Based on the fact that this is an equilateral triangle, the value of y can be found to be 5.
What is the value of y?The figure given is an equilateral triangle which means that the lengths of all the sides are equal.
As DC is equal to 20, it means that all the other sides should be 20 as well.
This means that the value of y is:
20 = 15 + y
y = 20 - 15
y = 5
In conclusion, y is 5.
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1x+1.5x=3275 What is the answer?
Answer: x=1308.8
Step-by-step explanation:
Please help now ASAP pleaseee
I NEED HELP HURRRYYYY
The rate which the mulch is being applied is 250,000 cm^3/cm^2
How to determine the rate which the mulch is being applied?The statement is given as
Rita is applying 250,000 cm^3 of mulch per m^2 of the garden space
This means that the rate is
Rate = Volume of mulch/Area of garden space
Substitute the known values in the above equation
So, we have
Rate = 250,000 cm^3/cm^2
Hence, the rate which the mulch is being applied is 250,000 cm^3/cm^2
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17. For what values of x and y is quadrilateral ABCD a
parallelogram?
a.
b.
C.
d.
D
4y+20
9x-40
x = 12, y = 3
x = 6, y = 12
x = 6, y = 3
x = 74, y = 105
C
8x-34
6x-4
The values of x and y that makes quadrilateral ABCD a parallelogram are x = 9 and y = 3
How to determine the values of x and y?The figure that completes the question is added as an attachment
The opposite sides of a parallelogram are congruent
This means that
5x - 20 = 7x - 38
4y + 11 = 6x - 31
So, we have
5x - 20 = 7x - 38
Collect the like terms
7x - 5x = 38 - 20
Evaluate the like terms
2x = 18
Divide through by 2
x = 9
Substitute x = 9 in 4y + 11 = 6x - 31
So, we have
4y + 11 = 6 x 9 - 31
Evaluate the product
So, we have
4y + 11 = 23
This gives
4y = 12
So, we have
y = 3
Hence, the values of x and y that makes quadrilateral ABCD a parallelogram are x = 9 and y = 3
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Does anyone know how to solve 7 and 8?
The area and perimeter of the figures are 7) area=544 cm² and perimeter = 120 cm (8)area = 90cm² and perimeter = 46 cm .
Area is defined as the total surface occupied by a figure. The SI unit of area is m² .
Area of rectangle is given by the product of its two sides the length and Width
Perimeter is the sum of all sides of a two-dimensional figure.
7) In the first figure we have to separate it into a square and a rectangle.
Area of the square on top = 16 × 16 = 256 cm²
Length of the longest side in the second rectangle = 16 + 8+12=36cm
Area of the second rectangle = 36 × 8 = 288 cm²
Total area of the figure = (288 + 256) cm² = 544 cm²
Perimeter = 16 + 16 + 8 + 8 + 36 + 8 + 12 + 16 = 120 cm (taking all sides anti-clockwise from the top.)
8)Here we separate the two figures into two rectangles .
Length of the rectangle = 12 cm
Area of the first rectangle = 12 × 5 = 60 cm²
Area of the second rectangle = (6 × 5) cm² = 30cm²
Total area = (60 + 30)cm² = 90cm²
Perimeter = (5 + 6 + 7 + 5 + 12 + 11) cm² = 46 cm
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Part H
PLEASE HELP !!
Complete the table to find the rule for the dilation, the coordinates of trapezoid P′Q′R′S′, and the coordinates of the dilated image, trapezoid P″Q″R″S″
given coordinates dilated coordinates
p' ( 4, 6 ) p'' ( 4, -6 )
Q' ( 2, 2 ) Q'' ( 2, -2 )
R' ( 6, 2 ) R'' ( 6, -2 )
S' ( 6, 6 ) S'' ( 6, -6 )
Given data
p' ( 4, 6 )
Q' ( 2, 2 )
R' ( 6, 2 )
S' ( 6, 6 )
How to find the coordinates of the dilated image trapezoid P″Q″R″S″ using the rule in the tableThe given coordinates is gotten by ( x, y ) and the coordinates is gotten to be ( x, -y ). Applying the rule is solve as follows:
given coordinates dilated coordinates
( x, y ) ( x, -y )
p' ( 4, 6 ) p'' ( 4, -6 )
Q' ( 2, 2 ) Q'' ( 2, -2 )
R' ( 6, 2 ) R'' ( 6, -2 )
S' ( 6, 6 ) S'' ( 6, -6 )
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What is the value of each logarithm?
a. log₅125
The answer for the given logarithmic function is 3
Logarithm is a mathematical tool used to make high value calculations simple.
