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4 years ago

Use Pythagorean theorem to solve the following problems.

1 answer:

4 0

The Pythagorean theorem tells you that for legs a and b, and hypotenuse c this relationship holds:
c² = a² + b²

It can be useful to make a couple of rearrangements of this relation.
c = √(a² +b²)
a = √(c² -b²)

1. c = √(10² + 8²) = √164 = 2√41

2. a = √(26² - 10²) = √576 = 24

_____
It doesn't matter which leg you call "a" and which one you call "b", unless they are specifically marked on the triangle. Then use the marks you are given.

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Julia is five years older than her sister Babs, and their ages add up to 31. How old is Babs?

Tresset [83]

Julia is X+5

x+x+5=31

Now we just solve the equation

2x=31-5
x=26/2
x=13 years old (Babs' age)

and we know that julia is 5 years older this gives us the conclusion that.

13+18=31

4 0

3 years ago

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HELP ME PLEASE!!!! ΔAXY ~ ΔABC. What is the value of BC

emmasim [6.3K]

Answer:

BC = 28 $\frac{1}{3}$ ft

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AX}{AB}$ = $\frac{XY}{BC}$ , substitute values

$\frac{12}{20}$ = $\frac{17}{BC}$ ( cross- multiply )

12BC = 340 ( divide both sides by 12 )

BC = $\frac{340}{12}$ = $\frac{85}{3}$ = 28 $\frac{1}{3}$

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3 years ago

ON A BUS ROUTE, THREE NEW PEOPLE GET ON THE BUS AT EACH STOP AFTER THE FIRST ONE. AT THE FIRST STOP SEVEN PEOPLE GET ON THE BUS.

Mumz [18]

7,3...

since we don't know how many stops after there are we will assume it just continues on and put three dots. (...)

Please rate and thank if I helped and tag me if you need help again!

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4 years ago

A credit card balance is $452.18. Find the new balance after these things happen: two items costing $26.45 and $15.90 are return

r-ruslan [8.4K]

Answer:

the anwser is 232.33

Step-by-step explanation:

i added all of the things that happened and then toke that number and subtracted that from the main number.

hope this helps

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4 years ago

How does the graph of y = sec(x + 3) – 7 compare with the graph of y = sec(x)?

Alla [95]

Answer:

The function y = sec(x) shifted 3 units left and 7 units down .

Step-by-step explanation:

Given the function: y = sec(x)

If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.

If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.

The function $y = \sec(x+3)-7$ comes from the base function y= sec(x).

Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.

Therefore, the transformation on the given function is shifted 3 units left and 7 units down

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3 years ago

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