Answer:
x = 29
Step-by-step explanation:
Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)
x + (x+1) + (x+2) = 90
x + x + x + 3 = 90
3x = 87
x = 29
Hence, x = 29
Hope this helps out. Feel free to mark me as brainliest! :)
What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter?
[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 10m, rounded to the
nearest tenth of a cubic metre (m³)?
[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
[tex]\it{Volume\:of\:a\:sphere:-}[/tex]
[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]
[tex]\bold{\underline{Where:-}}[/tex]
V=Volumeπ = pi r=radius
Provided information:-
diameter = 10 m
What we need in order to find the Volume:-
radius
How to find the radius if we have the diameter?
Since the radius is exactly one-half of the diameter, we divide the diameter by 2:-
[tex]\bold{r=d\div2}[/tex]
Replace d with 10:-
[tex]\bold{r=10\div2}[/tex]
Therefore, the radius of the sphere is
[tex]\bold{r=5}[/tex][tex]\rule{300}{1}[/tex]
✓ Now we have all the required information in order to find the volume of the sphere.
✳︎Substitute 5 in lieu of r:-
[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]
➪On simplification,
[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex] ◈ Next, write the value of π (3.14…)
[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]
On further simplification,
[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex] Final Step:- Multiply the numbers.
[tex]\bold{V=523.3\:m^3}[/tex]
The answer has been rounded to the nearest tenth (one place after the decimal point)
Therefore, we conclude that the volume of the sphere is
[tex]\bold{V=523.3\:m^3}[/tex]
Good luck with your studies.[tex]\rule{301}{1}[/tex]
please help and explain.
answer : -40/41
steps:
soh cah toa
sin is soh
meaning opposite/hypotenuse
opposite is 9 and
hypotenuse is 41
now you can treat it like a triangle and use the pythagorean theorem
a^2 + 9^2 = 41^2
a^2 + 81 = 1681
a^2 = 1600
a = 40
in soh cah toa
cos is adjacent/hypotenuse so
cos is 40/41
its in quadrant 2 so its negative
-40/41
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Using the image above, what is the measure of side EG? Round to nearest hundredth
Answer:
is 3.5
Step-by-step explanation:
you need to use SOH CAH TOA
Answer:
this is how I solve it....
PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
How long is each side of the park?
Answer:
13
Step-by-step explanation:
26.5 - 13.5 = 13
David bought a computer that was 20%
off the regular price of 1,080.if an 8%
sales tax was added to the cost of the
computer what was total price david
paid for it
Answer:
The total price David paid for the computer is $933.12
Step-by-step explanation:
The cost of the computer will be $1,080 with 20% off and 8% sales tax.
20% of 1080 is 1080(0.20)=216 this means 216 is 20% of 1080, so with the discount the price will be 1080-216=$864
Now we have to find 8% of 864.
864(0.08)=$69.12
So the total price will be 864+69.12= $933.12
The volume of this rectangular prism is 108 cubic feet. a prism has a length of l, height of 4.5 feet, and width of 3 feet. what is the length of the prism? feet
Answer:
8 feet
Step-by-step explanation:
The length can be found using the volume formula with the known values. The resulting equation can be solved for the unknown value.
__
V = LWH . . . . . volume of a prism is the product of its dimensions
108 ft³ = l×(3 ft)×(4.5 ft) . . . . . known values filled in
l = 108 ft³/(13.5 ft²) = 8 ft . . . . . . divide by the coefficient of length
The length of the prism is 8 feet.
Answer:
8ft
Step-by-step explanation:
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many
of them own a car
Answer:
The survey represents quantitative data and there is greater percentage of LA residents who own cars than NYC residents who do.
Agree & disagree statements: CIrcles
Circle A has a diameter of 18 inches.
Circle B has a circumference of 36 inches.
write the letter of the card in the correct column next to the letter, write your explanation as to why it belongs in the agree or disagree columns.
1. Circle A has an approximate circumference of 56.5 inches. true or false? explain.
2. Circle A has an area of 324r in2, True or false? explain
3. Circle A is approximately 151 square inches greater than Circle b. True or false ? explain.
Answer:
Hope the pictures will help you
In a unit circle, 0 = 270°. Identify the terminal point and sin 0.
Answer:
terminal point is at (0, -1) and sin 0 = -1
Step-by-step explanation:
In a unit circle the radius of the circle is 1 so
- we know the points where the circle intersects the x-axis and y-axis as a (x , y) coordinates.
(1, 0) where we start on the positive x-axis and where angle is 0°
(0, 1) where we go counterclockwise and where angle is 90°
(-1, 0) where we go continue counterclockwise and where angle is 180°
(0, -1) where we stop in our problem because the angle is 270°
-we also know that x= cos O and y= sin O so the coordinates (x, y) are really
(cos O, sinO)
Given:
0 = 270°
sin 0 = sin 270°
sin 270° = -1
The terminal point is at (0, -1) and sin 0 = -1
Question 1 (Essay Worth 10 points)
(08.01 MC)
Minnie is doing a survey to find the time her classmates spend playing musical instruments. She asks the following question:
Which student spends the most time playing musical instruments?
