The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.
What is a prism?A prism is a closed solid that has two parallel bases connected by a rectangle surface.
The height of a right triangular prism is 11/6 inches.
Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.
The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
Then the surface area of the prism will be
[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]
More about the prism link is given below.
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????????!!!!!!!!!!!!!!????
Answer:
B. 2106 pi mm³
Step-by-step explanation:
the solution is attached,
MARK ME AS BRAINLISTAnswer:
B.2106π mm^3
Step-by-step explanation:
here is the volume of a drill
[tex]\pi \: {r}^{2} h \: + \frac{1}{3} \pi \: {r}^{2} h[/tex]
[tex]\pi \times 81 \times 18 + \frac{1}{3} \times \pi \times 81 \times 24[/tex]
[tex] > > > 2106 \pi \: {mm}^{3} [/tex]
express the following rational algebraic expression to its simple form.show your solution
2. 3×-12/ 5× - 20
Question
express the following rational algebraic expression to its simple form.show your solution2. 3 × - 12 / 5 × - 20Answer
[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]
[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]
[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]
I'm struggling with this question, if someone could help me that'd be great! :)
Answer:
t = 3 seconds
Step-by-step explanation:
You can think of this as a quadratic and find the zeros. i will use x and y to make it easier.
y = -16x^2 + 48x
y = (x)(-16x+48)
y = (-16)(x)(x-3)
This means your zeros are at x = 0 and x-3 = 0, so 0 and 3.
0 is when the ball leaves the ground, so 3 is when it returns.
how many degrees is 17/9 of a semicircle
Answer:
340°
Step-by-step explanation:
To convert radians to degrees, multiply by [tex]\frac{180}{\pi }[/tex] since a full circle is 360° or
2[tex]\pi[/tex] radians.
[tex](\frac{17}{\pi } )[/tex] x [tex]\frac{180}{\pi }[/tex]
Factor [tex]\pi[/tex] out 0f 17[tex]\pi[/tex]
[tex]\frac{\pi (17)}{9}[/tex] x [tex]\frac{180}{\pi }[/tex]
Cancel the common factor "[tex]\pi[/tex]"
Rewrite the expression as:
[tex]\frac{17}{9}[/tex] x 180
Factor 9 out of 180.
[tex]\frac{17}{9}[/tex] x(9(20))
Cancel out the common factor "9"
Rewrite the expression as:
17 x 20
=340°
Sloane kicked a soccer ball off the ground at a speed of 48 feet per second. the height of the ball can be represented by the function h(t) = −16t2 48t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 0.33 seconds t = 3 seconds t = 16 seconds t = 48 seconds
Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.
What is the function for the ball's height?The height of the ball after t seconds is given by:
h(t) = -16t² + 48t.
It is at the ground at the instants of t for which:
h(t) = 0.
Hence:
-16t² + 48t = 0
-16t(t - 3) = 0.
We want t different of 0, hence:
t - 3 = 0 -> t = 3.
The ball traveled for 3 seconds before returning to the ground.
More can be learned about functions at https://brainly.com/question/25537936
Answer:
3 seconds is the answer
Step-by-step explanation:
IMAGE IS DOWN BELOW!!
SOMEONE PLEASE HELP ME!!
ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!
Answer:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]
a and b are legs, c is the hypotenuse
[tex]9^{2}[/tex] + [tex]11^{2}[/tex] = [tex]c^{2}[/tex]
81 + 121 = [tex]c^{2}[/tex]
202 = [tex]c^{2}[/tex] ( square root each side [tex]\sqrt{202}[/tex]
14.2126704036 = c
c = 14.2
The volume of a cone is 1,782 cubic centimeters. a cylinder has the same radius and height as the cone. what is the volume of the cylinder?
a.
3,564 cubic centimeters
b.
1,782 cubic centimeters
c.
594 cubic centimeters
d.
5,346 cubic centimeters
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
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Answer:
Step-by-step explanation:
The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters
What is the Volume of a Cylinder?
Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.
We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:
Volume of the cylinder = 3(1,782)
Volume of the cylinder = 5,346 cubic centimeters
Learn more about volume of cylinder on:
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Jen and her friends would like a curved pit to be included in next year’s obstacle course. they found this equation to model their suggested curved pit using a computer simulation. in the equation, y is the depth of the pit in relation to the surface of the course, and x is the horizontal distance from the left edge of the entire obstacle course. both distances are in feet. y = 0.75x^2 − 13.5x + 57.75 select the correct answer from each drop-down menu. a robot traveling along the surface of the curved pit reaches a (maximum, minimum, or contrast) depth of (-3, -9, 4, or -7) feet
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
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Find the MEDIAN of his test scores.
Last semester, Mike got the following classwork grades in Math.
45, 54, 72, 89, 100, 26, 34, 100 , 92, 85, 76
Answer:
76
Step-by-step explanation:
The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.
50 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176
Answer:
30th percentile = 105 90th percentile = 176
Step-by-step explanation:
Arrange the data set in order from smallest to largest:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
30th percentile
r = number of data values = 10
q = percentile = 30
q/100 = 30/100 = 0.3
q/100 × r = 0.3 × 10 = 3
Therefore, count the 3rd number in the ordered set.
⇒ 30th percentile = 105
90th percentile
r = number of data values = 10
q = percentile = 90
q/100 = 90/100 = 0.9
q/100 × r = 0.9 × 10 = 9
Therefore, count the 9th number in the ordered set.
⇒ 90th percentile = 176
30th percentile = 105, 90th percentile = 176
Explanation:
data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}
arrange in ascending order:
{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}
30th percentile: 10590 th percentile: 176
A travelling wave is given by the equation y = 0.03 Sin (2.2 x - 3.5t) where y and x are in metres and t is in seconds. Find the amplitude, the wayelength, the frequency, the period and the speed of the wave.
Answer:
Amplitude 0.03m, wavelength 2.86m, frequency 0.57Hz, period 1.8s
Step-by-step explanation:
The traveling wave is described with the following equation:
[tex]y=Asin(kx-wt)[/tex]
y=0.03sin(2.2x−3.5t)
A=0.03m
λ=2π/k=2π/2.2≈2.86m
T=1/f≈1.8s
Which Expression represents the perimeter of the figure below?
А 5x+2y
B x + y +z
C 5x + 2y + 2
D (5+2 + 1)(x + y + 2)
Answer:
The C option is correct
TRUST ME
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEUse the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answer:
x=2.87083
Step-by-step explanation:
y = –2x^2 + 4x +5
ax^2 + bx + c = 0
a= -2
b= 4
c= 5
Quadratic formula: x= -b±√b^2-4ac over 2a
1. plug in the numbers
2. x= -4 ± √4^2 -4(-2)(5) over 2(-2)
3. x= -4 ± √16+40 over -4
4. x= -4 ± √56 over -4
next simplify ratidal
x= -4 ± √2·2·2·7 over -4
x= -4 ± 2√2·7 over -4
x= -4 ± 2√14 over -4
divide both sives over four
x= -4 over -4 ± 2√14 over -4
x= -1 over -1 ± √14 over -2
answer:
x=2.87083
pls answer i give u anything
Answer:
the first one is 0.5 inches 1.27 centimeters
the second is 0.25 inches or 0.635 centimeters
Step-by-step explanation:
The value of a motorcycle each year follows the sequence $12,000 $9,600, $7,680, $6,144
Which formula represents the recursive definition of the sequence where n represents the number of years?
The recursive definition of the geometric sequence is given by:
A. [tex]a_n = (0.8)a_{n-1}[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The basic recursive relation is given as follows:
[tex]a_n = qa_{n-1}[/tex]
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, considering the given sequence, the common ratio is given by:
[tex]q = \frac{6144}{7680} = \frac{7680}{9600} = \frac{9600}{12000} = 0.8[/tex]
Hence option A is correct.
