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3241004551 [841]

1 year ago

9

A carpenter wants to make sure that the corner of a triangular frame he is building is a right angle. If he measures two sides o

f his frame as 5 feet and 12 feet, how long should he make the diagonal?

1 answer:

Mama L [17]1 year ago

6 0

13 feet
Pythagorus is used
25 + 144 = 169
169 is 13 to the second power etc

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Which of the following is the linear parent function?A.F(x) = 2xB.F(x) = |x|C.F(x) = x2D.F(x) = x

Daniel [21]

The linear parent function is f(x)=x

7 0

3 years ago

A tank containing 35 gallons of water is leaking at a rat 1/4 gallon per minute. Write and expression to determine the number of

MrRissso [65]

Answer:

The expression 35 - m is used to determine the number of gallons left in the tank after m minutes.Solution:Given that a tank containing 35 gallons of water is leaking at a rate of gallon per minute. Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water

Number of gallons of water left = 35 gallons – number of minutes spent rate of leakage.

Number of gallons of water left = 35 gallons – m minutes 1 gallons per minute Hence, the required expression is 35 – m

5 0

3 years ago

Expres each of the folowing as a single matrix.

Elden [556K]

Answer:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

Step-by-step explanation:

If you have two matrices:

$A=\left[\begin{array}{cc}a&b\\c&d\end{array}\right]\\and\\B=\left[\begin{array}{cc}e&f\\g&h\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\end{array}\right]$

We have:

$A=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]\\and\\B=\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]$

And we need to express as a single matrix:

$A+B=\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6+(-2)&-3+8\\10+3&-1+(-12)\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}6-2&5\\13&-1-12\end{array}\right]\\\\\\A+B=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

The answer is:

$\left[\begin{array}{cc}6&-3\\10&-1\end{array}\right]+\left[\begin{array}{cc}-2&8\\3&-12\end{array}\right]=\left[\begin{array}{cc}4&5\\13&-13\end{array}\right]$

It is expressed as a single matrix.

8 0

2 years ago

PLEASE HELP ME WITH THESE FOUR QUESTIONS TYSMMM!!! THANK YOU

Dima020 [189]

Answer:

$107^\circ, 133^\circ, 20^\circ, \text{and}, 23^\circ$

Step-by-step explanation:

9. For the lines 'm' and 'n' to be parallel the sum of interior angles should be 180 degrees that is:

$x+73^\circ=180^\circ$

$x=107^\circ$

10. For the lines 'm' and 'n' to be parallel the alternate exterior angles should be equal that is:

$147^\circ=x+14^\circ$

$x=147^\circ-14^\circ$

$x=133^\circ$

11. For the lines 'm' and 'n' to be parallel alternate angles should be equal that is:

$180^\circ-3x=2x+20^\circ$

Solving for 'x' we get:

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$5x=160^\circ$

$x=32^\circ$

12. For the lines 'm' and 'n' to be parallel corresponding angles should be equal that is:

$(7x-11)^\circ=(4x+58)^\circ$

$7x-4x=58^\circ+11^\circ$

$3x=69^\circ$

$x=\frac{69}{3}=23^\circ$

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3 years ago

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