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DIA [1.3K]
3 years ago
11

Find all of the missing sides or angles in the right triangle

Mathematics
1 answer:
shutvik [7]3 years ago
4 0
Tan(29°) = opposite/adjacent = AC/CB  ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08

sin(29°) = opposite/hypotenuse = AC/AB  ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25

∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°

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Which of the following is equivalent to (a + b) (a/b)
cestrela7 [59]

Answer:

\frac{a^{2} +  ab }{b}

Step-by-step explanation:

(a + b) * (\frac{a}{b}) = \frac{a * (a+b)}{b} = \frac{a^{2} +  ab }{b}

7 0
3 years ago
If two objects travel through space along two different curves, it’s often important to know whether they will collide. (Will a
galina1969 [7]

Answer:

<em>Both objects collide at t=3 in the point  <9,9,9></em>

Step-by-step explanation:

<em>Collision Of Moving Objects </em>

Two objects can describe different trajectories in the space. Those trajectories can intersect in one or more points but it doesn't mean they collide. Collision occurs if they are in the same position at the same time. If we know the positions as a function of time of each object, we could try so find if, for a given time, they are in the same position.

The positions of two object are given as

r1(t)=

r2(t)=

Let's find out if there is at least one value of t that makes both positions to be the same. We can try by equating one of the three coordinates and testing if the value of t make both have the same x,y,z coordinate. Let's try equating the x-components of both

t^2=4t-3

Rearranging

t^2-4t+3=0

Factoring

(t-1)(t-3)=0

We found two solutions

t=1,\ t=3

for t=1 the x-coordinates are

x1=t^2=1

x2=4t-3=1

For t=3

x1=t^2=9

x2=4t-3=9

Now we'll test both values in the y-coordinates

y1=7t-12

y2=t^2

For t=1

y1=-5

y2=1

Thus they don't collide at t=1. Let's try t=3

y1=7(3)-12=9

y2=3^2=9

Now let's try the z-coordinate for t=3

z1=t^2=9

z2=5t-6=9

Since the three coordinates match, we can say both objects collide at t=3 in the point  <9,9,9>

6 0
3 years ago
Plssss helpppppp! 45 points!
kap26 [50]

Answer:

15 C

Step-by-step explanation:

C = 5/9( F - 32)

Let F = 59

C = 5/9( 59 -32)

Parentheses first

   = 5/9( 27)

   = 15

6 0
2 years ago
What is the area of the shaded rectangle
Contact [7]

Answer:

27/70

Step-by-step explanation:

9/10 of the rectangle is shaded on the top and 3/7 of the rectangle is shaded on the side. Multiply those values together to find the area of the shaded rectangle.

9/10 · 3/7 = 27/70

4 0
3 years ago
there are 3 lines of people waiting to enter a museum each line has 12 people 4 people decide to leave how many people remain in
kumpel [21]
32. (12×3)-4=32. I really hope that helps.
3 0
3 years ago
Read 2 more answers
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