Answer:
The product of sin 30° and sin 60° is the same as the the product of cos 30° and cos 60°.
The product of sin 30° and sin 60° is same as the product of cos 30° and cos60°.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We know that the sine function is a ratio of opposite side and hypotenuse.
The cosine function is a ratio of Adjacent side and hypotenuse.
Let us find the product of sin 30° and sin 60°
=sin 30°.sin 60°
=1/2.√3/2
=√3/4
Now we know that cos 60° is 1/2 and cos 30° is √3/2
Product cos 60° and cos 30°
cos 30°.cos 60°=1/2.√3/2
=√3/4
Hence, the product of sin 30° and sin 60° is same as the product of cos 30° and cos60°.
To learn more on trigonometry click:
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.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
Which of these functions has exactly two different zeros? Please help
An automobile passes a point PP at a speed of 84 mph. At PP it begins to decelerate at a rate proportional to time. If after 6.3 sec the car has slowed to 45 mph, what distance has it traveled in ft
Answer:
Distance in ft = 597.57 feet
Step-by-step explanation:
As per the
First equation of motion
84 mph = 37.5514 m/s
45 mph = 20.1168 m/s
v-u = a* t
Substituting the given values, we get -
37.5514 m/s - 20.1168 m/s = a * 6.3
a = 2.76 m/s^2
Now as per Newton's third law of motion
v^2-u^2 = 2 *a*S
Substituting the given values, we get -
37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S
S = 182.142 Meters
Distance in ft = 597.57 feet
PLEASE HELP) Use a table of values to graph the function ƒ(x) = –3|x|. Select the correct graph below.
Answer:
B
Step-by-step explanation:
To find the answer you can just input a number for x and then you should come up with a y-value.
The graph mentioned in option B is correct.
We have the the following function -
f(x) = -3 |x|
We have to select the correct graph from the given ones.
State the property Modulus.For a function f(x) = x, which is real in nature -
f(x) = |x| = [tex]\left \{ {{-x\;\;\;for\;x < 0} \atop {x\;\;\;for\;x > 0}} \right.[/tex]
We will use this modulus property to solve the graph. We can further expand the function y = -3|x| as -
f(x) = -3|x| = [tex]\left \{ {{-3(-x)\;\;\;for\;x < 0} \atop {-3x\;\;\;for\;x > 0}} \right.[/tex]
For every negative value of x -
y = f(x) = 3x = negative value in a multiple of 3.
For every positive value of x -
y = f(x) = - 3x = negative value in a multiple of 3.
Hence, the graph mentioned in option B is correct.
To solve more questions on Modulus, visit the link below-
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Find the value of x. Write your answer in simplest form.
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
[tex](9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9[/tex]
Hope This Helps You ❤️Find the perimeter of an
octagon with each side
measuring 9 cm.?
In what place is the digit 1 in the number 607.912
hundreds
tens
tenths
hundredths
Answer:
tenths.........
Step-by-step explanation:
.....is the answer
-7 2/3 + ( - 5 1/2) + 8 3/4 =
Answer:
-53/12
Step-by-step explanation:
-7 2/3=-23/3
-5 1/2=-11/2
8 3/4=35/4
----------------
-23/3+(-11/2)+35/4
-23/3-11/2+35/4
-92/12-66/12+105/12
-53/12
Answer:
- 4 5/12
Step-by-step explanation:
- 7 2/3 + (-5 1/2) + 8 3/4
-7 2/3 - 5 1/2 + 8 3/4
-7 4/6 - 5 3/6 + 8 3/4
-13 1/6 + 8 3/4
-13 2/12 + 8 9/12 = -4 5/12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
There are 20 bears in a zoo. What will be their population after 3 years, if the population doubles each year?
Answer:
160
Step-by-step explanation:
20 x 2 = 40
40 x 2 = 80
80 x 2 = 160
It stops at 3 years.
Answer:
120
Step-by-step explanation:
20+40+60 = 120
If we double it, we have to keep adding 20 each year and stop at 3 so the answer is 120
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=5x−x2 about the x-axis over the interval [0,5].
