Answer:
When we have a rectangular point (x, y), the angle between the x-axis and a ray that connects the origin with this point is given by:
Tan(θ) = y/x.
Cos(θ) = x/(√(x^2 + y^2))
Sin(θ) = y/(√(x^2 + y^2))
So for the point (-4,3) we have:
x = -4
y = 3
√( (-4)^2 + 3^2) = √(16 + 9) = √25 = 5
Then:
Tan(θ) = 3/-4 = -(3/4)
Sin(θ) = 3/5
Cos(θ) = -4/5
And for the other 3 trigonometric functions (the inverses of the 3 above ones) we have:
Ctg(θ) = 1/Tan(θ) = -4/3
Csc(θ) = 1/Sin(θ) = 5/3
Sec(θ) = 1/Cos(θ) = -4/5
hello there. can you help with this. thank you :D
you get 20 points ^^
Answer:
A - 3
B - 5
C - 1
D - 2
E - 6
F - 4
Sorry too tired to explain ;-;
But hope this helped, and yes, it is for sure correct!
(pls consider brainliest? :D)
A certain television is advertised as a 54-inch TV (the diagonal length). If the width of the TV is 40 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
36.3
Step-by-step explanation:
I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.
[tex]a^2 + b^2 = c^2[/tex]
[tex]a^2 + (40)^2 = (54)^2[/tex]
[tex]a^2 + 1600 = 2916[/tex]
[tex]a^2 = 2916-1600 = 1316[/tex]
[tex]a = \sqrt{1316}[/tex]
[tex]a = 36.27671429[/tex]
When this is rounded up to the nearest tenth, it would go up to 36.3.
So, the length (tallness) of the TV would be 36.3 inches.
a boy kicks a 0.445kg soccer ball with the force of 75 newtons what is the acceleration of the soccer ball
Answer:
168.5 m/s^2
Step-by-step explanation:
The perimeter of a square is 100. The side length is represented by 2x+3. Solve for x.
Answer:
4×side length=perimeter of the square
4×(2x+3) = 100
2x+3 = 25
2x=25-3=22
x=11
At the aquarium, posters of sharks cost $2 and posters of jellyfish cost $6. Mr. Benson spent $64 to buy 12 posters. How many of each type of poster did Mr. Benson buy?
Answer:
8
Step-by-step explanation:
Step 1: Add the cost of the posters together
Shark: 1 = $2
Jellyfish: 1 = $6
2 + 6 = 8
Step 2: Divide the result by the total amount Mr. Benson spent
64 ÷ 8
[tex]= \frac{64}{8}[/tex]
[tex]= 8[/tex]
Therefore, Mr. Benson bought 8 of each type of poster.
3 cm 15 cm 18 cm What volume of nuts could the container hold? a 270 cm b 869 cm c 738 cm d810 cm
Answer:
d-810 cm
Step-by-step explanation:
mutiply
3x15x18=810
Please help! Struggling with this a bit
Answer:
Rate of change= 9 Starting amount= 65
The equation would be y= 9x + 65
After 9 months, he would have 146 vreels
For the graph, put the points (0, 65) (2, 83) and (4, 101)
help meeeeeeeeeeeeeeee. this is due tomorrow
Answer:
common difference increases by 2 times
d = (2×12) = 24
[tex] {a}^{4} + {b}^{4} + {c}^{4} = (22 + (12 \times 2)) \\ = 46[/tex]
Find the ratio in simplest form.
a) 24 to 56
how do you factor this trinomial? 2x² + 9x - 18
Factor by grouping.
(2x + 3)(x − 6)
Answer:
(2x-3) (x+6)
Hope this helps :)
Equations on both sides
3x + 5 = 2x -17
Solve it and show the work because i need to show the work
Answer:
x = -22
Step-by-step explanation:
Subtract 5 from both sides
3x + 5 (-5) = 2x - 17 (-5)
3x = 2x - 17
Subtract 2x from both sides
3x (-2x) = 2x (-2) -22
x = -22
How wide is the pond?
