Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is 60°. What is the length of the third side of the
triangle?
A. 13
B. 4,13
C. 3
D. 13

The distance of Saturn from the sun is 9.5 astronomical units.

Orbital period p of a planet and the planet’s distance from the sun, a in astronomical units are related by:

[tex]p = a^{3/2}[/tex]

The orbital period is the time a given astronomical object takes to complete one orbit around the sun.

Given that Saturn's orbital period is 29.5 years.

So, [tex]29.5 = a^{3/2}[/tex]

[tex]a = 29.5^{2/3}[/tex]

a = 9.5 au

Therefore, the distance of Saturn from the sun is 9.5 astronomical units.

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Answer:

b and e

Step-by-step explanation:

trust '

Answer:

No solution

Step-by-step explanation:

x = 2 + x - 2

x - x = 2 - 2

0 = 0

=》x has no solution.

________

Hope it helps ⚜

Take 2 points

Slope:-

[tex]\\ \sf\longmapsto \dfrac{-2}{7}=\dfrac{-2}{7}=m[/tex]

Now find equation of line in point slope form

[tex]\\ \sf\longmapsto y=-2/7(x+7)[/tex]

[tex]\\ \sf\longmapsto y=-2/7x-2[/tex]

Put (0,0)

[tex]\\ \tt\Rrightarrow 0=0-2[/tex]

[tex]\\ \tt\Rrightarrow 0\neq -2[/tex]

shaded region is away from origin .

So the inequality is

[tex]\\ \sf\longmapsto y\leqslant -2/7x-2[/tex]

Answer:

Take 2 points

(-7,0)

(0,-2)

Slope:-

Now find equation of line in point slope form

Put (0,0)

shaded region is away from origin .

So the inequality is

this answer is correct i got it right when i used it.

Answer:

The value  is  [tex]E(X) =  \$ 1.7067 [/tex]

Step-by-step explanation:

From the question we are told that

   The  parameters  are  α = 3, θ = 0.5

    The cost of making a unit on the first day  is  c = $2

    The selling price of a  unit on the first day is  s = $5

    The selling price of a leftover unit on the second day is  v  = $ 1

Generally the profit of a unit on the first day is

        [tex]p_1 = 5 - 2[/tex]

           [tex]p_1 = \$3 [/tex]

The profit of a unit on the second day is

       [tex]p_2 = 1 - 2[/tex]

=>     [tex]p_2 = - \$1 [/tex]

Generally the probability of making profit greater than $ 1 is mathematically represented as

    [tex]P(X >  1 ) = Gamma (X ,\alpha , \theta)[/tex]

=>   [tex]P(X >  1 ) = Gamma (1 ,3 , 0.5)[/tex]

Now from the gamma distribution table  we have that

    [tex]P(X >  1 ) =  0.67668[/tex]

Generally the probability of making profit less than or  equal to  $ 1 is mathematically represented as

       [tex] P(X \le  1 ) = 1 - P(X >  1 )[/tex]

=>     [tex] P(X \le  1 ) = 1 - 0.67668[/tex]

=>     [tex] P(X \le  1 ) = 0.32332[/tex]    

So  the probability of making  $3  is    [tex]P(X >  1 ) =  0.67668[/tex]

and  the probability of making  -$1  is   [tex] P(X \le  1 ) = 0.32332[/tex]  

Generally the value of profit per day is mathematically represented as

      [tex]E(X) =  3 *  P(X >  1 )   +   (-1  *  P(X \le 1 ) )[/tex]

=>     [tex]E(X) =  3 * 0.67668   +   (-1  *  0.32332 )[/tex]

=>     [tex]E(X) =  \$ 1.7067 [/tex]

Answer

Step-by-step explanation:

the answer is supplementary because congruent are slant angles

Answer:

(all in index form)

1. 2 x 5 x 3^2

2. 2^2 x 3^4

3. 2^2 x 3 x 11

Step-by-step explanation:

90 = 2, 45 - 5, 9 - 3, 3

324 = 2, 162 - 2, 81 - 9, 9 = 3, 3, 3, 3

132 = 2, 66 - 2, 33 - 3, 11

Answer:

1. 2x3x3x5 or 2 x 3^2 x 5

2. 2^2 x 3^4 or 22x34

3. 2x2x3x11 or 11x12 or 11 2^2x3

Good luck!

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

4/5 = 0.8

0.8 is greater than 0.56

Answer:

Solving steps:

Question: jasmine has all nickels x and dimes y in her coin jar. if she has 36 coins in all, and four more dimes than. nickels find how much money she has in her coin jar

Find: how much money she has in her coin jar

Solution: let's make an equation for this problem

She has 4 more dimes than nikels:y= x+4 Let's use this value for y in the next equation:

she has 18 nickels and 36-18= 18 dimes

The required Jasmine has 16 nickles and 20 dimes which constitute  $2.80 in her coin jar.

Let's use the given information to set up a system of equations to solve for the number of nickels (x) and dimes (y) in Jasmine's coin jar.

We are given that Jasmine has a total of 36 coins in her jar, so we have the equation:

x + y = 36 -- Equation 1

We are also given that Jasmine has four more dimes than nickels, which can be expressed as:

y = x + 4 -- Equation 2

Now, let's solve this system of equations. We can substitute Equation 2 into Equation 1 to eliminate y:

x + (x + 4) = 36

2x = 36 - 4

x = 16

Now that we have the value of x, we can substitute it back into Equation 2 to find y:

y = x + 4

y = 16 + 4

y = 20

Therefore, Jasmine has 16 nickels (x) and 20 dimes (y) in her coin jar.

