(2/3) ⋅ (5/9)

i just need the answer.

Answer:

55°

Step-by-step explanation:

Using cosine law

67² = 74² + 14² - 2(74)(14)cos(L)

cos(L) = 169/396

L =55.18378419

The measure of angle L to the nearest degree is 55°.

Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,

a² = b² + c² - 2bc cos(A)

Given, for a triangle JKL,

j = 74 inches, k = 14 inches and l = 67 inches.

We can use law of cosines to find the measure of angle L.

Using the law of cosines,

l² = j² + k² - 2jk cos(L)

67² = 74² + 14² - (2×74×14) cos(L)

4489 = 5476 + 196 - 2072 cos(L)

4489 = 5672 - 2072 cos(L)

-1183 = - 2072 cos(L)

cos (L) = 0.5709

L = 55.18° ≈ 55°

Hence the measure of angle L is 55°.

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Answer:

200 minutes

Step-by-step explanation:

In order to find the range, you have to subtract the greatest number to the lowest number. In this case, 400 is the smallest number, and 600 is the greatest number. 600-400 is 200 minutes.

Answer:

84 mm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b *h

The base is 14 and the height is 12

A = 1/2 (14*12)

A = 84 mm ^2

Area of a triangle formula: A = 1/2bh

Solve using the values given in the picture.

A = 1/2(14)(12)

A = 1/2(168)

A = 84

Therefore, the volume of the triangle is 84mm²

Best of Luck!

Answer:

a(n) = 64*(7/4)^(n - 1)

Step-by-step explanation:

Dividing 112 by 64 results in the common ratio 7/4.

Dividing 196 by 112 also results in the ratio 7/4.

So we can safely assume that the common ratio here is 7/4.

The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)

Answer:

1.75

Step-by-step explanation:

1.75 is the value

Answer:

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

Step-by-step explanation:

Step ( i ) :-    

Given the two dice are thrown ,The total number of  exhaustive cases

n(S) =  6² = 36

Let 'E₁' be the event of getting the sum is odd on two dice

E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}

n(E₁) = 18

Let 'E₂' be the event of getting the sum is multiple of 5 on two dice

E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}  

n(E₂) = 7  

n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4

Step(ii):-

The probability that the event of getting the sum is odd on two dice

[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]

The probability that the event of getting the sum is multiple of '5' on two dice

[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]

The probability that the event of getting the sum is odd and multiple of '5' on two dice

[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)

              =    [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

              [tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]

P(E₁∪E₂) = 0.58 = 58%

Final answer:-

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

The probability that the sum is odd or a multiple of 5 is 56 %.

When two dice are rolled, then

Total number of outcomes is [tex]=6^{2}=36[/tex]

Outcomes for  the sum is odd or a multiple of 5 ,

    [tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]

Number of favourable outcomes are [tex]=20[/tex]

the probability that the sum is odd or a multiple of 5 is,

                   [tex]P(E)=\frac{20}{36} =0.56[/tex]

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Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

The height of the Duquesne Incline in Pittsburgh, Pennsylvania, is approximately 400 feet.

To find the height of the incline, we can use trigonometry, specifically the sine function.

Let's consider the triangle formed by the incline track, where:

The angle of elevation (angle between the incline track and the ground) is 30 degrees.

The length of the incline track (base of the triangle) is about 800 feet.

We want to find the height of the incline (the side of the triangle opposite the 30-degree angle).

Using the sine function, we have:

[tex]sin(angle) = opposite\ side / hypotenuse[/tex]

In this case, the angle is 30 degrees, the opposite side is the height (h) of the incline, and the hypotenuse is the length of the incline track (800 feet).

So, the equation becomes:

[tex]sin(30^o) = h / 800[/tex]

h = 800 * 0.5

h = 400 feet

Therefore, the height of the incline is approximately 400 feet.

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Answer: k=1

Step-by-step explanation:

4 - 2k = 2

If it's easier you can also write it like

-2k + 4 =2

Solve for k by isolating it. Move four and then divide the -2.

-2k =2-4

-2k= -2

k= -2/-2

k=1

Answer:

1

Step-by-step explanation:

4-2k=2

When a letter is next to a number that means to mulptiply, so

4-2*1=2

2*1=2 and 4-2=2

Answer:

elon musk

Step-by-step explanation:

elon sends out random, uncalled for tweets, which mess with the stock value.

For example, when the stock was very high, he tweeted,"Tesla stock too high"

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

 £1.40       2.5 kg

----------- = ------------

     c          4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

       (£1.40)(4.25 kg)

c = -------------------------- =  £2.38

             2.5 kg

Answer: The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

$3 in the price of a Fruit bowl at the cafe.

