A wooden box has a square base. The height of this box is 3 times the length of one side of the base. If one side of the base is 3 feet long, what is the volume of this box?

Answer:

[tex]\approx 26.16\:\mathrm{m}[/tex]

Step-by-step explanation:

Let [tex]h[/tex] be the height of the tree. In reference to the tree and bird, a right triangle is formed. We can write the following trig function for that right triangle:

[tex]\tan28^{\circ}=\frac{h}{15},\\h=15\tan28^{\circ},\\h\approx 7.98\:\mathrm{m}[/tex].

Now we can use this to find the hypotenuse of this triangle (the distance between the cat and the bird):

Let the distance between the cat and bird be [tex]k[/tex]. Then,

[tex]7.98^2+15^2=k^2,\\k\approx 16.99\:\mathrm{m}[/tex]. This is one side of the triangle that is formed by the cat, bird, and mouse.

The right triangle formed by the tree, cat, and mouse shares the height [tex]h[/tex] with the other right triangle, as we found earlier. Let [tex]l[/tex] represent the hypotenuse of this triangle or the distance between the cat and mouse. We then have the following trig function:

[tex]\sin 40^{\circ}=\frac{7.98}{l},\\l=\frac{7.98}{\sin40^{\circ}}\approx 12.41\:\mathrm{m}[/tex]. This is another side of the triangle that is formed by the cat, bird, and mouse.

The triangle that is formed by the cat, bird, and mouse has shares an angle of [tex]125^{\circ}[/tex] with the base of the auxiliary pyramid. The other angles, however, are not shared.

Since we have two sides and the angle between these two sides, we can use the Law of Cosines to find the other side (the distance between the mouse and bird). The Law of Cosines is given by:

[tex]m^2=k^2+l^2-2kl\cos M[/tex], where [tex]m[/tex] is the distance between the bird and the mouse and the other variables are defined above.

Plugging in values, we get:

[tex]m^2=16.99^2+12.41^2-2\cdot16.99\cdot12.41\cdot\cos 125^{\circ}[/tex]

Solving, we get:

[tex]m\approx \fbox{$26.16\:\mathrm{m}$}[/tex].

Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

Answer:

Perimeter: 310 units

Step-by-step explanation:

If x=4 and y=5, then the measure of the lengths would be..

8y+19= 8(5)+19= 59

8x+64= 8(4)+64= 96

13y-6= 13(5)-6= 59

16x+32= 16(4)+32= 96

To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59

96=96

To find the perimeter of any shape, we add all the side lengths together

59+59+96+96= 310

Hope I was able to help! Good Luck!

Answer:

Perimeter is 310 unis

Answer:

My pretty sure its 5

(don’t count on it too much, this is my first answer)

Step-by-step explanation:

Answer:

The concession stands needs to sell 14 or more bags.

Step-by-step explanation:

Given that:

Cost per bag of popcorn = $2.50

Number of bags already sold = 30

Cost of 30 bags = 30*2.50 = $75

Bags needs to be sold to make $110 = x

2.50x + 75 ≥ 110

2.50x ≥ 110-75

2.50x ≥ 35

Dividing both sides by 2.50

[tex]\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14[/tex]

Hence,

The concession stands needs to sell 14 or more bags.

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

∴ The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

∴ The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

∵ x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

∴ x = 1125

∴ The 1st prize is $1125

∵ y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

∴ y = 625

∴ The 2nd prize is $625

∵ The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

∴ The total prize money for the competition is $1750

Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question,

Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. If city block is about 0.5 miles (0.8 km), what is her velocity in mi/h and m/s?

Katie runs from her house, East 5 blocks, South 3 blocks, West 5 blocks and North 4 blocks.

Since, velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

Displacement of Katie from initial position = (3 + 3) blocks

                                                                       = 6 blocks

Since, each block measure 0.5 miles,

Displacement = 6 × 0.5

                       = 3 miles

Time taken to cover the distance = 35 minutes ≈ 0.583 hours

Therefore, velocity of Katie = [tex]\frac{3}{0.583}[/tex]

                                              = 5.15 miles per hour towards South

Displacement (in m) = 6 × 0.8

                                   = 4.8 km

                                   ≈ 4800 m

Velocity (in m per hour) = [tex]\frac{4800}{0.583}[/tex]

                                         = 8233.27 m per hour towards South

Answer:

less than

Step-by-step explanation:

you cant add 2x to 12 because of the x.

