Answer:
[tex]Angle = 96[/tex]
Step-by-step explanation:
Given
The frequency table
Required:
Determine the sectorial angle of "3"
First we need to determine the total frequency;
[tex]Total = 3 + 4 + 6 +8 + 5 + 4[/tex]
[tex]Total = 30[/tex]
The sectorial angle is calculated as thus;
[tex]Angle = \frac{Frequency}{Total\ Frequency} * 360[/tex]
Where Frequency of "3" = 8
So;
[tex]Angle = \frac{8}{30} * 360[/tex]
[tex]Angle = \frac{8* 360}{30}[/tex]
[tex]Angle = \frac{2880}{30}[/tex]
[tex]Angle = 96[/tex]
Hence; the sectorial angle of "3" is 96
Please Help me!! An 8 foot high camel is loping away from a streetlight. The camel is loping at 12 feet/second. The streetlight is 20 feet high. How fast is the camel’s shadow growing?
Answer:
Camel's shadow is growing at a rate of 8 ft/sec.
Step-by-step explanation:
Given:
Height of camel = 8 ft
Height of streetlight = 20 ft
Speed of camel = 12 ft / sec
To find:
How fast is the camel's shadow growing = ?
Solution:
First of all, have a look at the image attached for the situation as given in the question statement.
PQ be the streetlight.
AB be the camel.
Camel is loping away from the streetlight.
BT will be the shadow of the camel.
We are given that speed of camel = 12 ft / sec
And we know that Speed is the Rate of change of distance w.r. to time.
i.e. as per the image, we are given:
[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]
And we have to find the value of:
[tex]\dfrac{ds}{dt} = ?[/tex]
(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)
Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:
Ratio of corresponding sides will be same.
[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]
Now, differentiating w.r.to t:
[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]
Camel's shadow is growing at a rate of 8 ft/sec.
Select all decimals that are equivalent to (9 x 100) + (2 x 10) + (3x ) + (5 x it).
A. 92.35
B. 920.350
C. 902.35
D. 92.350
D E 920.35
F. 920.035
Answer:
the answer to the question is letter E I believe
3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
Find out more about 'Exponents' here:
https://brainly.com/question/14404700
Perform the following calculation and express the answer in scientific
notation: 1.2 x 10^-2 m x 3.0 x 10^-6 m =
Answer:
Hey there!
1.2 x 10^-2 times 3.0 x 10^-6 = 3.6 x 10^-8 m^2.
Hope this helps :)
a contractor is in charge of hiring people for construction project the number of days it would take to complete a project with ex full time workers can be found using the function f (x) equals 1 26/x.assume once workers are assigned to the project no workers may be added or taken out the project until it is finished find and interpret the given function values and determine an appropriate domain for the function
This is about understanding domain of a function.
The domain of the function is x is a set of positive integers.
We are given the function;f(x) = 126/x
Where;
f(x) is the number of days it would take to complete a project with x number of workers
x is number of workers it will take to complete the project.
We want to find the domain for the given function.Domain is defined as the set of all possible input values for which the function is defined.
Let's try x = 0 workers.
f(x) = 126/0 ; this is undefined and so x cannot be zero.
Let's try x = 1 worker
f(x) = 126/1 = 126 days
Let's try x = 10 workers
f(x) = 126/10 = 12.6 days
Let's try x = 100 workers
f(x) = 126/100 = 1.26 days
We see that every positive integer is a possible value of x that can make the function defined. Since 0 and negative numbers will make the function invalid.
Thus, the domain of the function is x is a set of all positive integers.
Read more at; brainly.com/question/2052994
What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural
Answer:
-7 is a Negative Number, which is also an integer.
Step-by-step explanation:
Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.
Help pls will give brainliest
Answer:
The surface area of the rectangular prism is 292 cm²
Complete the statement. The line x = −2 is _______.
Answer:
see explanation
Step-by-step explanation:
The line x = - 2
Is a vertical line parallel to the y- axis
It passes through all points with an x- coordinate of - 2
Please solve the one w the underline please ❤️❤️
Answer:
6 ÷ 6 + 6 x 6
Step-by-step explanation:
Hope this helps :D
How would I solve this question? y = -1 1/8 - 7/8x -4x + 9y = -22 x = ?, y = ?
If [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{4}[/tex], [tex]\frac{y}{z}[/tex] = [tex]\frac{2}{3}[/tex], [tex]\frac{z}{w}[/tex] = [tex]\frac{5}{8}[/tex], what is the value of [tex]\frac{x+y+w}{w}[/tex]?
Please help me with this geometry question:((
Answer:
a.ans=(1,3)
b.ans=(1,2,3,4,5,6,7,9,11,12)
c.ans=(1,3,5,7,9,11)
Step-by-step explanation:
Between A and C (1,3) are common.So it is the intersection.
(1,2,3,4,5,6,7,9,11,12) are all the number belongs to set A and set C.So it is called the union of both sets.
