Mrs. Fuller is trying to organize all of her children's toys into a large toy box. Each toy
has the dimensions of 4 inches x 3 inches x 3 inches. The toy box measures 4 feet x 2
feet x 3 feet. How many toys will be stored in the large toy box?

Answer:

B = 43°

a = 44.7

c = 53.3

Step-by-step explanation:

✔️B = 180° - (90° + 47°) (sum of interior angles of a ∆)

B = 180 - 137

B = 43°

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a

Adjacent = 29

Thus,

tan 47 = a/29

Multiply both sides by 29

29*tan 57 = a

44.7 = a

a = 44.7 (nearest tenth)

✔️Use trigonometric ratio formula to find a:

reference angle = 47°

Opposite = a = 44.7

Hypotenuse = c

Thus,

Sin 47 = 44.7/c

Multiply both sides by c

c*sin 57 = 44.7

Divide both sides by sin 57

c = 44.7/sin 57

c = 53.3 (nearest tenth)

Answer:

3.4

Step-by-step explanation:

Answer:

70 miles / hour

Step-by-step explanation:

d = 175 miles

t = 2.5 hours

r = d/t

r = 175 / 2.5

r = 70 miles / hour

Answer:

Step-by-step explanation:

In a survey of first graders, their mean height was 51.6 inches with a standard deviation of 3.6 inches. Assuming the heights are normally distributed, what height represents the first quartile of these students?

54.03 inches

48.57 inches

48.00 inches

49.17 inches

Step-by-step explanation:

HI tkando45

To write as a polynomial, just multiply every term int he first parenth by every term in the second parentheses.

It is like distributing:

For Example

a2(a-4) - 2a(a-4) + 3(a-4)

a3 - 4a2 - 2a2 + 8a + 3a - 12

Now combine like terms:  

a3 - 6a2 + 11a -12   <----  that is your polynomial

now use the above examples and calculate ur question

Answer:

he has to run another 1/3 of the race for it to equal 6 kilometer all together

Step-by-step explanation:

hope this helps

Answer:

From the length (owo)

Step-by-step explanation:

All you need is to measure your fish tank's length (from side to side), height (from top to bottom of the tank), and depth (from front to back) and you can figure out how much water your aquarium holds! Tank Width: Numbers only, please. The width of an aquarium is the distance across the front.

Answer: look at the picture and you will see the answer

Step-by-step explanation: hope this help

Answer:

100 degrees.

Step-by-step explanation:

The missing angle on the bottom triangle is equal to 80 degrees because a triangle's interior angles add up to 180deg.

Think of that middle angle between angle 1 and the two triangles as a full 360deg. Since VAT (Vertical Angle Theorem) suggests that vertical angles are equal, 160deg of that 360deg are taken up by the missing angles in the triangles. That leaves 200deg to split between angle 1 and its equal vertical angle, which means angle 1 is 1/2 of 200, or 100deg.

Answer:

81

hope this helped :D

Answer:

here you go...........

Answer:

d X v = m

12.993 X 10.49 = 136.29657

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

Answer:

a=250

b=10

done...

Answer:

$2936.79

Explanation:

The Formula for compounding interest:

[tex]F = I(1 + \frac{r}{n})^{nt}[/tex]

F = final amount  (we need to find this)

I = initial amount (900 + 250 + 300 + 1400 = $2850)

r = interest rate  (1% = 0.01)

n = number of times interest applied per time period  (360)

t = number of time periods elapsed (36 months = 3 years)

[tex]F = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

F = 2850(1.030454105)

F = $2936.79

Answer:

He will have a total of $2936.79

Step-by-step explanation:

The total to be invested is the addition: 900+250+300+1400=2850

Now we invest this amount at the specified rate for three years (equivalent to 36 months), and use the compounded interest formula:

[tex]A=P(1+r/n)^{n*t}\\A=2850(1+0.01/360)^{3*360}\\A\approx 2936.79[/tex]

Answer:

-5=25 ------>x= -5

[tex]\frac{x}{5}[/tex]= -5 --------> x=-25

-1.2x=-6 --------> x=5

[tex]\frac{x}{0.5}[/tex] = 50 ---------> x=25

Answer:

5x -10y= -20

5x + 3y = 6

-(5x + 3y=6)

5x-10y=-20

-5x-3y=-6

-10y  -3y = -20 -6

-13y=-26

y= -26/-13

y=2

5x-10(2)=-20

5x-20=-20

5x=-20-20

5x=-40

x= -40/5

x= -8, and y= 2

Answer:

waste

Step-by-step explanation:

Try to think of something that doesn't involve energy and you won't get very far. Even thinking—even thinking about energy!—needs some energy to make it happen. In fact, everything that happens in the world uses energy of one kind or another. But what exactly is energy?

Energy is a bit of a mystery. Most of the time we can't see it, yet it is everywhere around us. Revving car engines burn energy, hot cups of coffee hold energy, street lights that shine at night are using energy, sleeping dogs are using energy too—absolutely everything you can think of is using energy in one way or another. Energy is a magical thing that makes other things happen. Everything in the world is either energy or matter ("stuff" around us) and even matter, when you really get down to it, is a kind of energy!

Answer:

0.9 Its the answer,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

Answer:

0.32 yes mhmmmhmhmhwididididurruuidididi

Answer: y ≤ (2/3)*x + 1/5

Step-by-step explanation:

In the graph, we can see a solid line (this means that the values of the line are part of the solution, then the symbol used will be ≤ or ≥)

Also, we can see that the shaded part (the shaded part is the solution of the inequality) is below the line. This means that y is equal to the values in the line, or smaller than the values in the line. Then we will have something like:

y ≤ a*x +b

The only option that uses this symbol is:

Y < or = to 2/3x + 1/5    (y ≤ (2/3)*x + 1/5)

Then this is the correct option.

Answer:

-(1/2)

Step-by-step explanation:

Slope is the Rise/Run

Going from left to right for (2, -6), (-4,-3):

Rise = (-3 - (-6)) = 3

Run = (-4, -2) = -6

Slope = Rise/Run = 3/-6 = -(1/2)

Answer:

do we answer all of them are just one

Answer:

28⁰ = 1

Step-by-step explanation:

If you raise a number to the power of zero, it becomes 1, regardless of the number.  The only exception is 0⁰, which is undefined.  Any other value to the power of zero equals one.

The easiest way to see it is like this:

Pick any value, we'll call it x

x⁴ = x⁵ / x

x³ = x⁴ / x

x² = x³ / x

x¹ = x² / x

x⁰ = x¹ / x

Because x¹ is equal to x, then x⁰ is just x/x, which is always equal to 1, unless x is equal to zero.

Answer:

280^0 is 1

Step-by-step explanation:

with exponents u have to multiply the base (280) by whatever the exponent is (0), but since the exponent is 0, use multiplicative identity to get 1. any number to ^0 is 1 because its the same as the product on no number at all (0)

its really confusing but i tried my best to explain it lol T-T

Answer:

Step-by-step explanation:

Given

[tex]Badwater = -282ft[/tex]

[tex]Telescope\ Peak = 11043ft[/tex]

The position of badwater is negated because it is below sea level

The interpretation of the question, is to calculate the distance between the two given points.

This is calculated as:

[tex]Difference = Telescope\ Peak - Badwater[/tex]

[tex]Difference = 11043ft - (-282ft)[/tex]

Open bracket

[tex]Difference = 11043ft+282ft[/tex]

[tex]Difference = 11325ft[/tex]

Hence, the distance between both is 11325ft

Answer:

9

Step-by-step explanation:

i took the test