Which figures have a volume greater than 500 cubic inches? Choose all that apply.


How many times greater is the volume of the sphere than the volume of cone #1? Round your answer to the neared tenth. Use 3.14 for pi.

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

[tex]x - y = 25[/tex]

[tex]2x + 3y = 180[/tex]  

(2)

[tex]2x - 3y = -5[/tex]

[tex]11x + y = 550[/tex]  

(3)

[tex]x - y = 19[/tex]

[tex]-12x + y = 168[/tex]

Solutions

[tex](-17,-36)[/tex]

[tex](47, 33)[/tex]

[tex](51, 26)[/tex]

Required

Match equations with solutions

(1) [tex]x - y = 25[/tex] and [tex]2x + 3y = 180[/tex]

Make x the subject in: [tex]x - y = 25[/tex]

[tex]x = 25 + y[/tex]

Substitute [tex]x = 25 + y[/tex] in [tex]2x + 3y = 180[/tex]

[tex]2(25 + y) + 3y = 180[/tex]

[tex]50 + 2y + 3y = 180[/tex]

[tex]50 + 5y = 180[/tex]

Collect like terms

[tex]5y = 180-50[/tex]

[tex]5y = 130[/tex]

Solve for y

[tex]y =26[/tex]

Recall that: [tex]x = 25 + y[/tex]

[tex]x = 25 + 26[/tex]

[tex]x = 51[/tex]

So:

[tex](x,y) = (51,26)[/tex]

(2)  [tex]2x - 3y = -5[/tex] and [tex]11x + y = 550[/tex]

Make y the subject in [tex]11x + y = 550[/tex]

[tex]y = 550 - 11x[/tex]

Substitute [tex]y = 550 - 11x[/tex] in [tex]2x - 3y = -5[/tex]

[tex]2x - 3(550 - 11x) = -5[/tex]

[tex]2x - 1650 + 33x = -5[/tex]

Collect like terms

[tex]2x + 33x = -5+1650[/tex]

[tex]35x = 1645[/tex]

Solve for x

[tex]x = 47[/tex]

Solve for y in [tex]y = 550 - 11x[/tex]

[tex]y = 550 - 11 * 47[/tex]

[tex]y = 550 - 517[/tex]

[tex]y = 33[/tex]

So:

[tex](x,y) = (47,33)[/tex]

(3)

[tex]x - y = 19[/tex]  and [tex]-12x + y = 168[/tex]

Make y the subject in [tex]-12x + y = 168[/tex]

[tex]y = 168 + 12x[/tex]

Substitute [tex]y = 168 + 12x[/tex] in [tex]x - y = 19[/tex]

[tex]x - 168 - 12x = 19[/tex]

Collect like terms

[tex]x -12x = 168 + 19[/tex]

[tex]-11x = 187[/tex]

Solve for x

[tex]x = -17[/tex]

Solve for y in [tex]y = 168 + 12x[/tex]

[tex]y =168-12 *17[/tex]

[tex]y =-36[/tex]

So:

[tex](x,y) = (-17,-36)[/tex]

Answer:

sqrt(106) =c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

5^2 +9^2 = c^2

25+81 = c^2

106 = c^2

Taking the square root of each side

sqrt(106)= sqrt(c^2)

sqrt(106) =c

Answer:

Length of missing side is 10.44/ √106.

Step-by-step explanation:

Here we have

A right triangle with

1st side = a = 5

2nd sidd = b = 9

and , we need to find 3rd side of triangle

let the 3rd side be x.

Using Pythagoras theorem

a ² + b ² = c ²

( 5 ) ² + ( 9 ) ² = ( c)²

25 + 81 = ( c) ²

106 = ( c) ²

Taking square root of each side

√106 = √ c ²

√106 = c

10.44 = c

So, missing side if triangle is 10.44 /√106.

Answer:

75.5

Step-by-step explanation:

In the picture, since x is an inscribed angle, it's arc(arc XO) would be twice it's measure. Therefore, arc XO in this picture would be represented by 2x and the larger arc(arc XYO) will be represented by 360-2x since it is all of the perimeter except for the portion that is the measure of arc XO.

For this picture, you would use:

[tex]\frac{arc XYO-arc XO}{2}[/tex] =29

[tex]\frac{360-2x-2x}{2}[/tex]                 Substitute in the measures of the arcs.

[tex]\frac{360-4x}{2}[/tex]                       Combine -2x with -2x to simplify the problem

180-2x=29               DIvide by 2

-2x= -151                   Subtract by 180 from both 180 and 29

x= 75.5                     Divide by -2. (Both numbers are - so the answer is a +)

Answer:

4

Step-by-step explanation:

The y-intercept is where x = 0

y = 4(0.6)^0

y = 4(1)

y = 4

B. 180 + 10s. AND 10(18 + s)

Hope this helps! :)

Answer:

the answer is D

Step-by-step explanation:

from :

Tan(60) = x/4 then X = Tan(60) × 4

X = 4×√3

Answer and Step-by-step explanation:

To find x, subtract all of the given angles from 180.