Part A: Describe the data you would expect her to collect from this question. (5 points)
Part A: She needs to collect different types of data to form her classmates. It will help her to find which student spends the most time playing musical instruments.
Part B: Yes, it is a statistical question.
What does Zoe need to do?Zoe needs two main data from each of her classmates.
1. Name of her classmates.
2. Which student spends how much time playing musical instruments.
After that, she can make a graph or a chart in order to understand which student spends more time playing musical instruments.
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Quadrilateral ABCD is dilated at center (0.0) with scale factor 1/2 to form quadrilateral A’B’C’D’. What is the length of A’B’?
Answer:
Step-by-step explanation:
Write the standard form of the equation
Answer:B
Step-by-step explanation:
can someone please help me
The matrix expressions are:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]How to solve the matrix expression?The rule for matrix product states that:
If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.
Then, the dimension of the product matrix is: m by p
Using the above rule, we have:
Expression 1:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
By comparison, we have:
12a + 7c = 2
5a + 3c = 3
12b+ 7d = -1
5b + 3d = 2
Using a graphing tool, we have:
a = -15, b = -17, c = 26 and d = 29
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expression 2:
[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
By comparison, we have:
6.75a + 3b = 8
-9a - 4b = 5
Using a graphing tool, the system of equation has no solution
Hence, the matrix expression cannot be solved
Expression 3:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
By comparison, we have:
-2a + 3b = 6
3a + 5b = 8
Using a graphing tool,
a = 3 and b = 4
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
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Find the lateral area for the prism.
36 in 2
54 in 2
27 in 2
81 in 2
Answer 27 in^2:
Step-by-step explanation:
the functions fx and gx are shown on the graph. using fx what us the equation that represents gx
The equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have equation of the graph:
[tex]\rm f(x) = log_3x[/tex]
Apply transformation in the parent function:
Replace x → (x+4)
The parent function will shift 4 units to the left.
And function becomes:
[tex]\rm g(x) = log_3(x+4)[/tex]
Thus, the equation for the function g(x) = log₃(x+4) after applying the transformation x → (x+4).
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12.4 worksheet mathematics
Answer:
ok. Where is the Question
A country has 33 parks that allow camping and 101 parks that have
playgrounds. Of those, 16 parks both allow camping and have
playgrounds. The country has a total of 346 parks.
What is the probability of randomly selecting a park that allows
camping or has a playground? Write your answer as a fraction.
Answer:
134:346 Add the 33 to 101 to get first number, then total number of parks 346 is the second number, they may end up wanting you to to reduce the fraction.67:143
8696 is divisible by what numbers?
*choose all that apply*
9
10
4
3
6
2
5
d
Answer:
4 and 2
Step-by-step explanation:
please mark me as hhhshhàg jb hhhh bcuz
CON
Enter a range of values for x.
a
a
3x-9⁰ 93°
27
26
[?]
Enter
Answer:
3° < x < 32.538°
Step-by-step explanation:
The possible values of the angle marked with an x-expression may not be as obvious as they first seem. There is a somewhat complicated interaction between the angle value and the length of the side(s) marked 'a'.
__
We can label the vertices of the figure A through D, clockwise from the bottom.
minimum xThe minimum value of angle ACB (marked 3x-9°) is 0°. That will be its measure when AB +BC = AC, or B lies on line AC. In this case, the value of x is ...
3x -9° = 0°
3x = 9° . . . . add 9°
x = 3° . . . . . divide by 3
maximum xvalue of 'a'
The maximum value of angle ACB will be found where both triangles are isosceles: AC ≅ BC ≅ DC. The length of 'a' can be found for that case using the Law of Sines:
27/sin(93°) = a/sin(43.5°) . . . where (180° -93°)/2 = 43.5° is the base angle
a = 27×sin(43.5°)/sin(93°) ≈ 18.611
value of 3x -9°
Angle ACB will obey the same Law of Sines requirement. If z represents the base angle in isosceles triangle ABC, then we have ...
sin(z)/18.611 = sin(180-2z)/26
Recognizing that sin(180-2z) = sin(2z) and using the double-angle formula, we find ...
sin(z)/18.611 = 2sin(z)cos(z)/26
sin(z)(1/18.611 -cos(z)/13) = 0 . . . . . subtract the right side, factor
This has solutions that make the factors zero:
sin(z) = 0 ⇒ z = 0 . . . . . . an extraneous solution in this case
cos(z) = 13/18.611 ≈ 45.6925°
Then the value of x can be found from ...
3x -9° = 180° -2z ≈ 88.615°
x ≈ 3° +(88.615°/3) = 32.538°
_____
Additional comment
In the above, we have shown numerical values for the side lengths and angles in the maximum-x case. The various expressions can be combined to give ...
3(x -3°) = 180° -2(arccos(13/27×sin(93°)/sin(43.5°)))
x = 63° -2/3·arccos(13/27·sin(93°)/sin(43.5°))
What is the factored form of x²y³ - 2y³ - 2x² + 4?
y³ (x² − 2) +2 (-x² + 2)
Answer:The third option is correct
Step-by-step explanation:
Answer:
(y³ - 2) (x² - 2).