Answer:

no, more then i think

Step-by-step explanation:

even we don't know what x is x is coud make the number bigger so 14x is bigger then 14

Answer:

Add the 1/3 to look for the r

Step-by-step explanation:

good luck

Answer:

x=7

Step-by-step explanation:

Answer:

emily

Step-by-step explanation:

-95 feet is 6 feet deeper than -89 feet

Answer:

14

Step-by-step explanation:

if you plug in 9 for x in the equation x+5, you get 9+5

9+5=14

Answer:

14

Step-by-step explanation:

If it is x+5 and x=9 it is the as

9+5=14

So it would be 14, you just need to plug in the x

Answer:

i) the length is 10cm

ii) the perimeter is 36 cm

Step-by-step explanation:

i) We know that Area of a rectangle can be found by using the following formula...

A = l x w

(where A is area of the triangle, l is the length of the triangle, and w is the width of the rectangle).

From this we know that

l = A/w

[tex]l = 80cm^{2} / 8cm = 10cm[/tex]

ii) Now that we know both the length and the width we know we can find the perimeter by using the following formula...

P = 2(l + w)

[tex]P = 2(10cm+ 8cm )\\P = 20cm + 16cm\\P = 36cm[/tex]

Answer:

[tex]\frac{29}{110}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 63 placed after the decimal point

let x = 0.2636363.... ( multiply both sides by 10 and 1000 )

10x = 2.6363... → (1)

1000x = 263.6363.... → (2)

Subtracting (1) from (2) eliminates the repeating value, that is

990x = 261 ( divide both sides by 990 )

x = [tex]\frac{261}{990}[/tex] = [tex]\frac{29}{110}[/tex] ← in simplest form

The number n = 0.263 as a fraction is A = 263/999

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the number be represented as n = 0.263

Now , the Let x = 0.263636363 repeating

Multiply both sides by 1000 to move the decimal point to the right:

1000x = 263.636363 repeating

Subtract x from both sides:

999x = 263

Divide both sides by 999:

x = 263/999

Hence , 0.263636363 repeating is equivalent to the fraction 263/999

To learn more about fractions click :

https://brainly.com/question/29766013

#SPJ2

Answer:

1/2

Step-by-step explanation:

Answer:

answer is 64

Step-by-step explanation:

type your equation into the desmos app and you can see the answer

Hope it helps :)

↓Graph Provided Below↓

Answer:

1. x-intercept = 3/-5 = -0.60000

 y-intercept = 3/1 = 3

2. x-intercept = 3/3 = 1

 y-intercept = 3/1 = 3

Step-by-step explanation:

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-5x-3  = 0 and calculate its properties

When y = 0 the value of x is 3/-5 Our line therefore "cuts" the x-axis at x=-0.60000

Answer:

0+2+-4=-2

Step-by-step explanation:

Answer:

1,300 computers

Step-by-step explanation:

As, they are saying they sold 30% of the computers last month

And that 30% was 390

So, x = the total number of computers

30% of x = 390

30% = 30/100 and "of" represents multiplication

So 30/100 X x = 390

We will transpose everything

30x = 39000

x = 39000 ÷ 30 = 1,300

So 1,300 computers were sold

Answer:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Step-by-step explanation:

You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

Let the number of

Small candles = x

Large candles = y

Our system of equations is:

x + y = 28 .......... Equation 1

x = 28 - y

A photo shows a small candle labeled 4 dollars each and a large candle labeled 6 dollars each.

4x + 6y = 144......... Equation 2

Substitute 28 - y for x in Equation 2

4(28 - y) + 6y = 144

112 - 4y + 6y = 144

- 4y + 6y = 144 - 112

2y = 32

y = 32/2

y = 16 candles

x = 28 - y

x = 28 - 16

x = 12 candles

Therefore:

The number of

Small candles = x = 12 candles

Large candles = y = 16 candles

Answer:

288 Cubic Inches

Step-by-step explanation:

Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.

First, do Base x Width x Height for the volume of the box.

10 inches x 3 inches x 1 foot      (1 foot is 12 inches)

10 x 3 x 12 = 360

Now, take 80% of 360 cubic inches.

80% is 0.8 times a number

0.8 x 360 = 288

288 Cubic Inches

Answer:

14

Step-by-step explanation:

3*2+8

=14

Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation:

Answer:

49 r. 3

[tex]3 \div 148 \\ 3 \div 14 = 4 \\ 3 \div 28 = 9 \\ \\[/tex]

the answer is 49 but since three can go into 148 evenly the remainder is 3

Answer:

60

Step-by-step explanation:

15 times 4

Answer: There are 60 chocolates in the candy jar

Answer: your

Pages per hour: 42

Hours per page: 1/42 of a hour

Step-by-step explanation:

14 x 3 = 42

1 hour divided by 42 pages = 1/42 of an hour per page