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vodka [1.7K]
3 years ago
13

SUMMER SCHOOL PLZ HELP

Mathematics
1 answer:
LuckyWell [14K]3 years ago
8 0
Question 1:
The labeled points are points from the drawing are:
A,B,C,D,E

Question 2:
The intersection of the two lines is a point since the necessary condition for the two lines to intersect is that they should be on the same plane, hence they form a point.
Thus the correct answer is: True

Question 3:
The name for a given line is given from the end points that forms the line. Hence given that the two points forming the line is B and P, the correct answer is option C]

Question 4:
There are 5 letters and you use 2 to name the line, so the number of choices will be given by:
5C2=5!/(2!(5-2)!)
=(5×4×3×2×1)/(2×1×3×2×1)
=10


Question 5:
Collinear points are three or more points which lie on the same single straight line. In our case the points are:
T,X,V
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Rewrite each expression in terms of sine and cosine only.
Sliva [168]

Answer:

1. Cosθ / SineθCosθ

2. Sineθ / Cos²θSineθ

3. Cosθ / Sineθ

4. Cos²θ + Sin²θ – Sin²θ

Step-by-step explanation:

1. SecθCotθ

Recall

Sec θ = 1/Cos θ

Cot θ = 1/Tan θ

But Tan θ = Sine θ / Cos θ

Thus,

Cot θ = 1 ÷ Sine θ / Cos θ

Cot θ = 1 × Cos θ / Sine θ

Cot θ = Cos θ / Sine θ

Therefore,

SecθCotθ = 1/Cos θ × Cos θ / Sine θ

SecθCotθ = Cosθ / SineθCosθ

2. SecθTanθCscθ

Recall

Sec θ = 1/Cos θ

Tan θ = Sine θ / Cos θ

Csc θ = 1/Sine θ

Thus,

SecθTanθCscθ =

1/Cosθ × Sineθ/Cosθ × 1/Sineθ

= Sineθ / Cos²θSineθ

3. Cscθ/Secθ

Recall

Csc θ = 1/Sine θ

Sec θ = 1/Cos θ

Thus,

Cscθ/Secθ = 1/Sine θ ÷ 1/Cos θ

= 1/Sine θ × Cos θ

= Cosθ / Sineθ

4. Cosθ / Secθ

Recall

Sec θ = 1/Cos θ

Cosθ / Secθ = Cosθ ÷ 1/Cosθ

= Cosθ × Cosθ

= Cos²θ

Recall

Cos²θ + Sin²θ = 1

Cos²θ = 1 – Sin²θ

But

1 = Cos²θ + Sin²θ

Thus,

Cos²θ = Cos²θ + Sin²θ – Sin²θ

Therefore,

Cosθ / Secθ = Cos²θ + Sin²θ – Sin²θ

6 0
3 years ago
What is the solution to 2x + 8 > 10 ?
djyliett [7]
2x + 8 > 10
You first move + 8 to the other side, so you subtract 8
(When you see addition, you perform subtraction)
2x + 8 - 8  > 10 - 8
+ 8 and - 8 cancels out
2x > 2
Now, to isolate x, you should divide both sides by 2
(When you see multiplication, you perform division)
\frac{2x}{2} > \frac{2}{2}
2 and 2 cancels out and we are left with
x > 1
So your final answer will be x > 1
6 0
3 years ago
PLEASE HELP question is in the picture
Ivanshal [37]

Answer:

B

Step-by-step explanation:

trust

6 0
3 years ago
ASAP PLZZ HELP BRAINLEST TO THE BEST ANSWER IF YOU DONT KNOW DONT ANSWERRRRRRRRR
Verdich [7]

Answer:

soft sounds are better because the energy in the waves hitting your eardrum and if there is too much energy it could damage your ear.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me i need an answer
prohojiy [21]
Let the number be n
Part A- 2/3  + n = 2n+3
Part B- n= 2/3 -3
 n= 2-9 / 3
n= -7/3 =-2.33
3 0
3 years ago
Read 2 more answers
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