Simplify the radical expression below:
Square root of 80

Answer:

A)

Each landing is about 17 inches.

B)

The vertical rise from Floor 1 to Floor 2 is about 7 feet.

Step-by-step explanation:

Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)

Part A)

So, we want to find the length of [tex]\ell[/tex].

Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.

Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:

[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

Therefore:

[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]

Solve for [tex]\ell[/tex]. Cross-multiply:

[tex]\displaystyle \ell\tan(30.20)=10[/tex]

So:

[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]

The landing space per step is about 17 inches.

Part B)

We know that there are a total of 12 feet of horizontal space total for each landing.

12 feet is equivalent to (12)(12) = 144 inches.

Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.

Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.

Answer:

0.18 ; 0.1875 ; No

Step-by-step explanation:

Let:

Person making the order = P

Other person = O

Gift wrapping = w

P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10

What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?

Using the relation :

P(W|O) = P(WnO) / P(O)

P(WnO) = P(W|O) * P(O)

P(WnO) = 0.60 * 0.3 = 0.18

b. What is the probability that a randomly selected order will be gift wrapped?

P(W) = P(W|O) * P(O) + P(W|P) * P(P)

P(W) = (0.60 * 0.3) + (0.1 * 0.7)

P(W) = 0.18 + 0.07

P(W) = 0.1875

c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically

No.

For independent events the occurrence of A does not impact the occurrence if the other.

Answer:

Because 8x6 gives you the same figure.

Step-by-step explanation:

Answer:

$183

Step-by-step explanation:

He buys 25 calculators for $41 each meaning he spends $1025 in total. He was able to sell 22 calculators for $50 which amounts to $1,100. He then returns and is refunded for the original price of the 3 calculators meaning he gets $123 dollars back but he also has to pay $5 for each calculator he returned which takes away $15 from his profit. $123-$15= $108. ($1,100+$108)-$1025=$183.

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

Answer:

The chart has the steepestt slope

Step-by-step explanation:

The graph has a slope of -3 since it is falling

ANd the table gets you a slope of 1

1>-3

So the table/chart has the steeper slop

Answer:

two

Step-by-step explanation:

Answer:

Because we want to know how many three-fourths there are, we have to make groups of 3 fourths, or divide the number of fourths we have by 3. So there are (2\times 4)\div 3 = 8\div 3 = 2 \frac23 three-fourths in 2.

Step-by-step explanation:

Answer:

Let A be a 3 X 4 matrix. If

b = a1 + a2 + a3 + a4

then what can you conclude about the number of solutions of the linear system Ax=b?

Explain.

The system has infinitely many solutions

Step-by-step explanation:

Since b= a1 + a2 + a3+ a4 if it follows that x= (1,1,1,1)^T is a solution to the equation Ax = b.

Since the matrix contains 3 rows there can be 3 nonzero rows and consequently

3 lead variables at most after we compute the row echelon form of the matrix

At least of the variables is free variables is free variable.

The system has infinitely many solutions

Answer:

39$ for Pete

42$ for Linda

Step-by-step explanation:

Brainliest pls :)

Step-by-step explanation:

diameter is 8•5

radius is d/2

8•5/2

=4•25

surface area = 4πr^2

4×22/7×4•25×4•25

=1589•5/7

=227•1

Volume= 4/3πr^3

4/3×22/7×4•25×4•25×4•25

4/3×22/7×76•76

=321•7

Hope it helps

plz mark as brainliest

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

Answer:

a

Step-by-step explanation:

Answer:

fhbfxchb xf ncvjn cvncb

Step-by-step explanation:

Answer:

n=-3

Step-by-step explanation:

1) subtract 5n from both sides

2) Add 7 to both sides

3) divide both side by 4

Hope this helps

Answer:

62.06%

Step-by-step explanation:

Given that,

CP of an electronic unit = $580

SP of an electronic unit = $940

We need to find the percent markup in the price of each unit. It can be done as follows :

[tex]\%=\dfrac{940-580}{580}\times 100\\\\=62.06\%[/tex]

So, the required answer is 62.06%.

Answer:

At least 11 shelves are needed for all the juice boxes.

Step-by-step explanation:

Given that:

Boxes of orange juice = 32

Boxes of apple juice = 56

Total boxes = 32+56 = 88

As one shelf can hold 8 boxes of juice.

Number of shelves = [tex]\frac{88}{8}[/tex]

Number of shelves = 11

Hence,

At least 11 shelves are needed for all the juice boxes.

Answer:

Step-by-step explanation:

9

Answer:

(9)

Step-by-step explanation:

(D)

Answer:

[tex]11.1\: \mathrm{g}[/tex]

Step-by-step explanation:

Stefanie's mixture of 18 grams has a 20% sugar content. Therefore, there are [tex]18\cdot 0.2=3.6[/tex] grams of sugar in her syrup.

John's mixture of 30 grams has a 25% sugar content. Therefore, there are [tex]30\cdot 0.25=7.5[/tex] grams of sugar in her syrup.

Therefore, if they mix their syrups together, there will be [tex]3.6+7.5=\fbox{11.1}[/tex]grams of sugar.

Answer:

I need this answer ASAP

Step-by-step explanation:

Answer:

88°

Step-by-step explanation:

Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.

Answer:

88

Step-by-step explanation:

Answer:

volume for a rectangular prism is length*width*height

480 = l * w * h (the volume equal to the equation. plug in values you know)

480 = 12 * 10 * h (multiply the right side)

480 = 120h (divide both sides by 120 to isolate the height)

height = 4 feet

height of the bathtub and depth are the same thing, so your answer is 4 feet

Step-by-step explanation:

I hope this helps :))

Answer:

3, 9, 4, 16, 5, 25, 6, 36, 7

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

Since the two triangles are similar, write the following proportion:

[tex]\frac{24}{16}=\frac{15}{2x-6}[/tex]

Cross-multiply and solve:

[tex]24(2x-6)=16\cdot 15,\\48x-144=240,\\48x=384,\\\fbox{$x=8$}[/tex].

Answer:

If I'm doing this right its 6 ways

Step-by-step explanation:

yrg, rgy, gyr, ygr, gry, ryg

I hoped this helped

Answer:

c

Step-by-step explanation:

Answer:

These two corners are [tex]\sqrt{13}[/tex] units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

[tex]D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}[/tex]

These two corners are [tex]\sqrt{13}[/tex] units apart.

Answer:

4 2/15

Step-by-step explanation:

4 x 9 = 36 3 x 5 = 15 5 x 9 = 45

36/45 + 15/45 = 51/45 = 1 6/45

1 + 2 + 1 = 4 + 6/45 = 4 6/45= 4 2/15.

Answer: y= 5x + 3

Step-by-step explanation:

Lol literally so easy when you understand it so:

the formula for slope intercept form is:

y= mx + b

in this case just plug in the values

hope this helps ;)

also can I get brainliest pls?

Answer:

Answer:

1 is the answer as 0.5 +0.5=1

haha help me be brainiest

Answer:

0.5+0.5=1

hahaha

it's so easy