Answer:
150.8 m³
48π m³
Step-by-step explanation:
V = πr²h/3
V = π · 4² · 9/3
150.8 m³
Convert 3.12 mm into cm, m and km.
Answer:
3.12mm= 31,2cm
3.12= 0.312m
3.12 = 0.000312km
Carlitos purchased $13.90 of roasted almonds to make his own almond milk.He purchased 5 pounds of almonds.Assuming the cost per pound is the same,what was the cost per pound of the almonds?
Maggie wants to have a 94 average in science class. Her last 5 test grades were 95, 98, 89, 92, and 94.
What score does Maggie need to get on her last science test in order to have a 94 as her final average?
A - 94
B - 95
C - 96
D - 97
Answer:
C. 96
Step-by-step explanation:
95 + 98 + 89 + 92 + 94 + 96 = 564
564/6 = 94
Answer:
C.) 96
Step-by-step explanation:
First of all, to find the average you need to add up the values given then divide the total by the number of values. Since we already have some of the values given which are 95, 98, 89, 92, and 94, we're going to add them up. Once you add them, you should get a total of 468. Now, we add another value that is in the answer choices because we're figuring out what Maggie needs to score on her science test to get a 94 as her final. We then would add 94 to the total which should give us 562. Next, we divide 562 by however many values we have which is 6. Once the total is divided by 6, the quotient should be 93.666.... As you can see, it doesn't give us 94, thus making A not the correct answer. You will continue to do this with the other answer choice questions until you get 94.
Here is a less wordy way to find the answer:
1.) Add up the values given
2.) Pick an answer choice and add the value to the total
3.) Divide by however many values are there
4.) Continue this until you find the correct answer
95 + 98 + 89 + 92 + 94 = 468
Pick an answer choice
468 + 96 = 564
Count the total values, including the answer choice
564 ÷ 6 = 94
6. Find the sum of the geometric series.
a1=-9 a5=-729 r=-3
Answer:
Sn = -9(1-(-3)^n)/4
Step-by-step explanation:
Since r < 1, the sum of nth term of a geometric sequence is expressed as;
Sn = a(1-r^n)/1-r
a is the first term
n is the number f terms
r is the common ratio
An = -9(1-(-3)^n)/1-(-3)
Sn = -9(1-(-3)^n)/4
Hence the sum of the nth term of the series is Sn = -9(1-(-3)^n)/4
Can someone help me with this ?
Find the principal that will yield a simple interest of Rs 9000 in 5 years at a rate of 6% per annum.
9514 1404 393
Answer:
₹ 30000
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . . principal P invested at rate r for t years
Fill in the values you know, and solve for the one you don't know.
9000 = P(0.06)(5)
9000/0.30 = P = 30000
The principal that will give ₹9000 in interest is ₹30000.
A =?
P= 9000
t = 5 yrs
r = 6% = 0.06
A = p(1+r)^t
A = 9000(1+0.06)⁵
A = 9000× 1.338
A = 12044 Rs.
The bear moves closer, so Rick decides to go to the other side of the lake. Since there is a forest, he can only spotpoint A when angle C measures 50'. What trigonometric function would Rick
use to find AB if he knows the measure of BC ?
Answer:
Tangent
Step-by-step explanation:
Given
[tex]\angle C = 50[/tex]
See attachment for complete question
Required
Function to calculate BC
If AB is known, BC is calculated as:
[tex]\tan(C) = \frac{AB}{BC}[/tex]
Substitute d for AB and 50 for C
[tex]\tan(50) = \frac{d}{BC}[/tex]
Make BC the subject
[tex]BC = d * \tan(50)[/tex]
Hence, BC can be found using tangent
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Answer:
C
Step-by-step explanation:
A store was trying to sell a bed set for 475$. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price) how much would the bed cost
Answer:
$324.19
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Price = $475
Price tag down = 35%
Tax = 5%
So, price after tag down = $475 - ( $475 × 35%)
= $475 - $166.25 = $308.75
Now, we calculate tax value after price tag down,
Tax value = $308.75 × 5% = $15.44
So, we can calculate the bed cost by using following formula,
Bed cost = Price after tag down + Tax value
= $308.75 + 15.44
= $324.19
zuma took a loan of 630 000 from the bank. he will repay the loan over 48 months at 9.5% per annum simple interest. how much interest will zuma pay on the loan
Answer:
Interest amount = 239400
Step-by-step explanation:
Below is the calculation of interest amount:
Given the loan amount or present value = 630000
Time period = 48 months or 4 years
Interest rate give = 9.5%
Total amount = P ( 1 + rt)
P = 630000
r = 9.5%
t = 4 years
Total amount = 630000 ( 1 + 9.5% x 4)
Total amount = 869,400
Interest amount = 869400 - 630000
Interest amount = 239400
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division
Answer:
[tex] \frac{x + 7 }{x - 3} [/tex]
Step-by-step explanation:
First factorize both expressions
[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]
Now you can cross out x+4
and you'll be left with
[tex] \frac{x + 7}{x - 3} [/tex]
Helpppppp pleaseeeer
Answer:
D is the answer
Step-by-step explanation:
Solve the trigonometric equation over the interval [0, 2π)
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
Show your work, thanks!
