Use the exterior angle theorem to find the value of x in the triangle below.



A
x = 7

B
x = 5

C
x = 12

D
x = 15

Answer:

Angle between vectors u and v: 26.56 degrees

Step-by-step explanation:

I just recently did this question, so here's my response and hopefully that helps you:

Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.

The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.

Since

vector v is from (0,0) to ( -2,-1)

So,

[tex]\bar{v}=-2i-j[/tex]

Here, vector u is from (0,0) to (-3,-4)

So,

[tex]\bar{u}=-3i-j4[/tex]

Now here we used dot product concept

Now

[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]

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Answer: 62cm^2

Step-by-step explanation: 70-8=62

Answer: Infinitely many solutions.

Step-by-step explanation:

Answer:

(-3, -1/2)

Step-by-step explanation:

[tex]-\frac{2}{3} (-3) - 4*(-\frac{1}{2}) = 2-(-2) = 4[/tex]  > 0

Answer:

30+ X = 52

Step-by-step explanation:

Answer:

x+30=52

or 52-30

Step-by-step explanation:

I know 2nd grade math.

Subtract 30 from 52.

Answer:

m=0

Step-by-step explanation:

182=288 so 74 76 78 80 82 ×2 == 76 78 80 82 84 ans the range is 2920

Answer:

What I do for these is do the shapes separately and use the appropriate formulas! Then add them Up! So the easiest is the rectangle that would be 5 × 4 = 20 then the triangles would be 5 x 1 = 5 then ÷ by 2 = 2.5 but since there are two of those triangles we just multiply by 2 again so 2.5 × 2 = 5 for the last two triangles at the top it would be 4 × 4 = 16 then ÷ by 2 = 8 but since theres 2 triangles multiply by 2 so 8 × 2 = 16 now we add all of these numbers up so 20 + 5 + 16 = 41 Hope that helps!

Answer:

82

Step-by-step explanation:

All honesty I did 2*42=82 :) <3

Answer:

All the above

Answer:

An enlarged left ventricle, one of the most serious types of enlarged heart, increases the risk of heart failure. In heart failure, your heart muscle weakens, and the ventricles stretch (dilate) to the point that the heart can't pump blood efficiently throughout your body.

Step-by-step explanation:

Answer:

increases the risk of heart failure

your heart muscle weakens

the heart can't pump blood efficiently throughout your body (low ejection fraction)

Type of diseases that enlarge heart: Cardiomyopathy, enlarged left ventricle

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

4 x 5 = 20

Answer:

3.5

Step-by-step explanation:

Answer:

x = 4

( if you need a better explanation ask me and i'll give you a different one) :)

Step-by-step explanation:

15 x b = 60

15 x b divided by 15 = 60 divided by 15 to get the 15 from one side to the other

x=4

Answer:

58

Step-by-step explanation:

Answer:

Exact Form: 70/3

Decimal Form: 23.333

Mixed Number: 23 1/3

Step-by-step explanation:

The required length of the cut edge will be 50 cm. which is the correct answer would be an option (D).

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The piece of paper from one corner to the other, as shown figure.

Let the length of the cut edge would be x cm, which is equal to the hypotenuse in the given right triangle.

According to Pythagoras's theorem,

⇒ c² = a² + b²  ....(i)

As per the given question, we have

c = x, a = 40 cm and b = 30

Substitute the values in the above formula, and solve for x

⇒ x² = 40² + 30²

⇒ x² = 1600 + 900

⇒  x² = 2500

⇒  x² = 50²

⇒  x = 50

Therefore, the required length of the cut edge will be 50 cm.

Learn more about Pythagoras's theorem here:

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Answer:

[tex]x = \frac{130}{2} = 65[/tex]

Answer:

D

Step-by-step explanation:

It catches fire at or above. so greater than or equal to. so D

Answer:

m = 13.86  c = 16

Step-by-step explanation:

Use the 30-60-90 triangle laws.

Answer:

area of the semicircle=

diameter²=9²+21.6²

=81+466.56

diameter² =547.56

diameter=√547.56

=23.4

radius of the semicircle=diameter/2=23.4/2

=11.7

area of the semicircle=1/2πr²

=1/2×3.14×11.7²

=214.9173m²

area of the triangle=1/2×9×21.6

=97.2m²

area of the shaded region=214.9173m²-97.2m²

=117.7173m²

round it as possible

Answer:

A acute

Step-by-step explanation:

cause an acute it between 0-90 degrees

Answer: [tex]P(t)=450+50t[/tex]

Step-by-step explanation:

Given

Studio charge $50 per hour and fixed charge for initial use

For 5 hours, it charges $700

Suppose x is the fixed charge

[tex]\therefore 700=x+50\times 5\\\Rightarrow x=700-250\\\Rightarrow x=\$450[/tex]

For t hours, studio charges

[tex]\Rightarrow P(t)=450+50t[/tex]

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation:

Answer:

D 68

Step-by-step explanation:

I think that's the answer

Answer:

71

Step-by-step explanation:

3×3 = 9

5×6 = 30

4 × 8 = 32

30+32+9= 71

Answer:

Step-by-step explanation:

This is a linear relationship. We know this because as the number of songs increases by 10,000 the amount of money increases $2500. We can use that relationship in a proportion, which is a method used to solve problems involving directly proportional numbers.

If we arrange our information such that the dollars earned are on the top of the fraction and the number of songs that need to be downloaded to earn that amount of money is on the bottom of the fraction, here is what we have:

[tex]\frac{2500}{10,000}[/tex]. This means that the artist receives $2500 for every 10,000 downloads. Keeping in that pattern, we can find out how much money he will earn when 500,000 downloads are completed, assuming that the amount he earns per 10,000 songs doesn't change.

[tex]\frac{2500}{10000}=\frac{x}{500000}[/tex] and cross multiply to get

10,000x = 1250000000 and divide to get

x = 125,000

That is the amount that he will earn from 500,000 downloads.

[tex]\frac{$}{#}[/tex]

Answer:

48 yd

Step-by-step explanation:

19+19+5+5

Answer:

perimeter is length + length + width + width so 19+19+5+5= 48