

Answer:

12(x) + 20

Step-by-step explanation:

x represents the amont of dogs and the +20 is the flat fee.        

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Answer:

Step-by-step explanation:

Given the data table :

x : __ $2_ $14_ _$20 __ $100

P(x) : 0.40_ 0.20 _0.20 _0.20

The mean :

E(x) = Σ(x*p(x))

E(x) = (2*0.4) + (14*0.2) + (20*0.2) + (100*0.2)

E(x) = 27.6

The standard deviation :

SD(x) = sqrt(Σ(x² * p(x)) - E(x)²)

Σ(x² * p(x)) - E(x)² :

((2^2*0.4) + (14^2*0.2) + (20^2*0.2) + (100^2*0.2)) - 27.6^2

2120.8 - 761.76

= 1359.04

Sqrt(1359.04)

SD(x) = 36.865159

SD(x) = 36.87

Answer:

uoyhhgvooihyjug

Step-by-step explanation:

uyfiuyf

Answer:

[tex]y=\frac{-1}{2}x +3[/tex]

Step-by-step explanation:

Take any two points from the graph

(2 , 0) ; (0 , -4)

Slope = [tex]\frac{-4-0}{0-2}\\\\[/tex]

                   [tex]= \frac{-4}{-2}\\\\= 2[/tex]

Slope of the perpendicular line = -1/m = -1/2 =  -1/2

m = -1/2 ; (-4 , 5)

y - y1 = m(x - x1)

[tex]y - 5 = \frac{-1}{2}(x -[-4] )\\\\y - 5= \frac{-1}{2}(x + 4)\\\\y - 5 = \frac{-1}{2}x +\frac{-1}{2}*4\\\\y-5 = \frac{-1}{2}x -2\\\\y = \frac{-1}{2}x-2+5\\\\y=\frac{-1}{2}x + 3[/tex]

Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Answer:

Any equation that has the same slope (1/3), and a Y-intercept other than 6

Step-by-step explanation:

Answer:

5.1 :)

Step-by-step explanation:

Answer:

its C) 14 + 77 = 7(2 + 11)

Step-by-step explanation:

because d is associative property, a is addition, B is commutative property and ONLY c showed distributive property

hope it helps :)