One sheet of paper is 9 x 10 to the power of -3 to cm thick. Mark wants to put 500 sheets of paper into the paper tray of his printer. The paper tray is 4 cm deep. Is the paper tray deep enough for 500 sheets of paper? You must explain your answer. Input note: write down the thickness of the 500 sheets of paper.

Answer:

[tex]27.6^\circ[/tex]

Step-by-step explanation:

Given:

A [tex]\triangle RST[/tex] with [tex]\angle T =90 ^\circ[/tex]

ST = 44 feet

TR = 84 feet

To find:

[tex]\angle R = ?[/tex]

Solution:

Please have a look at the attached figure for clear view of the given dimensions of the right angled triangle.

Here, we can use trigonometric formula to find out the [tex]\angle R[/tex].

We know that formula for tangent of angle [tex]\theta[/tex] is given as:

[tex]tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}[/tex]

Here, Perpendicular for [tex]\angle R[/tex] is side ST and

Base is side TR.

Putting the values in above tangent formula:

[tex]tan R = \dfrac{ST}{TR}\\\Rightarrow tan R = \dfrac{44}{84}\\\Rightarrow tan R = 0.523\\\Rightarrow \angle R = 27.6^\circ[/tex]

Hence, [tex]\angle R = 27.6^\circ[/tex] is the answer.

Answer:

66.1

Step-by-step explanation:

Answer:

Answer (e)

Step-by-step explanation:

Note that this graph has a zero at x = 1 and a vertical asymptote at x = -4.  Only Answer (e) corresponds to that.  Try letting x = 1.  y is zero, correct?  Try letting x = -4.  y is undefined, correct?

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer:

(6, -2)

Step-by-step explanation:

x^2-4x-12=0. 1 from 1x. -4 from -4x

(x - 6)(x + 2) = 0 1 * -12 = -12. -4

x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4

+ 6 +6

x = 6

x + 2 = 0

-2. -2

x = -2

So the answer is -1/4x+3.5, thats the answer ok

Answer:

67.5

Step-by-step explanation:

Answer:

she spent £270.

Step-by-step explanation:

First, let us define what a ratio of 9:6 means.

when you have a ratio such as this, you have to add both ratios first:

9+6 = 15

This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.

Now let us solve the problem

Savings to spending = 9:6

if total amount = m

ratio saved = 9/15 × m

ratio spent = 6/15 × m

Now total amount (m) = £450

∴ ratio saved = 9/15 × 450 = 4050/15 = £270

Therefore she spent £270.

To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180

Answer:

11x

Step-by-step explanation:

(x + 2)(x + 9)

x2 + 9x + 2x + 18

x2 + 11x + 18

This is one possibility :)

Answer:

the answer is d

Step-by-step explanation:

i did whhat the other person said and got it right

Answer:

D

Step-by-step explanation:

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

Answer: Are you in summer school pfft

Step-by-step explanation: I won’t help you cheat

Answer:

83.5%

Step-by-step explanation:

200-33= 167

167/200=x/100

167/2= 83.5

about 83.5%

Plss brainliest

The total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Percentage decrease is the value which is deducted or reduced from the initial value in the percentage part.

The weight of the person is 200 pound. The person's weighs on the  moon is 33.​

The change in the weight of the person is the difference of weight of the person and weight of the person on moon. Thus the change in weight of the person is,

[tex]\Delta W=200-33\\\Delta W=167[/tex]

The change in person's weight is 167 pounds and the original weight of the person is 200 pounds. Thus the percentage change is,

[tex]\Delta W=\dfrac{167}{200}\times100\\\Delta W=83.5\%\\\Delta W\approx84\%[/tex]

Thus, the total weight of the person decrease is 167 pounds and the percentage by which person's weight decrease is 84%.

Learn more about the percentage decrease here;

https://brainly.com/question/11360390

Answer:

A: its 13 cm

B:15cm

Step-by-step explanation:

A: its because its on a slight incline

B:again its on a big incline

Answer:

n = 19/6

Step-by-step explanation:

Formula for C(n,r) = n!/(r!(n-r)!)

C(n,3) = n! /( 3! * (n - 3)!)

Formula for P(n,r) = n!/(n-r)!

P(n,2)= n!/(n-2)!

C(n, 3) = P(n, 2)

n! /( 3! * (n - 3)!) = n!/(n-2)!

[tex]\frac{n!}{3!(n-3)!}= \frac{n!}{(n-2)!}[/tex] cross multiply

n!(n-2)! = n! 3! (n-3)!

(n-3)! = (n-3)(n-2)!

so n!(n-2)! = n! 3! (n-3)! becomes

n!(n-2)! = n! 3! (n-3)(n-2)! divide both sides by n!(n-2)!

1  =6(n-3)

1 =6n -18

19 = 6n

n = 19/6

Answer:

no solution exists:

Step-by-step explanation:

x²−1x+10=0

Step 1: Simplify both sides of the equation.

x²−x+10=0

Step 2: Subtract 10 from both sides.

x²−x+10−10=0−10

x²−x=−10

Step 3: The coefficient of -x is -1. Let b=-1.