It is the exponent to the power of which a number must be raised to give a certain result.
Some of the important formulas in logarithm are:
loga[tex]b^{n}[/tex] where a is considered as base of the logarithm and b is the argument
is given as nlogab
when base and the argument is same , log is given as 1
logabc where a is the base is given as logab+logc
loga b/c where a is the base is given as logab-logac
Now it is given to us to find the value of log₅125
where 5 is the base and 125 is the argument
125 = 5x5x5 which is [tex]5^{3}[/tex]
hence 125 can be written as 5^3
Thus the logarithmic function becomes
log₅125=log₅[tex]5^{3}[/tex]
thus it can be written as3log₅5
Now we know that log₅5 can also be written as log5/log5
And hence log5/log5 becomes 1
Thus 3log₅5 = 3*1 =3
Hence the answer to the given logarithm is 3
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All numbers that are divisible by 3, are divisible by 9. What is a gals Statement?
Answer: False, it's the other way around
Step-by-step explanation:hope it helps, brainliest? i could really use it
in the polynomial $(ax^6 bx^8 cx^3 d)(x^5 ex^4 f)(x^2 gx h)$, letters $a$ through $h$ are all nonzero constants. what is the degree of the polynomial?
I assume you mean the polynomial
[tex](ax^6 + bx^8 + cx^3 + d) (x^5 + ex^4 + f) (x^2 + gx + h)[/tex]
The degree of this polynomial is the exponent of the largest power of [tex]x[/tex] in the expansion of the product.
This term is the product of the largest power terms in each factor. These are
[tex]ax^6 + bx^8 + cx^3 + d \implies bx^8[/tex]
[tex]x^5 + ex^4 + f \implies x^5[/tex]
[tex]x^2 + gx + h \implies x^2[/tex]
So, the largest power term in the polynomial is
[tex]bx^8 \cdot x^5 \cdot x^2 = bx^{15}[/tex]
and the degree is 15.
What is the distance between points V(1,3) and W(6, -1)?
Either leave the answer exact or round to 1 decimal place.
The distance between points is 9.11 .
What is the Distance Between Two Points?
The length of the line segment connecting any two points represents the distance between them. There is just one line that connects the two places. Therefore, by measuring the length of the line segment that connects the two sites, the distance between them may be determined.the distance between points V(1,3) and W(6, -1)
[tex]d = \sqrt{( x_{2}- x_{1})^{2} + ( y_{2} - y_{1})^{2} }[/tex]
so x₁ = 1 , x₂ = 3 and y₁ = 6 , y₂ = -1
[tex]vw = \sqrt{( 3-1 )^{2} + ( -1 - 6 )^{2} }[/tex]
[tex]vw = \sqrt{( 2 )^{2} + ( -7)^{2} }[/tex]
[tex]vw = \sqrt{4 + 79}[/tex]
[tex]vw = \sqrt{83}[/tex]
vw = 9.110433 ≈ 9.11
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If you want to bisect a line segment, what would be the order of the following steps?
If you are aware of the line's length or have access to a ruler, bisecting (or cutting in half) a line is not difficult. However, you can still cut the line in half with a straightedge and compass even if you don't know how long it is.
Draw the section of the line you need to divide. You must use a straightedge to create the line segment if it is not already present. Put the compass needle on either terminal to accomplish this. Approximately half of the length should be covered by the compass when it is opened.
Using the compass, aim to keep the needle on the endpoint and refrain from changing the compass's setting. To do this, position your straightedge on the intersection of the arcs above the line and line them up with the intersection below the line. The line is bisected at a 90-degree angle by the line you draw connecting the two arc intersections.
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Divide and simplify. ∛81 x⁵ y³ / ∛3 x²
The simplest form of the expression is 3xy .
Expressions in science are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by academic degree operator in between.Simplifying expressions mean editing an identical math expression with no like terms and through a compact manner.To change expressions, we have a tendency to tend to combine all kind terms and solve all the given brackets, if any, so at intervals the simplified expression, we have a tendency to are planning to be entirely left with not like terms that cannot be reduced any.We have given an expression ∛81 x⁵ y³ / ∛3 x² .
