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2 years ago

Can someone please help me on this ????

Mathematics

1 answer:

defon2 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

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Point K is on line JL. given JL =4x, JK= 2x+3, and KL=x, determine the numerical length of kl

balandron [24]

Hi! I'm happy to help!

Our total line is JL (4x), and it is split into two parts: JK, and KL. We have our values, and we know that JK+KL=JL, so we can substitute our values and solve for x:

4x=(2x+3)+(x)

4x=3x+3

To solve for x, we have to isolate it on one side of the equation.

First, let's subtract 3x from both sides so that we can isolate x:

4x=3x+3

-3x -3x

x=3

<u>So, our x=3, which means that KL=3.</u>

I hope this was helpful, keep learning! :D

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3 years ago

[Supporting Standard: I can find the sum of an infinite series.]

Tanya [424]

Answer:

787.5 is the answer.

Step-by-step explanation:

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2 years ago

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Nookie1986 [14]

What? I don't understand.

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2 years ago

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A cake manufacturer boxes Swiss chocolate and German chocolate cakes at one site. A box of Swiss chocolate cake contains 0.55 lb

Kobotan [32]

Answer:

2,500 German chocolate cake boxes.

1,500 Swiss chocolate cake boxes.

Step-by-step explanation:

Let 'S' be the number of Swiss chocolate cakes boxed and 'G' the number of German cholocate cakes boxed. If all of the available ingredients are used:

$0.55*S +0.59*G = 2,300\\0.45*S+0.41*G = 1,700$

Solving the linear system above:

$(0.55 *S +0.59*G)- \frac{0.55}{0.45} (0.45*S+0.41*G)= 2,300-\frac{0.55}{0.45}*1,700*\\0.088888*G = 222.222\\G=2,500\\S =\frac{2,300-2,500*0.59}{0.55}\\S=1500$

2,500 German chocolate cake boxes and 1,500 Swiss chocolate cake boxes can be made each day.

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3 years ago

An 11 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet from the side of the house. How high is

Mariulka [41]

Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
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b is approximately 9.2

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3 years ago