All categories

3 years ago

Triangle abc is a right triangle if side ac=5 and side ab=10 what is the measure of side bc

Mathematics

2 answers:

morpeh [17]3 years ago

7 0

Answer:

Measure of bc is 5√3

Step-by-step explanation:

Given right angled triangle ABC

ac = 5

ab = 10

We know that according to Pythagoras Theorem

Perpendicular² + Base² = Hypotenuse²

then ac² + bc² = ab²

i.e. 5²+ bc² = 10²

25 + bc² =100

subtracting both sides by 25

25 + bc² -25 = 100 -25

bc² = 75

bc =5√3

Thus the measure of side bc is 5√3

Nastasia [14]3 years ago

6 0

You use the pythagoream thereom

10squared = 5squared plus xsquared

square root of (100-25)

the root of 75 would be you answer.

Hope this helps!

You might be interested in

Given f(x)=2/5(6-x)^2 what is the value of f(6)?

bulgar [2K]

Answer:

Step-by-step explanation:

f(x) = 2/5(6 - x)²

f(6) = 2/5[6 - (6)]²

f(6) = 2/5(0)²

f(6) = 0

5 0

3 years ago

I need so much help

Alexxandr [17]

Answer:

19(200+4d)+25(50+5d)

Step-by-step explanation:

To represent this as an expression, we could multiply the amount of each booth by their own equations and expenses. The expression for a food booth is 200+4d, since they charge 200 at the start and add 4 dollars for every day.

The expression for the game booth is 50+5d, since they charge 50 initially and charge 5 for every day.

Now we can just multiply the expressions by their amount and add them together.

19(200+4d)+25(50+5d)

There's your expression!

Hope this helps :D

5 0

4 years ago

Seraph in is comparing the graphs of the parent function y = x^2 and the function y = 6(x − 3)^2 − 8. He makes the following sta

Y_Kistochka [10]

Answer:

A. No; Seraphin's first statement is not correct. Because the a-value is positive, the graph should be stretched horizontally by a factor of 6.

Step-by-step explanation:

5 0

3 years ago

A school wants to have a metal gate placed around it. However they only want to cover three sides of the school and they only ha

Fofino [41]

Answer:

Width = 139.445 ft and Length = 1721.11 ft or

Width = 860.555 ft and Length = 278.89 ft

Step-by-step explanation:

If the school has a rectangular shape, we have that its perimeter and area are:

Perimeter = 2*Length + 2*Width

Area = Length * Width

If we just want to cover 3 sides of the school, we can affirm that:

2000 = Length + 2*Width (eq1)

And the area is 240,000 ft2, so:

240000 = Length * Width (eq2)

From (eq1), we have that:

Length = 2000 - 2*Width

Using this value in (eq2), we have:

240000 = (2000 - 2*Width) * Width

240000 = 2000*Width - 2*Width^2

Width^2 - 1000*Width + 120000 = 0

Using Bhaskara's formula, we have:

Delta = 1000^2 - 120000*4 = 520000

sqrt(Delta) = 721.11

Width1 = (1000 + 721.11)/2 = 860.555 ft

Width2 = (1000 - 721.11)/2 = 139.445 ft

If we use Width = 139.445 ft, we will find Length = 1721.11 ft

If we use Width = 860.555 ft, we will find Length = 278.89 ft

Both pairs of dimensions are valid answers, as they would use 2000 feet of gate and the area of the school would be 240,000 ft2

3 0

3 years ago

Which graph is the result of reflecting f(x) = (8)x across the y-axis and then across the x-axis?

VARVARA [1.3K]

Refrection of a function across the y-axis, changes the sign of x in the function.

Thus, given the function:
$f(x)=(8)^x$
Refrection of the function across the y-axis will result in the function:
$g(x)=(8)^{-x}$

Refrecting a function across the x-axis, changes the sign of the function.

Thus, refrecting the function:
$g(x)=(8)^{-x}$
across the x-axis will result in the function:
$h(x)=-(8)^{-x}$

The graph of $f(x)=(8)^x$ and $h(x)=-(8)^{-x}$ is attached.
The green curve represents the graph of the function $f(x)=(8)^x$ , while the orange curve represents the graph of the function $h(x)=-(8)^{-x}$ .

4 0

3 years ago

Read 2 more answers