The price of a cake of radius r сm and height h cm is given by the formula
P=
[tex] \frac{1}{25} {r}^{2} h[/tex]


If the price of cake is $240 and the height is 15 cm, calculate the radius
of the cake.


pls provide step-by-step explanation, final ans is 20 cm. tysm <33 ​

Step-by-step explanation:

sin x = 12/16 = 0.75

x = arc sin 0.75 = 48.6°

cos x = 36/40 = 0.90

x= arc cos 0.90 = 25.8°

cos x = 10/15 = 0.6667

x= arc cos 0.6667 = 48.2°

tan x = 30/18 = 1.6667

x = arc tan 1.6667 = 59.0°

Answer:

Step-by-step explanation:

t = 2h-8  

since you didn't put in the equations,  just put in what ever variable is where t is at and any variable other than t for the h   :)

Answer:

Please put equations, so I can able to give you ans

Answer:

Adjacent

Step-by-step explanation:

They are next to each other ^^

Answer:

a. 120

b. 336

Step-by-step explanation:

hope this helps:)

Answer:

Sylvia is the tallest.

Step-by-step explanation:

Answer:

Maria

Step-by-step explanation:

Sylvia = 4*12 + 3 = 48 + 3 = 51 inches

Maria = 59 inches

59 > 51 inches

Answer:

2x – 3 = 0

2y = 8.

m + 1 = 0

x + y = 2

3x – y + z = 3.

Step-by-step explanation:

these are 5 examples

x = -1.9/2.1

x = -0.9047619048

As the number or the magnitude of x is a terminating decimal number so it is not irrational number its a rational number

Hope it helps

I am answering this so the other answer can get brainliest since they were the ones who gave you the answer :)

Answer:

B=50

Step-by-step explanation:

THE TRINGLE IS 180 DEGREE (RULE)

(X+38)+(3X-12)+(2X-2)=180

6X=180-(38-12-2)

6X=156

X=26

B=2X-2

B=2(26)-2=52-2=50

Answer:

B=50

Step-by-step explanation:

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

Explanation:

The diagram shows that PT = 4 and QR = 5. Since QR is a radius of the circle, this means that the other radii segments TR and RS are also 5 units long.

Note how PR = PT+TR = 4+5 = 9, and how this segment is the hypotenuse for the right triangles PQR and PRS.

Picking either triangle, we have one known leg of 5 units (the radius mentioned earlier) and the other is unknown. The unknown leg is tangent to the circle, and recall that a tangent segment is always perpendicular to the radius at the point of tangency. So that's why we have right triangles.

Apply the pythagorean theorem to find the length of PQ and PS (both are the same length)

a^2 + b^2 = c^2

a^2 + 5^2 = 9^2

a^2 + 25 = 81

a^2 = 81 - 25

a^2 = 56

a = sqrt(56)

a = sqrt(4*14)

a = sqrt(4)*sqrt(14)

a = 2*sqrt(14)

The exact length of PQ and PS is 2*sqrt(14) units.

---------

We have enough to find the perimeter of quadrilateral PQRS. We add up the exterior sides. That means we ignore the interior segment PR.

perimeter = PQ+QR+RS+SP

perimeter = 2*sqrt(14)+5+5+2*sqrt(14)

perimeter = 10+4*sqrt(14)

Answer is choice B

Side note: The expression above approximates to roughly 24.966629

Answer:

-1/√2  

Step-by-step explanation:

According to trigonometry identity

cos(A+B) = cosAcosB - sinA sinB

Given the expression

(cos92°)(cos133°)-(sin92°)(sin133°)

This can be expressed as cos(92+133) where A = 92, B = 133

(cos92°)(cos133°)-(sin92°)(sin133°)

= cos(92+133)

= cos225

= -0.7071

= -1/√2

Hence the exact value is  -1/√2  

Answer:yˆ=−0.175x2−3.786x+121.119

look at picture

Step-by-step explanation:

The quadratic regression equation for the data set is:

y^ = -0.175x²-3.786x+121.119

Quadratic regression is the process of determining the equation of a parabola that best fits a set of data. This set of data is a given set of graph points that make up the shape of a parabola. The equation of the parabola is y = ax² + bx + c, where a can never equal zero.

According to the given problem,

Let us choose any value of x,

x = 10

For this value of x we can see that the respective value of y= 50

Substituting the value of x in the equations to see which equation satisfies the value of y as 50.

