Bob can type 2 letters in 4 hours while bill can do it in six. How many hours will it take them, working together, to type six letters

Answer:

3:2

Step-by-step explanation:

Answer:

C 9:4

Step-by-step explanation:

Answer:

the ladder will be unstable because it is 18.33ft from the bottom of the building

Use this calculator for problems like this

https://www.calculator.net/triangle-calculator.html

The length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.

Pythagorean theorem states that in the right-angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

Given that a 20-foot ladder is placed against a building and must just reach a window that is 8 feet of the level ground the latter will be unstable if the base is more than 15 feet from the bottom of the building.

Calculate the base of the triangle by using the Pythagorean theorem:-

H² = P² + B²

B² = H² - P²

B² = 20² - 8²

B = √( 400  - 64 )

B = √336 = 18.33 feet

Therefore, the length of the base is 18.33 feet greater than 15 feet then the ladder will be unstable.

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Answer:

Step-by-step explanation:

degrees

Answer:  1. y=[tex]\frac{10}{7}[/tex]x +[tex]\frac{8}{7}[/tex]

2. y=-8x+9

3. y=-[tex]\frac{1}{6}[/tex]x-[tex]\frac{1}{3}[/tex]

4. y=-[tex]\frac{4}{3}[/tex]x+3

Step-by-step explanation:

Answer:

224 Trains

Step-by-step explanation:

Im unsure if this is correct but I'll explain how i got the answer.

14/24 trains were full before, and so only 56% of trains were full.

Now we have 400 trains, and assuming that the 400 trains will also be 56% full, you multiply 400 and the decimal form of 56%

400x.56= 224

Answer:

16, 46, 23

Step-by-step explanation:

let the first number be x , then the third number is x + 7 and the second is

2(x + 7) = 2x + 14

Sum the numbers and equate to 85

x + 2x + 14 + x + 7 = 85

4x + 21 = 85 ( subtract 21 from both sides )

4x = 64 ( divide both sides by 4 )

x = 16

x + 7 = 16 + 7 = 23

2(x + 7) = 2(16 + 7) = 2(23) = 46

The numbers are 16, 46, 23

Answer:

(2,2) x should be 2 and y should be 2 too

Answer:

(2, 2 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (2, 2 ) ← solution

Answer:

21cm^2

Step-by-step explanation:

Shaded area=square area- area of circle

Square area=10x10=100

Area of circle=pi r^2

d=2r=10

r=5

Area of circle =5^2pi=25pi=78.54≈79

Shaded area=100-79=21cm^2

Answer:

25

Step-by-step explanation:

Answer: y = 4 = horizontal

2x + 5 = 7 = Vertical

2x - y = 6 = oblique

3y + 9 = 0 = horizontal

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

X= 5i-2, x=5i-2

Step-by-step explanation:

Step-by-step explanation:

[tex] {x}^{2} - 4x + 29 = 0 \\ x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{4± \sqrt{ - 100} }{2} \\ x = \frac{4±10i}{2} \\ x = 2±5i \\ x = 2 + 5i \: \: or \: \: x = 2 - 5i[/tex]

Answer:

1) 2400 sq feet

2) $93.75

3) A (first answer)

Step-by-step explanation:

1) replace the 6 inches with 60 feet and 4 inches with 40 feet. We do this bc 1 inch = 10 feet. Then multiply 60 x 40 to get 2400 sq feet

2) we know that 25% off of 100 is 75. Then to add 25% back to 75 we find 25% of 75. 25% of 75 is 18.75. So we add 18.75 + 75 to get $93.75

3)

hope this helps <3

Answer:

[tex]x=5\sqrt{3}[/tex]

Step-by-step explanation:

Evaluate the Pythagorean Theorem for the triangle.

a² + b² = c²

5² + x² = 10²

25 + x² = 100

Subtract 25 from both sides.

x² = 75

Square root.

x = sqrt(75)

Expand the radical.

x = 5*sqrt(3)

Answer:

7 dollars and 25 cents

Step-by-step explanation:

there is 8 quarts in 2 gallons then divide 58 dollars by 8 and you get 7 dollars 25 cents

Division is one of the four fundamental arithmetic operations. The price per quart is $7.25 per quart.

