MATHEMATICS COLLEGE

PLS NEED HELP ASAP RLLY APPRECIATE IT

Answers

Answer 1

Answer:

Answer:

all i know is 8 and 9 might be correspondong angles

Step-by-step explanation:

i wish i wasn't going brain dead

Related Questions

The answer to 48:(4+4)
In the problem 14 = 2 = 7, which number is the divisor?
WILL GIVE BRAINLIEST Patrick decided to start his own business. his business made 35,000 the first year his profits have increased annually by an average of 2.5%a. write and iterative (explicit) rule to model the sequence formed by patricks profits each year. Show your workb. use the rule you wrote to determine what the profits will be after twelve years from the start of his business. round your answer to the nearest dollar. do not round until the end! show all fo your work
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This exercise involves the formula for the area of a circular sector. the area of a sector of a circle with a central angle of 170° is 70 m2. find the radius of the circle. (round your answer to one decimal place.) m

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 4640 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.)

Answers

The dimensions that minimize the cost of building the tank are $r\approx 6.5ft \text{ and } h \approx 26.0ft$ .

Let

$h=\text{the height of the cylindrical sides}\nr=\text{the radius of the hemispheres and the cylindrical sides}$

and

$T=\text{the total cost}\nu_c=\text{the unit cost of building the cylindrical sides}\nu_h=\text{the unit cost of building the hemispherical surfaces}$

and

$S_c=\text{the surface area of the cylinder}\n=2\pi rh\n\nS_h=\text{the total surface area of both hemispheres}\n=4\pi r^2$

Therefore,

$T=u_cSc+u_hSh$

From the question

$u_h=2u_c$

The total cost becomes

$T=u_cSc+2u_cSh\n=2u_c \pi rh+8u_c \pi r^2$

We need to eliminate $h$ . The volume from the question gives a way out

$4640=(4)/(3)\pi r^3 +\pi r^2h\n\nh=(4640)/(\pi r^2)-(4r)/(3)$

substitute into the formula for total cost gives, after simplifying

$T=(16u_c\pi r^2)/(3)+(9280u_c)/(r^2)$

differentiating with respect to $r$ , we get

$(dT)/(dr)=(32)/(3)u_c\pi r-(9280u_c)/(r^2)$

at extrema

$(dT)/(dr)=0\n\n\implies (32)/(3)u_c\pi r=(9280u_c)/(r^2)\n\nr=\sqrt[3]{(870)/(\pi)}\approx 6.5ft$

To confirm that $r$ is a minimum value, carry out the second derivative test

$(d^2T)/(dr^2)=(32u_c\pi)/(3)+(18560)/(r^3)$

substituting $r=\sqrt[3]{(870)/(\pi)}$ , we get that $(d^2T)/(dr^2)$ > $0$ , confirming that minimum value

To find $h$ , recall that

$h=(4640)/(\pi r^2)-(4r)/(3)$

substituting $r$ , we get $h\approx 26.0ft$ as the corresponding minimum height

Therefore, $r\approx 6.5ft \text{ and } h \approx 26.0ft$ minimize the total cost of building the tank.

Learn more about minimizing dimensions to reduce costs here: brainly.com/question/19053049

Final answer:

The problem involves finding the dimensions of a cylinder and two hemispheres that minimize the cost to build an industrial tank of a specific volume. This involves setting up equations for the volume and cost, and then using calculus to find the dimensions that minimize the cost.

Explanation:

This problem can be solved using calculus. Let's denote the radius of both the hemispheres and the cylinder as r and the height of the cylinder as h. The total volume of the solid is the sum of the volume of the cylinder and the two hemispheres. Using the formulas for the volumes of a cylinder and hemisphere, we have:

V = (πr²h) + 2*(2/3πr³) = 4640 cubic feet.

The total cost of the material is proportional to the surface area. The surface area of the two hemispheres is twice as expensive as that of the sides of the cylinder, so we have:

Cost = 2*(2πr²) + πrh.

To minimize the cost, we can take the derivative of the Cost function with respect to r and h, set them equal to zero, and solve for r and h.

This problem involves calculus, the volume of cylinders and spheres, and optimization, which are topics covered in high school mathematics.

Learn more about Mathematics Optimization Problems here:

brainly.com/question/32199704

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What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14

Answers

Answer:

y = 10

Step-by-step explanation:

Simplifying

2.8y + 6 + 0.2y = 5y + -14

Reorder the terms:

6 + 2.8y + 0.2y = 5y + -14

Combine like terms: 2.8y + 0.2y = 3y

6 + 3y = 5y + -14

Reorder the terms:

6 + 3y = -14 + 5y

Solving

6 + 3y = -14 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.

6 + 3y + -5y = -14 + 5y + -5y

Combine like terms: 3y + -5y = -2y

6 + -2y = -14 + 5y + -5y

Combine like terms: 5y + -5y = 0

6 + -2y = -14 + 0

6 + -2y = -14

Add '-6' to each side of the equation.

6 + -6 + -2y = -14 + -6

Combine like terms: 6 + -6 = 0

0 + -2y = -14 + -6

-2y = -14 + -6

Combine like terms: -14 + -6 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

Answer:

y= 11

Step-by-step explanation:

we have:

2.8y + 6 + 0.2y = 5y – 14

or 3y + 6 = 5y -14

and 3y + 6 - 6 = 5y -16 -6

and 3y = 5y -22

and 3y - 5y = -5y +5y -22

so -2y = -22

finally y = -22/-2

or y=11

Hope that useful for you.

Find the size of angle x.

Answers

Answer:

111°

Step-by-step explanation:

By exterior angle theorem:

$x = 82 \degree + 29 \degree \n = 111 \degree$

Answer:

x = 111

Step-by-step explanation:

180- 82 -29 is 69 and 180-69 is x which x is equal to 111

Pls answer the question important

Answers

Step-by-step explanation:

no they are not parallel

Answer:

not equal

Step-by-step explanation:

its not parallel because sum of angles of alternate angle are not equal.

A plant cell has a length of 0.000085 meters. Which is this length written in scientific notation?

Answers

Answer: The answer would be 8.5 times 10^-5

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10 If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

8.5 x 10^-5

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

4. Simplify the following.
3
a. 2-X5-:11
3
x5
5
6
7