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Helen [10]
3 years ago
8

30 POINTS, Im pretty hopeless at this point and i know someone is just gonna rob the points thanks anyways

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

\dfrac{ah}{a+h}

Step-by-step explanation:

Consider similar triangles BMC and KMN.

In these triangles,

\dfrac{BC}{KN}=\dfrac{MO}{MP},

where O is the point of intersection of BC and MP.

Note that segment OP has the length the same as the side of the square ABCD. Hence,

\dfrac{BC}{a}=\dfrac{h-BC}{h},\\ \\BC\cdot h=a(h-BC),\\ \\BCh=ah-aBC,\\ \\BC(h+a)=ah,\\ \\BC=\dfrac{ah}{a+h}.

You might be interested in
Find the 39th term of the arithmetic sequence
myrzilka [38]

Answer:

  -142

Step-by-step explanation:

You seem to have an arithmetic sequence with first term -66 and common difference (-68-(-66)) = -2. The general term of such a sequence is given by ...

  an = a1 +d(n -1) . . . . . for first term a1 and common difference d

We want to evaluate this equation for a1 = -66, d = -2, n = 39:

  a39 = -66 -2(39 -1) = -66 -76 = -142

The 39th term is -142.

8 0
3 years ago
2. A book with a green sticker costs $2 less than half the price of a
Damm [24]

For this case we can propose an equation that will allow us to find the price of one of the books knowing the price of the other.

x: Let the variable that represents the price of the book with a green sticker

y: Let the variable that represents the price of the book with a yellow sticker

According to the statement we have:

x = \frac {y} {2} -2\\

y=2(x+2)

Finally, we can substitute the price of one of the books and clear the value of the other as the case may be.

Answer:

x = \frac {y} {2} -2

8 0
3 years ago
Can you help me with this it’s so confusing plz help me with both is this
mars1129 [50]

Answer:

First picture: -4,913

Second picture: 20.25

Step-by-step explanation:

-17^5/-17^2 = -17^3

-17 × -17 × -17 = -4913

4.5^5/4.5^3 = 4.5^2

4.5 × 4.5 = 20.25

Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

Hope this helps! Best of luck :)

5 0
3 years ago
If sin(t) = 3/5 and t is in the 2nd quadrant, find cos(t).
NemiM [27]

Cosine is \frac{hypotenuse}{adjacent}.

Apply the equation:

sin(t) = \frac{3}{5} \\3^2 + b^2 = 5^2\\b^2 = 5^2 - 3^2\\\\\sqrt{b^2}  = \sqrt{5^2}- \sqrt{3^2}\\\\\\b = 5 - 3 \\\\b = 2

B is the adjacent side so

cosine is:

Cos(t) = 5/2

Have a great day,

And I hope this helps you!

5 0
3 years ago
Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to
REY [17]

The purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

The question is incomplete.

The complete question is in the picture, please refer to the picture.

Total number of pieces = 3+5 = 8

So, the purple pieces = 5(5/8) = 35

Total pieces = 20/(5/8) = 4×8 = 32

Thus, the purple pieces are 35 and total pieces is 32 if the Kenzie makes quilts from blue and purple pieces of fabric.

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

3 0
3 years ago
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