Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.

Answer:

See below

Step-by-step explanation:

b) 200 ft = -16 (t-2)^2  + 400

      200 / 16 = (t-2)^2

           sqrt (12.5 ) = t-2

              2 + sqrt (12.5)  = t  

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

Explanation:

In other words,

N is some positive whole number.

Add up all those expressions and set the sum equal to the 150 books total. Solve for N.

(1st stack) + (2nd stack) + (3rd stack) = total

(2N+30) + (2N) + (N) = 150

(2N+2N+N) + 30 = 150

5N + 30 = 150

5N = 150-30

5N = 120

N = 120/5

N = 24 which is the number of books in the 3rd stack

2N = 2*24 = 48 is the number of books in the 2nd stack.

2N+30 = 2*24+30 = 48+30 = 78 books in the 1st stack

Check:

1st+2nd+3rd = 78+48+24 = 150

The answer is confirmed.

Answer:

it 152 u have to add 3 time like this

90+10+30+ it gives you 152

Step-by-step explanation:

hope this works or help

The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem

Permutation has to do with arrangement while combination has to do with selection.

When choosing an object from other pool of object, we will have what is called combination.

From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.

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Answer:

We need 45 cups on onion

Step-by-step explanation:

green pepper : onion: tomato: total

1                          5              7        13

We have 117 total so divide by 13

117/13 = 9

Multiply each number by 9

green pepper : onion: tomato: total

1*9                        5*9        7*9        13*9

9                            45         63           117

We need 45 cups on onion

Answer:

$7500

Step-by-step explanation:

Let investment in 5% bond be x

(18000 - x) * 12% - x * 5% = 885

18000*12 - 12x - 5x = 88500

216000 - 88500 = 17x

x = 7500

Answer:

D. Graph D

Step-by-step explanation:

First, off me know that that equation is in slope-intercept form.

Therefore, your y-intercept is (0,1)

Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.

Now you need to pay attention to the sigh. It's [tex]\leq[/tex].

That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)

Giving you D.

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

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          What is the mean of the dataset (10, 5, 7, 9, 5, 18)?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Mean [tex]\rightarrow[/tex] 9

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

               First, add all the numbers together:-

10+5+7+9+5+18

[tex]\textsf{54}[/tex]

Now divide by how many numbers there are (6):-

54:6=9

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

Answer:

9

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of terms

(10+5+7+9+5+18)

54

There are 6 terms

54/6=9

The mean is 9

Answer:

not sure if this is correct but i tried (1267200 feet)

Answer:

21120 ft

Step-by-step explanation:

We need to change 8 miles per hour to feet per minute

8 miles      5280 ft      1 hour

----------- * ----------      * ----------

hour          1 mile          60 minutes

704 ft/ minute

Now multiply by 30 minutes

704 ft / minute * 30 minutes =21120 ft

The equation we can use to find the surface area of the cylinder is: 2π(4)(16 + 4).

Surface area of a cylinder = 2πr(h + r), where h is the height and r is the radius of the cylinder.

Given the following:

Equation to find the surface area of the cylinder = 2π(4)(16 + 4)

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Answer:

0.805ft

Step-by-step explanation:

she determines the surface area of material she needs to create

Answer:

24.00

Step-by-step explanation:

hope this helps

Answer:

9.97 meters

Step-by-step explanation:

The silo is one leg of a right triangle    the other leg is the distance from the silo

for a right triangle    tan = opposite side / adjacent side

                                 tan(14) = height/40

                                40 tan 14 = height = 9.97 m

Answer:

seventh tenths as a decimal are 0.7

Take 2 points

#a

Find slope

#b

Find equation y inetercept is our answer

b=635

#c

So

Answer:

(0,∞) , {y|y>0}

Step-by-step explanation:

Answer:

  50.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.

__

The short side is adjacent to the largest acute angle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(β) = (2√6)/(2√15) = √0.4

The angle measure is found using the inverse cosine function:

  β = arccos(√0.4) ≈ 50.8°

The larger acute angle is about 50.8°.

The correct statement is the first one. g(x) exceeds f(x) by 72.

By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:

f(x) = 10 + 3x

g(x) = (1/2)^x

By evaluating these functions in x = -6 we get:

[tex]f(-6) = 10 - 3*6 = -8[/tex]

[tex]g(-6) = (1/2)^{-6} = 64[/tex]

The difference is:

g(-6) - f(-6) = 64 + 8 = 72

Then the correct option is the first one, g(x) exceeds f(x) by 72.

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Answer:

less than

Step-by-step explanation:

Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr

Answer:

greater

Step-by-step explanation:

π = 3.1425.....

π > 3

π^2 > 9 > 7.2

Answer: 3125m

Step-by-step explanation:

volume = h · d · w

V= 2.5 * 50 * 25

v= 3125

The option (C) LA and (D) ASA are correct because two angles and one side are the same.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

From the triangle DEF and triangle JKL

∠D = ∠J  (given)

∠F = ∠L  (given)

ED = KJ  (given)

∴ Triangle DEF and triangle JKL are congruent by the ASA

ΔDEF≅ΔJKL

Also:

∠F = ∠L  (given)

ED = KJ  (given)

ΔDEF≅ΔJKL by LA

Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.

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Answer:

40 questions.

Step-by-step explanation:

By proportion:

80 %      is equivalent to  32 questions

So 100%  ..   ..   ..  ..   ..  ..   (32/80) * 100

= 32 * 5/4

= 160/4

= 40

Answer:

40

Step-by-step explanation:

80/100=32/x

You can also set this up with a diagram.

x=40

Answer:

angle 1 is 15, angle 2 is 75

Step-by-step explanation:

angles 1/2/3/4 is the same as 5/75 degrees/7/8 respectively

Answer:

Step-by-step explanation:

[tex]-11 \frac{2}{3} x -4\frac{1}{5} =[/tex]

First we change the mix number fractions into a improper fraction

[tex]\frac{-11*3+2 }{3} x- \frac{4*5+1}{5} =[/tex]

[tex]\frac{-33+2}{3} x- \frac{20+1}{5} =[/tex]

[tex]\frac{-31}{3}x - \frac{21}{5} =[/tex]

Give both fractions the common denominator 15 and subtract the fractions

[tex]\frac{-31x*5}{15} - \frac{21*3}{15}=[/tex]

[tex]\frac{-155x -63}{15}[/tex]

Answer:

Find the Volume of a Cylindrical Tank whose radius is 10cm and the height is 21cm. (Take π = [tex] {\bold{\frac{22}{7}}}[/tex])

We know that,

[tex] \quad [/tex][tex] \quad [/tex][tex] { \boxed{ \sf{Volume \: of \: Cylinder =\pi {r}^{2}h }}}[/tex]

➛ [tex] { \large{\frac{22}{7} \times {(10)}^{2} \times 21}} [/tex]

➛ [tex] { \large{ \frac{22}{7} \times 10 \times 10 \times 21 }} [/tex]

➛ [tex] { \large{ \frac{22}{7} \times 100 \times 21 }} [/tex]

➛ [tex] { \large{ \frac{22}{{ \cancel{7}} ^{1} } \times 100 \times { \cancel{21}}^{3} }} [/tex]

➛ [tex] 22 \times 100 \times 3 [/tex]

➛ [tex] 22 \times 300 [/tex]

➛ [tex] { \boxed{ \green{6600{ \rm{ {cm}^{3}}} }}} [/tex]

Thus, The volume of Cylindrical Tank is[tex]{ \bold{ \: 6600{ { \bold{ {cm}^{3}}} }}}[/tex].

Answer:

Looking at the given points we know that it is going to be rectangle because we have 4 points.  Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].

You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide.  We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.

We then plug in the values and solve

[tex]A = 7\ units * 5\ units[/tex]

[tex]A = 35\ units^2[/tex]

Therefore, the area of our rectangle is [tex]35\ units^2[/tex]

Hope this helps!  Let me know if you have any questions