We subtract from 180 because the angles in a triangle (when added together) add up to 180.

180 - 90 - 35 = 55

x = 55 is the answer.

#teamtrees #PAW (Plant And Water)

Answer:

55°

Step-by-step explanation:

Given :-

We know :-

→ 35 + x + 90 = 180

→ x + 125 = 180

→ x = 55°

Answer: (d)

Step-by-step explanation:

Given

The digit 9 in the number 593,104 is at the ten-thousandths place and the value which is 10 times its value must be at lakh place.

Matching with highest place values in the option

(a) Ten-thousand place

(b) Thousand place

(c) Ten-thousand place

(d) lakh Place

Therefore, (d) is the correct option.

Answer: 3275

Step-by-step explanation:

Answer:

its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer

Answer: $9,240

Step-by-step explanation:

If the car was sold at 40% off,

That is 40/100=0.4

selling price=$6600

So, 40% of $6600= 0.4*$6600=$2640

this means that the seller deducted this amount from his cost price to sell it to you.

Therefore,original price he bought will be a sum of both,that is

the amount he sold to you + the amount he deducted =$6600+$2640=$9,240.

Therefore the original price is $9,240

hope it’s correct !

Answer:

(40/100) × X = 6600

X = (6600×100)/40

X = 16500$

Answer:

p = 5,624

Step-by-step explanation:

(32,476 + p) / 381 = 100

multiply both sides by 381

32,476 + p = 38,100

Subtract 32476 from both sides

p = 5,624

Answer:

295.4 [tex]in^3[/tex]

Step-by-step explanation:

[tex]V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\[/tex]

= 295.358

≈ 295.4

Answer:

2×2-3×-5=0

Step-by-step explanation:

(2×2-3×)- 5=0

Answer:

your answer is C

Answer:

I believe it’s the 3rd option but I’m not completely confident

Step-by-step explanation:

who am I kidding I’m never confident lol

Answer:

below

Step-by-step explanation:

uG =(12sin45)/sin85

Given:

The function is:

[tex]f(x)=x[/tex]

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.

To find:

The equation of the transformed function.

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If k<0, then the graph is reflected across the x-axis.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

The graph of this function reflected across the x-axis. The graph is then  translated 11 units up and 7 units to the left.  So, [tex]k=-1, b=11, a=7[/tex]. Putting these value in (i), we get

[tex]g(x)=(-1)f(x+7)+11[/tex]

[tex]g(x)=-(x+7)+11[/tex]                     [tex][\because f(x)=x][/tex]

[tex]g(x)=-x-7+11[/tex]

[tex]g(x)=-x+4[/tex]

Therefore, the required function is [tex]g(x)=-x+4[/tex].

Answer:

52

52

is the correct answer the probability that card drawn is a faace card

Answer:

the probability of a drawing club is 13/52.

The probability of drawing a face card is 12/52.

Step-by-step explanation:

hope it's helpful

Kathy is 18 and Kaity is 6. In six years, Kathy will be 24 and Kaity will be 12.

Good luck :)

Answer:

Katie is 6; Cathy is 18!

Happy learning!

--Applepi101

Answer:

Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.

Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.

We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.

We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.

Learn more about Equation here:

https://brainly.com/question/505879

#SPJ2

Answer:

This doesn't make sense because there is no C variable, but I will solve for f if that helps.

Step-by-step explanation:

[tex]f=1.80+32[/tex]

       [tex]-32[/tex]   [tex]-32[/tex]          

[tex]f=-30.2[/tex]      

(1 / 4) + (1 / 2)

= (1 / 4) + {(1 × 2) / (2 × 2)}

= (1 / 4) + (2 / 4)

= 1 + (2 / 4)

= 3 / 4

(1 / 2) + (3 / 8)

= {(1 × 4) / (2 × 4)} + 3 / 2

= (4 / 8) + (3 / 8)

= (4 + 3) / 8

= 7/8

Answer:

#3 is [tex]\frac{3}{4}[/tex]    #4 is [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

you must find a common denominator in both problems.

For #3 the common denominator is 4 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{2}{2}[/tex] to get [tex]\frac{2}{4}[/tex] then add the numerators together to get 3 and the denominator stays 4.

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

For #4 the common denominator is 8 so you would multiply [tex]\frac{1}{2}[/tex] by [tex]\frac{4}{4}[/tex] to get [tex]\frac{4}{8}[/tex]

then add the numerators together to get 7 and denominator stays 8.

[tex]\frac{4}{8} + \frac{3}{8} = \frac{7}{8}[/tex]

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

$30

Step-by-step explanation:

$12/6=$2/can

$2/can x 15 cans=$30

Answer:

interest per annum is 280

interest for 2 year is 560

Step-by-step explanation:

money deposited in bank = 4000

1persent of 4000 = 40

7 persent of 4000 = 280

interest for 2 year is 280 x 2 = 560

Answer:

out of the 100% they took away 15% leaving u with 85% to pay I think, sorry if I'm wrong

Answer: 5

Step-by-step explanation:

13-8=5

5-13=8