Recall that [tex]\sin 2x=2\sin x \cos x[/tex].
If [tex]\sin a=-4/5[/tex], then [tex]\cos a=-3/5[/tex].
[tex]c=\sin(2a)=2(-4/5)(-3/5)=24/25[/tex]
Using similar logic, [tex]d=120/169[/tex].
The value of the variables are,
c = - 24/25 and d = 120/169
From the given graph we can see that two functions,
y = sin (x) and y = sin (2x)
Now, (a, -4/5) lies on y = sin x so,
sin (a) = - 4/5
cos (a) = √(1 - sin² (a)) = √[1 - 16/25] = √9/25 = 3/5 [since cosine function is positive in between - π and 0]
Again (a, c) lies on the y = sin 2x so,
c = sin (2a) = 2 sin (a) cos (a) = 2 (-4/5) (3/5) = - 24/25
Further,
(b, 5/13) lies on y = sin x so,
sin b = 5/13
cos b = √(1 - sin² (a)) = √[1 - 25/169] = √144/169 = 12/13 [since cosine function is positive in between 0 and π/2]
Again, (b, d) lies on y = sin (2x) so,
d = sin 2b = 2 sin (b) cos (b) = 2 (5/13) (12/13) = 120/169
To know more about function here
https://brainly.com/question/28483432
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I need help asap, I have 5 more questions like these, help me!!!!!!1!
Answer:
301.6
Step-by-step explanation:
area of circle is pi*r^2
pi*14^2
196pi
pi*10^2
100pi
196pi-100pi=96pi
= around 301.6
help help me i need the answer badddd PLEASE!!!11!!
Answer:
469.1
Step-by-step explanation:
first find parallelogram area and then 1/2 circle area
parallelogram area=lh
area=12*26
area=312
area of circle=pi*r^2
r=20/2=10
pi*10^2
100pi for full circle
100pi/2=50pi=half circle
50pi=157.1
157.1+312=469.1
Explain how to use equivalent fractions to compare the fractions three fourths and seven twelfths. essay btw
Answer:
Step-by-step explanation:
4/12
First off, this can be reduced since both the
numerator and denominator are divisible by 4
4/12 = (4(1))/(4(3)) = 1/3
Any fraction equivalent to 1/3 will be equivalent to 4/12
... And, of course, 1/3 is equivalent to 4/12 ...
Any number or fraction does not change in value if
multiplied by 1. This means you can take your 1/3
or 4/12 and multiply it by any fraction equivalent to
1 and have an equivalent fraction..
Also note that any number divided by itself equals 1
so a/a = 1 for any given value a except a≠0
(1/3)(2/2) = 2/6
(1/3)(3/3) = 3/9
(1/3)(-2/-2) = -2/-6 = 2/6
(1/3)(4/4) = 4/12 as we know since this is the original fraction
(1/3)(5/5) = 5/15
....
....
1/3, 2/6 , 3/9, 5/15, 6/18, 7/21, ....
There are infinite equivalent fractions to 4/12.
Maggie can use the equation y=7x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked. How many hours did Maggie work if she is paid $45.50?
Group of answer choices
6 hours
5.5 hours
6.5 hours
7 hours
Thanks!
Three equivalent ratios are shown on the graph.
On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted.
Starting on one of the plotted points, how can you plot more equivalent ratio points?
Move up one and right one and one-half.
Move up one and one-half and right three.
Move up two and right three.
Move up one and right two
Move up one and right one and one-half.
Move up one and one-half and right three.
Move up two and right three.
Move up one and right two
It would be the 4th one
It would be D, Move up one, and right two. *
Answer:
D option
Step-by-step explanation:
Move up and right two
Because according to the pattern before, (2, 1) is one up and two right to (1, 0.5)
Similarly, for equivalent ratio, we'll apply the same pattern.
Hope it helps. Pls mark it the BRAINLIEST!
