All categories

4 years ago

Find the values of x in the isosceles triangle

Mathematics

1 answer:

Wewaii [24]4 years ago

4 0

Answer:

x = sqrt(55)

x = 7.416198487

Step-by-step explanation:

We can use the Pythagorean theorem

The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8

a^2 + b^2 = c^2

3^2 + x^2 = 8^2

9 + x^2 = 64

Subtract 9 from each side

9-9 +x^2 = 64-9

x^2 = 56

Take the square root of each side

sqrt(x^2) = sqrt(55)

x = sqrt(55)

x = 7.416198487

You might be interested in

Find area of circle

Gre4nikov [31]

Answer and Step-by-step explanation:

Plug in 4 for r, since 4 is half of 8, and 8 is the diameter, and the radius is half of the diameter.

We get the answer to be $16\pi$ , or 50.2655.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

7 0

3 years ago

Read 2 more answers

2*log(y+5)=log 20-log 5

Ilia_Sergeevich [38]

Answer:

$y = - 3$

Step-by-step explanation:

$\frac{2 log_{10}(y + 5) }{2} = \frac{ log_{10}(20) }{2} - \frac{ log_{10}(5) }{2}$

$log_{10}(y + 5) = \frac{ log_{10}(20) }{2} - \frac{ log_{10}(5) }{2}$

$y + 5 = 2 \\ y = - 3$

7 0

3 years ago

Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?

GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working $6 \frac{1}{4}$ hours.

i.e

Rachel earned $85.25 for working $\frac{25}{4}$ hours.

Now calculate earning of Rachel for 1 hour .

$Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}$

$Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}$

$Rachel\ earning\ for\ one\ hour = \frac{341}{25}$

$Rachel\ earning\ for\ one\ hour = \$ 13.64$

Therefore Rachel earns per hour is $ 13.64 .

7 0

3 years ago

Read 2 more answers

Which of the following is the measure of an acute angle? O A. 112° O B. 90° O C. 78° O D. 182

Ganezh [65]

Answer:

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

7 0

3 years ago

Read 2 more answers

How do you do this? Please give explanation

Komok [63]

Answer:

2, 1, 3, 4, 6, 5

Step-by-step explanation:

The rate of change of function f(x) on an interval [a, b] is defined as ...

average rate of change = (f(b) -f(a))/(b -a)

For the function h(x) = 2^-x, this will be ...

arc = (h(b) -h(a))/(b -a) = (2^-b -2^-a)/(b-a) = (2^-a)(2^(a-b) -1)/(b -a)

1. For the interval [0, 2], the average rate of change is ...

arc = (2^-0)(2^(0-2) -1)(2 -0) = (1/4 -1)/2 = -3/8 = -0.375

1 goes in the 2nd answer blank

2-6. For the other intervals, it is convenient to let a calculator or spreadsheet compute the values. The average rates of change are shown in the attachment.

8 0

2 years ago