Answer:
3/25
Step-by-step explanation:
1/5 x 3/5 = 3/25
Write the ratios for sin A and cos A.
A
26
B
10
C
24
Not drawn to scale
help with applications of surface area and volume problems! will reward brainly, 10th grade geometry
Answer:
Question 1:
Rectangular prism requires [tex] 10.185\: in^2[/tex] more material to make than the cylinder.
Question 4:
The cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.
Step-by-step explanation:
Question 1:
In order to select the correct answer, we should find the surface areas (SA) of both cylindrical as well as rectangular containers. Let us start...For cylindrical container:h = 10 in & r = 4.5 in[tex] SA (Cylindrical \:container) = 2\pi rh+2\pi r^2-\pi r^2[/tex] ([tex]\pi r^2[/tex] is subtracted because the container is open from the top)[tex] SA (Cylindrical \:container) = 2\pi rh+\pi r^2[/tex] [tex] SA (Cylindrical \:container) = 2(3.14)(4.5)(10)+3.14 (4.5)^2[/tex] [tex]\implies \red{\boxed{\bold{SA (Cylindrical \:container) =346.185\: in^2}}}[/tex] Next, we find the surface area of the rectangular container which has following dimensions.[tex] l = 8\: in,\: b = 8\: in,\: h= 8.5\: in[/tex][tex] SA ( rectangular\: container) = 2(lb+bh+lh)-lb[/tex] (lb is subtracted because container is open from the top)[tex] \implies SA ( rectangular\: container) = lb+2(bh+lh)[/tex][tex] \implies SA ( rectangular\: container) = 8*8+2(8*8.5+8*8.5)[/tex][tex] \implies \purple{\boxed{\bold{SA ( rectangular\: container) = 336\: in^2}}}[/tex]Here, SA (Cylindrical container) > SA (rectangular container)[tex] Difference = 346.185 - 336 = 10.185\: in^2[/tex][tex]\bigodot[/tex] This means: rectangular prism requires [tex]\bold{10.185\: in^2}[/tex] more material to make than the cylinder.Question 4:
[tex] V_{Cylinderical\: container}= \pi r^2 h [/tex][tex] \implies V_{Cylinderical\: container} =3.14 (4)^2 (9)[/tex][tex]\implies\red{\boxed{\bold{V_{Cylindrical\: container}=452.16\: in^3}}}[/tex][tex]V_{rectangular\: container}= l*b* h[/tex][tex] \implies V_{rectangular\: container}= 7*7* 8[/tex][tex] \implies \orange{\boxed{\bold{V_{rectangular\: container}= 392\: in^3}}}[/tex] Here, [tex] V_{Cylinder\: container}>V_{rectangular\: container}[/tex][tex] Difference = 452.16 - 392= 60.16\: in^3[/tex][tex]\bigodot[/tex] Thus, the cylindrical container holds [tex]\bold{60.16\: in^3}[/tex] more than the rectangular prism.What is 70% of 30? Question 4 options: A 7 B 15 C20 D 21
Answer:
Last option, 21Step-by-step explanation:
I calculated it.
Answer:
the answer is 21
21
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answer:
2143.57 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 2143.57 cm³Can you help me? I don’t understand this question at all. It would really help.
Answer:
9.6 ft.
Step-by-step explanation:
Given they are similar, take the sides of the triangles in proportion.
AB/DE = AC/DF8/5 = AC/6AC = 1.6 x 6AC = 9.6 ft.Find the Volume of the Triangular Prism Below.
a.
416 m
b.
432 m
c.
624 m
d.
864 m
Answer:
[tex]volume \: of \: triangular \: prism = \frac{1}{2} \times b \times h \times h \\ = \frac{1}{2} \times 8 \times 12 \times 9 \\ = 432m {}^{3} [/tex]
12% of 59.7 is what number?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{12\% of 59.7}}{\left( \cfrac{12}{100} \right)59.7}\implies 7.164[/tex]
e + 20 ≥ 33
Please help me solve this!
( solving one-step inequalities )
Answer:
=> e is greater than Or equal to 13
Answer:
Hey I don't know if this helps but I your trying to see if the equality is true of false it would be false
hELP ME PLSSSSSSSSSSSSSSSS!!!
Express x^2-5x+8 in the form (x-a)^2+b where a and b are integers
Answer:
[tex]f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
Step-by-step explanation:
Complete the square
[tex]f(x)=x^2-5x+8\\\\f(x)-1.75=x^2-5x+8-1.75\\\\f(x)-1.75=x^2-5x+6.25\\\\f(x)-1.75=(x-2.5)^2\\\\f(x)=(x-2.5)^2+1.75\\\\f(x)=(x-\frac{5}{2})^2+\frac{7}{4}[/tex]
What is the slope of the line represented by the equation f(x)=3/2x- 4
Answer:
3/2
Step-by-step explanation:
it's the slope because it's before x.
