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Trava [24]
3 years ago
12

Find the value of z in the isosceles triangle shown below. V20 V20 8

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

<h3>x = 2</h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11
White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for f(x)=x^2-3x-10 from x = 4 to x = 6

The formula used to find average rate of change is:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Where b = 6 and x = 4

Finding f(6):

f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8

Finding f(4):

f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6

Now Putting values:

Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}

Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

  • brainly.com/question/3071107
  • brainly.com/question/6436086
  • brainly.com/question/2485860

#learnwithBrainly

8 0
3 years ago
"eight times the difference of a number and three is sixty-four"?
morpeh [17]

Answer:

the number would be 11

Step-by-step explanation:

8    ·    x - 3       =      64

________                 _          (divide both sides by 8)

8                                 8

x - 3  =   8

+ 3         + 3

x  = 11

(check:

11 - 3 = 8

8 x 8 = 64 )

5 0
1 year ago
Read 2 more answers
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

In this particular problem, n = 4, , A= 9600, P = 5600, r =0.03, so r/n = 0.03/4 = 0.0075

1 + r/n = 1+0.0075 = 1.0075

4t = log(9600/5600)/log(1.0075) = log(1.714) / log(1.0075) = 0.234 /0.00325 = 72

t = 72/4 = 18 years

4 0
2 years ago
Normal Distribution quiz?
Leno4ka [110]
Area under ALL probability distribution curves is 1.0, because all possible outcomes are taken into account.
8 0
3 years ago
which expression is irrational the square root of 2 the square root of 4 the square root of 484 the square root of 529
Marina CMI [18]
If i try i think its the square root of 2 is irrational...
8 0
3 years ago
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