Answer:
117.29 cubic feet
Step-by-step explanation:
* means multiplied by
V=π*r^2*(h/3)
V=π*4^2*(7/3)
V=3.14*16*(7/3)
V≈117.29
Each month Edward budgets $1860 for fixed expenses, $860 for living expenses, and $259 for annual expenses. His annual net income is $32,508. Which statement best describes his monthly budget?
It shows a deficit of $180
It shows a surplus of $261
It shows a deficit of $261
It is balanced
SHOW WORK PLLZ
(Will give brainiest)
Answer:
It shows a deficit of $261
Step-by-step explanation:
$32,508/12 = $2709 per month
$2709 - ($1860 + $860 + $259) = -$270
I'm assuming you put a typo somewhere, but the closest answer is the deficit of $261
Please help ASAP!!!! 20 PTS
Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to breach the fort's circular wall, and Marko must provide the angle at which the cannon should turn in order to shoot the attacking bandits. The bandit is attacking as pictured in the figure below:
The unit circle is shown. There is an angle 30 degrees counterclockwise from the positive y axis. An image of a bandit is shown at the point of intersection between the angle and unit circle.
What is the angle of fire in standard position on the unit circle in both degrees and radians?
120°; pi over 6 radians
120°; 2 pi over 3 radians
30°; pi over 3 radians
30°; 2 pi over 3 radians
The angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.
How to calculate the angle?
It should be noted that the image shows the shooting angles arrangements. Also, π = 180°.
In this case, the value of the angle will be:
= 12π/18
= (12 × 180) / 18
= 12 × 10
= 120°
Therefore. the angle of fire in the standard position will be B. 120°; 2 pi over 3 radians.
Learn more about angles on:
https://brainly.com/question/25770607
maths j2 a road is 300km long is drawn to a scale of 1cm represents 50km . what is it's length on drawing?
Answer: 6cm.
Step-by-step explanation:
Strategy 1 (in-head thinking)
300 divided by 50 would be 6, multiply 6 by 1 and get 6cm.
Strategy 2 (proportions)
First, set up a proportion.
We know that 1cm = 50km, so we put them on a fraction (whichever is denominator/numerator doesn’t affect the process)
However, we don’t know how much cm equals 300km, so we turn that into a variable, in this case x.
1cm x cm
——— ———
50km 300km
To solve a proportion, go diagonal to where the variables have already been filled in. You can’t so 50km and x cm, as you don’t know x. You can do 300km however. To start, multiply 1 and 300, to which you get 300. Then, multiply 300 by the 50km and you’ll get x. That’ll equal to 6.
So in conclusion, your answer is 6.
Determine the solution to the system of equations graphed below and explain your reasoning complete sentences: glx) = -2x - 3 f(x) - kx+1l-4
Answer:
I hope it helps you
PLEASE MARK ME BRAINLIESTa furniture store sells kits that customers use to build cabinets. each kit contains 18 screws and a set number of boards. part B what is the value of x in jarreds equation
Answer:
x times square then subtract
6 x 5/8 in simplest form
ima need help, I'm confused about this depth stuff
[tex]v (total)= v(r \: p \: ) + v(c)[/tex]
[tex]v(t) = lwh + \pi {r}^{2} h[/tex]
[tex]v(t) =( 18 \times 10 \times 5 )+( 3.14 \times {5}^{2} \times 5) \\ [/tex]
[tex]v(t) = 900 + 392.50[/tex]
[tex]v(t) = 1292.50 \: \: \: {ft}^{3} [/tex]
Depth is also referred as height.
Volume of the rectangular part = l b h
= 18 × 10 × 5
= 900 ft³
Volume of two semi circular parts = 4 / 3 π r³
= 4 / 3 × 5 × 5 × 5 × π
= 523.8 ft³
Total Volume of the figure = 1423.8 ft³
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!!!
Answer:
4,000
Step-by-step explanation:
The value goes down by around 2,000 every year and 4,00 is the closest answer of any of them.