Hey.. I like rlly need help (middle school)
Answer: (2,-6)
Step-by-step explanation:
Answer: hope this helps ♡
The coordinates of S' are (2,-6).
Step-by-step explanation:
S = (6,2)
S rotated 90° = (-2,6)
S rotated 90° = (-6,-2)
S rotated 90° = (2,-6)
Can you solve this for me? Thanks! :>
Answer:
Fraces 40.2
Step-by-step explanation:
The person between 39.6 and 42.4 cannot make the team.
So, as 40.2 is coming in between 39.6 and 42.4, Frances cannot make the team.
Hope this helps. Pls mark it as the BRAINLIEST!
Which number can be used in the box to make the number sentence true?
26-8 >_ + 3
A.11
B.15
C.23
D.26
Answer:
Step-by-step explanation:bbbb
What was the percent of decrease from 50 to 28?
a
22%
b
44%
c
56%
d
79%
Answer:
B- 44%
Step-by-step explanation:
original - new / original
50-22/50
28/50
0.44
0.44 as a percent is 44
Answer:
= 44%
Step-by-step explanation:
50 - 28 = 22
22/50 = 0.44%
0.44 * 100 = 44%
?????????????????????????????????????????????????????
Answer: D 1,004.5
Multiply all the numbers together
The decimal form of 8 1/5 is 8.2 so if you are not entirely sure of the decimals forms you can search or just find out
The correct answer will get brainliest
Let theta be an angle. Then there exist constants a and b such that:
cos(theta+60 degrees)=a sin(theta) + b cos(theta)
for all theta. Enter a, b in that order.
[tex]\cos(\theta+60^{\circ})=\cos \theta \cos 60^{\circ}-\sin \theta \sin 60^{\circ} \\ \\ =\frac{1}{2}\cos \theta-\frac{\sqrt{3}}{2}\sin \theta \\ \\ \therefore a=-\frac{\sqrt{3}}{2}, b=\frac{1}{2}[/tex]
The depth y(in feet) of a river after x years is y=0.1x+10,can you graph the linear equation?
Answer:
Step-by-step explanation:
y=0.1x+10,
slope can be made into a fraction 1/10
slope :1/10
y intercept :=10
draw the graph with the y intercept (0,10)
slope is defines as y movements/ x movements
move one up from (0,10)
and 10 to the right since it is positive making the next point you can plot (10,11)
you can check if this is correct by plugging x and y in
11=0.1(10)+10,
.1x10=1
11=1+10,
1+10 =11
11=11
do the same to the other side
move down 1 from (0,10) and move 10 to the left
next plot will be (-10,9)
you can check by pluging in x and y
9=0.1(-10)+10,
-10x.1=-1
9=-1+10,
-1+10=9
9=9
Now that you have the points you can draw the line and connect them
Hope this helps
Plsss help me!!!!! I need this really soon
Answer:
A
Step-by-step explanation:
If you look, its the only one thats near the -5
Answer:
Point S (Sorry if I'm wrong!)
HELP NOW! ASAP!
Simplify negative 3 and 4 over 5 minus 5 and 2 over 3.
negative 9 and 7 over 15
negative 8 and 2 over 3
2 and 2 over 15
21 and 8 over 15
IM GIVING 35 POINTS IF U ANSWER IT
Answer:
Step-by-step explanation:
-142/15
What do you call numbers that are less than zero and located to the left of zero on the number line?
Group of answer choices
-signed numbers
-zero pairs
-negative numbers
-positive numbers
Thank you!
Answer: Negative numbers
Step-by-step explanation:
Answer:
Negative numbers
Step-by-step explanation:
help me pleaseeeeeeeeeeeeee!!