Answer:
θ = 0° , 60°
Step-by-step explanation:
[tex]\cos^2\theta + \sqrt{3}\sin \theta \cos \theta = 1[/tex]
Substract both the sides from 1.[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 1 - 1[/tex]
[tex]=> \cos^2\theta + \sqrt{3}\sin \theta \cos \theta - 1 = 0[/tex]
Rearrange the terms in L.H.S.[tex]=> (\cos^2 \theta - 1 )+ \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Replace the terms in brackets with '-sin²θ' by using the identity (sin²θ + cos²θ = 1).[tex]=> -\sin^2 \theta + \sqrt{3} \sin \theta \cos \theta = 0[/tex]
Take 'sinθ' common from the whole expression in L.H.S.[tex]=> \sin \theta(- \sin \theta + \sqrt{3}\cos \theta) = 0[/tex]
Now solve each part separately :-
1) [tex]\sin \theta = 0[/tex]
[tex]=> \theta = \sin^{-1}0 = 0[/tex]
2) [tex]-\sin \theta + \sqrt{3} \cos \theta = 0[/tex]
Divide both the sides by 'cosθ'.[tex]=> \frac{-\sin \theta + \sqrt{3}\cos \theta }{\cos \theta} = \frac{0}{\cos \theta}[/tex]
[tex]=> \frac{-sin \theta}{\cos \theta} + \frac{\sqrt{3} \cos \theta}{\cos \theta} = 0[/tex]
[tex]=> -\tan \theta + \sqrt{3} = 0[/tex]
Add both the sides with 'tanθ'.[tex]=> -\tan \theta + \sqrt{3} + \tan \theta = 0 + \tan \theta[/tex]
[tex]=> \tan \theta = \sqrt{3}[/tex]
[tex]=> \theta = \tan^{-1}\sqrt{3} = 60[/tex]
∴ θ = 0° , 60°
Answer:
Solution given:
[tex] \large{ {cos}^{2} \theta + \sqrt{3} sin \theta cos \theta = 1}[/tex]
[tex] 1-sin^{2} \theta+\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] 1-1 +sin^{2}\theta=\sqrt{3} sin \theta cos \theta = 1[/tex]
[tex] Sin\theta(sin\theta -\sqrt{3}cos\theta)[/tex]
Either
[tex] sin\theta=\sqrt{3} cos \theta [/tex]
[tex] \sqrt{sin\theta}{cos \theta}=\sqrt{3} [/tex]
[tex] Tan \theta =\sqrt{3}[/tex]
[tex] Tan \theta =Tan 60,Tan(180+60),Tan (360+60)[/tex]
[tex] \theta =60°,240°,420°[/tex]
in terms of π is
[tex] \theta =⅓π,\frac{4}{3}π,[/tex]
Or
[tex] Sin\theta=1[/tex]
[tex]Sin\theta=Sin0° ,Sin180°[/tex]
In terms of π is
[tex]\theta=0π,π[/tex]
so
[tex]\theta=0π,⅓π,π,\frac{4}{3}π,[/tex]
I need the answer nowwwwww right nowwwwww
Answer:
160 cm i think
Step-by-step explanation:
What's the volume to this prism?
Answer:
36 cubic inch
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
[tex]V=whl[/tex]
----------------------------------------------------------------------------------------------------------------
So:
6 × 3 × 2 = 36
----------------------------------------------------------------------------------------------------------------
Have a good day :)
what is the shape called??
Answer:
This is called a Trapezoidal prism
Number of faces: 5
Number of edges: 9
Number of vertices: 6
Hope this helps!!
what are the domain and range of the function represented by the set of the ordered pairs?
If you help me I give you brainlist
Step-by-step explanation:
I used Pythagoras Theorem to find the diagonal distance as placement of objects is right angles triangle.
