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2 years ago

1. complete the table to show how to solve one-step equations pls help tyty

Mathematics

1 answer:

9966 [12]2 years ago

5 0

Answer:

8 is subtracted from x

The inverse operation is addition

Add 8 to both sides

X=-2 so I think that it is: 10 is added to x

The inverse operation is subtraction

Subtract 10 from both sides

4 is multiplied by x

The inverse operation is division

Divide 4 from both sides

X is divided by 2

The inverse operation is multiplication

Multiply each side by 2

Hope it helps!

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Find the lateral area of the pyramid to the nearest whole number.

son4ous [18]

Answer:

The correct answer is first option. 204 m²

Step-by-step explanation:

Formula:-

Lateral surface area of square pyramid = 4 * area of triangle

<u>To find the slant height of triangle(l)</u>

l = √(6² + 6²) = 6√2

To find the area of triangle

Area = bh/2

b = 12 m

h = 6√2

Area = (12 * 6√2)/2 = 36√2

<u>To find the lateral surface area of Prism</u>

Lateral surface area of square pyramid = 4 * area of triangle

= 36√2 * 4 = 203.64 ≈ 204 m²

First answer is the correct option

7 0

3 years ago

PLEASE GIVE ME A VALID ANSWER IM GIVING ALOT OF POINTS!

seraphim [82]

Answer:

Step-by-step explanation: It is 1/2 of 14 = 7 hours to the moot

And plug in 7 hours to the equation 4*7+14*7=126 divide that by 2 and the distance is 63

3 0

3 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

The graph shows the favorite colors chosen by some middle school students. Which statement is supported by the information in th

Karolina [17]

Answer:

Um you didnt attach a file or anything make one again and ill answer it just attach a screenshot of the problem

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai

Marizza181 [45]

let

r--------> Alvin's average paddling rate in km/hour

y -------> speed of the current in km/hour

we know that

speed= distance/time ------> solve for distance

distance=speed*time

to Campsite against the current

speed=r-y-----> speed=(r-3)

time=8 hours

distance=(r-3)*8------> equation 2

From Campsite with the current

speed=r+y-----> speed=(r+3)

time=3 hours

distance=(r+3)*3------> equation 1

equate equation 1 and equation 2-----> because is the same distance

(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour

therefore

the answer is

Alvin's average paddling rate is 6.6 km/hour

7 0

3 years ago