Complete two expressions that have the same product as 3×5/12
Answer:
1. 5/(2+2)= 5/4= 1.25
2. 5/(2x2)= 5/4= 1.25
Step-by-step explanation:
3x5/12= 15/12= 1.25
write down 3 numbers that are between 1.9 and 2
Answer:
1.91, 1.92, 1.93
Step-by-step explanation:
They are all between 1.9 and 2
Integrate :-
[tex]:\implies \: \boxed{ \displaystyle \int \sf{ \frac{1}{sin {}^{2} \bigg(\dfrac{x - 2}{3} \bigg) } \: dx }} \: \red\bigstar[/tex]
Recall that
[tex]\dfrac{d}{dx}\left[\cot(x)\right] = -\csc^2(x)[/tex]
so that
[tex]\displaystyle \int \frac{dx}{\sin^2\left(\frac{x-2}3\right)} = \int \csc^2\left(\frac{x-2}3\right) \, dx = \boxed{-3 \cot\left(\frac{x-2}3\right) + C}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Your \ exercise \ is \to\int\limits \frac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx } \end{gathered}$}[/tex]
[tex]\boldsymbol{Replaces \ u=\dfrac{x-2}{3} \longmapsto \dfrac{du}{dx}=\dfrac{1}{3} \longmapsto \ dx=3 \ du }[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}[/tex]
[tex]\boldsymbol{\sf{Simplify }}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=3\int\limits csc^2(u)du } \end{gathered}$}[/tex]
[tex]\boldsymbol{\sf{Solving \ now }}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\int\limits csc^2(u)du } \end{gathered}$}[/tex]
[tex]\boldsymbol{\sf{This\:is\:a\:standard\:integral. }}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}[/tex]
[tex]\boldsymbol{\sf{We\:replace\:the\:integrals\:already\:solved. }}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=\int\limits \frac{3}{Sin^2(u) }du } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-cot(u)} \end{gathered}$}[/tex]
[tex]\boldsymbol{The\:substitution\:is\:undone\: u=\dfrac{x-2}{3} ;}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{=-3cot\left(\frac{x-2}{3}\right) } \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf Answer \longmapsto \bf{\int\limits \dfrac{1}{sin^2\left(\dfrac{x-2}{3}\right) }dx }=\boldsymbol{ -3cot\left(\frac{x-2}{3}\right)+C } \end{gathered}$}}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \underline{\bf{\green{I\:hope \ it \ helps \ you..... Regards }}} \end{gathered}$}[/tex]
Please help math experts I am struggling and can’t understand my teachers writing thank you
Here's your Question →
Setup an equation and solve the word problem Below.____________________________________
Que → The hieght of The statue of Liberty is 93m. This is about 27% of the Hancove building in Chicago. What is approximate Hieght of Hancove Building?
Answer → Let height of Hancove Building be H.
Now according to question, 27% of H = 93m
27 / 100 (H) = 93m
H = 93 x 100 ÷ 27
H = 344.44m
Therefore, the approximate Hieght of Hancove Building is around 344.4m
Answer:
344.44 mStep-by-step explanation:
Let the missing height is h.
We have 93 m is 27% of h, need to find the value of h
27% of h is 0.27h, the equation we need is below
0.27h = 93h = 93/0.27h = 344.44“A number decreased by 16 is
Answer:
Step-by-step explanation:
A number decreased by 16 is − 3
hope this helps.
mark me brainliest please.
Find the length of segment AB where A is (-2,3) and B is (4,-5)
Answer:
10
Step-by-step explanation:
here it is
the explanation is in the photo
Three local stores are each selling their videos game consoles for the same price the table below shows how many consoles have been sold at each of the stores and the total sales dollars for the consoles.
Applying proportions, it is found that the discounted price of each console at store B is given by:
B. $210.80.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, at store B, 15 consoles sold for a total of $3,720, hence the price per console is of:
P = 3720/15 = $248.
A discount of 15% is applied, which means that the new price is 85% of the original price, hence:
P = 0.85 x 248 = $210.8.
Which means that option B is correct.
More can be learned about proportions at https://brainly.com/question/24372153
!!
8 cm
20 cm
O 503 cm
O 4,021 cm
O 1,005 cm?
O 1,407 cm?
Answer:
1,005cm²
Step-by-step explanation:
First, you need to know the area of a cylinder and also the value of pi.
Area = 2πrh
pi = π = 3.14
r = radius = 80cm
h = height of cylinder = 20
now let's substitute
[tex]2 \times 3.14 \times 80 \times 20 = 1004.9{cm}^{2} [/tex]
but to the nearest square centimetre is.
1005cm²
because the number after the point is more than 4 so we add one to the last number before the point.
Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.
27cm Height
15cm diameter
Choices
A. 1,271.7 cm3
B. 4,581.2 cm3
C. 1,527.1 cm3
D. 18,324.8 cm3
Answer:
[tex]1590.6cm {}^{3} [/tex]
Step-by-step explanation:
[tex]volume \: of \: a \: cone \: v = \frac{1}{3}\pi \: r {}^{2} h \\ radius = \frac{diameter}{2} = \frac{15}{2} = 7.5 \\ v = \frac{1}{3} \times 3.42 \times (7.5) {}^{2} \times 27 \\ v = \frac{3.142 \times 7.5 \times 7.5 \times 27}{3} \\ v = \frac{4771.9125}{3} = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest[/tex]
If vector A=xz³î-2x²yj+2yz⁴k find CURL A at the point [1, -1, 1]
Given that
[tex]\vec A = xz^3 \, \vec\imath - 2x^2 y \, \vec\jmath + 2yz^4 \, \vec k[/tex]
its curl is
[tex]\displaystyle \nabla\times\vec A = \left(\frac{\partial\left(2yz^4\right)}{\partial y} - \frac{\partial\left(-2x^2y\right)}{\partial z}\right) \, \vec\imath - \left(\frac{\partial\left(2yz^4\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\frac{\partial\left(-2x^2y\right)}{\partial x} - \frac{\partial\left(xz^3\right)}{\partial y}\right) \, \vec k[/tex]
[tex]\nabla\times\vec A = 2z^4 \, \vec\imath + 3xz^2 \, \vec\jmath - 4xy \, \vec k[/tex]
so that at the point (1, -1, 1), the curl is
[tex]\nabla\times\vec A \bigg|_{(x,y,z)=(1,-1,1)} = \boxed{2 \, \vec\imath + 3 \, \vec\jmath + 4 \, \vec k}[/tex]
Hi there please help me on this
Answer:
[tex]\tan(X)=\dfrac{77}{36}[/tex]
Step-by-step explanation:
First we need to find the length of side WX.