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The values of the motorcycle follows a geometric sequence
The recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]
How to determine the recursive definition?The values are given as:
$12,000 $9,600, $7,680, $6,144
Calculate the common ratio using:
r = a2/a1
So, we have:
r = 9600/12000
Divide
r = 0.8
Recall that:
r = a2/a1
So, we have:
a2/a1 = 0.8
Multiply both sides by a1
a2 = 0.8a1
Rewrite as:
[tex]a_{2} = 0.8a_{2-1[/tex]
Substitute n for 2
[tex]a_{n} = 0.8a_{n-1[/tex]
Hence, the recursive definition of the sequence is (a) [tex]a_{n} = 0.8a_{n-1[/tex]
Read more about sequence at:
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Please answer this question with full working and explanation
And I reward that person with stars.
Answer:
3 7/12
Step-by-step explanation:
First find the common denominator.
8,16,24
3,6,9,12,15,18,24
Once you find the common denominator. You have to fix the numerator.
7 2/8 would become 7 6/24
Whole numbers stay the same.
8 x 3 = 24
2 x 3 = 6
Now we repeat it on the other mixed number.
3 2/3 would become 3 16/24
Again whole numbers stay the same.
3 x 8 = 24
2 x 8 = 16
Once you convert the fractions to having the same denominator you subtract like normal.
7 6/24 - 3 16/24 = 3 14/24
3 14/24 can be simplified to 3 7/12
Answer:
[tex]\boxed{3 \dfrac{7}{12}}[/tex]
Step-by-step explanation:
The first step in simplifying the expression is to convert both the fractions into improper fractions [a/b (a > b)].
⇒ [tex]7\dfrac{2}{8} - 3\dfrac{2}{3}[/tex]
⇒ [tex]\dfrac{7 \times 8 + 2}{8} - \dfrac{3 \times 3 + 2}{3}[/tex]
⇒ [tex]\dfrac{56 + 2}{8} - \dfrac{9 + 2}{3}[/tex]
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
The next step in simplifying the expression is to make the denominators of both fractions equivalent.
⇒ [tex]\dfrac{58}{8} - \dfrac{11}{3}[/tex]
⇒ [tex]\dfrac{58 \times 3}{8 \times 3} - \dfrac{11 \times 8}{3 \times 8}[/tex]
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
The third step in simplifying the expression is to subtract the fractions.
⇒ [tex]\dfrac{174}{24} - \dfrac{88}{24}[/tex]
⇒ [tex]\dfrac{86}{24}[/tex]
The fourth step in simplifying the expression is to simplify the difference of the two fractions.
⇒ [tex]\dfrac{86}{24}[/tex]
⇒ [tex]\dfrac{86 \div 2}{24 \div 2}[/tex]
⇒ [tex]{\dfrac{43}{12}}[/tex]
The fifth step in simplifying the expression is to convert the improper fraction into mixed fraction.
⇒ [tex]{\dfrac{43}{12}}[/tex]
⇒ [tex]{\dfrac{36}{12}} + \dfrac{7}{12}[/tex]
⇒ [tex]3 + \dfrac{7}{12}[/tex]
⇒ [tex]\boxed{3 \dfrac{7}{12}}[/tex]
Can anyone please answer the attachment
Answer:
•SEE BELOW•1) NAME OF CIRCLE : CIRCLE ABDE
2) CHORD : SEGMENT DE
3)DIAMETER: SEG DB
4)TANGENT LINE : RAY E
5) SECANT LINE : SEGMENT AB
HOPE IT HELPS!
MARK AS BRAINLIAST.
Which statement is true about the discontinuities of the function f(x)?
f(x)=x+1/6x^2-7x-3
There are asymptotes at x=3/2 and x=-1/3
There are holes at x = 3/2 and x = -1/3
There are asymptotes at x = -3/2 and x = 1/3
There are holes at x = -3/2 and x = 1/3
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:A There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
A farmer is mapping out his acreage to
determine where to put up fencing for his
cattle. The length of his plot is 20 yards lõnger
than its width.
