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2 years ago

I need help I can’t figure this out

Mathematics

1 answer:

adelina 88 [10]2 years ago

5 0

Answer:

12.04 = BC

Step-by-step explanation:

A tangent intersects at 90 degrees

We know AB and AC

We can use the Pythagorean theorem

a^2 + b^2 = c^2

AC^2 + AB^2 = BC^2

8^2 + 9^2 = BC^2

64+ 81 = BC^2

145 = BC^2

Take the square root of each side

sqrt(145) = BC^2

12.0415945 BC

To the nearest hundredth

12.04 = BC

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Use the properties of logarithms to prove log, 1000 = log2 10.

Leto [7]

Given:

Consider the equation is:

$\log_81000=\log_210$

To prove:

$\log_81000=\log_210$ by using the properties of logarithms.

Solution:

We have,

$\log_81000=\log_210$

Taking left hand side (LHS), we get

$LHS=\log_81000$

$LHS=\dfrac{\log 1000}{\log 8}$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=\dfrac{\log (10)^3}{\log 2^3}$

$LHS=\dfrac{3\log 10}{3\log 2}$ $[\because \log x^n=n\log x]$

$LHS=\dfrac{\log 10}{\log 2}$

$LHS=\log_210$ $\left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]$

$LHS=RHS$

Hence proved.

6 0

2 years ago

HELP MATH QUESTION GEOMETRY

schepotkina [342]

Angle COD equals angle AJL

Angle DCO equals Angle LAJ

Side OC equals side JA is all true expect for the first one

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2 years ago

Solve the system of equations by the addition method <br> { 5x-y=-3<br> { 4x+3y=-48

Svetach [21]

Answer:

(-3,-12)

Step-by-step explanation:

Multiply the first equation by three to match the second equations y-term

3(5x-y=-3)
4x+3y=-48

15x-3y=-9
4x+3y=-48

The y-terms cancel out

15x=-9
4x=-48

Add the x-terms with each other and the terms after the equal sign as well

19x=-57

Divide -57 by 19

x=-3

Input your x-term (-3) into one of the two first equations and multiply

Either:

5(-3)-y=-3 or

4(-3)+3y=-48

-15-y=-3 or

-12+3y=-48

Simplify your terms

-y=12

3y=-36

Divide

y=-12

y=-12

4 0

2 years ago

I need to find the Missing length again

GREYUIT [131]

15-7 is 8! so 8 is the length of the side with the ?

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2 years ago

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I need help right now. report cards are coming in soon and i need to get my grades up

saul85 [17]

Answer:

x = 10

Step-by-step explanation:

3x - 5 = 2x + 5

3x - 5 + 5 = 2x + 5 + 5

3x = 2x + 10

3x - 2x = 2x - 2x + 10

1x = 10

x = 10

4 0

2 years ago

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