[tex]\huge\underline{\underline{\boxed{\mathbb {SOLUTION:}}}}[/tex]
[tex]\longrightarrow \sf{2(1 + b) = 260}[/tex]
[tex]\longrightarrow \sf{2(x+30+x) = 260}[/tex]
[tex]\longrightarrow \sf{ 2x+30 = \dfrac{260}{20} }[/tex]
[tex]\longrightarrow \sf{2x + 30 =130}[/tex]
[tex]\longrightarrow \sf{2x = 130 - 30}[/tex]
[tex]\longrightarrow \sf{2x = 100}[/tex]
[tex]\longrightarrow \sf{x= \dfrac{100}{2} }[/tex]
• [tex]\longrightarrow \sf{b= \underline{50cm}}[/tex]
[tex]\longrightarrow \sf{= x + 30}[/tex]
[tex]\longrightarrow \sf{= 50 + 30}[/tex]
• [tex]\longrightarrow \sf{ \underline{80cm}}[/tex]
[tex]\huge\underline{\underline{\boxed{\mathbb {ANSWER:}}}}[/tex]
[tex]\large\bm{Breadth= \: 50cm}[/tex]
[tex]\large\bm{Length= \: 80cm}[/tex]
18 1 / 2 miles of highway 1-35 Is undergoing repairs. The construction workers repairs The construction workers repair 2 1⁄4 Miles of hideaway each week Approximately How many weeks will it take for the repairs to be completed
Answer:
The exact amount of time would be 8 2/9 weeks, but if we are only counting full weeks, it would be finished in 9 weeks.
Step-by-step explanation:
y = xm
18 1/2 = 2 1/4x Change both numbers into improper fractions
18 1/2 would be 37/2 The denominator (bottom number) stays 2. To get the top number you would (2 x 18) + 1 or 37. That makes 37/2 equivalent to 18 1/2.
Now do the same thing to 2 1/4. The bottom number stays the same. We get the top number (4 x 2) + 1 or 9. That makes 9/4 equivalent to 2 1/4.
We know have
37/2 = 9/4 x We can solve for x by multiplying both sides of the equation by 4/9
37/2(4/9) = (9/4)(4/9)x
148/18 = x If we divide both the top and the bottom by 2 we would get 74/9 = x If we divide 74 by 9 we get 8 2/9
Can anyone help me with this? I'm not very good at math... =.=
At which points on the curve y = 1 60x3 − 2x5 does the tangent line have the largest slope?
The tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.
First, let's find the derivative of the given function y = 1 + 60x³ − 2x⁵ using the power rule for differentiation:
dy/dx = 0 + 3(60)x² - 5(2)x⁴
= 180x² - 10x⁴
To find the critical points, we set the derivative equal to zero and solve for x:
180x² - 10x⁴ = 0
Factoring out common terms, we get:
10x²(18 - x²) = 0
Setting each factor equal to zero, we have:
10x² = 0 or 18 - x² = 0
From the first equation, we find x = 0.
From the second equation, we have:
18 - x² = 0
x² = 18
Taking the square root, we get:
x = ±√18
= ±3√2
So the critical points are x = 0, x = 3√2, and x = -3√2.
Now we need to evaluate the slope at these critical points. We can do this by plugging each x-value into the derivative:
When x = 0:
dy/dx = 180(0)² - 10(0)⁴ = 0
When x = 3√2:
dy/dx = 180(3√2)² - 10(3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080
When x = -3√2:
dy/dx = 180(-3√2)² - 10(-3√2)⁴ = 180(18) - 10(216) = 3240 - 2160 = 1080
The slope is 0 when x = 0 and 1080 when x = 3√2 or x = -3√2.
Therefore, the tangent line has the largest slope at x = 3√2 and x = -3√2 on the curve y = 1 + 60x³ − 2x⁵.
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The complete question is as follows:
At which points on the curve y = 1 + 60x³ − 2x5⁵ does the tangent line have the largest slope?
Solve question in image (yr 8 math, 40 pt)
Answer:
y = 3
Step-by-step explanation:
(5y - 3)/4 + 6 = 3y
5y - 3 + 24 = 12y
7y = 21
y = 3
Check.
