1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marat540 [252]
3 years ago
5

Hey yall i would really appreciate your help on this plz

Mathematics
1 answer:
Katarina [22]3 years ago
6 0

Answer:

the length of the opposite side (x), is 27.2

Step-by-step explanation:

For the given right triangle problem;

the opposite side of the given angle, opp. = 22

the hypothenuse side,  hypo. = x

given angle of the triangle, θ = 54⁰

The length of the opposite side (x), is calculated as follows;

sin \ \theta = \frac{opp.}{hypo.} \\\\sin (54) = \frac{22}{x} \\\\x = \frac{22}{sin(54)} \\\\x = 27.2

Therefore, the length of the opposite side (x), is 27.2

You might be interested in
Apply each of the four counting/sampling methods (with replacement and with ordering, without replacement and with ordering, wit
dusya [7]

Answer:

Step-by-step explanation:

I will illustrate this solution with a unique birthday party situation between Jane (the celebrant) and her 10 friends.

In the said party , we will assume that Jane only has 5 chocolates to share among her friends

i. Assuming that the 5 chocolates are of the same type, if she doesn't want to give any friend more than one piece of chocolate, the situation here is said to be WITHOUT REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

(\left {n} \atop {k}} \right. )=(\left {10} \atop {5}} \right. )=252

ii. Assuming that the 5 pieces of chocolate are of the same type and she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & UN-ORDERED

n = 10 and k = 5

Total number of possible combinations becomes,

(\left {n+k-1} \atop {k}} \right. )=(\left {14} \atop {5}} \right. )=2002

iii. Assuming that the 5 pieces of chocolate are of different types and she isn't willing to give any friend more than one piece of chocolate, the situation is said to be WITHOUT REPLACEMENT & ORDERED

n = 10 & k = 5

Total number of possible combinations becomes,

P\left {n} \atop {k}} \right=P\left {10} \atop {5}} \right. =30240

iv. Assuming the the 5 pieces of chocolate are of different types, if she is willing to give a friend more than one piece of chocolate, the situation is said to be WITH REPLACEMENT & ORDERED

n = 10 AND k = 5

Total number of combinations becomes

n^k=10^5=100,000

Sampling with replacement means that one friend can be sampled more than once i.e: A friend receives a piece of chocolate more than once

The order dictates how the sampling is applied.

3 0
3 years ago
Determine if the specified linear transformation is ​(a​) ​one-to-one and ​(b​) onto. Justify your answer. ​T: ​, ​T(​)​(​,​), ​
xz_007 [3.2K]

Answer:

C. T is not​ one-to-one because the standard matrix A has a free variable.

Step-by-step explanation:

Given

T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)

Required

Determine if it is linear or onto

Represent the above as a matrix.

T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right]  \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right]

From the above matrix, we observe that the matrix does not have a pivot in every column.

This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one

8 0
3 years ago
(2, -7) and (4, -13)
kkurt [141]

Answer:

-14 or (6,20)

8 0
2 years ago
A rectangular prism has a length of 412 millimeters, a width of 412 millimeters, and a height of 6 millimeters. Sally has a stor
Dominik [7]
Multiply the length*width*height to get the volume of the prism then, take out the difference between the volumes
Volume of the prism= 1018464
Then just subtract
0 0
3 years ago
A bus driver started her day with an empty bus. At her first stop she picked up
lidiya [134]

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

<em>There</em><em> </em><em>were</em><em> </em><em>12</em><em> </em><em>people</em><em> </em><em>on</em><em> </em><em>the</em><em> </em><em>bus</em><em> </em><em>after</em><em> </em><em>the</em><em> </em><em>driver</em><em> </em><em>left</em><em> </em><em>the</em><em> </em><em>third</em><em> </em><em>stop</em><em>.</em>

8 0
2 years ago
Other questions:
  • What is the difference write the number 60-20
    14·2 answers
  • Which is equivalent to the following expression?
    14·2 answers
  • a cheetah can run at a rate of 105,600 yards per hour. Find the number of miles the cheetah could run in 5 minutes.
    15·2 answers
  • A magazine provided results from a poll of 1500 adults who were asked to identify their favorite pie. Among the 1500 ​respondent
    5·1 answer
  • Submit Test
    5·1 answer
  • How many more pictures are there for Cam than Fernado?
    13·1 answer
  • The refrigerator part of a refrigerator freezer has a volume of 27 cubic feet. The freezer part is 2 feet high 2 feet deep and 3
    14·1 answer
  • 1 Factorise completely.<br> (a) 2a+4+ap+2p<br> (b) 162 – 8t^2
    15·2 answers
  • Determine the percent of change.<br> 15 planes to 18 planes
    6·1 answer
  • 13) When reading a nutrition label for a box of chocolates, you see that there are 296 calories in 8 pieces. Use scaling to find
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!