Write the function, f(w), that describes the
area, in square yards, of the land enclosed by
the fence.
Enter your answer in the space provided.
So
Area=Length×BreadthArea=x(x+20)Area=x^2+20xyd^2Pearl drives 4 miles to work each day. How many yards and feet does she drive to work each day?
Answer:
21120 Feet
6.437376 Kilometer
Step-by-step explanation:
Looked it up
Answer:
7040 yd and 21120 ft
Step-by-step explanation:
1 mile = 1760 yards
1 yard = 3 feet
4*1760=7040 yards per day
7040*3=21120 feet per day
How much will be in the jar?
Answer:
option B 1 1/6amount of paint:
1/2 * 1 + 1 * 3 + 1 1/2 * 1 + 1 * 27If divide into 6 jars:
7/61 1/6[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
let's solve ~
Total jars = 6
Total cups of blue paint :
[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + (1 \times 3) + 1 \frac{1}{2} + 2[/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{1}{2} + 3 + \frac{3}{2} + 2[/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{1 + 6 + 3 + 4}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: \frac{14}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:7 \: cups[/tex]
So, teacher distributes all blue paint equally in each jar, then amount of paint in each jar is :
[tex]\qquad \tt \dashrightarrow \: \dfrac{7}{6} [/tex]
[tex]\qquad \tt \dashrightarrow \:1 \frac{1}{6} \: \: cups[/tex]
So, option B is correct
It cost $120 to buy the materials for crown molding in the completed office. (Crown molding is the decorative border where the walls meet the ceiling. It will go all the way around all four walls.) Using the same materials, how much will it cost to buy all of the crown molding for the bedroom? Round up to the nearest whole dollar.
$26 $79 $47 $75
Answer:75
Step-by-step explanation:
Which expression represents the area of the base of the pyramid? startfraction 3 v over h endfraction units2 (3v – h) units2 (v – 3h) units2 startfraction v over 3 h endfraction units2
The expression that represents the area of the base of the pyramid(right pyramid) is given by: Option A: 3v/h unit²
What is a right rectangular pyramid?A right rectangular pyramid is a pyramid, with four slant sides, and a rectagular base, such that all the sides are congruent and the vertex is atop of the midpoint of the base rectangle.
How to find the volume and base's area of a right rectangular pyramid?Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex] is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
Thus, we can express the area of its base in terms of its volume as:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3 = \dfrac{b\times h}{3}\\\\3v = b\times h\\\\\\b = \dfrac{3v}{h} \: \rm unit^2[/tex]
Thus, the expression that represents the area of the base of the pyramid (right pyramid) is given by: Option A: 3v/h unit²
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Answer:
3V/h units^2
Step-by-step explanation:
Easy question! First one to answer gets brainliest!
X=5+7
x=12
.................
PLEASE HELP< sorry for all the questions im asking i just dont want to confuse anyone with a bunch of pictures...
Choose the line plot that correctly shows this data about the growth of bean plants:
1/2,3/4,1/2,1/4,1/2,1/4,3/4,3/4,1/2
Answer:
It is the first one
Step-by-step explanation:
Hi, it is the first one because there is 4 - 1/2 3 - 3/4 and 2 - 1/4
Four friends ran in a 5K race on Saturday. They were the top 4 finishers. Here are their race times: Craig: 25.9 minutes Charlie: 32.28 minutes Randy: 32.2 minutes Sam: 25.85 minutes Who won first place? Who won second place? Third? Fourth?
Sam first one
Craig second one
Randy third one
Charlie fourth one
From the data second is Craig, third is Randy and fourth is Charlie.
Given that, 4 persons ran a race.
Craig took 25.9 minutes
32.28 minutes took by Charlie
32.2 minutes by Randy
25.85 by Sam
To find who own second, third and fourth
Arranged the decimals in ascending order and found the answers.