20ft
Step-by-step explanation:
lil kitty on the roof all aloe without his lady
A rectangle prism has a base with an area of 20 square centimeters and a height of 3 centimeters. What is the volume of the prism?
Answer:
Step-by-step explanation:
The volume of a rectangular prism is shown below:
We are given the an area of
173.6
cm
and a height of
9
cm
.
We also know that the formula for area is
l
w
, meaning we can substitute the area for
l
w
in the volume formula.
Now let's plug in what we know into the formula and solve for the volume:
V
=
(
173.6 cm
2
)
(
9 cm
)
=1562.4 cm
3
The volume of the rectangular prism is
1562.4 cm
3
.
The point (3, -1) is on the line given by which equation below?
A. y = -3x
B. y = x - 4
C. y = x + 4
D. y = 3x
Answer:
Just grabbin points
Step-by-step explanation:
Answer:
B. y = x - 4
Step-by-step explanation:
(x, y) = (3, -1)
y = x - 4
y = 3 - 4
y = -1
#CMIIWJessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?
Answer:
2 3/4 cups
Step-by-step explanation:
Jessica made 6 19/20 cups of punch. Her punch had two different types of juices in it. If the lunch had 4 1/5 cups of one type of juice, how many cups of the other type of juice did it have?
We solve this question using the Subtraction operation
Total cups = cups of first type of juice + cup of other type of juice
6 19/20 = 4 1/5 cups + x
x = 6 19/20 - 4 1/5 cups
Lowest Common Denominator = 20
x = 6 - 4 + (19/20 - 1/5)
x = 2 + (19 - 4/20)
x = 2 15/20 cups
x = 2 3/4 cups
Other type of juice had 2 3/4 cups of juice
Help me with this please
Answer:
1. 5
2. 8
Step-by-step explanation:
Drop your favorite American Horror Story character for 5 easy points
Answer:
the clown plz mark brainliest
Answer:
TATE AND BROOKE THOMPSON or any of emma roberts characters
A rope is stretched from the top of a
7-foot tent pole to a point on the ground
12 ft from the base of the pole. How long
is the rope ?
Answer:
Step-by-step explanation:
we know two sides of a triangle, one side is 7 feet, the other is 12 feet , so use Pythagoras theorem
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
[tex]C^{2}[/tex] = [tex]7^{2}[/tex] + [tex]12^{2}[/tex]
[tex]C^{2}[/tex] = 49 + 144
[tex]C^{2}[/tex] = 193
C = [tex]\sqrt{193}[/tex]
C = 13.89 feet
Answer:
The square of the hypotenuse equals the square of the sum of the other two sides.
13.89ft
Step-by-step explanation:
Definition Of Pythagoras Theorem :The Pythagorean theorem states that the total of the squares on a right triangle's legs equals the square on the hypotenuse (the side opposite the right angle)—or, in popular algebraic form, a2 + b2 = c2.
Given:Height of the Tent Pole = 7ft.
Base of the Pole of the Tent = 12ft.
Now we will use Pythagoras theorem to find how long the rope is.
Use of Pythagoras theorem
[tex]\begin{aligned}&C^{2}=A^{2}+B^{2} \\&C^{2}=7^{2}+12^{2} \\&C^{2}=49+144 \\&C^{2}=193 \\&C=\sqrt{193} \\&C=13.89 \text { feet }\end{aligned}[/tex]Hence, the length of the rope is 13.89ft.
To know more about Pythagoras theorem here
https://brainly.com/question/343682 #SPJ2
I need to know they answers below please hurry
Answer:
A) 2
B) 0
C) 1
Step-by-step explanation:
Why can't 6cm 5cm 8cm make a triangle
Answer:
They can, the lines just need to be sloped
39. If one student can complete the decorations for the prom in 5 days
working alone, another student could do it in 3 days, and a third could
do it in 4 days, how long would it take them working together?
Answer:
1.3 days
Step-by-step explanation:
1/5+1/4+1/3
12/60+20/60+15/60= 47/60
60/47
=1.3
please I've been looking for an answer to this question
Answer:
x = 9cm
using sine rule
a/sine(A) = b/sine(B)
a= x; A= 64° ( alternating angles)
b= 10 cm ; B = 90°
x/sine(64) = 10/sine(90)
x= {10 × sin(64)}/ sin 90
x = 9cm
Answer:
650
Step-by-step explanation:
A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.
