Formula for face diagonal?

Answer:

y = 1.5

Step-by-step explanation:

Given y is inversely proportional to [tex]\sqrt{1+x}[/tex] , then the equation relating them is

y = [tex]\frac{k}{\sqrt{1+x} }[/tex] ← k is the constant of variation

To find k use the condition when x = 8, y = 2 , then

2 = [tex]\frac{k}{\sqrt{1+8} }[/tex] = [tex]\frac{k}{\sqrt{9} }[/tex] = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

6 = k

y = [tex]\frac{6}{\sqrt{1+x} }[/tex] ← equation of variation

When x = 15, then

y = [tex]\frac{6}{\sqrt{1+15} }[/tex] = [tex]\frac{6}{\sqrt{16} }[/tex] = [tex]\frac{6}{4}[/tex] = 1.5

Answer:

$308 is the correct answer. Please refer to the attachment. If not able to understand then please let me know, I will resend it wih proper explanation. Hope it helps you. Thanks.

Answer:

-5/4

Step-by-step explanation:

Use the formula lol

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{2}{5}[/tex] , then

∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{2}{5}[/tex] ) ≈ 66.42° ( to the nearest hundredth )

Answer: £2080.00 :)

hope it helps

Answer:

26.3

Step-by-step explanation:

the first guy was close, for those of you who struggle with acellus im here to help haha

Answer:

Step-by-step explanation:

Part A

Since, BDFHJ is a regular pentagon,

Measure of interior angles of this pentagon = [tex]\frac{(n-2)\times 180}{n}[/tex]

= [tex]\frac{(5-2)\times 180}{5}[/tex]

= 108°

Since, ∠ABC ≅ ∠JBD [Vertical angles]

Therefore, m∠ABC = m∠JBD = 108°

Part B

m∠JBD + mCBD = 180° [Linear pair of angles]

108° + m∠CBD = 180°

m∠CBD = 180 - 108

m∠CBD = 72°

Similarly, m∠BDF + m∠CDB = 180°

m∠CDB + 108° = 180°

m∠CDB = 180 - 108

             = 72°

In ΔCBD,

m∠BCD + m∠CDB + m∠DBC = 180°

m∠BCD + 72° + 72° = 180°

m∠BCD = 180° - 144°

              = 36°

Step b is wrong. The slope is the change in y over the change in x.

Step b should be (18- 8)/( 10-6)

= 10/4

= 5/2

Answer:

c, d.

Step-by-step explanation:

c; A vertical stretch by 4 will put the coefficient (in this case 4) in front of your original equation.

d; the negative in front of the whole equation (-4x) will flip the graph across the x-axis.

Answer:

84 inches squared

Step-by-step explanation:

perimeter = 6+7+5+10+15

= 43

Answer:

$3.00 per inch

Step-by-step explanation:

also hope this helps

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

Step-by-step explanation:

(7/5 , 7/5)

Answer:

2y = -3x + 7

Step-by-step explanation:

(3, -1) and (-1, 5)

Slope:

m=(y2-y1)/(x2-x1)

m=(5+1)/(-1-3)

m=6/(-4)

m= -3/2

Slope-intercept:

y - y1 = m(x - x1)

y + 1 = -3/2(x - 3)

y + 1 = -3/2x + 9/2

y = -3/2x + 7/2

Standard form:

y = -3/2x + 7/2

3x + 2y = 7

2y = -3x + 7

Answer:

y= -x+3

Step-by-step explanation:

The slope is -1

The y-intercept is 3 if you count up with rise over run

Put it all together and you get y= -x+3

Answer:

boop

Step-by-step explanation:

Answer:

15-378099

Step-by-step explanation:

wjjcbm car red saw sell cell problem see one the window

Answer:

$20

Step-by-step explanation:

3 pounds of beef is 6 dollars.

6 divided by 3 is 2. Therefore, each pound cost $2.

He wants to buy 10 pounds of beef.

9 pounds would be $18.

Add 1 pound, which is $2 and you will get $20.

Therefore, he would pay $20!~

Hope this helps!~~ <3

Answer:

150+25x = 600

Step-by-step explanation:

Hope this helped!

Answer:

$68000

Step-by-step explanation:

Tax free earning = first 4000

Tax on remaining amount = 25%

Total earning in other to have $20000 net of tax earning :

Net of tax = tax free earning + (25% * remaining amount)

Let remaining amount = x

20000 = 4000 + (0.25 * x)

20000 = 4000 + 0.25x

20000 - 4000 = 0.25x

16000 = 0.25x

x = 16000 / 0.25

x = 64000

Hence,

Total earning should be :

Tax free earning + roaming amount

4000 + 64000

= $68000

Answer:

The first one is TRUE.

You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2

Answer:

i believe the answer is 25.

Step-by-step explanation:

this is because if a=how much money deposited after  t= depositing weekly and 16 is being multiplied by t. that leads me to believe she deposits $16 weekly. therefore, her original deposit was $25.

tell me if this is incorrect.

Answer:

25

Step-by-step explanation:

In this equation, the original deposit was 25 dollars. The equation shows how much total money was in the account every week. It is written in slope-intercept form, which is y=mx+b, where m is the slope (how much the account is increasing each week) and b is the y-intercept (what was in the account after 0 weeks). This means 25 dollars must be the initial deposit because it is the total before any new weekly deposits.

Answer:

2

Step-by-step explanation:

[tex]\begin{cases} -3x -3\:\: for\:\: x<-2\\\\6x -28\: \: for\:\: x\geq 5  \end{cases}[/tex]

f(5) will fall in the interval x≥5 and its corresponding function is:  

    f(x) = 6x - 28

∴ f(5)= 6*5 - 28 = 30 - 28 = 2

Answer:

168 ft

Step-by-step explanation:

Formula = Length x height x width

14x6x2= 168

Im 100% sure this is right. Pls mark me as brainliest!

:))

Answer:

168

Step-by-step explanation:

V = 14 x 6 x 2 = 168

Answer:

the mean is 3.95

median is 2.75

Step-by-step explanation:

I'd say that the mean is the better center, because you need to even it all out. you have one big number compared the rest.

The median is a better center for this data since since that number is the common size of acres not the highest or lowest acre per 1000 residents

Answer:

-5

Step-by-step explanation:

this is a y = mx + b equation. m is slope.

Answer:

-5

Step-by-step explanation:

When a linear function is in the form y=mx+b then m represents the slope of the line.

Answer:

2

Step-by-step explanation:

2(2)+3=7

5(2)-3=7

Answer:

2

Step-by-step explanation:

2 multiplied by 2 is 4+3=7 and 5x2=10-3=7

Answer:

I think it would be C. 9/13.

Answer:

B

Step-by-step explanation:

11/26 x 7/26 = 77/676

Answer:

45 degrees

Step-by-step explanation:

Before we start, it is important to know that the sum of all angles of a triangle adds up to 180. Since one of the angle measure is already given to us, 90, we can subtract this from 180.

180-90=90

This tells us that the two remaining angles will add together to equal 90. In addition, it also tells us that the two remaining angles are equal. This means we can divide 90 by 2, and it leaves us that x= 45 degrees.

Answer:

-8 can be added to 2 to give us -6

Step-by-step explanation:

hopefully this helps :)