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that A 2-gallon bucket of paint costs $58.00. Therefore, the price per gallon is,

Price per gallon = $58/2

Since a gallon is equal to 4 quarts. Therefore, the price per quart is,

Price per quart  = $58/(4×2) = $7.25 per quart

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Answer:A

Step-by-step explanation:

Answer:

Solution given:

cosec 60=1/sin60=1/[√3/2]=2/√3 or ⅔√3

Answer:

Probability is calculated as # of favorable outcomes / # of possible outcomes.

Our favorable outcomes are 1, 2, 3, 4, 5.

There are 6 total outcomes.

5/6 = 0.833

Answer:

.667

Step-by-step explanation:

There are 3 possibilities for an odd number. 1,3 and 5

For a number less than four, there are also 3 possibilities, 1,2 and 3 (Since it's not four or less)

Counting the uniquue numbers which are not repeated, you have 1,2,3,5 so the odds are 4/6 of rolling an odd or less than four number.

Since it's asking to round, I assume we need to convert to a decimal.

Decimal: .667

Percentage: 66.667%

Both answers are rounded to the thousandth.

Answer:

10*y>150 = 10

Hope this helps you

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Answer:

10 x y < 150

product = multiplication

less than means that the alligator has to eat the 150

However, if they give you y = 10, then plug it in

10 x (10) < 150

100 < 150

Given:

In triangle ABC, AE is the angle bisector.

[tex]AB=4, BE=2, AC=x, CE=3[/tex]

To find:

The value of x.

Solution:

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side of the triangle into two parts. These two parts are proportional to the other two sides of the triangle.

Using the angle bisector theorem, we get

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CE}[/tex]

[tex]\dfrac{4}{x}=\dfrac{2}{3}[/tex]

On cross multiplication, we get

[tex]4\times 3=2\times x[/tex]

[tex]12=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{12}{2}=x[/tex]

[tex]6=x[/tex]

Therefore, the value of x is 6.

꧁Hello, how are you?꧂

[tex]5y - 1 + 7 \\ + (7 - 1) \\ 6 \\ 5y + 6[/tex]

━━━━━ • ஜ • ❈ • ஜ • ━━━━━

Signed: Lohany Queen of hell 彡★

━━━━━ • ஜ • ❈ • ஜ • ━━━━━

Answer:

the answer is 3.2

Step-by-step explanation:

x≈3.2

Answer:

43,300

Step-by-step explanation:

Starting with 2 since its in the hundredths and going over one place to the tenths, we see 7 is greater than 5 so we make the 2 a 3 and replace everything after with 0's

43,300!!

Answer:

37.5

Step-by-step explanation:

Answer:

k=0

Step-by-step explanation:

k+3=3

k=0

Answer:

k=1/9

Step-by-step explanation:

9(k+3)=27

9k+27=27

9k=27-27

k=1/9.

Hope you got what you wanted!

Answer:

y=-f(x) is a reflection over the x axis of y=f(x) this will make the graph like this down below.

Step-by-step explanation:

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Answer:

200

Step-by-step explanation:

i did the math

Given:

The figure and dimensions of the triangular prism.

The base is an isosceles triangle

To find:

The area of the triangular prism.

Solution:

The area of a triangle is:

[tex]A_1=\dfrac{1}{2}\times base\times height[/tex]

The base of the triangle is 24 cm and the height is 35 cm. So, the area of a triangular base (in sq. cm) is:

[tex]A_1=\dfrac{1}{2}\times 24\times 35[/tex]

[tex]A_1=12\times 35[/tex]

[tex]A_1=420[/tex]

The bases of the triangular prism are same. So, the area of the other triangular base is [tex]A_2=420[/tex] sq. cm.

The sides of the base triangle are 37 cm, 37 cm and 24 cm. So, the perimeter of the base triangle is:

[tex]P=37+37+24[/tex]

[tex]P=98[/tex]

Now, the curved surface area of the prism is:

[tex]A_3=P\times h[/tex]

Where, P is the base perimeter and h is the height of the prism.

The base perimeter of the triangular prism is 98 cm and the height is 48 cm. So, the curved surface area is:

[tex]A_3=98\times 48[/tex]

[tex]A_3=4704[/tex]

Now, the total  area of the triangular prism is:

[tex]A=A_1+A_2+A_3[/tex]

[tex]A=420+420+4704[/tex]

[tex]A=5544[/tex]

Therefore, the area of the given triangular prism is 5544 sq. cm.