A side of the triangle below has been extended to form an exterior angle of 70°. Find
the value of x.
The exterior angle and x form a straight line which need to equal 180.
x = 180-70 - 110
Answer: x = 110
For the given triangle the required measure of angle is 110°.
Use the concept of a triangle defined as:
A triangle is a three-sided polygon, which has three vertices and three angles which has a sum of 180 degrees.
Since we know that,
The angle of a line is 180 degrees.
Therefore, for the given triangle,
x° + 70° = 180°
Subtract 70° on both sides,
x° = 110°
Hence,
The measure of x° is 110°.
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Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
O A. y = 4x - 23
ОВу
O B. y - 1x+45
4x
O c. y = 4x+23
O D. y= - 4x + 7
Answer:
c. y=4x+24
Step-by-step explanation:
To identify the equation, the equation must satisfy the points (-5,3).
putting x as -5 should give us y=3
c. y = 4x + 23
y = 4 * (-5) + 23
y = -20 + 23
y = 3
[tex]\rule{300}{1}\\\dashrightarrow\large\textsf{\textbf{\underline{Given question:-}}}[/tex]
Identify an equation in slope-intercept form for the line parallel to y = 4x - 9
that passes through (-5,3).
[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
If lines are parallel to each other, they have the same slope.
If a line is parallel to [tex]\bold{y=4x-9}[/tex], and the slope of this line is 4, then the slope of the line that's parallel to [tex]\bold{y=4x-9}[/tex] also has a slope of 4.
All right, we know the slope, but that's part of the slope-intercept equation,
We also need to identify the y-intercept; one way to find it (the one I always use) is the point-slope form.
Point-slope form looks like so:-
[tex]\longmapsto\sf{y-y_1=m(x-x_1)}[/tex]
Replace y1 with 3, m with 4, and x1 with -5:-
[tex]\longmapsto\sf{y-3=4(x-(-5)}[/tex]
On simplification,
[tex]\longmapsto\sf{y-3=4(x+5)}[/tex]
On further simplification,
[tex]\longmapsto\sf{y-3=4x+20}[/tex]
On further simplification,
[tex]\longmapsto\sf{y=4x+20+3}[/tex]
Final equation:-
[tex]\longmapsto\sf{y=4x+23}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Rita has a credit card that gives a 6% discount on every purchase. The annual percentage rate on the card is 15%. She is purchasing a digital camera for $300. If she purchases the camera and only pays $80 on the first month’s bill, how much will she need to pay off the balance the following month? $199. 47 $204. 53 $220. 00 $222. 75.
Answer:
The answer would be 204.53Step-by-step explanation:
I'm taking the testGiving Brainlist Please Help!!!! Find the perimeter of the rhombus. Use the Pythagorean Theorem.
Answer:
Choice D, 20 inches.
Step-by-step explanation:
The Pythaogorean theorem tells us that the hypotenuse of a triangle, c, can be found by taking: c = [tex]\sqrt{a^{2} +b^{2}}[/tex]. In this case, a = 3 and b = 4. So:
c = [tex]\sqrt{a^{2} + b^{2} }[/tex]
c = [tex]\sqrt{3^{2} + 4^{2} }[/tex]
c = [tex]\sqrt{9 + 16}[/tex]
c = [tex]\sqrt{25}[/tex]
c = 5
The sides of a rhombus are all equal. Given that one side is equal to 5, we can simply multiply 5 by 4 to get 20. The perimeter is 20 inches.
Answer:
D. 20 in
Step-by-step explanation:
Finding the side of the rhombus :
side of the rhombus = √3² + 4²side of the rhombus = √9 + 16side of the rhombus = √25side of the rhombus = 5 inPerimeter :
4 x side length4 x 5 in20 inWhich Stem-and-Leaf Plot matches the data set shown below?{11, 23, 13, 17, 13, 24, 22, 32, 12, 35} PLEASE HELP ME
Answer:
I am going to use a dot to represent a line:
1 . 1, 2, 3, 3, 7
2. 2, 3, 4
3. 2, 5
Our TA owns four Porsches, each works of the time, and two Ferraris, each works of the time. What is the probability that on a given day, at least half of the Porsches and at least half the Ferraris work
Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.
What is the probability that only half of the cars work?The Porches work 80% of the time and the Ferraris work 60% of the time.
Using the binomial distribution, the probability that half the Porches work is:
= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾
= 0.9728
The probability that half the Ferraris work is:
= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾
= 0.84
The probability that only half of both will work is:
= 0.9728 x 0.84
= 0.8172
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During Black Friday, everything at Best Buy was marked down 15%. If a customer purchased electronics for a subtotal of $240, what is the final price they would pay for all of their electronics?
Answer:
$204
Step-by-step explanation:
Expression : 240 x 15%
15% x 100 = 0.15
Equation : 240 x 0.15 = 36
Final Answer : 36
240 - 36 = 204
The difference of twice a number and 3 is at most-26.