(5*3 - 3)/4 + 6 = 3*3
(15 - 3)/4 + 6 = 9
12/4 + 6 = 9
3 + 6 = 9
9 = 9
Answer: y = 3
Step-by-step explanation:
Given equation
[tex]\frac{5y~-~3}{4} ~+~6~=~3y[/tex]
Multiply 4 on both sides (to eliminate fraction)
[tex]\frac{5y~-~3}{4} *4~+~6*4~=~3y*4[/tex]
[tex](5y~-~3)~+~24~=~12y[/tex]
Expand parenthesis and combine like terms
[tex]5y~-~3~+~24~=~12y[/tex]
[tex]5y~+~21~=~12y[/tex]
Subtract 5y on both sides
[tex]5y~+~21~-~5y~=~12y~-~5y[/tex]
[tex]21~=~7y[/tex]
Divide 7 on both sides
[tex]21~/~7~=~7y~/~7[/tex]
[tex]\Large\boxed{y=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The functions f(x) = −(x − 1)2 5 and g(x) = (x 2)2 − 3 have been rewritten using the completing-the-square method. apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
The vertex of the function f(x) exists (1, 5), the vertex of the function g(x) exists (-2, -3), and the vertex of the function f(x) exists maximum and the vertex of the function g(x) exists minimum.
How to determine the vertex for each function is a minimum or a maximum?Given:
[tex]$\mathrm{f}(\mathrm{x})=-(\mathrm{x}-1)^{2}+5$[/tex] and
[tex]$\mathrm{g}(\mathrm{x})=(\mathrm{x}-2)^{2}-3$[/tex]
The generalized equation of a parabola in the vertex form exists
[tex]$y=a(x-h)^{2}+k[/tex]
Vertex of the function f(x) exists (1, 5).
Vertex of the function g(x) exists (-2, -3).
Now, if (a > 0) then the vertex of the function exists minimum, and if (a < 0) then the vertex of the function exists maximum.
The vertex of the function f(x) exists at a maximum and the vertex of the function g(x) exists at a minimum.
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Answer:
- For the function f(x) = -(x - 1)^2/5, the vertex is a maximum point.
- For the function g(x) = x^4 - 3, the vertex is a minimum point.
Step-by-step explanation:
To determine if the vertex for each function is a minimum or a maximum, we need to analyze the leading coefficient of each function.
Let's start with the function f(x) = -(x - 1)^2/5. This function is already in vertex form, where the vertex is (1, 0).
Since the leading coefficient is negative (-1/5), the graph of f(x) opens downward. In this case, the vertex is a maximum point. You can visualize it as a peak on a graph.
Now, let's move on to the function g(x) = (x^2)^2 - 3. This function can be rewritten in vertex form as g(x) = x^4 - 3.
The leading coefficient is positive (1), so the graph of g(x) opens upward. In this case, the vertex is a minimum point. You can visualize it as a valley on a graph.
In summary:
- For the function f(x) = -(x - 1)^2/5, the vertex is a maximum point.
- For the function g(x) = x^4 - 3, the vertex is a minimum point.
Remember, the sign of the leading coefficient determines whether the vertex is a minimum or maximum point.
Point D is located at 4. Point E is 6 less than Point D. Where is E located?
Answer:
-2
Step-by-step explanation:
<________|____|___-2___|___0___|____|____|____4________>
E D
The Point E is located at -2.
Given that Point D is located at 4. Point E is 6 less than Point D.
We need to find the location of the point E.
Based on the information provided, Point D is located at 4. Now, we know that Point E is 6 less than Point D.
When we say, "less than," it means we need to subtract the given value from Point D to find the location of Point E.
If Point D is located at 4, and Point E is 6 less than Point D, then the location of Point E can be calculated as follows:
E = D - 6
Since D is 4, we can substitute that value into the equation:
E = 4 - 6
E = -2
So, Point E is located at -2.
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Dean's father, Franco, is 5 times his age. Dean is 8 years older than his sister, Helen. The sum of their ages is 62 years. How old is each person
Answer:
dean = 10
franco = 50
helen = 2
steps
you want to get the age of one of the people first
'is' means equal
'older than' means plus
'sum' means total by adding
d
f = 5d
d = 8 + h
d + f + h = 62
make sure there is 1 letter to solve for
d = 8 + h -> h = d - 8
f = 5d
d = d
d + f + h = 62
d + (5d) + (d-8)
7d - 8 = 62
7d = 70
d = 10
f = 50
h = 2
solve the equation (39+5=5a=9)
Answer:
EVALUATE
false
Step-by-step explanation:
Complex number
(39+5=5a=9)
pls solve this. this is of set class 9.