C denotes the complement and the number except set b belong to the complement.
PLEASE HELP! I need this answered ASAP ;-; (Question is shown below in the attachment)
Answer:
3.14 units²
Step-by-step explanation:
The key realization here is that this shape is one quarter of a circle.
Therefore, it's area will be [tex]\frac{1}{4}[/tex] of the whole circle's area.
So, let's first find the area as if this were a whole circle.
The formula is [tex]\pi r^2[/tex], and we know that the radius, r, is 2. So:
[tex]\pi\cdot2^2\\\\\pi\cdot4\\\\3.14\cdot4\\\\12.56[/tex]
Now we need to find one fourth of this, we can do this by dividing by 4.
[tex]12.56\div4=3.14[/tex]
Hope this helped!
Answer:
pi units squared
Step-by-step explanation:
(cant find pi sign)
(pi times r^2)/4
4pi/4
pi
Please help I don't understand this problem!
Answer:
-17
Step-by-step explanation:
First thing to do in this equation is to multiply both sides by 22.
This becomes, -5+x=-22
Add 5 to both sides.
x=-17
Answer:
x = -17
Step-by-step explanation:
-5+x
-------- = -1
22
Multiply each side by 22
-5+x
-------- * 22= -1 *22
22
-5 +x = -22
Add 5 to each side
-5+x +5 = -22 +5
x = -17
The height of a kicked football can be represented by the polynomial –16t2 + 47t + 3 = 0, where t is the time in seconds. Find the time in seconds of when the football hits the ground.
Step-by-step explanation:
-16t2 + 47t + 3 = 0
-16t2 + 48t - t + 3 = 0
-16t( t - 3) - 1 ( t - 3) = 0
-16t - 1 = 0. t - 3 = 0
-16t = 1 t = 3
t = 1/ - 16.
On a map the scale showing is 1 inch by 5 mi if a park is 75 square miles what is the area of the park on the map. The parks area is _____ square inches on the map
Answer: 15 square Inches
Step-by-step explanation: I believe you should divide 75 and 5(75mi÷5mi=15in) to get 15in.
Answer: 3 square inches.
If the park is 25 square miles, it could be 5×5 miles. If the scale is 1 inch = 5 miles, that would be 1×1 inch or 1 square inch on the map. Since 75 is 3×25, it will be 3×1 square inches on the map.
Step-by-step explanation: Remember that the scale represents linear measurements. For area, you must square the linear "sides" to get the number of actual square units represented by a square unit on the map.
PLEASE HELP ASAP WILL GIVE BRAINLY!!!!!!
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Answer:
B: The discriminant is equal to zero which means it has one real number solution
Step-by-step explanation:
Hello Again!!
Your right answer will be is B. The discriminant is equal to 0, which means the equation has one real number solution.
For this case we have the following quadratic equation:
2x^2 - 8x + = 0
Where:
a = 2
B = -8
c = 8
The discriminant is given by:
d = b^2 - 4(a)(c)
Substituting the values we have:
d = (-8)^2 - 4(2)(8)
d = 64 - 64
d = 0
So, Your best answer choice is B.
Good Luck!!
•Comments•
Ask if you need help! Because I'm glad to help you.
By ☆Itsbrazts☆
The Greenbaum family agreed to pay for 3 months of an online TV service in exchange for a $5 credit on the bill each month. If the Greenbaums spend a total of $11.85 on the service over the 3 months, what is the normal price of one month of online TV service?
$5.00
$6.85
$8.95
$30.55
(k) 2 cos 16A + 1 = (2 cos 2A - 1).(2 cos 2A + 1).(2 cos 4A-1).(2cos 8A-1).
I need help to prove this......
Qno. k.
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
↓ ↓ ↓ ↓
factor last factor 2nd factor 1st
Proof LHS → RHS:
Given: 2 cos16A + 1
let α = 8A, then 2·cos2α + 1
Identity: 2(2cos²α - 1) + 1
Distribute: 4cos²α - 2 + 1
Simplify: 4cos²α - 1
Factor: (2cosα - 1)(2cosα + 1)
Substitute: (2cos8A - 1)(2cos8A + 1)
let β = 4A, then 2·cos2β + 1
Identity: 2(2cos²β - 1) + 1
Distribute: 4cos²β - 2 + 1
Simplify: 4cos²β - 1
Factor: (2cosβ - 1)(2cosβ + 1)
Substitute: (2cos4A - 1)(2cos4A + 1)
let Ф = 4A, then 2·cos2Ф + 1
Identity: 2(2cos²Ф - 1) + 1
Distribute: 4cos²Ф - 2 + 1
Simplify: 4cos²Ф - 1
Factor: (2cosФ - 1)(2cosФ + 1)
Substitute: (2cos2A - 1)(2cos2A + 1)
(2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) [tex]\checkmark[/tex]
Answer:Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
Step-by-step explanation:
Two-ninths of the total number of batteries in Richard's desk drawer is made
up of 16 batteries. How many batteries are there in the drawer?