By arranging in ascending order:
Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.
First is Sam = 25.85
Second is Craig = 25.9
Third is Randy = 32.2
Fourth is Charlie = 32.28
Hence, from the data second is Craig, third is Randy and fourth is Charlie.
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& What value of x satisfies the system of equations below!
x+2y= 11
4x - y = 8
Answer:
[tex]\boxed{\sf{x=3 \quad y=4}}[/tex]Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
x+2y=11 and 4x-y=8⇒ x+2y=11
⇒ x=11-2y
Substitute.
4(11-2y)-y=8
Solve.
Distributive property:
⇒ A(B+C)=AB+AC
4(11-2y)
4*11=44
4*2=8
Rewrite the problem down.
44-9y=8
Subtract by 44 from both sides.
44-9y-44=8-44
Solve.
-9y=-36
Divide by -9 from both sides.
-9y/-9=-36/-9
Solve.
-36/-9=4
y=4
Substitute of y=4.
⇒ x=11-2*4
Use order of operations.
PEMDAS stands for:
ParenthesesExponentsMultiplyDivideAddSubtract11-2*4
Multiply.
2*4=8
Rewrite the problem down.
11-8
Subtract.
11-8=3
x=3
Therefore, the correct answer is x=3 and y=4.I hope this helps you! Let me know if my answer is wrong or not.
2. A baby weighs 8 pounds, 1 ounce. How much does she weigh in ounces?
Answer:
97 oz
Step-by-step explanation:
12 oz per pound
8 pounds + 1 oz
(12 · 8)+ 1
97 oz
Hope this helps!
A football is thrown from the top of the stands, 50 feet above the ground at an initial velocity of 62 ft/sec and at an angle of elevation of 45 degrees.
a.) Write a set of parametric equations that model the football's horizontal and vertical movement.
b.) The football reaches its maximum height at t=1.37 seconds. Using your parametric equations from part "a", determine the location of the football at its maximum height relative to the starting point.
a. i. The parametric equation for the horizontal movement is x = 43.84t
ii. The parametric equation for the vertical movement is y = 50 + 43.84t
b. the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
a. Parametric equationsA parametric equation is an equation that defines a set of quantities a functions of one or more independent variables called parameters.
i. Parametric equation for the horizontal movementThe parametric equation for the horizontal movement is x = 43.84t
Since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the horizontal component of the velocity is v' = vcosФ.
So, the horizontal distance the football moves in time, t is x = vcosФt
= vtcosФ
= 62tcos45°
= 62t × 0.7071
= 43.84t
So, the parametric equation for the horizontal movement is x = 43.84t
ii Parametric equation for the vertical movementThe parametric equation for the vertical movement is y = 50 + 43.84t
Also, since
the angle of elevation is Ф = 45° and the initial velocity, v = 62 ft/s,the vertical component of the velocity is v" = vsinФ.
Since the football is initially at a height of h = 50 feet, the vertical distance the football moves in time, t relative to the ground is y = 50 + vsinФt
= 50 + vtcosФ
= 50 + 62tsin45°
= 50 + 62t × 0.7071
= 50 + 43.84t
b. Location of football at maximum height relative to starting pointThe location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
Since the football reaches maximum height at t = 1.37 s
The x coordinate of its location at maximum height is gotten by substituting t = 1.37 into x = 48.84t
So, x = 43.84t
x = 43.84 × 1.37
x = 60.0608
x ≅ 60.1 ft
The y coordinate of the football's location at maximum height relative to the ground is y = 50 + 48.84t
The y coordinate of the football's location at maximum height relative to the starting point is y - 50 = 48.84t
So, y - 50 = 48.84t
y - 50 = 43.84 × 1.37
y - 50 = 60.0608
y - 50 ≅ 60.1 ft
So, the location of the football at its maximum height relative to the starting point is (60.1 ft, 60.1 ft)
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