Answer: 16
Step-by-step explanation:
Entire garden = 7 x 4 = 28m^2
Roses = 3 x 2 = 6m^2
2 Roses = 6 x 2 = 12m^2
Entire garden - 2 Roses = Tulips
So:
28 - 12 = 16 square metres
Answer:
16m2(it's meant to be squared so small 2 on top)
Step-by-step explanation:
1x2=2 (that is for the small turquoise box)
2x7=14(main big box)
2+14=16m2(same here with the 2)
Please help me with this
Answer:
it is 11x+25x=180
Step-by-step explanation:
the sum of the angles of a triangle is 180
so, 11x+25x+9x=180
.11x+34x=180 true
34x=25x+9x
.36x+9x=180 true
36x=11x+25x
.11x+25x+9x=180 true
.11x+25x=180 false because the angle at F hasn't been added to the equation.
The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
(0, 7), (−7, −4), (2, −10)
(−6, −3), (−7, −4), (−4, −10)
(0, 7), (−1, 6), (2, 0)
(−6, −3), (−1, 6), (−4, 0)
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figure
The coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 3 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (-1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
How could you use special factoring patterns to quickly rewrite the difference 50² - 45² as a product? Explain.
(image)
Answer:
95 * 5
Step-by-step explanation:
we know, a² - b² = (a + b) (a - b)
So, we can rewrite 50² - 45² using the above equation
as (50 + 45)(50-45)
which is, 95 * 5 [Your product]
= 475
Answer: 475
Step-by-step explanation:
Using identity: [tex]a^2 - b^2[/tex] = (a+b)(a-b)
--> (50+45)(50-45)
= 95 x 5
= 475
A box of chocolates is a prism with a base in the shape of a heart and a height of 2 inches. The measurements of the base are pictured.
What is the VOLUME of the box of chocolates? Type your final answer (as a number only, no units) into the box.
REMEMBER: Volume = area of base x height
Answer: I think its 30
Step-by-step explanation:
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. What is the perimeter, in inches, of the floor in the scale drawing?
Answer:
259.2 Inches.
Step-by-step explanation:
30*12/5 for one side(length), Multiply by two for the perimeter.
24*12/5 for the width, Multiply by two for the perimeter
144+115.2 = 259.2
Coolish
Answer:
18in
Step-by-step explanation:
Graph the following Equation :
y=3x
Need this TODAY! Will give 100 points if answered
Answer:
see attached
Step-by-step explanation:
Answer:
see graph below
Step-by-step explanation:
y = 3x
We can plot two points on the graph and then make the line.
Let x = 0
y = 3
(0,0)
Let x = 1
y = 3*1 = 3
(1,3)
a shed had a length of 13ft, and a height of 4 1/5 determine the volume? ( 50 points) ( and brainleyest)
Answer: undetermined
Step-by-step explanation: in order to find volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3
Answer:
In order to find the volume you need 3 dimensions the x y and z, you only have x and y no z so it’s a 2d object. If the width is also 13ft then 13x13x4.5= 760.5ft^3
Step-by-step explanation:
HELP ASAP
Find the surface area of the cylinder. Round your answer to the nearest tenth.
radius= 3 ft height= 7 ft
Answer:
The surface area of a cylinder with radius "r" and height "h" is given by: 2πrh + 2πr^2.
So, for the given cylinder, the surface area can be calculated as:
surface area = 2 * π * 3^2 * 7 + 2 * π * 3 * 7
= 2 * π * 9 * 7 + 2 * π * 3 * 7
= 126π + 42π
= 168π
Rounding the answer to the nearest tenth, the surface area of the cylinder is approximately 527.1 square feet.
The correct answer will get Brainliest.
Consider the following points on the graphs of y = cos(x) and y = cos(x + \pi/6), with the added vertical dashed lines:
Then what are 10c and 10d in that order?
Note that [tex]\cos a=\frac{4}{5}[/tex]. Since [tex]-\pi<a<0[/tex], [tex)\sin \alpha<0[/tex]. So, by the Pythagorean theorem, [tex]\sin \alpha=-\frac{3}{5}[/tex].