Find their present ages.
Answer:
Age of son = 6 years
Age of man = 5×6 = 30 years
Step-by-step explanation:
GIVEN :-
A man is 5 times as old as his son. (In Present)4 years ago , the man was 13 times as old as his sonTO FIND :-
The present ages of the man & his son.SOLUTION :-
Let the present age of son be 'x'.
⇒ Present age of man = 5x
4 years ago ,
Age of son = (Present age of son) - 4 = x - 4
Age of man = (Present age of man) - 4 = 5x - 4
The man was thirteen times as old as his son. So,
[tex]=> 5x - 4 = 13(x - 4)[/tex]
Now , solve the equation.
Open the brackets in R.H.S.[tex]=> 5x - 4 = 13x - 52[/tex]
Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.[tex]=> 13x - 5x = 52 - 4[/tex]
[tex]=> 8x = 48[/tex]
Divide both the sides by 8[tex]=> \frac{8x}{8} = \frac{48}{8}[/tex]
[tex]=> x = 6[/tex]
CONCLUSION :-
Age of son = 6 years
Age of man = 5×6 = 30 years
Can 1-9 be solved please ANSWER FAST!!!
Answer:
1) solution
2x+3*5x=34
2x+15x=34
17x=34
x=34/17
x=2
2) solution
2*4y+3y=44
8y+3y =44
11y=44
y=44/11
y=4
3) solution
4y+5=3y-2
4y-3y=-2-5
y= -7
4) solution
2x+3=4x-1
3+1=4x-2x
4=2x
x=4/2
x=2
5) solution
4(y-1)=3y+3
4y-1=3y+3
4y-3y=3+1
y=4
6) solution
2(1/2y +3)-y=6
2/2y+3-y=6
y+3-y=6
2y=6
y=6/2
y=3
7) solution
8x+2(-4x+11)=13
8x-8x+11=13
11=13
8) solution
2x-3x-9=-4
-x=-4+9
-x=5
x= -5
9) solution
3(3y+1)-5y=11
9y+3-5y=11
4y=11-3
y=8/4
y=2
please marks brainliest I had to spend lot of time typing this.
A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)?
Answer:
900 cubic feet
Step-by-step explanation:
Volume = length x width x height
= 10 x 20 x 4.5
= 900
in a bag, there are 5 red marbles, 2 blue marbles and 3 purple marbles. what is the probability of drawing a purple marble
Answer:
The probability of drawing a purple marble is 3/10
There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2
marbles one after the other without replacement, then what is the probability that both
are red in color? Are the two events independent or dependent?
Find the distance:
Speed = 99 km/h, Time = 40 mins
Step-by-step explanation:
Speed= distance/time
Speed=99 km/h /40 mins
Speed= 2,475 km/h
Answer:60km
Step-y-step explanation:
distance=Speed*Time
distance=90*(40/60)=60km
What is the fractional form of 0.02?
А. 2/99
B. 1/11
C. 2/100
D.1/12
1121314 5 -
The top, front, and side views of a rectangular prism are shown.
top view
front view
(1) side view
How many unit cubes are used to build the solid?
unit cubes are used to build the solid.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the views are not shown.
So, I will answer this question with the attached views of a rectangular prism.
Required
The number of cubes used
For the attached views of the rectangular prism, we will make use of the following representations
Top view [tex]\to[/tex] Width
Front view [tex]\to[/tex] Height
Side view [tex]\to[/tex] Length
So, we have:
[tex]Width = 2 units[/tex]
[tex]Height = 6 units[/tex]
[tex]Length = 1\ unit[/tex]
The number of cubes is calculated by solving for the volume of the prism.
For a rectangular prism, the volume is:
[tex]Volume = Length * Width * Height[/tex]
[tex]Volume = 2 * 6 * 1[/tex]
[tex]Volume = 12[/tex]
This implies that 12 cubes were used to build the solid.