You are told 2/9 = 16
Let total number of batteries = x
So you now have 2/9x = 16
To find x divide both sides by 2/9
X = 72 total batteries
Awnser
72
i dunno how to explain i did it in my head
write the slope- intercept form of the equation for the line.
Y=2x-1
Y=1/2x-1
y=-2x-1
y=1/2x+1
Answer:
The answer will be y=2x-1
Step-by-step explanation:
With the graph we are able to use the formula rise/run, which means we count down from the top point, and then over, and then divide.
Going down is 4 points, and over is 2.
4/2 is 2.
This leaves us with two answers. With this information, we look at the direction the graph is going, it is going upwards, making it positive. Which means that your answer is the first one. Plus the line goes through -1.
Thank you, if you need any more help let me know.
you move right 3 units and left 4 units. you end at (-3,-1). where did you start?
Answer:
(-2,-1) is where u start
Step-by-step explanation:
Answer:
(-2,-1)
Step-by-step explanation:
The point we ended at is (-3,-1)
We have moved 4 units left so we will add 4 to -3
● -3+4 = 1
We have moved 3 unirs right so we will substract 3 from 1
● 1-3 = -2
So the initial point was (-2,-1)
HELPP! QUICKKKK! Lol
Problem:
Last year I attended the Jurassic World Dinosaur Exhibit with my family and my friend and her family. My
family includes 2 adults (including myself) and my child we paid a total of $94. Her family includes 2
adults and 2 children she paid a total of $110. What was the admission price for an adult ticket and how
much was it for the admission price for a child ticket?
Let a represent adult ticket price
Let c represent child ticket price
Answer:
Child ticket = $16.
Step-by-step explanation:
Let adult tickets = a;
child ticket = c.
2a + c = 94 — eq no. 1,
2a + 2c = 110 — eq no. 2,
then,from eq 1,
c = 94 - 2a. —eq no. 3.
Substitute eq 3 into eq 2,
2a + 2(94 - 2a) = 110
2a - 4a = 110 - 188
-2a /-2 = -78 / -2
a = 39.
Substitute value of a into eq 3,
c = 94 - 2(39)
= 94 - 78
c = 16.
Thus, child ticket = $16.
20x-4y=40
Find the slope of the linear equation
Answer:
the slope is 5
Step-by-step explanation:
Solve for y
20x -4y = 40
Subtract 20x from each side
20x-20x -4y = -20x +40
-4y = -20x+40
Divide each side by -4
-4y/-4 = -20x/-4 +40/-4
y = 5x -10
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 5
Solve for y:
20x - 4y = 40
Subtract 20x to both sides
-4y = 40 - 20x
Divide -4 to everything
y = -10 + 5x
Therefore, the slope is 5
Best of Luck!
can somewon help me plz can somewon help me
Hey there! I'm happy to help!
Let's look at our diameters.
[tex]1*10^2^1\\5*10^2^2[/tex]
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
[tex]\frac{5*10^2^2}{1*10^2^1} \\[/tex]
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
[tex]\frac{5*10^2^2}{1*10^2^1} = 5*10=50[/tex]
Therefore, your answer is 50.
Have a wonderful day! :D
Find f-1.
f(x)=4 log2 (x – 7)
Answer:
f(1) = 10.33985 + 18.1294406 i
Step-by-step explanation:
f(1) = 4log2(1-7)
f(1) = 10.33985 + 18.1294406 i
Find the measure of b+d.
Answer:
=90
Step-by-step explanation:
because d=32° and b=58°
this is because corresponding angles are equal
Answer:
Step-by-step explanation:
b+d =90 degree
hope it helps
if all the possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x? (the shaded part in the number line is 0.5 to 1.5, the whole number line segment is from 0 to 3)
Answer:
can i see a picture of the number line?
Step-by-step explanation:
15 POINTS IF SOMEONE ANSWERS QUICK
Answer:
The 16 cases will fit the box as shown.
Step-by-step explanation:
One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.
Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.
1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.
2) The horizontal length of each case is 14.2 cm. Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.
3) The vertical measurement of each case is 19.3 cm. The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.
All indications are that the 16 cases will fit comfortably inside the box.
Answer:
16 discs capacity of the cuboid.
Step-by-step explanation:.
for simplicity...
i would just divide 26cm to 1.6cm = 16 .25
therefore, 16 discs capacity of the cuboid.
A formula to find the period, T, of cyclic phenomena based on the frequency, F is T= 1/F
Solve the formula for F in terms of T
Answer:
F = 1/T
Step-by-step explanation:
In order to solve for F, you would need to isolate F.
(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side
FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated
F = 1/T
Hope this helps!
Answer:
F = 1/T
Step-by-step explanation:
T= 1/F
USING CROSS MULTIPLICATION TECHNIQE
T(F) = 1
DIVIDE BOTH SIDES BY T
F = 1/(T)