To find the total amount of money she has, we need to calculate the value of the nickels and dimes separately:

Value of nickels = 0.05 * 16 = $0.80

Value of dimes = 0.10 * 20 = $2.00

The total amount of money in her coin jar is:

$0.80 + $2.00 = $2.80

Jasmine has $2.80 in her coin jar.

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Answer: 18 hours (Plz mark me brainlest)

Step-by-step explanation:

we know that

Amy's dad drove the car at a constant speed and travel 585 miles in 13 hours

so

using proportion

Find out how long would it have taken the family to travel 810 miles

Let

x -----> the time in hours to travel 810 miles

Answer:

18 hours; rate of speed 45 miles per hour

Step-by-step explanation:

585 miles/13 hours= 45 miles per hour

810 miles/45 miles per hour = 18 hours

Answer:

Lisa's mother and sister each pay towards car payment is $250 each.

The key used is "Evenly"

Step-by-step explanation:

Lisa owes $500 for a car payment.

Her mother and sister would be willing to split the car payment Evenly and pay it for her.

So, they each pay towards the payment = [tex]\frac{500}{2}[/tex] =250

So, each pay $250.

Here the key helped is "Evenly" to solve this problem. Evenly means they  split the amount equally.

Answer: 75%

Step-by-step explanation:

Part =  52,500,000

Whole = 70,000,000

[tex]\frac{52,500,000}{70,000,000} =\frac{x}{100} \\[/tex]

Solve for x.

[tex]x=\frac{52,500,000*100}{70,000,000}[/tex]

[tex]x=\frac{5,250,000,000}{70,000,000}[/tex]

[tex]x=75[/tex]

Answer:

18

Step-by-step explanation:

-2 · -9 = 18

The two negatives cancel each other out.

It is the same as multiplying 2 · 9 = 18

Hope I helped :)

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Answer:

subtract 9 from negative 2 and you will get -11 i hope this was what you were looking for

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be the unknown the number

x

x/4

x/4-3

hope this helps

Answer:

x/4 - 3

Step-by-step explanation:

The question tells us to use x for unknowns. Let's do that:

x

then we divide by 4:

x/4

and finally subtract 3:

x/4 - 3

That's it!

I hope this helps :)

Answer:

x=24cm

y=20,78cm

Step-by-step explanation:

sen(30)=[tex]\frac{12}{x}[/tex]  ->  x*sen(30)=12 -> x=[tex]\frac{12}{sen(30)}[/tex]= 24cm

cos(30)=y/x -> cos(30)= y/24 -> y=24*cos(30)= 20,78cm

Answer:

c

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

From the given set of numbers we have to arrange them in the increasing order.

{[tex]\sqrt{72},9.25,\sqrt{83},\pi^2,8.7[/tex]}

Since, [tex]\sqrt{72}=8.49[/tex]

[tex]\sqrt{83}=9.11[/tex]

[tex]\pi ^2[/tex] = 9.87

Therefore, set of numbers will be in the form of,

{8.49, 9.25, 9.11, 9.87, 8.7}

Now arranging these numbers in the increasing order,

8.49 < 8.7 < 9.11 < 9.25 < 9.87

Therefore, numbers in the increasing order will be,

{[tex]\sqrt{72},8.7,\sqrt{83},9.25,\pi ^{2}[/tex]}

Option (2) will be the answer.

Answer:

y=3x-3

Step-by-step explanation:

since the line must pass through (0,-3), you must have the second number (or y intercept) in the equation be -3. since the slope must be 3 then it will be shown as 3x. put it all together to get y=3x-3. not sure what the -1 is doing there but y=3x-3 passes through (0,-3)

Answer:

First option

Step-by-step explanation:

Given the following question:

[tex]\frac{2}{3} y=\frac{1}{4}[/tex]

To find the answer we need to isolate the variable, in order to do that we need to use inverse of operations on this problem.

[tex]\frac{2}{3} y=\frac{1}{4}[/tex]
[tex]3\times\frac{2}{3} =2[/tex]
[tex]\frac{1\times3}{4} =\frac{3}{4}[/tex]
[tex]\frac{2y}{2} =y[/tex]
[tex]\frac{3}{4} \div2=\frac{3}{8}[/tex]
[tex]y=\frac{3}{8}[/tex]

Your answer is "y = 3/8" or the first option.

Hope this helps.

Answer:

He got one wrong.

Step-by-step explanation:

I did the same thing recently.

Answer:

34

Step-by-step explanation:

Answer:

factor = x^3-5x+3

Step-by-step explanation:

you need to use long division to solve it.

The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]

Data;

Solving the function above by substitution method, we just need to substitute the values where required and solve.

[tex]f(x) = g(x)[/tex]

Substituting the value,

[tex]x^2 - 7x + 13 = x - 2\\x^2 -7x - x + 13 + 2 = 0\\x^2 -8x + 15 = 0[/tex]

The value of the function f(x) = g(x) is [tex]x^2 -8x + 15 = 0[/tex]

Learn more on functions here;

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Answer:

x=2

Step-by-step explanation:

move the 7 with the 3, now is 7+3=10

5x=10

the five cancel with the five, simplify 10 with 5 and is 2

Step-by-step explanation:

We know that revenue= production=break even point

given that the expression for cost of production is

z=120+4x---------------1 cost of production

where x is the number of items produced

also the selling price per item is $5

The revenue generated from the production of x items is(let the revenue be y)

y=5x------------2 revenue equation

break-even is when y=z

120+4x=5x

solving for x we have

120=5x-4x

120=x

x=120items

Answer:  i feel that the coorect answer is b

Answer:

<4 ~= <6 - Alternate Interior Angles Theorem

<4 ~= <2 - Vertical Angles Theorem

<6 ~= <2 - Corresponding Angles Theorem

line I || line m - Transitive Property