Step-by-step explanation:
x²y³ - 2y³ - 2x² + 4
= y³ (x² - 2) - 2(x² - 2)
(x² - 2) is common to both parts so we have:
(y³ - 2) (x² - 2)
What is the probability that a person who is above 35 years old has a hemoglobin level of 9 or above? a. 0.357 b. 0.313 c. 0.531 d. 0.343 e. 0.432
Using it's concept, it is found that the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is of 0.247.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, we find a table, which says that there are 162 participants above 35 years old, and 40 have hemoglobin levels of 9 and above, hence the probability is given by:
p = 40/162 = 0.247.
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Answer:
Actually, its option C when the hemoglobin level is of 9 or above
Step-by-step explanation:
C. 0.531
What is the probability of getting a number greater than or equal to 5 when rolling a number cube numbered 1 to 6?
A.1/5
B.1/6
C.1/3
D.2/5
Answer:
C. 1/3.
Step-by-step explanation:
There are 2 favourable outcomes:
a 5 or a 6.
So that is 2 numbers out of 6.
Therefore the probability is 2/6
= 1/3.
Points P(-10,10) and Q(6,-2) give the diameter of a circle.
Determine the equation of the circle in standard form
The equation of the given circle with points P(-10,10) and Q(6,-2) gives the diameter of a circle will be (x-2)² +(y-4)² = 100.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
In our daily life, we always see circle objects for example our bike wheel.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
Given that diameter of the circle is bounded by points P(-10,10) and Q(6,-2).
Centre coordinate = midpoint of P(-10,10) and Q(6,-2).
Midpoint of P(-10,10) and Q(6,-2)
[(-10 + 6)/2 , (10-2)/2 ] = (-2,4 )
Diameter of circle = length between P(-10,10) and Q(6,-2).
lenth between P(-10,10) and Q(6,-2) = 10 units can be calculated by length formula.
The equation of a circle with a center (-2,4 ) and diameter of 10 is given by
(x-2)² +(y-4)² = 10² hence it will be correct.
To learn more about the circle,
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1. Use the data points about the distance and elevations of the camps to graph the data points where the x-coordinate is the total distance traveled from the base camp and the y-coordinate is the elevation. Use the grid below or include a screenshot of the data plotted from a calculator.
Can someone please help/explain! I'm super confused and bad with word problems! The info is shown below!
You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.
What is a graph?A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).
How to plot this graph?In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.
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write the ratio for the trig function indicated
Answer:
sin Θ = 11/19
Step-by-step explanation:
19 is the hypotenuse.
The legs are 11 and 4√15.
sin Θ = opp/hyp
For angle Θ, 11 is the opposite leg.
sin Θ = 11/19
Answer:
11/19 the other guys is correct
Step-by-step explanation:
Please help me thanks!
Answer:
The Surface area will double and the volume will triple.
Step-by-step explanation:
This is because the dimensions will cause the shape to double in surface area and triple in volume as surface area is in a two-dimensional space while volume is in a 3-dimensional plane.
Answer:
See below ~
Step-by-step explanation:
Subpart (h) :
⇒ By doubling the dimensions of a rectangular prism, the surface area becomes 2 times the original value
===========================================================
Subpart (i) :
⇒ By doubling the dimensions of a rectangular prism, the volume becomes 8 times the original value
Someone help me with this
Answer:
C is 17.
Use Pythagorean theorem to find c (hypotenuse)
[We can use this theorem because it is a right triangle]
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
c^2 = 289
c = sqrt(289) = 17
Answer: c = 17 cm
Step-by-step explanation:
Since this is a right triangle, we will use the Pythagorean theorem to solve. The a and b variables are legs, the c variable is the hypotenuse. Here, we are solving for the hypotenuse.
a² + b² = c²
8² + 15² = c²
64 + 225 = c²
64 + 225 = c²
289 = c²
c = [tex]\sqrt{289}[/tex]
c = 17
Side c has a length of 17 cm.
The length of a
rectangle is 12 cm
more than the width.
The perimeter is 44
cm. What is the
length of the
rectangle?
Answer:
length= 5+ 12= 17
Step-by-step explanation:
will take width as x
then the length is x+12
perimeter = x+ x+12+x+x+12= 44
=4x= 44-24= 36
x= 20/4
x= 5
GIVING BRAINLIESTTTTT!!!!!!!!!
Answer:
a. (-6, -3)
Step-by-step explanation:
A triangle has been dilated with a factor of 3.
New coordinates will be :
(x, y) ⇒ (3x, 3y)Therefore, A' will be :
(3(-2), 3(-1))(-6, -3)aPLEASE HELP QUICKLY!
Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.
Write an equation in the standard form to represent the total rent (y) that Abe has to pay for renting the bike for x days. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
(5,36)(8,48)slope = (48 - 36) / (8 - 5)
Step-by-step explanation:
Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.
Explanation
