Q5 Q31.) Use the Pythagorean Theorem to find the length of the missing side of the right triangle. Then find the value of each of the six trigonometric functions of theta.

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

Answer: [tex]31.24\ ft[/tex]

Step-by-step explanation:

Given

The height of a man is 5 ft

Distance between man and tree is 42 ft

the angle of elevation is [tex]32^{\circ}[/tex]

Suppose h is the height of the tree

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]

Answer:

31.4 ft³

Step-by-step explanation:

Using the relation :

Volume, V = πr²h

Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet

Volume , V = π * 1^2 * 10

V = 1 * 10 * 3.14

V =31.4 feet³

Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³

Answer:

cuarenta y cuatro = 44

Step-by-step explanation:

treinta + catorce = cuarenta y cuatro

30 + 14 = 44

Qué tengas un lindo día

Have a great day

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you picture this scene in your head, you will get a simple 3x4x5 right triangle. 4 times 2 is 8, 5 times 2 is 10, so Sarah should, by now, have traveled 3 times 2 miles.

Final answer: Sarah has traveled 6 miles after an hour.

Hope this helped! :)

Helping tip: The reason it is not 4 is because they are not traveling west and east away from each other. They are traveling north and east, so they are moving in two directions to form a right triangle, and the hypotenuse would be 10 (miles). The side, or distance, that Beth has traveled is 8. So as this is a typical variation of a 3x4x5 triangle, Sarah will have traveled  6 miles.

Answer:

3/10 and 355/1000

Step-by-step explanation:

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

Answer: 1/8

Step-by-step explanation: The sample space are all of the different outcomes an event can lead to. The H and T combinations at the bottom are all of the different outcomes. I think the probability of getting 3 tails for the coins (or TTT) is 1/8. This is because there are 24 total outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT). There is 3/24 TTTs (also, 1/8 if you count the groups/simplify). Therefore, it is 1/8. Hope this helps!

Answer:

P(green) = 1/5

Step-by-step explanation:

P(yellow or blue on board 1) = 2/4 or 1/2

P(yellow or blue on board 2) = 2/5

2/5*2/4 = 4/20

Simplify.

1/5

29 because 9*3 is 27 +2 equals 29

Answer:

29

Step-by-step explanation:

9×3+2=29

Tyra's father is 29

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

Answer:

$26.00

ad the picture Step-by-step explanation: it would be better if i had the pictrue but t ook the unshaded plus the shaded and got $26.00

Answer:

The correct answer is $26.00

Step-by-step explanation:

 $21.00

+$  5.00

________

 $26.00

Answer:

8

Step-by-step explanation:

Answer:

10.82 or [tex] \sqrt{117} [/tex]

Step-by-step explanation:

pythagorean theorem is x^2+y^2=r^2

9^2+6^2=r^2

117=r^2

r= [tex] \sqrt{117} [/tex]

Answer:

10.81665383 about 10.8 units

Step-by-step explanation:

how to find the hypotenuse is a^2 + b^2 = c^2

a = 9

b = 6

9^2 + 6^2

9 x 9 = 81

6 x 6 = 36

81 + 36 = 117

177 = c^2

find the square root of 177 = 10.81665383 about 10.8

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer: In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Step-by-step explanation:

I SMART

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

Answer:

n=1.5

Step-by-step explanation:

distribute: 1.2n-5.4= 3.4-2(3n-1)

Add numbers]: 1.2 n - 5.4= 5.4-6n

Move terms: 1.2n+6n- 5.4=5.4

Add like terms: 7.2n= 5.4+5.4

Divide both sides of equation by 7.2

Answer n= 1.5

9514 1404 393

Answer:

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Answer:

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

Answer: 806.5

Step-by-step explanation: you can split it into 3 different shapes: a triangle, rectangle, and a trapezoid. Then, find the area of each individual figure and add them all together and you get 806.5!!

Answer:

3925 units²

Step-by-step explanation:

area of larger circle = πr² = (3.14)(250²) = 196,250

area of smaller circle = πr² = (3.14)(200²) = 125,600

area of full donut = 196,250 - 125,600 = 70,650

20/360 = 1/18 of full donut

1/18(70,650) = 3925 units²

The answers are 3 and -13

You need to plug 3 and -5 into x

By doing this, you get :

12 - 3^2       and

12 - (-5)^2

those expressions equal

12 - 9

12 - 25

So you get

3

-13

I dont see a problem here!!!!!!!!!

Answer:

B because 20 cm multiplayer by 9cm equals 180cm

Answer:

Diagonals bisect each other

Step-by-step explanation:

16+48=68 that's it good luck

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118