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3 years ago

I need help, and I’m also confused.

Mathematics

1 answer:

amid [387]3 years ago

8 0

There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.

It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.

Since the triangles are proportional,
to find the base of the big triangle

base(big)/hypotenuse(big)=base(small)/hypotenuse(small)

Plug in the numbers

x/15=3.5/7
x/15=1/2
x=15/2
x=7.5

The length of the base of the big triangle is 7.5cm

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How to Factor 4p^2+4p-5

Anarel [89]

4p^2 + 4p - 5

As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.

List factors of -20.

-5 * 4

5 * -4

-10 * 2

10 * -2

-20 * 1

20 * -1

None of the factors added together result in positive 4.

Because splitting the middle term is not possible, and we cannot simplify this expression any further:

This expression cannot be fully factored.

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3 years ago

Po's dog weighs 24 and 65 lb Ricky's dog weighs 42 LB how much more does Ricky's dog weigh

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41 lb
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3 years ago

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2 years ago

Read 2 more answers

Use geometric series to find the fraction of 0.8967898989

Sliva [168]

I'm guessing the repeating part is 89 at the end, so that

$x=0.8967\overline89\implies10^4x=8967.\overline{89}$

Then

$10^4x=8967+\displaystyle89\sum_{i=1}^\infty\frac1{100^i}$

$10^4x=8967+89\left(\dfrac1{1-\frac1{100}}-1\right)$

$10^4x=8967+\dfrac{89}{99}$

$x=\dfrac{8967}{10^4}+\dfrac{89}{99\cdot10^4}$

$x=\dfrac{443911}{495000}$

###

An arguably quicker way without using geometric series:

$10^4x=8967.\overline{89}$

$10^6x=896789.\overline{89}$

$10^6x-10^4x=887822$

$x=\dfrac{887822}{10^6-10^4}=\dfrac{443911}{495000}$

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3 years ago

Pleeeeeeeaaaaassssseeeee heeeeeellllllpppppp

loris [4]

I got (-6.28, -0.76).

Step 1.) Write out the problems
-2x=8-6y
-15x=21-6y

Step 2.) Pick a problem and solve for X
-2x=8-6y = x=-4-3y

Step 3.) Plug in the x
(-15)(-4-3y)= 21-6y
60 + 45y= 21-6y

Step 4.) Solve for y
y=-0.76

Step 5.) Plug in the y value into one of the equations
-2x= 8- 6(-0.76)
-2x= 8 + 4.56
x= -6.28

Step 6.) Check your answers
-2(-6.28)=8-6(-0.76)
12.56=12.56

Step 7.) Write it out
(-6.28,-0.76)

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2 years ago