On simplifying , we get
[tex]\frac{(81x^5y^3)^{1/3}}{(3x^2)^{1/3}} = \frac{(3^4x^5y^3)^{1/3}}{(3x^2)^{1/3}}\\\\= \frac{3^{4/3}x^{5/3}y}{3^{1/3}x^{2/3}} \\\\= 3xy[/tex]
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Find the inverse of each function. Is the inverse a function? f(x)=4√x
The inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16
We are given the function:
f (x) = 4√x
we need to find the inverse of the function.
First we will write the function in the form of x.
y = 4√x
y / 4 = √x
x = y² / 4²
x = y² / 16
So, the inverse function will be:
f ⁻¹ (x) = x² / 16
Therefore, the inverse for the function f (x) = 4√x will be f ⁻¹ (x) = x² / 16
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HELP PLS IM CONFUSED
Use long division to convert 3 4/5 to a decimal.
Answer:3.8
Step-by-step explanation:
3.8
A rectangular classroom is 9 feet wide. It is five times as long as it is wide. What is the perimeter of the classroom?
The perimeter of rectangular classroom with its length five times its width is 108 ft.
What is a Rectangle?Rectangle is two - dimensional shape with four sides such that the pair of two opposite sides are equal and parallel to each other.
Given is the width of rectangular classroom which is 9 ft wide. Its length is five times its width. From this, we can write -
Width [W] = 9 ft
Length [L] = 5W = 5 x 9 = 45 ft
The perimeter of rectangle is the sum of the length of its sides. Therefore, the perimeter [P] of the rectangle will be -
[P] = 2(L + W) = 2(9 + 45) = 2 x 54 = 108 ft
Therefore, the perimeter of rectangle with its length five times its width is 108 ft.
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What is the quotient of 2 5/6
The value of the quotient is 2. 83
What is a fraction?A fraction can be defined as the part of a whole.
The types of fractions are;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsIt is also important to note that quotient also mean division.
Now, let's convert the mixed fraction to improper fraction.
Multiply the denominator and the whole number = 6 × 2 = 12Add the value to the numerator , 12 + 5 = 17Divide the value by the denominator, 17/6We then have;
= 17/6
Find the quotient
= 2. 83
Thus, the value of the quotient is 2. 83
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Mayerlin wants to ride her bicycle 56 miles this week. She has already ridden 8 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
If in the next 6 days she rides an average of 8 miles per day, she will meet her goal.
Step-by-step explanation:
What is the average number of miles she would have to ride each day to meet her goal?
We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:
56mi - 8mi = 48mi
Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:
D = 48mi/6 = 8mi
This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.
42086
14
12
10+
4
2
422
+ 9
2 4 6
8 10 12 14 16 x
The graph of h(x) = |x-10| +6 is shown. On which
interval is this graph increasing?
O (-00, 6)
O(-00, 10)
(6,00)
O (10,00)
Step-by-step explanation:
42086
14
12
10+
4
2
422
+ 9
2 4 6
8 10 12 14 16 x
42595
Sofia is a tutor who charges 25 dollars per hour. she would like to earn 440dollars to buy a new gaming console .write am equation to show how much money m sofia makes after working h hours
Answer: 440-25h = m
Step-by-step explanation:
She makes 25 dollars per hour (25h=m)
If u subtract the amount that the console costs the equation becomes
440-25=m
Im assuming u are in 7th grade math which is what i was in last year so i hope this helps! :)
In one week, a printing center made 1,222 copies of a 46 page article. The printing center also
printed 485 copies of a 16 page essay. How many pages did the printing center print during the
week?
If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.
Number of pageFirst step is to calculate first sets printed
Number of pages=(1222 copies×46 page article)
Number of pages=56,212
Second step is to calculate the second set printed
Number of pages=(485 copies×16 page article)
Number of pages=7,760
Third step is to calculate the total pages
Total pages=56,212+7,760
Total pages=63,972 pages
Therefore If in one week, a printing center made 1,222 copies of a 46 page article. The printing center also printed 485 copies of a 16 page essay. The number pages that the printing center print during the week is: 63,972 pages.
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Melinda is at tennis practice. She hits 32 tennis balls a minute. She hit 45 tennis balls before practice. If Melinda hit a total of 1,645 tennis balls, how long was she at practice?