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
a : Elm street
b : Birch street
c : Diagonal distance
c^2 = a^2 + b^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c = √289
c = 17 blocks
I added the total distance of the original route Joline took
= 15 blocks + 8 blocks
= 23 blocks
How much less distance does she have to walk if she took the diagonal route
= Total distance of original route - distance of diagonal route
= 23 - 17
= 6 blocks
Joline have to walk less 6 blocks if she took the diagonal route compared to her original route
please help! 20 points. if you guess or just comment to take my points i will make sure ur account gets banned. thanks! i want a simple explanation
Answer:
x = 9
Step-by-step explanation:
Of course I'll do very simple explanation!
every time you see a straight line (nondiagonal) it measures 180°.
so if we're trying to solve for x in this case, we'll subtract 180° - 40° = 140°.
Then use the statement to solve for x
[tex]10x+50=140[/tex]
[tex]10x-50[/tex] = - 50 Subtract 50 from both sides
[tex]10x[/tex] [tex]=[/tex] 90 Divide 10 from both sides
x = 9
I keep getting the wrong answers someone help please.
Answer:
1. 8.9
2. 14.5
3. 10.3
4. 18.8
5. 8.0
6. 15.0
(All to the nearest tenth)
The code is the sum of all missing sides
So adding all
=75.5
What are the coordinates of the point that is 1/5 of the way from A(-7,-4) to
B(3, 6)?
A. (-5,0)
B. (0,3)
C. (-5,-2)
D. (1,4)
Answer:
C. (-5, -2)
Step-by-step explanation:
I used
x1 + / (x2 - x1), y1 + / (y2 - y1)
so
-7 + 1/5(3 - (-7)
-7 + 1/5 (10)
-7 + 10/5
-7 + 2 = -5 (X)
then
-4 + 1/5(6 - (-4)
-4 + 1/5(10)
-4 + 10/5
-4 + 2 = -2 (Y)
(-5, -2)
Pleas help!
WILL THANKS YOUR ACCONT and MARK BRAINLIEST
1 2/3 -2/9st step by step
Answer:
stay safe healthy and happy...Help out on the bottom part
Answer:
x+2y=-3
x+2(-1)=-3
x-2=-3
x=-3+2
x=-1
A magazine collects these data measuring the battery life , in hours , of a sample of MP3 players : 5.7, 6, 6.1, 6.5, 6.8, 7.1, 7.4, 7.6, 8.1, 8.2 About how long does an MP3 player in the 50th percentile play ?
Answer:
the answer is 6.8
Step-by-step explanation:
The computation is shown below:
Since we have to determined the 50th percentile play
So,
= 50(nth value) ÷ number of observations
= 50(nth value) ÷ 10
= 5th value
= 6.8
Hence the answer is 6.8
The same is to be considered and relevant
atus
view
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 0 = Ź, find sin 0.
sin 0 =
V 역
Simplify the fraction.
Enter
Answer:
√7 / 4
Step-by-step explanation:
Trigonometrical identity are used to show the relationship between the sides and angles of a right angled triangle. Some trigonometric identities are:
sinΘ = opposite / hypotenuse, cosΘ = adjacent / hypotenuse, tanΘ = opposite / adjacent.
Given that cosΘ = 3 / 4
Therefore, cosΘ = adjacent / hypotenuse = 3 / 4
adjacent = 3, hypotenuse = 4. Let x be the opposite side, to get the opposite side, we use Pythagoras theorem:
opposite² + adjacent² = hypotenuse²
x² + 3² = 4²
x² + 9 = 16
x² = 7
x = √7
sinΘ = opposite/hypotenuse = √7 / 4
Find the surface area. 10 ft 3 ft 5ft
Answer:
5.7 feet i think
Step-by-step explanation:
what is the difference between 1089 and 4445
Answer:
If it is:
1,089-4,445= -3,356
but if it is the other way:
4,445-1,089= 3,356
Hope it helped!
Answer:
Its a Subtraction problem
4445-1089
=3356
A field in the shape of a quadrilateral has a perimeter of 166 m. A fence is being built along the field's perimeter. Determine the length of fencing needed for each side of the field.
Answer:
3x - 4 = 32
2x = 24
5x + 10 = 70
4x - 8 = 40
Step-by-step explanation:
Please find the complete question in the attached image
Perimeter = sum of sides of the quadrilateral
166 = 4x - 8 + 5x + 10 + 2x + 3x - 4
166 = 14x - 2
combine like terms
166 + 2 = 14x
168 = 14x
x = 12
substitute for x in each of the sides
3x - 4 = 3(12) - 4 = 32
2x = 2 x 12 = 24
5x + 10 = 5(12) + 10 = 70
4x - 8 = 4(12) - 8 = 40