use the table to write a proportion

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:

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]

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.

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.

Answer:

9.45 inches

Step-by-step explanation:

We should make a proportion for this one.

4.2/12=x/27

Now we cross multiply.

12x=113.4

Now we divide both sides by 12.

x=113.4/12

We solve 113.4/12.

x=9.45 inches

꧁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:

200

Step-by-step explanation:

i did the math

Answer:

10*y>150 = 10

Hope this helps you

Please mark as brainliest

Thank You

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

Answer:

100°

Step-by-step explanation:

is 25% of the circle

Answer:

BC = 100°

Step-by-step explanation:

The chord- chord angle BDC is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] ( BC + AE) = 85° ( multiply both sides by 2 to clear the fraction )

BC + AE = 170°

BC + 70° = 170° ( subtract 70° from both sides )

BC = 100°

Answer:

c.9

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.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

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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:

Step-by-step explanation:

how soon do you need the answer

Answer:

Solution given:

cosec 60=1/sin60=1/[√3/2]=2/√3 or ⅔√3

Answer:

3:2

Step-by-step explanation:

Answer:

C 9:4

Step-by-step explanation:

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:A

Step-by-step explanation:

Answer:

Step-by-step explanation:

degrees

Answer:

the answer is second option

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:

quad then hex then oct then non

Step-by-step explanation:

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:

If this helps please mark as brainliest

Answer:

D

Step-by-step explanation:

you find the radius by using the diameter

hence radius = diameter divide by 2 which is 1÷2 which is 0.5

next step the volume of the cylinder is πr^ 2h

22÷7 × 0.5×0.5×8 gives you 6.2857 to 5 significant number

The volume of the​ cylinder will be 6.28 square yards.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The diameter of a cylinder is 1 yd.

The height is 8 yd.

Then the volume of the​ cylinder will be

Volume = (π / 4)d² h

Volume = (π / 4) x 1² x 8

Volume = (π / 4) x 8

Volume = 2π

Volume = 6.28 square yards

More about the cylinder link is given below.

https://brainly.com/question/3692256

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