If Melinda hit a total of 1,645 tennis balls and she hits 32 balls per minute, it means she has been in the tennis practice for 50 minutes
How many of the hits of 1645 are attributable to only practice?
Out of the 1645 tennis balls so far hit by Melinda only 1,600 are attributable to the tennis practice because she has already hit 45 tennis balls before the tennis practice commenced
number of tennis balls in tennis practice=1645-45
number of tennis balls in tennis practice=1600
number of minutest at practice=1600/32
number of minutest at practice=50 minutes
In essence, Melinda has been at the practice for 50 minutes
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Use the properties of logarithms to evaluate each expression.
log₃27-2 log₃3
The value of expression log₃27-2 log₃3 is equal to 1.
Given that the expression is log₃27-2 log₃3.
We are told to find the value of the expression by finding the logarithmic functions.
Change of base theorem is basically used when we have the base of the number having different base from 10 as logarithm having 10 base is required to find the log value from table.
log₃27-2 log₃3=log₃27-log₃[tex](3)^{2}[/tex]
([tex]log_{b}a[/tex] is equal to log a/log b and m log a=log [tex]a^{m}[/tex])
=log₃27-log₃9
=log₃(27/9)
=log₃3
=log3/log3
=1
Hence the value of expression log₃27-2 log₃3 is equal to 1.
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In the given figure, ABCD is a square of side 14 cm. Find the area of the shaded region. Take π = 2²/2)
Answer:
Step-by-step explanation:
Area of shaded region = Area of Square ABCD− Area of 4 quadrants of circle
Side of square =14cm
Area of Square =(side)
2=(14) 2=196cm 2Radius of circle = half of the side of square = 214=7cmArea of quadrant of circle = 41πr 2
Area of 4 quadrants of circle =4( 41 πr 2)= 722×7×7=154cm 2 Area of shaded region =196−154=42cm 2
Evaluate each logarithm.
log₄(256)
The value of log₄(256) is 4
In order to solve logarithm with different bases change of base rule is used, according to which a logarithm operation can be rewritten as a fraction of logarithms having a new base
logₐb = (logₓb) / (logₓa)
log₄(256) = (log₁₀256) / (log₁₀4)
= (log₁₀4⁴) / (log₁₀4)
As per the power rule of logarithms, the logarithm of an exponential number is equal to exponent times of the logarithm it means when an logarithmic term has an exponent it is transferred to the front of the logarithm and the logarithm is multiplied with it.
(∵ logₐMⁿ = n logₐM)
=(4log₁₀4) / (log₁₀4)
= 4
Hence, it is seen that the value of the above question, log₄256 is 4.
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The teacher kept track of what students drank at a school picnic. For 3 grades, the ratios of the amount of water consumed to the amount of fruit juice consumed were equivalent. Complete the table
Answer:
8 and 12
Step-by-step explanation:
!!! HELP FAST I ONLY GET 30 MINUTES ON THIS QUIZ !!!! 40 POINTS!
Change the following numbers from standard form to their expanded form.
A. 415.65
B. 2.675
C. 54.906
D. 71.04
E. 9.001
F. 10.298
All you need to put is the answers you don't have to explain it, put all the answers for brainiest, full star, and of course a thanks!!!
Step-by-step explanation:
a 4.1565×10²
b 2.675×10°
c 5.4906×10¹
d 7.104×10¹
e 9.001×10°
f 1.0298×10¹
The shape of a water tower can partially be modeled by a sphere in which the diameter is 28 feet. A painter needs to calculate the surface area of this part of the water tower to accurately estimate the amount of paint needed for the job. What is the surface area of this portion of the water tower to the nearest square foot? Surface area: square feet
What is the equation of this line?
Responses
y=2x−3
y=−12x−3
y=−2x−3
y=12x−3
2 3/4 - 1 1/2
30 points
Answer:
Step-by-step explanation:
it is - 2 3/4 or it would be -2.75
Divide and simplify -1/6 divided by 2/6
Answer:
-1/2
Step-by-step explanation:
[tex]-\frac{1}{6}[/tex] ÷ [tex]\frac{2}{6}= -\frac{1}{6}[/tex] x [tex]\frac{6}{2} \\[/tex] = [tex]\frac{-6}{-12} =- \frac{1}{2}[/tex]