[tex]c=\cos \left(a+\frac{\pi}{6} \right) \\ \\ c=\cos a \cos \frac{\pi}{6}-\sin a \sin \frac{\pi}{6} \\ \\ c=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}+\frac{3}{5} \cdot \frac{1}{2} \\ \\ c=\frac{4\sqrt{3}+3}{10} \\ \\ \therefore 10c=4\sqrt{3}+3[/tex]
Note that [tex]\cos b=\frac{4}{5}[/tex] and that [tex]0<b<\pi[/tex], meaning [tex]\sin b>0[/tex]. So, by the Pythagorean identity, [tex]\sin b=\frac{3}{5}[/tex].
[tex]d=\cos \left(b+\frac{\pi}{6} \right) \\ \\ d=\cos b \cos \frac{\pi}{6}-\sin b \sin \frac{\pi}{6} \\ \\ d=\frac{4}{5} \cdot \frac{\sqrt{3}}{2}-\frac{3}{5} \cdot \frac{1}{2} \\ \\ d=\frac{4\sqrt{3}-3}{10} \\ \\ \therefore 10d=4\sqrt{3}-3[/tex]
A weather station recorded the amount of rain that fell during an 8-hour time frame sing a rain gauge. The findings are recorded in the graph below.
The rain fell at the greatest rate between which hours?
Responses
0 and 1
1 and 4
4 and 5
5 and 6
Answer:
4 and 5. Step-by-step explanation: between hours 4 and 5 there is 2 inches of rain which is the highest rain
please helpppppppp i don't understand
Answer: 3.6
Step-by-step explanation: the answer is 3.6 because when you do 5.845 to the nearest one you get 6 and when you round 0.56 to the nearest tenth you get 0.6 so in all, that's how I got my answer.
(Pls mark me brainliest tysm!)
Bella is making a sculpture. she has pieces of copper pipe that are 4 centimeters long and 13 centimeters long.what is a possible third length of copper pipe that will make a triangle?
Answer:
Step-by-step explanation:
A possible third length of the copper pipe that will make a triangle is 17 centimeters long.
This can be determined by using the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For example, if the 4 cm pipe represents one side and the 13 cm pipe represents another side of the triangle, in order to make a triangle, the third side must be less than the sum of the other two sides (4 cm + 13 cm) and greater than the difference of the other two sides (13 cm - 4 cm). Therefore, the third side must be between 9 cm and 17 cm.
17 cm is the only length within this range that can make a triangle with 4 cm and 13 cm.
Answer: The possible length of the third triangle is 17
Step By Step Explanation: When you add 4 + 13 = 17 and 4 and 13 were the lengths of the other copper pipes.
can someone help pls i would appreciate it
Answer:
60+4.5pi
Step-by-step explanation:
First find the area of the rectangle alone which is l*w
so 6*10 is 60,
then, you find the area of the semicircle which is 1/2pir^2
so 1/2(pi)(3^2) = 4.5pi
the radius is 3 because its 6/2
then you add it together which is 60+4.5pi
Answer:
Step-by-step explanation:
A of rect. + A of semicircle = Area of the figure
lb + [tex]\frac{\pi r^2}{2}[/tex]
Length of rectangle = 6
Breadth of rectangle = 10
Diameter of semicircle = 6
Radius of semicircle = 3
∴ (6x10) + [tex](\frac{22}{7}[/tex]x[tex]3^2[/tex] x[tex]\frac{1}{2}[/tex])
= 60 + [tex]\frac{99}{7}[/tex]
= 74.14 cm sq
Round off to nearest tenths place = 70 cm sq
Hope this helps. Pls mark the BRAINLIEST!
Identify the value of c that would make the trinomial factorable using the perfect-square pattern.
(25, 27)
Answer:
Step-by-step explanation:
(25) [tex]x^2 + 24x + c[/tex]
24÷2 = 12
∴ [tex]x^2 + 12x + 12x + c[/tex]
Now, 12 x 12 = 144
∴ [tex]x^2 + 12x +12x + 144[/tex]
--> [tex]x^2 + 24x + 144[/tex]
Hope you understood 25!