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omeli [17]
4 years ago
7

Please help.god bless you all you guys awesome

Mathematics
2 answers:
Nina [5.8K]4 years ago
7 0
Answer: 32

Step 1: Formula

Let’s rewrite the formula for Pythagorean theorem

a²+b²=c²

The c is going to be the hypotenuse, which is the longest angle. This number is 40 in this equation.

We know that we need to solve for b, meaning that a is 24. Let’s substitute these numbers into the equation.

a²+b²=c²

24²+b²=40²

We see that the numbers have a squared sign next to them. Though we can’t square b, we can for 24 and 40. Let’s do this now.

24²+b²=40²

576+b²=1600

We want to get b² in the left side alone. So let’s subtract 576 on both sides.

576+b²=1600
-576 -576
___________
b²= 1024

Now since b is still squared we need to undo that. Let’s do this by finding the square root on both numbers/variables.

b²= 1024

√b²= √1024

Now let’s find the answer to find the final answer for b.

√b²= √1024

b= 32

This is the answer!

Hope this helps comment below for more questions :)
almond37 [142]4 years ago
5 0

Answer:

b = 32

Step-by-step explanation:

If we are talking a² + b² = c² instead of looking for the hypotenuse we look for a leg and it doesnt matter where it is placed.. so for there forth you'll do

24² + b² = 40²

and then from there you square all the numbers so then you get

576 + b² = 1600

then subtract 576 from both sides so you are left with

b² = 1024

and finally square root it

b = 32

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The parabola described by the equation -1/16(x-3)^2 + 4 = y has the directrix at y=8. What is the focus of the parabola?
slamgirl [31]

Answer:

(3, 0)

Step-by-step explanation:

A parabola is the locus of a point such that the distance from a fixed line called directrix and the distance from a fixed point called focus is constant.

The equation of a parabola with a vertex at (h, k) with axis of symmetry parallel to the y axis is given as:

4p(y-k)=(x-h)^2

The directrix is at y = k - p, and focus is at (h, k + p).

Given an equation -1/16(x-3)^2 + 4 = y, expressing it in standard form is:

-\frac{1}{16}(x-3)^2+4=y\\\\(y-4)= -\frac{1}{16}(x-3)^2\\\\-16(y-4)=(x-3)^2\\\\

Comparing with the standard form:

The center = (h, k) = (3, 4)

Also, -16 = 4p

p = -4

Directrix is at y = k - p = 4 - (-4) = 8

Directrix is at y = 8

The focus is at (h, k + p) = (3, 4 + (-4)) = (3, 0)

The focus is at (3, 0)

3 0
3 years ago
Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the property was P, whic
larisa86 [58]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

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So, we need to find the property's current value:

We will use "compound interest ":

Amount=P(1+\dfrac{r}{100})^t\\\\Amount=P(1+\dfrac{275}{100})^1\\\\A=P(1+2.75)\\\\A=3.75P

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4 0
3 years ago
Read 2 more answers
10V
frosja888 [35]

Answer:

either 2 or 1/2, depending on what the original shape was

Step-by-step explanation:

going from small to large it is clearly visible that 3 units of side length turn into 6 units. so, the scaling factor is 2.

going from large to small it is clear that 6 units of side length turn into 3 units. so, the scaling factor is 1/2.

8 0
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