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Alex_Xolod [135]
3 years ago
8

Solve for the missing side of the triangle. 9.03 11.98 18.78 24.92

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0

Answer:

11.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 53 = x/15

15 sin 53 = x

11.97953265 = x

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Estimate each number by rounding to the nearest 100,000
SpyIntel [72]

What are the numbers

8 0
3 years ago
Consider the vectors a =3i +j −k, b =i +j +4k, c=i +3j +k, d =−i −3j +k, g =−3i −j +k. Which pairs (if any) of these vectors are
11111nata11111 [884]

Answer:

a and b are perpendicular to each other, as are b and d, b and g

Step-by-step explanation:

To check whether two vectors are perpendicular to each other, we need the angle between these vectors to be 90 degrees.

We can find the angle between to vectors a and b from the following relation:

The cosine of the angle \theta between two vectors is equal to the dot product of this vectors divided by the product of vector magnitude.

So

cos(\theta) = \frac{a.b}{|a||b|}

cos(90) = 0, so when the dot product between vectors a and b is 0, it means that these vectors are perpendicular to each other.

Now, for your exercise, let's compute the dot product between these vectors.

-----------

a.b = (3,1,-1).(1,1,4) = 3+1-4 = 0

So a and b are perpendicular to each other.

------------

a.c = (3,1,-1).(1,3,1) = 3+3-1 = 5

a and c are not perpendicular to each other.

--------------

a.d = (3,1,-1).(-1,-3,1) = -3-3-1 = -7

So not perpendicular

---------------

a.g = (3,1,-1).(-3,-1,1) = -9-1-1 = -11

Not

-----------------

b.c = (1,1,4).(1,3,1) = 1+3+4 = 8

Not

------------------

b.d = (1,1,4).(-1,-3,1) = -1 -3 +4 = 0

b.d = 0, so b and d are perpendicular to each other

--------------------

b.g = (1,1,4).(-3,-1,1) = -3-1+4 = 0

b.g = 0, perpendicular

---------------------

c.d = (1,3,1).(-1,-3,1) = -1-9+1 = -9

No

-----------------------

c.g = (1,3,1).(-3,-1,1) = -3-3+1 = -5

No

------------------------

d.g = (-1,-3,1).(-3,-1,1) = 3+3+1 = 7

No

7 0
3 years ago
An angle measures 36.8° more than the measure of its complementary angle. What is
grandymaker [24]

Answer:

og angle: 126.8

complementary angle: 53.2

og angle mirror (if any): 126.8

complementary angle mirror (if any): 53.2

5 0
2 years ago
If I’m asked to simplify an expression does that mean I shorten it or solve it?
DochEvi [55]

Answer:

Solve it

Step-by-step explanation:

When you're asked to simplify an expression it means to solve it.

4 0
3 years ago
Read 2 more answers
HELP PLEASE asap I behind
Evgen [1.6K]
126 + 9x = 180
180 - 126 = 54
9x = 54
x = 6

mark me brainliest if the answer is correct , thank you in advance :)
4 0
3 years ago
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