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2 years ago

13

Carlos is making a wood picture frame. the picture frame is 11 inches by 14 inches. after nailing the frame together, Carlos mea

sures the diagonal. if the diagonal is 19 inches long, does the frame have 90 degree corners? explain.

1 answer:

alexira [117]2 years ago

8 0

Answer:
Hope that helps! Have a good day :)

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Suppose you are running a racing tournament with 12 horses. All eligible horses run in the race at once, and after the first rac

borishaifa [10]

Answer:

a) 66

b) 45

Step-by-step explanation:

We have 12 horses and after the first race 2 of them have to be eliminated

that condition is equal to consider that 10 horses will be available for the second race.

The number of possiblities we have for the first race is the combination of 12 horses in group of 10

C¹²₁₀ = 12!/ (2!)* (12-2)! = 12*11/2 = 66

For the second race

C¹⁰₈ = 10! / 8! * (10-8)! = 10*9/ 2 = 45

4 0

3 years ago

15 + 4x + 12 + 6x in standard form

Elanso [62]

Answer:

6x-2y=3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation

Jet001 [13]

<h2>Hello!</h2>

The answers are:

B. $\frac{-3-\sqrt{29}}{2}$

C. $\frac{-3+\sqrt{29}}{2}$

<h2>Why?</h2>

We can use the quadratic equation to find the two values of x that are roots of the given equation. We must remember that most of the quadratic equations have two roots, however, we could find quadratic equations with just one root or even with no roots, at least in the real numbers.

Quadratic equation:

$\frac{-b+-\sqrt{b^{2}-4ac} }{2a}$

So,

From the given equation we have:

$a=1\\b=3\\c=-5$

Substituting it into the quadratic equation to find the roots, we have:

$\frac{-b+-\sqrt{b^{2}-4ac} }{2a}=\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}\\\\\frac{-3+-\sqrt{3^{2}-4*1*-5} }{2*1}=\frac{-3+-\sqrt{9+20} }{2}\\\\\frac{-3+-\sqrt{29}}{2}$

So,

$x_{1}=\frac{-3-\sqrt{29}}{2}\\\\x_{2}=\frac{-3+\sqrt{29}}{2}$

Hence, the correct options are B and C.

7 0

4 years ago

Alicia's MP3 player contains 1,260 songs. Given that 35% of the songs are rock songs and 20% of the songs are rap songs, how man

ivanzaharov [21]

100% is a whole...

35+20=55
100-55=45

There are 45% of other songs

4 0

3 years ago

angle K and angle L are complementary angels. If the measurement of angle K =(3x+3) and the measurement of angle L =(10x-4).what

spayn [35]

The measurement of two angles is 24° and 66°

Step-by-step explanation:

First of all, let us define complementary angles

The angles whose sum is 90° are called complementary angles

Given

∠K = (3x+3)

∠L = (10x-4)

According to the definition,

$K+L = 90\\3x+3 + 10x-4 = 90\\13x -1 = 90\\13x-1+1 = 90+1\\13x = 91$

Dividing both sides by 13

$\frac{13x}{13} = \frac{91}{13}\\x = 7$

So,

∠K = 3x + 3 = 3(7) + 3 = 21+3 = 24°

∠L = 10x - 4 = 10(7) -4 =70 -4 = 66°

Hence,

The measurement of two angles is 24° and 66°

Keywords: Complementary angles, Angles

Learn more about complementary angles at:

#LearnwithBrainly

3 0

4 years ago