To do this, use Pythagoras' Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
[tex]\implies WX^2+77^2=85^2[/tex]
[tex]\implies WX^2=85^2-77^2[/tex]
[tex]\implies WX=\sqrt{85^2-77^2}[/tex]
[tex]\implies WX=36[/tex]
Now use the Tan trig ratio:
[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]
where:
[tex]x[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleFrom inspection of the triangle,
[tex]x[/tex] = ∠XO = 77A = WX = 36Substituting these values into the tan trig formula:
[tex]\implies \tan(X)=\dfrac{77}{36}[/tex]
Therefore, the tangent of ∠X is [tex]\dfrac{77}{36}[/tex]
Answer:
77 / 36
Step-by-step explanation:
Finding the adjacent side
WX² = VX² - VW² [Pythagorean Theorem]WX² = (85)² - (77)²WX² = 7225 - 2929WX = √1296WX = 36Tangent of ∠X
Opposite side / Adjacent sideWX / VW77 / 36Explain how to obtain the equation 3x=6 from the given system.
-x+y=-3
6x-3y=15
PLEASE HELP ASAP
Answer:
Step-by-step explanation:
pls help i have the first part done it’s just confusing
We can represent the pattern by a general sequence:
u(n+1)=8n+2
u(1)=8(10)+2
u(1)=82
u(2)=8(82)+2
u(2)=658
....
Answer:
10:82:658:5266:42130
which expression entered into a graphing calculator will return the probability that a data value in a normal distribution is between a z score of -1.99 and a z score of 0.18
The expression that returns the probability that a data value in a normal distribution is between a z- score of -0.18 and a z-score of 1.99 is (d) normalcdf(-0.18, 1.99)
How to determine the expression?To calculate the probability between two z-scores is to calculate the area between the z-scores.
This is done using the following syntax:
normalcdf(lower bound, upper bound)
From the question, the lower and the upper z-scores are -0.18 and 1.99
So, the formula would be normalcdf(-0.18, 1.99)
Hence, the expression is (d)
Read more about normal distribution at:
https://brainly.com/question/25991460
Building A is 200 feet shorter than Building B. The total height of the two buildings is 1530 feet. Find the height of each building.
Answer:
B Building = 865 feet, A Building = 665 feet.
Step-by-step explanation:
If you divide 1530 by 2 you get 765, if you add 100 to 765, and subtract 100 from 865, there is a 200 feet difference from each of the buildings.
What is 0.4 multiplied by 3.2?
Answer:
1.28!
Step-by-step explanation:
hope this helps, let me know if you need an explination! :)
John types 90 words in 2 minutes. Enter the number of words John types in 4 minutes at this rate
Answer:
360
Step-by-step explanation:
9x4=36 add the zero you didn't use
In FGH,FH =7 ft,FG=12 ft and m
Answer:1) In Δ FGH,
FH=7 ft, FG=12 ft,
∠F=70 degrees
By "Law of cosines":
So,By applying Law of Sines , we get that
Hence, Option 'D' is correct.
2) In Δ XYZ,
XY=14, ∠Y=22°, and XZ=26
By using "Law of sines":
so, X = 147° , Y = 22° , Z = 11.6°
Step-by-step explanation:
Help help help help math
When will the graph meet the line y=5?
Answer:
Step-by-step explanation:
The graph of the linear equation cuts the x-axis at (5,0)
Please answer urgent!
Reason:
Triangles A, B and E all have the angles 68 and 79 with a 3 unit side sandwiched between them. We can use the angle side angle (ASA) congruence theorem to prove those three triangles are identical copies of each other. They are rotated, reflected and shifted versions of one another. These tranformations are known as rigid transformations or isometries.
On the other hand, we can rule out choice C because the side between the angles is not 3 units long (even though the angles do match up). The same goes for choice D.
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Fruit-O-Rama sells dried pineapple for $0.25 per
ounce Mags spent a total of $2.65 on pineapple.
How many ounces did she buy?
OZ
Answer:
10.6 oz
Step-by-step explanation:
X × 0.25 = 0.265
x= 2.65/0.25= 10.6 oz