Then we need to add (b/2)^2=1/4 to both sides to complete the square.

Add 1/4 to both sides.

x²−x+ 1/4=−10+ 1/4

x²−x+ 1/4=−39 /4

Step 4: Factor left side.

(x  -1/2)² = −39 /4

Step 5: Take square root.

x  −1 /2 =±√ −39 /4

Step 6: Add 1/2 to both sides.

x  =−1/2  + 1/2 = 1/2 ±√ -39/4

x = 1/2 ±√ -39/4

No real solutions.

Answer: 529 possible outcomes

Step-by-step explanation:

You square the number of games as many times as the outcomes (win or loss)

2 outcomes = 23 * 23

23 * 23 = 529

Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.

Answer:

$4/ hour

Step-by-step explanation:

every hour you go you add 4 dollars

example: 1 hour is $2

                2 hours is $6

Answer:

B

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.

[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]

Therefore, the correct answer is choice B. Hope this helps!

Answer:

I believe it is b

Answer:

[tex]\frac{1}{770}[/tex]

Step-by-step explanation:

[tex]\frac{1}{35} *\frac{1}{22} =\frac{1}{770}[/tex]

Answer:

1 / 770.

Step-by-step explanation:

1/35 * 1/22

= 1*1 / 35*22

= 1 / 770.

Answer:

145

Step-by-step explanation:

125+75+150+175+200= 725

725÷5=145

Answer:

145

Step-by-step explanation:

(125+75+150+175+200)÷5

725÷5= 145

Answer:

d. 2.4 in

Step-by-step explanation:

So initially w/o frame the area was 5 x 7 = 35 sq in.

Now we have to add the width of the frame to both dimensions.

(5+w)(7+w) = 69.56 sq in

35 + 7w + 5w + w² = 69.56

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

I use the quadratic formula to solve this (x = -b±√b²-4ac / 2a). I cheat by using a quadratic program on the calculator :,)

w = 2.4

w = -14.4

Since we can't have a negative width, the answer must be w = 2.4 inches.

You can also just plug the answer choices one-by-one into the calculator with guess-and-check because this is multiple choice.

Answer:  d) 2.4 inches

Step-by-step explanation:

Let x represent the width of the frame

Then the area of the frame is:

(x + 5)(x + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

x² + 12x + 35 = 69.56

x² + 12x - 34.56 = 0

Use Quadratic Formula to solve for x:

[tex]x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-12+\sqrt{12^2-4(1)(-34.56)}}{2(1)}\\\\\\x=\dfrac{-12+\sqrt{282.24}}{2}\\\\\\x=\dfrac{-12+16.6}{2}\\\\\\x=\dfrac{4.8}{2}\\\\\\x=\large\boxed{2.4}[/tex]

Answer:

[tex]78.54:314.16[/tex]

Step-by-step explanation:

First circle area with diameter 10 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 5^2[/tex]

[tex]=78.53981[/tex]

Second circle area with diameter 20 inches =

[tex]\pi r^2[/tex]

[tex]\pi \times 10^2[/tex]

[tex]=314.159265[/tex]

[tex]78.53981:314.159265[/tex]

Answer:

78.5 : 314.2

Step-by-step explanation:

Diameter of the first Circle = 10 inches

Diameter of the second Circle = 2(10) [TWICE] = 20 inches

So,

Area of the first circle:

Radius = 5 inches

Area = πr²

A = (3.14)(5)²

A = 78.5 inches²

Area of the second circle:

Radius = 10 inches

Area = πr²

Area = (3.14)(10)²

Area = 314. 2 inches

Now the ratio of the area of smaller circle to the larger circle is

78.5 : 314.2

Answer:

y = x+1

Step-by-step explanation:

draw a table / write down ratios of the values of x and y. Then, you will notice the difference/ similarity

Answer:

y = x + 1

Step-by-step explanation:

equation of the line :

y = my + p  ; m is the slope and p is the y-intercept.

The line cross the —axis at the point (0,1) then

p = 1

the line passes through (0,1) and (1,2) then

m = (2-1)/(1-0) = 1/1 = 1

conclusion:

y = x + 1

Answer:

It will take 2 hours

Step-by-step explanation:

6/3 = 2

Answer:

2 hours

Step-by-step explanation:

3 miles + 3 miles = 6 miles

1 hour + 1 hour = 2 hours

Answer:

A) Constructing a line perpendicular to a point on a line

Answer:

8

Step-by-step explanation:

[tex]sin \: \alpha = \frac{opp}{hyp} \\ sin \: 30 = \frac{4}{x} \\ \frac{1}{2} = \frac{4}{x} \\[/tex]

[tex] x = 4 \times 2 \\ x = 8[/tex]

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

Answer:

Hope this helps.

Step-by-step explanation:

So for ASA, the two triangles have to have two angles congruent, and in the middle of those angles, they have to have a line that's congruent.

For SAS, the two triangles have to have two lines congruent, and in the middle of those lines, they have to have an angle that's congruent.

For AAS, the two triangles have to have two angles congruent, but the line that's congruent has to be on the side, not in the middle.