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3 years ago

Find an ordered pair to represent a in the equation a = 2b + c if b=(6,3) and c=(-4,8)

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

Answer:

The ordered pair to represent a in the equation a=2b+c if b=(6,3) and c=(-4,8) is: a=(8,14)

Step-by-step explanation:

b=(6,3)

c=(-4,8)

a=2b+c

Replacing b and c in the equation above:

a=2(6,3)+(-4,8)

Multiplying:

a=(2*6,2*3)+(-4,8)

a=(12,6)+(-4,8)

Adding:

a=(12+(-4),6+8)

a=(12-4,14)

a=(8,14)

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An A-frame house is 45 feet high and 32 feet wide. Find the measure of the angle that the roof makes with the floor. Round to th

Flura [38]

Answer:

Angle, $\theta=70.4^{\circ}$

Step-by-step explanation:

We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.

The attached figure shows the A frame. Let $\theta$ is the angle that the roof makes with the floor. So,

$\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}$

So, the angle of 70.4 degrees is the angle that the roof makes with the floor.

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3 years ago

A parallelogram has one angle that measures 120 degrees. What are the measures of other three angles in the parallelogram?

leonid [27]

Answer:

60 degrees

Step-by-step explanation:

First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)

This works out to 180(4-2)=360 degrees.

Now we can set up the following equation as:

2(120)+2x=360 Subtract 240 from both sides to get:

2x=120 Divide by 2 to get:

x=60 degrees

Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.

Makes sense?

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4 years ago

Which is another way to check the sum of 104 + 34 + 228 + 877? A. 877 + 228 + 34 + 104 B. 877 – 104 + 34 + 228 C. 34 – 104 + 228

marissa [1.9K]

It would just be A because its the same problem but in a different way

3 0

3 years ago

Read 2 more answers

2. Stephanie has a bag of candy with 2 snickers, 3 butterfingers, 2 Reese's, and 3 Milky Ways bars. What is the probability that

PtichkaEL [24]

I'm sorry to answer your question without an answer but I have no result but if I get one I will notify you

Step-by-step explanation:

I hope that help's SORRY!!

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3 years ago

Can someone help me out with this, i have to turn it in tomorrow

Morgarella [4.7K]

Answer:

Q = 132

P = 48

Step-by-step explanation:

Angles R + S = 180, which means

(5x + 3) + (14x + 6) = 180

19x + 9 = 180

19x = 171

x = 9

R = 5x + 3 = 5(9) + 3 = 48

S = 14x + 6 = 14(9) + 6 = 132

Q = 180 - R = 180 - 48 = 132

P = 180 - Q = 180 - 132 = 48

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3 years ago