Here is the answer :
people who like both the songs is 35 and
people who like only folk songs is 100.
Use the recursive formula to find the first five terms in the arithmetic sequence.
Answer:
3, 1, - 1, - 3, - 5
Step-by-step explanation:
using the recursive formula and f(1) = 3 , then
f(2) = f(1) - 2 = 3 - 2 = 1
f(3) = f(2) - 2 = 1 - 2 = - 1
f(4) = f(3) - 2 = - 1 - 2 = - 3
f(5) = f(4) - 2 = - 3 - 2 = - 5
first 5 terms are 3, 1, - 1, - 3, - 5
Which statement is true about the value of Dante’s assets and liabilities?
He has $50,000 more in assets than in liabilities.
He has $50,000 more in liabilities than in assets.
He has $110,000 more in liabilities than in assets.
He has $160,000 more in assets than in liabilities.
Answer: te correct answer is A
Step-by-step explanation:
He has $50,000 more in assets than in liabilities.
Answer:
1. He has $50,000 more in assets than in liabilities.
Step-by-step explanation:
A weaver bought a bundle of grass of 50.00 dollars from which he made 8 mats if each mats was sold for 15.00 dollars find the percentage profit
The percentage profit is 140%
What is percentage?
Percentage can be described as the expression of a number in hundredth.
The formula for calculating percentage profit is
profit/cost price × 100
cost price= $50
selling price= $15
number of mats produced= 8
selling price of the mat= 15 × 8
= 120
Profit= selling price-cost price
= 120-50
$70
Therefore the percentage profit can be calculated as follows
= 70/50 × 100
= 1.4 ×100
= 140
Thus, the percentage profit is 140%
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OA=
Please help asap!! Thanks so much :))
In the given diagram, the value of the dashed side of rhombus OABC is 5
Distance between two pointsFrom the question, we are to determine the length of the dashed line (OA), in rhombus OABC
In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).
Using the formula for calculating distance between two points,
d =√[(x₂-x₁)² + (y₂-y₁)²]
In the diagram,
The coordinate of the origin is (0, 0)
The coordinate of point A is (3, 4)
Thus,
x₁ = 0
x₂ = 3
y₁ = 0
y₂ = 4
Putting the parameters into the formula, we get
OA =√[(3-0)² + (4-0)²]
OA =√(3² + 4²)
OA =√(9+16)
∴ OA =√25
OA = 5
Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5
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what is the formula to calculate area of square
Answer:
Step-by-step explanation:
A square is made up of 4 sides that are equal in length. They can all be called "x" or "s" or whatever variable you want. The formula for the area of a square (and also the area of a rectangle) is Area = side × side.
If you called your sides "x", then the formula is A = x × x or A = x². Another way to note the area of either a square or a rectangle is to call the "bottom" the base and one of the sides the height and then the area formula looks like this:
A = b × h
or
A = length × width
They are all the same thing.
The growth of algae can be modelled by the function f(t) = 2¹.
Find the value of t such that f(t) = 128.
Answer:
t = 7
Step-by-step explanation:
You can use your knowledge of powers of 2, or you can use logarithms to find the value of t.
Powers of 22^1 = 2
2^2 = 4
2^4 = 16
128 = 16×4×2 = (2^4)(2^2)(2^1) = 2^(4+2+1) = 2^7
Now, the equation is ...
f(t) = 2^t = 2^7
Equating exponents, we have ...
t = 7
LogarithmsTaking the log of both sides of the equation ...
2^t = 128
we have ...
t×log(2) = log(128)
t = log(128)/log(2) = 7 . . . . . divide by the coefficient of t
The value of t is 7.
__
Additional comment
The relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
The relevant rule of logarithms is ...
log(a^b) = b×log(a)
The proportional relationship between the number of hours a business operates and its total
cost of electricity is shown in the following graph.
Total cost (dollars)
1604
140-
120-
100-
80-
60-
40+
20-
A
Cr.
3 4 5
Number of hours
S
7
89
Which statements about the graph are true?
10
The total cost of electricity when the business operates for 4 hours is correct.
Slope of a lineThe slope of a line is also known as rate of change, The formula for calculating the slope of a line is expressed as:
Slope = y2-y1/x2-x1
If the proportional relationship between the number of hours a business operates and its total cost of electricity is shown in the following graph.
Using the coordinate points (1, 20) and (2, 40)
Slope = 40-20/2-1
Slope = 20/1
Slope = 20
This shows that the total cost of electricity is $20 when operating business for 1 hour.