According to the given In the question,

Let,

price of a Salad = Sl

price of a fruit bowl = Fb

Fb price of a sandwich = Sd

Sl + Fb+sd=$12         ..1

2 SI + 2 Sd = $14       ..2

Sl + 3Pb Fb = $14      ..3

from equation 2

Sl = 7 - Sd

from equation 3

7 - Sd + 3Fb = 14

Sd  = 3Fb - 7

from equation 1

14- 3Fb+Fb+ 2(3Fb-7)=12

14- 2 Pb +6Fb-14=12

4Fb = 12

Fb = 3

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Answer:

[tex]20943.96 ft^3[/tex]

Step-by-step explanation:

The silo is shaped as a cylinder with a hemisphere on top of it.

We need to find the volume of the shape.

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of a hemisphere is given as:

[tex]V = \frac{2}{3} \pi r^3[/tex]

where r = radius

Therefore, the joint volume of both shapes is:

[tex]V = \pi r^2h + \frac{2}{3} \pi r^3[/tex]

The height of the silo is 60 and the diameter is 20.

This means that the radius is 10.

The cylindrical part of the silo and the hemispherical part have the same radius, 10.

The volume of the silo is:

[tex]V = \pi * 10^2 * 60 + \frac{2}{3} * \pi * 10^3\\ \\V = 18849.56 + 2094.40\\\\V = 20943.96 ft^3[/tex]

The volume of the silo is [tex]20943.96 ft^3[/tex]

Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

The answer is 75,300,000 hope this helps.

Answer:

Step-by-step explanation:

x-.20x

Lets say the hat cost $100

x=100

multiplying 100 by 20% which is .20 yields $20

S0 $20 is the discount which we subtract from the original price

100-20 and get the sale price of $80

They use a shortcut so you don't have to do the subtracting of the discount

They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount

So in this case the discount percent was 20% = .20

Subtracted from 1

1-.20=.80

Since x is the original price we multiply x by the .80 to get  

.80x

Answer: 0.92

Step-by-step explanation: cos a = side adj / hypotenuse

Cos a = 12/13 ~ 0.92307

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Answer:

5 7/12

Step-by-step explanation:

To get the total amount of nuts used in all, what we do is to add all the fractions together

But we convert them to mixed fraction to make the work easier;

2 3/4 = 11/4

1 2/3 = 5/3

1 1/6 = 7/6

Adding all, we have;

11/4 + 5/3 + 7/6 = (33+ 20 + 14)/12 = 67/12 = 5 7/12

Answer:

4 7/12

Step-by-step explanation:

2 3/4 + (1 2/3 + 1/6) = 2 3/4 + (1 4/6 + 1/6) = 2 3/4 + 1 5/6 = 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12

Hope this helps!!!

Answer:

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70 miles per hour 

Step-by-step explanation:

Let

speed of train B = a

speed of train A = a + 20

Recall

speed = distance/time

The travel time is same for both train. Therefore, let us make time subject of the formula in the speed equation.

Time = distance/speed

270/a + 20 = 210/a

cross multiply

270a = 210(a + 20)

270a = 210a + 4200

270a - 210a = 4200

60a = 4200

divide both sides by 60

a = 4200/60

a = 70

speed of train A = 70 + 20 = 90 miles per hour

speed of train B = 70  miles per hour

Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

No. it's close to 21.

Step-by-step explanation:

There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P

Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Emma jogs 2 miles along the beach in 1/3 of an hour. At a constant rate, the distance that she jogs on 1 hour would be

Let x represent the number of mikes that she would jog in 1 hour.

If 2 miles = 1/3 of an hour, then

x = 1 hour

Cross multiplying, it becomes

x × 1/3 = 2 × 1

x/3 = 2

x = 3 × 2 = 6 miles

The equivalent rate with a denominator of 1 is 6/1 miles

Answer:

The Answer Is 6.  

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Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

Answer:

$165

Step-by-step explanation:

Answer:

156$

Step-by-step explanation:

Answer:

The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.

Step-by-step explanation:

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

Answer: 17/50

Multiply

0.34/1×100=34/100

Simplify

34/100÷2/2=17/50

A fraction which is equivalent to 0.34 is; 17/50

The decimal number, 0.34 can be represented in words as; 34 hundredths.

In essence, mathematically, we have;

17/50 is obtained by factorisation of 2 out of the numerator and denominator.

Hence, a fraction which is equivalent to 0.34 is 17/50.

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Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2