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
Tresset [83]
1 year ago
12

Having trouble solving this problem from my ACT prep bookIt is trigonometry

Mathematics
1 answer:
Reptile [31]1 year ago
5 0

We need to convert 135.28º in degree, minute, and second measure.

In order to do so, notice that:

135.28\degree=135\degree+0.28\degree

Also,

1\degree=60^{\prime}

Thus, we have the proportion:

<em>degrees minutes</em>

<em> 1 60</em>

<em> 0.28 x</em>

Then:

x=0.28\cdot60=16.8

Thus:

0.28\degree=16.8^{\prime}=16^{\prime}+0.8^{\prime}

Now, notice that:

1^{\prime}=60^{\doubleprime}

Thus, we have the proportion:

<em>minutes seconds</em>

<em> 1 60</em>

<em> 0.8 y</em>

Then:

y=0.8\cdot60=48

Therefore:

135.28\degree=135\degree16^{\prime}48^{\doubleprime}^{}

And the first option is correct.

You might be interested in
Let Z be a standard normal random variable and calculate the following probabilities, drawing pictures wherever appropriate. (Ro
puteri [66]

Answer:

(a) P(0 ≤ Z ≤ 2.87)=0.498

(b) P(0 ≤ Z ≤ 2)=0.477

(c) P(−2.20 ≤ Z ≤ 0)=0.486

(d) P(−2.20 ≤ Z ≤ 2.20)=0.972

(e) P(Z ≤ 1.01)=0.844

(f) P(−1.95 ≤ Z)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)=0.862

(h) P(1.01 ≤ Z ≤ 2.50)=0.150

(i) P(1.20 ≤ Z)=0.115

(j) P(|Z| ≤ 2.50)=0.988

Step-by-step explanation:

(a) P(0 ≤ Z ≤ 2.87)

In this case, this is equal to the difference between P(z<2.87) and P(z<0). The last term is substracting because is the area under the curve that is included in P(z<2.87) but does not correspond because the other condition is that z>0.

P(0 \leq z \leq 2.87)= P(z

(b) P(0 ≤ Z ≤ 2)

This is the same case as point a.

P(0 \leq z \leq 2)= P(z

(c) P(−2.20 ≤ Z ≤ 0)

This is the same case as point a.

P(-2.2 \leq z \leq 0)= P(z

(d) P(−2.20 ≤ Z ≤ 2.20)

This is the same case as point a.

P(-2.2 \leq z \leq 2.2)= P(z

(e) P(Z ≤ 1.01)

This can be calculated simply as the area under the curve for z from -infinity to z=1.01.

P(z\leq1.01)=0.844

(f) P(−1.95 ≤ Z)

This is best expressed as P(z≥-1.95), and is calculated as the area under the curve that goes from z=-1.95 to infininity.

It also can be calculated, thanks to the symmetry in z=0 of the standard normal distribution, as P(z≥-1.95)=P(z≤1.95).

P(z\geq -1.95)=0.974

(g) P(−1.20 ≤ Z ≤ 2.00)

This is the same case as point a.

P(-1.20 \leq z \leq 2.00)= P(z

(h) P(1.01 ≤ Z ≤ 2.50)

This is the same case as point a.

P(1.01 \leq z \leq 2.50)= P(z

(i) P(1.20 ≤ Z)

This is the same case as point f.

P(z\geq 1.20)=0.115

(j) P(|Z| ≤ 2.50)

In this case, the z is expressed in absolute value. If z is positive, it has to be under 2.5. If z is negative, it means it has to be over -2.5. So this probability is translated to P|Z| < 2.50)=P(-2.5<z<2.5) and then solved from there like in point a.

P(|z|

7 0
3 years ago
Read 2 more answers
[\;p[\[p;[k\k\[pppppp
luda_lava [24]

Answer:

??

Step-by-step explanation:

4 0
3 years ago
I need help with this
Lisa [10]

Answer:

1

Step-by-step explanation:

15,580.84 rounded to the nearest 10 thousand is 20,000

8 0
3 years ago
Which expression has the same value as 7÷9 over 10
Maurinko [17]
This may be wrong but I'm going to go with B. 1/7 x 9/10



Hope this helps! ( Probably didn't help in any way but I tried).
5 0
3 years ago
The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day durin
frutty [35]
What's the question???????
8 0
2 years ago
Other questions:
  • Okay I need help on a couple so please help
    7·1 answer
  • How do you solve 2 7/10+ 2 4/5?
    5·1 answer
  • Town B is 40km due North of town A. what is the bearing of A from B<br>​
    5·1 answer
  • What is the difference written in scientific notation?
    6·1 answer
  • On Monday John ate 1/6 of a carton of eggs. If there are 12 eggs in the carton how many eggs are left
    8·2 answers
  • Please help meeeeeeeeee help please
    11·1 answer
  • What is one forth of 36543.00
    8·2 answers
  • The question is on the picture
    7·1 answer
  • What function g describes the graph of f after the given transformations?
    11·1 answer
  • Francesca needs to buy 7 1/5 feet of packaging tape. There are 1 1/5 feet of tape on
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!