Answer:
x < & = -23/2
Step-by-step explanation:
Let a number be x.
Twice a number = 2x
2x - 3 = -26 and 2x - 3 < -26
2x = -23 and 2x < -23
x = -23/2 and x < -23/2
Simplify: 10 - (16 ÷ 8)3 • 9 + 9
Answer:
-35
Step-by-step explanation:
Answer:
54(16÷8)-10?????
Step-by-step explanation:
I'm bad at this
1. Use the function f (x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
I promise to give braInliest to the correct answer.
Answer:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
Step-by-step explanation:
MATHHH HELPPPPP I NEED TO FINISH THIS BUT IM STUCK
Answer:
10 I think but not sure. but It has to be an Evan number
identify the rational numbers represented by the letters on the number line.
[tex]\huge\rm\underline{Answer}[/tex]
✧ Rational numbers are represented on the number line by dividing a unit into as many divisions as the denominator of the rational number
Here , Each unit is divided into 7 equal parts . It means denominator of the rational number is 7.
A is on the 10th Mark to the left of 0.So , A represents -10/7
B is on the 6th mark to the left of 0 .So , B represents -6/7
C is on the 3rd mark to the right of 0.So , C represents 3/7
D is on the 15th mark to the right of 0.So , D represents 15/7
Hope it helps ~
Aryll measures the water depth at the end of her dock. Waves are coming in, so the water level keeps changing.
The graph below shows the water level, h, in feet, t seconds after she began measuring. Approximately how much time passes between consecutive waves?
Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.
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PLEASE URGENT
Mary wants to take group fitness classes at a nearby gym, but needs to start by selecting a membership plan. With the first membership plan, Mary can pay $70 per month, plus $1 for each group class she attends. Alternately, she can get the second membership plan and pay $10 per month plus $4 per class. If Mary attends a certain number of classes in a month, the two membership plans end up costing the same total amount. How many classes per month is that?
Write a system of equations, graph them, and type the solution.
The linear equations for the system: y = x + 70 and y = 4x + 10
She'll attend 20 classes/month
The graph for the solution (20, 95) is in the image attached below
What is a Linear Equation?A linear equation can expressed in slope-intercept form, as, y = mx + b.
m = unit rate/slopeb = initial value/y-interceptLinear equation for the first membership plan:
b = 70
m = 1
x = number of classes
y = total amount
Equation for the first membership plan: y = x + 70
Linear equation for the second membership plan:
b = 10
m = 4
x = number of classes
y = total amount
Equation for the second membership plan: y = 4x + 10
The system of equations are:
y = x + 70
y = 4x + 10
The solution is the point at which the line for both equations intersect on the graph as shown in the image attached below, which is: (20, 95).
This means Mary must attend 20 classes for each membership plan, she must attend 20 classes to pay the same total amount of $95 per month.
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The volume of a tree stump can be modeled by considering it as a right cylinder. Ashley measures its height as 1.2 ft and its radius as 20 in. Find the volume of the stump in cubic inches. Round your answer to the nearest tenth if necessary.
The volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
We have h = 1.2 ft = 1.2×12 = 14.4 inches
r = 20 inches
[tex]\rm V = \pi (20)^2 \times 14.4[/tex]
After calculating, we get:
V = 18095.57 ≈ 18095.6 cubic inches
Thus, the volume of the stump in cubic inches is 18095.6 if the Ashley measures its height as 1.2 ft and its radius as 20 in.
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Answer:
Step-by-step explanation:
2
This is a graph of y =2x-7
Use the graph to solve these equations
a. 2x-7=5
b. 2x-7=0
find the value of each of the lettered angles in the diagram below
Answer:
Step-by-step explanation:
Remark
You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.
The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.
Givens
<1 = 50 degrees
<2 = 50 degrees
Exterior angle = 15x + 25 Substitute the givens into the equation
Equation
<1 + <2 = 15x + 25
Solution
50 + 50 = 15x + 25 Combine the left side
100 = 15x + 25 Subtract 25 from both sides
100 - 25 = 15x + 25 - 25 Combine
75 = 15x Divide both sides by 15
75/15 = 15x/15
5 = x
Answer
<1 = 50 degrees
<2 = 50 degrees
15x + 25 = 75 + 25 = 100
A survey of favorite movie types found that 36% of people polled preferred comedies instead of action movies. if
450 people preferred comedies, how many people were surveyed?
a. should your answer be less than 450, equal to 450, or greater than 450? why?
b. calculate
Answer:
Step-by-step explanation:
a)
The answer is greater than 450 because the percentage is less than 100%
b)
36% = 36/100 = 0.36
450/0.36 = 1250
how many people were surveyed?:
1250
The distance traveled by a car traveling at a constant speed is directly proportional to the time spent traveling. If the car went 910 miles in 13 hours, how far will it go in 14 hours
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]