V=?
please help me with 1 to 4!! <33
if you meant to put a link there is none
Does the equation y = 2(1/2)x represent exponential growth or decay
Answer:
Growth.
Step-by-step explanation:
y = 2(1/2)x is the same as y = x. as it multiplies and divides x by 2. y = x is exponential growth.
Hope that this helps!
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
The volume of the pyramid is 126in^3
Step-by-step explanation:
To find the volume of a pyramid you need to use this formula which is
V=lw·h/3
V=9·6·7/3
V=54·7/3
V=126in^3
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
L.C.M of 4 and multiples of 4 and 8
Fill in the blank for the special triangle.
HELPPPPPP
HELLLLLP
Answer:
[tex] \sqrt{2} [/tex]
Hope it helps
pls give brainliest
Please leave an explanation I’ll mark brainliest :)
Answer:
Because there are 9 sour straws in total and 3 blue sour straws, the probability of pulling out a blue sour straw would be 3/9 or 1/3. Because we aren't replacing it, that means that there's one less straw in the box so there should only be 8 straws left. Because there's 4 pink sour straws, the probability of pulling out a pink sour straw is 4/8 or 1/2.
Seventeen percent of U.S. residents are in their thirties. Consider a group of nine U.S. residents selected at random. Find the probability that three or four of the people in the group are in their thirties.
Answer:
0.1764
Step-by-step explanation:
This problem meets requirement that enables us to use the binomial probability relation :
Probability of success, p = 17% = 0.17
number of trials = 9
(1 - p) = 1 - 0.17 = 0.83
The binomial probability relation :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 9C3 * 0.17^3 * 0.83^6
P(x = 3) = 84 * 0.001606258054361897
P(x = 3) = 0.134925676566399348
P(x = 3) = 0.13492
P(x = 4) = 9C4 * 0.17^4 * 0.83^5
P(x = 4) = 126 * 0.000328992613544003
P(x = 4) = 0.041453069306544378
P(x = 4) = 0.04145
P(x = 3 or x = 4) = P(x = 3) + p(x = 4)
= 0.13492 + 0.04145
= 0.17637
= 0.1764
Hello can anyone help me with math pls
Answer:
speak
Step-by-step explanation:
it says i'm wrong, but i don't see why. could someone explain it? (or maybe the system's just incorrect)
Answer:
i think the answer should be 4y(m+3)/a^2
Step-by-step explanation:
Please help
NO LINKS!
24 on the left, 20 on top, 14 on right and bottom.
Answer:
Volume:
First lets find the height of the triangle:
14 divided by 2 = 7
7 is now your base since we split it apart into two right triangles.
24^2 + 7^2 = 625
625: 25^2 = 225 perfect!
25 is now your height:
25 x 14 = 350, 350 divided by 2 (x 1/2) = 175(area of triangle)
175(area of triangle) x 20(width) = 2100, around 3500 m^3
I really need help on this any help ?!?!? Extra points!?
Answer:
circumference = 2πr
diameter = 3ft, so radius =3/2 =1.5
=2π ×1.5=3π= 9.42ft
Answer:
here diameter =3 ft
radius=diameter/2
=3/2
=1.5 ft
now use formula 2 pie r where pie =3.14
=2*3.14*1.5 ft
=9.42 ft
Step-by-step explanation:
Hope this helps u!!
three hundred forty seven and three hundred ninety two thousandths in standard form
Answer:
347,392
Step-by-step explanation:
yes
what is the volume of a rectangle prism that is 1 1/2 inches by 2 1/4 inches by 4 inches?