According to the coordinate point A (4, 120), this shows that the y-coordinate of point A is represents the total cost of electricity when the business operates for 4 hours.
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If A c B and A N B= • then which of the following can be concluded about the sets A and B!
Step-by-step explanation:
Set A is a subset of set B if all the elements of A are also the elements of Set B.. (common element)
The above set have 0 common elements so.. if there is no common element and are subsets then it means that there arent any elements in both the sets
so, the answer for the question would be "both the Sets A and B are the empty sets"
Jamie has 2 dimes, 4 nickels and 8 pennies. in how many different ways can she make 26 cents?
Answer:
(2 dimes + 6 pennies)
(4 nickels + 6 pennies)
(1 dime + 2 nickels + 6 pennies)
( 2 dimes + 1 nickels + 1 penny)
(1 dime + 3 nickels + 1 penny)
5 different ways that Jamie can make 26 cents.
Chestnut Hill Coffee Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 46 espressos in all, 26 of which were single-shot. What percentage of the espressos were double-shot? Round to the nearest hundredth.
Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.
What percentage of the espressos were double-shot?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given the data in the question;
Total number of espressos sold or Whole = 46Number of single-shots or Part single = 26Number of double-shots or Part double = 46 - 26 = 20Percentage of double-shot = ?Percentage = ( Part / Whole ) × 100%
Percentage = ( Part double / Whole ) × 100%
Percentage = ( 20 / 46 ) × 100%
Percentage = 0.43 × 100%
Percentage = 43.48%
Given the number of espresso sold at Chestnut Hill Coffee Cafe as either a single-shot or a double-shot, the percentage of double-shot espressos sold is 43.48%.
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Assume the four intersecting lines are parallel. In this figure, A = 36, B = 24, and C = 60 . If D = 33,
what are the measurements of E and F?
Using the proportionality theorem, the measurements are: c. E = 22 and F = 55.
What is the Proportionality Theorem?If two transversals intersect three or more parallel lines, they divide the lines in such a way that the smaller segments are proportional to each other or have ratios that are equal to each other.
Given the following:
A = 36,
B = 24,
C = 60
D = 33.
Since all lines are parallel, then:
A/D = B/E = C/F
Find the measure of E using the ratio, A/D = B/E:
36/33 = 24/E
Cross multiply
E = (24 × 33)/36
E = 22
Find the measure of F using the ratio, A/D = C/F:
36/33 = 60/F
Cross multiply
F = (60 × 33)/36
F = 55
The answer is: c. E = 22 and F = 55.
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Identify the standard form of the equation by completing the square.
4x2 − 9y2 − 8x + 36y − 68 = 0
Answer:
[tex]\dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1[/tex]
Step-by-step explanation:
Given equation:
[tex]4x^2-9y^2-8x+36y-68=0[/tex]
This is an equation for a horizontal hyperbola.
To complete the square for a hyperbola
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.
[tex]\implies 4x^2-8x-9y^2+36y=68[/tex]
Factor out the coefficient of the x² term and the y² term.
[tex]\implies 4(x^2-2x)-9(y^2-4y)=68[/tex]
Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:
[tex]\implies 4\left(x^2-2x+\left(\dfrac{-2}{2}\right)^2\right)-9\left(y^2-4y+\left(\dfrac{-4}{2}\right)^2\right)=68+4\left(\dfrac{-2}{2}\right)^2-9\left(\dfrac{-4}{2}\right)^2[/tex]
[tex]\implies 4\left(x^2-2x+1\right)-9\left(y^2-4y+4\right)=36[/tex]
Factor the two perfect trinomials on the left side:
[tex]\implies 4(x-1)^2-9(y-2)^2=36[/tex]
Divide both sides by the number of the right side so the right side equals 1:
[tex]\implies \dfrac{4(x-1)^2}{36}-\dfrac{9(y-2)^2}{36}=\dfrac{36}{36}[/tex]
Simplify:
[tex]\implies \dfrac{(x-1)^2}{9}-\dfrac{(y-2)^2}{4}=1[/tex]
Therefore, this is the standard equation for a horizontal hyperbola with:
center = (1, 2)vertices = (-2, 2) and (4, 2)co-vertices = (1, 0) and (1, 4)[tex]\textsf{Asymptotes}: \quad y = -\dfrac{2}{3}x+\dfrac{8}{3} \textsf{ and }y=\dfrac{2}{3}x+\dfrac{4}{3}[/tex][tex]\textsf{Foci}: \quad (1-\sqrt{13}, 2) \textsf{ and }(1+\sqrt{13}, 2)[/tex]factor the gratest common factor: -5k^2+20k-30
Answer:
±5
Step-by-step explanation:
-5k²+20k-30
if u look at the equation ±5 are the greatest common factors so we ±5(±k²±4k±6)
In the circle below, if arc AB is congruent to arc CD, chord AB = 16x - 2 and chord CD = 14x + 8, find x.
