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°.
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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
Which of these functions has exactly two different zeros? Please help
three hundred forty seven and three hundred ninety two thousandths in standard form
Answer:
347,392
Step-by-step explanation:
yes
Hello can anyone help me with math pls
Answer:
speak
Step-by-step explanation:
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.
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:
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
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
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=?
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]
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.
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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!
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
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
L.C.M of 4 and multiples of 4 and 8
-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
Fill in the blank for the special triangle.
HELPPPPPP
HELLLLLP
Answer:
[tex] \sqrt{2} [/tex]
Hope it helps
pls give brainliest
please help me with 1 to 4!! <33
if you meant to put a link there is none
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!!
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 ❤️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 :)
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!
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.
Find the perimeter of an
octagon with each side
measuring 9 cm.?
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]
.pl.help meerrrrreeeeee
they are website explaining this so you can grasp I will share the link
Graph the image of this triangle after a dilation with a scale factor 1/2 centered origin
i dont know this questions
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
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