Answer:
13.5 inches
Step-by-step explanation:
11.5 x 2.25 x 4
I could be wrong
Answer:
13.5 inches is correct :)
find thr volume of the iron usrd to make a hollow cylinder of hright 9cm and whose internal and external radius are 21cm and 28cm respectively
Answer:
Volume of iron used is 58982cm
Step-by-step explanation:
For hollow cylinder,
\bold{Height=9cm}Height=9cm
\bold{Internal \ radius=21cm}Internal radius=21cm
\bold{Externa \ radius=28cm}Externa radius=28cm
volume \: of \: cylinder = \pi \times {r}^{2} \times h \:volumeofcylinder=π×r
2
×h
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{=\frac{22}{7}×28^2×9}=
7
22
×28
2
×9
\bold{=22×4×28×9}=22×4×28×9
\bold{=71456cm^3}=71456cm
3
\bold{Volume \ of \ hollow \ part}Volume of hollow part
\bold{=\frac{22}{7}×21^2×9}=
7
22
×21
2
×9
\bold{=22×3×21×9}=22×3×21×9
\bold{=12474cm^3}=12474cm
3
\bold{Volume \ of \ iron \ used=}Volume of iron used=
\bold{Volume \ of \ cylinder \ with \ hollow \ part}Volume of cylinder with hollow part
\bold{- Volume \ of \ hollow \ part}−Volume of hollow part
{=71456-12474}=71456−12474
{=58982cm^3}=58982cm
3
\bold\red{Volume \ of \ iron \ used \ is \ 58982cm^3}Volume of iron used is 58982cm
3
Can someone help me rnnn please??
Answer:
(-6,2)
Step-by-step explanation:
when it asks for the scale factor all you do is take your coordinates and multiply it by whatever the question gives you. Like in this question you would multiply -3 and 1 by 2 and whatever the number comes out to be then thats your answers.
Sorry if the explanation isnt very good!
Jenny's mom is 33 years old. What percent of Jenny's mother's age Is Jenny's great-grandmother's age 90?
Answer:
answer: 36.67
Hope that helps!
Answer:
[tex]36\frac{2}{3}[/tex] %
Step-by-step explanation:
[tex]\frac{33}{90}: \frac{y}{100}[/tex]
y · 90 = 33 · 100
90y = 3300
90y ÷ 90 = 3300 ÷ 90
[tex]y=36\frac{2}{3}%[/tex]
Which two triangles are congruent? Complete the congruence statement.
Answer:
ΔSTU ≅ ΔBDC
Step-by-step explanation:
In ΔSTU and ΔBDC,
∠S ≅ ∠B [Given]
∠T ≅ ∠D [Given]
SU ≅ BC [Given]
Since, two corresponding angles and non included side of the angles are equal in measure.
Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]
travis buys a new baseball cap for $25. the tax rate is 8%.how much money does travis spend in all on the cap?
Answer: $2
Step-by-step explanation:
Is it possible to find two data sets A and B such that A has a greater median and mode, while B has a greater average and range? If you think the answer is yes, provide an example. If you think the answer is no, explain why not.
Answer:
For a data set of N elements:
{x₁, x₂, ..., xₙ}
The median is the middle value (or the average of the two middle values)
The average or mean is:
[tex]m = \frac{x_1 + ... + x_n}{N}[/tex]
The mode is the value that is more repeated.
The range is the difference between the largest value and the smallest value.
Now, let's try to construct two sets A and B that meet the required conditions:
Let's suppose two sets of 5 values each:
A = {2, 2, 3, 4, 5}
The median of A is 3.
The range of A is = 5 - 2 = 3
The average of A is: (2 + 2 +3 +4 +5)/5 = 16/5
And the value "2" appears two times, so the mode is 2.
Now, let's try to find a data set B such that:
The mode is smaller than 2 (so for example, we can have a "1" that repeats two times)
The median is smaller than 3 (let's have a median equal to 2)
The average is larger than 16/5
The range is larger than 3
This is ratter simple:
B = {1, 1, 2, 6, 9}
The median of B is 2.
The mode of B is 1
The range of B is: 9 - 1 = 8
The average of B is: (1 + 1 + 2 + 6 + 9)/5 = 19/5
So, we just found an example for two data sets A and B such that A has a greater median and mode, while B has a greater average and range.
So the answer is yes, it is possible.