Answer:
d. x = 5
Step-by-step explanation:
Chords that subtend congruent arcs are congruent.
SetupChord lengths are the same:
AB = CD
16x -2 = 14x +8
Solution2x = 10 . . . . . . add 2-14x
x = 5 . . . . . . . . divide by 2
I don’t understand what I did wrong
Step-by-step explanation:
You got your fraction messed up
It should be -3/2 or -1.5
7. [Decimal +,-]
16
9.74
+2 6.80
Answer:
169.74+26.80
= 196.54
the correct decimal answer is 196.54
For an independent t-test, if the mean of group 1=10, mean of group 2=12, ss1 =5, ss2=8, there are 6 individuals per group. what is the value of t obtained?
The value of t obtained is 4.76
Given,
Mean of group 1, [tex]M_{1}[/tex] = 10
Mean of group 2, [tex]M_{2}[/tex] = 12
[tex]SS_{1}[/tex] = 5
[tex]SS_{2}[/tex] = 8
Number of individuals per group, n = 6
The degrees of freedom are calculated as:
[tex]df = (n_{1} -1)+(n_{2} -1)[/tex] = ( 8-1) + (8-1) = 7 + 7 = 14
The difference between sample means [tex]M_{d}[/tex] is:
[tex]M_{d}[/tex] = [tex]M_{1} -M_{2}[/tex] = 10 - 12 = 2
Here n is equal for both groups which is = 8
Now,
The standard deviation of sample 1 :
[tex]s_{1} =\sqrt{\frac{SS_{1} }{n_{1} -1} } = \sqrt{\frac{5}{8-1} } = \sqrt{\frac{5}{7} } = 0.85[/tex]
The standard deviation of sample 2 :
[tex]s_{2}= \sqrt{\frac{SS_{2} }{n_{2}-1 } } = \sqrt{\frac{8}{8-1} } = \sqrt{\frac{8}{7} } = 1.07[/tex]
Now, we have to calculate the standard error for the difference of the means.
MSE = [tex]\frac{(n_{1}-1)s^{2} _{1}+(n_{2}-1)s^{2} _{2} }{(n_{1}-1)+(n_{2}-1) }[/tex]
= [tex]\frac{(8-1)(0.85^{2})+(8-1)(1.07^{2}) }{(8-1)+(8-1)}[/tex]
= [tex]\frac{10.1318}{14}[/tex]
MSE = 0.7237
Then, the standard error can be calculated as:
[tex]s_{M_{d} } = \sqrt{\frac{2MSE}{n} } = \sqrt{\frac{2 * 0.7237}{8} } = 0.42[/tex]
Now we can calculate t :
[tex]t=\frac{M_{d} }{s_{M_{d} } } = \frac{2}{0.42} = 4.76[/tex]
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workout the value of (3.5x10⁶)÷(5x10-³) and show your workout.
The value of the given expression is 7.0 × 10⁸
Simplifying an expressionFrom the question, we are to determine the value of the given expression
The given expression is
(3.5x10⁶)÷(5x10-³)
The expression can be simplified as follows
(3.5x10⁶)÷(5x10⁻³)
= (3.5 ÷ 5) × (10⁶ ÷ 10⁻³)
= (0.7) × (10⁶⁻⁽⁻³⁾)
= 0.7 × (10⁶⁺³)
= 0.7 × (10⁹)
= 7.0 × 10⁸
Hence, the value of the given expression is 7.0 × 10⁸
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A steel hex nut has two regular hexagonal bases and a cylindrical hole with a diameter of 1.6 centimeters through the middle. the apothem of the hexagon is 2 centimeters. a cylinder is cut out of the middle of a hexagonal prism. the hexagon has an apothem with a length of 2 centimeters and base side lengths of 2.3 centimeters. the prism has a height of 2 centimeters. the cylinder has a diameter of 1.6 centimeters. the equation for the area of a regular hexagon = one-half (apothem) (perimeter). what is the volume of metal in the hex nut, to the nearest tenth? use 3.14 for π.
Subtracting the volume of the cylinder from the volume of the prism, the volume of metal in the hex nut to the nearest tenth exists [tex]$$23.6 cm^3[/tex]
How to estimate the volume of metal in the hex nut?Diameter of the cylinder be d = 1.6 cm
Apothem of the hexagon be a = 2 cm
Thickness of the steel hex nut be t = 2 cm
Volume of the prism be [tex]V_p[/tex]
Volume of the cylinder be [tex]V_c[/tex]
Volume of metal in the hex nut,
[tex]$$V = V_p - V_c[/tex]
To estimate the volume of a prism,
[tex]$$V_p = A_b h[/tex]
Ab = n L a / 2
Number of the sides, n = 6
The side of the hexagon be L
Height of the prism, h = t = 2 cm
Central angle in the hexagon, A = 360°/n
A = 360°/6 = 60°
[tex]$tan (\frac{A}{2} )=(\frac{L/2}{a})[/tex]
simplifying the value of L, we get
[tex]$tan (\frac{60}{2} )=(\frac{L/2}{2})[/tex]
[tex]$tan 30}=(\frac{L/2}{2})[/tex]
[tex]$tan (\frac{\sqrt{3}}{3} )=(\frac{L/2}{2})[/tex]
Solving for L/2:
[tex]$\frac{2 \sqrt{3}}{3} =\frac{L}{2}[/tex]
Solving the value of L, we get
[tex]$2\frac{2 \sqrt{3}}{3} =L[/tex]
[tex]$\frac{4 \sqrt{3}}{3} =L[/tex]
[tex]$L=4 \sqrt{3}/3 cm[/tex]
Ab = n L a / 2
Substitute the values in the above equation, we get
[tex]$A_b=\frac{6 (4 \sqrt{3}/3)(2)}{2}[/tex]
[tex]$$A_b=24 \sqrt{3}/3 $$cm^2[/tex]
[tex]$A_b=8 \sqrt{3} cm^2[/tex]
[tex]V_p = A_b h[/tex]
substitute the values in the above equation, we get
[tex]$V_p=(8 \sqrt{3})(2)[/tex]
[tex]$V_p=16 \sqrt{3} cm^3[/tex]
[tex]$$V_p=16 (1.732) cm^3[/tex]
[tex]$$V_p=27.712 cm^3[/tex]
To estimate the volume of cylinder,
[tex]$V_c[/tex] = (π[tex]d^2[/tex]/4) h
Here, π = 3.14 and d = 1.6 cm
Height of the cylinder, h = t = 2 cm
substitute the values in the above equation, we get
[tex]$V_c=[3.14 (1.6) / 4] (2)[/tex]
[tex]$V_c=[3.14 (2.56) / 4] (2)[/tex]
[tex]$V_c=(2.0096) (2)[/tex]
[tex]$$V_c=4.019 cm^3[/tex]
Substitute the values in the equation, we get
[tex]$$V=V_p-V_c[/tex]
[tex]$$V=27.712 - 4.019[/tex]
[tex]$$V=23.693 cm^3[/tex]
[tex]$$V=23.6 cm^3[/tex]
Therefore, the volume of metal in the hex nut, to the nearest tenth exists [tex]$$23.6 cm^3[/tex].
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5107465
State the value of digit in figures ?
Place value of 5 in 5107465 is equal to 5,000,000.
According to the statement
we have given that the a value and we have find the place value of a digit 5 in this numbers.
So, For this purpose,
The given digit is 5107465
And we have find the value of digit 5 in it so,
we know that,
A Place value is the position or place of a digit in a given number .
As we can see that, in given number 5107465:-
5 is at one million place = 5 * 1,000,000 = 5,000,000
1 is at hundred thousand place = 1 * 100000 = 100000
0 is at ten thousand place = 0 * 10000 = 0
7 is at thousand place = 7 * 1000 = 7000
4 is at hundred place = 4 * 100 = 400
6 is at tens place = 6 * 10 = 60
5 is at unit place = 5 * 1 = 5
Therefore,
Place value of 5 in 5107465 is equal to 5,000,000.
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HELP PLS WHAT IS X
Darn
Answer:
x = 55°
Step-by-step explanation:
x , 35° , 90° lie on a straight line and sum to 180° , that is
x + 35° + 90° = 180°
x + 125° = 180° ( subtract 125° from both sides )
x = 55°