Substituting the value of x in the equation:

y^ = -0.175x²-3.786x+121.119

y^ = 50

Hence, we can conclude that y^ = 0.175x² - 3.786 + 121.119 is the quadratic regression equation for the given data set.

Learn more about Quadratic Linear Equations here:

https://brainly.com/question/24639881

#SPJ2

Answer:

508sq. cm

Step-by-step explanation:

surface area of a prism = 2(lw + wh + lh)

For the larger prism

Surface area = 2(2*10 + 2 * 12 * 10*12)

Surface area = 2(20+24+120)

Surface area = 2(164)

Surface area = 328sq.cm

For the smaller prism

Surface area = 2(3*6 + 3 * 8 * 6*8)

Surface area = 2(18+24+48)

Surface area = 2(90)

Surface area = 180 sq.cm

Surface area of the figure = 328 + 180

Surface area of the figure = 508sq. cm

Answer:

Step-by-step explanation:

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

D

×

π

where

D

is the length of the diameter of the circle and

π

≈

3.14

.

Circumference (Perimeter) of Circle Formula: The circumference of a circle is determined by the following formula

C

=

2

×

r

×

π

where

r

is the length of the radius of the circle and

π

≈

3.14

.

Area of Circle Formula: The area of a circle is determined by the following formula

A

=

r

×

r

×

π

=

r

2

×

π

Answer:

1 pizza

Step-by-step explanation:

Of the pizzas recently sold at Pizza Pies, 10 had pepperoni and 2 did not.

This means, the total number of pizzas sold is

10 pepperoni + 2 pizzas without pepperoni = 12 pizzas

Hence, the number of 6 pizzas that would be sold without pepperoni is calculated as:

From the above question,

12 pizzas = 2 pizza without pepperoni

6 pizzas = x

Cross Multiply

12 pizzas × x = 6 Pizzas × 2 pizza without pepperoni

x = 6 Pizzas × 2 pizza without pepperoni/12 pizzas

x = 1 pizza without pepperoni

Therefore, 1 pizza would not have pepperoni out of 6 pizzas sold

Answer:

5

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Area of a rectangle = length x width

length = 8 + 2 = 10

width = 10 + 2 = 12

10 x 12 = 120

Answer:

130 ; 50% ; 25%

Step-by-step explanation:

Using te boxplot to answer the underlying questions :

Number of employees who spend $10 or less corresponds to the lower quartile, which is up to 25% of the distribution :

Total number of employees = 520

Number of employees who spend $10 or less = 25% of 520 = 0.25 * 520 = 130 employees.

Percentage of employees who spend from $10 to $45 = Interquartile range

$10 corresponds to lower quartile = 25%

$45 corresponds to upper quartile = 75%

IQR  = 75% - 25% = 50%

Percentage who spend $45 or more

$45 corresponds to the upper QUARTILE (Q3) :

45 or more = 100% - Q3 = 100% - 75% = 25%

5 liters (L) of 30% bleach solution contains 0.3×(5 L) = 1.5 L of bleach.

3 L of 50% bleach contains 0.5×(3 L) = 1.5 L of bleach, too.

Combined, you would have 8 L of solution containing 1.5 L + 1.5 L = 3 L of bleach, so the concentration of bleach is

(3 L) / (8 L) = 0.375 = 37.5%

Mean- 26.222222222222

Median- 26

Mode- 24

Range- 7

Hope this helped :D

Answer:

criminal. Because it doesnt follow the vertical line test, where every x values has one y value.

Step-by-step explanation:

Answer:$2440

Step-by-step explanation:

a10 = a1 + (n-1)d <--- arithmetic sequence formula

a10 = 1000 + 9(160)

a10 = 2440

Answer: 26 Feet

Hope this helps!

Answer:

the answer is 6

Step-by-step explanation:

slope = m

y = mx + c

m = 6

Step-by-step explanation:

hope it is helpful to you

Answer:

2√21

Step-by-step explanation:

I basically simplify the radical by breaking the radical up into products of the know factors, assuming the real numbers.

Answer:

297.35

Step-by-step explanation:

[tex]\sf\purple{297.35}[/tex] ✅

Step-by-step explanation:

[tex]31.3 \times 9.5 = 297.35[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

25

Step-by-step explanation:

as you can see test a is further away from the ruler you have to put it at 0 so that you can get your answer I am not sure if it's correct or not

Answer:

Step-by-step explanation: