Approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
What is right triangle ?Right triangle is a triangle in which one angle is of [tex]90^0[/tex] .
We have,
Hypotenuse [tex]=92[/tex] cm
Let,
Perpendicular [tex]= x[/tex] cm
Base [tex]=x[/tex] cm
So,
Using the Pythagoras theorem,
[tex]H^2=P^2+B^2[/tex]
So,
[tex]92^2=x^2+x^2[/tex]
[tex]92^2=2x^2[/tex]
⇒
[tex]2x^2 = 8464[/tex]
[tex]x^2 = 4232[/tex]
⇒[tex]x=65.05[/tex]
So,
Perpendicular [tex]= 65.05[/tex] cm
Base [tex]=65.05[/tex] cm
So,
The required wood to complete support [tex]=65.05+65.05=130.1[/tex] cm
Hence, we can say that approximately [tex]130.1[/tex] cm more centimeters of wood will need to complete the support.
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If $n$ is a positive integer such that $2n$ has 28 positive divisors and $3n$ has 30 positive divisors, then how many positive divisors does $6n$ have
As per the given equation the total number of positive divisors that $6$ has is 38.
What is the positive divisor?The divisors (or factors) of a positive integer are the integers that evenly divide it.
The formula for calculating the total number of divisor of a number ′n′ where n can be represent as powers of prime numbers is shown as.
If N= paqbrc
Then total number of divisors = (a+1)(b+1)(c+1).
If we want to find the positive divisors for an integer n, we just take the integers 1, 2, 3, . . . , n, divide n by each, and those that divide evenly make up the set of positive divisors for n.
The divisors (or factors) of a positive integer are the integers that evenly divide it
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1 3/8 - 1/12 as a fraction
Answer:
31/24 or 1 7/24
Step-by-step explanation:
1 3/8 in an improper fraction is 11/8:
1 times the denominator (8)= 8, add the numerator (3), and get 11
then keep the original denominator
multiply 11/8 by 3 to get 33/24
multiply 1/12 by 2 to get 2/24
now you have the same denominator and can subtract
33/24-2/24= 31/24
if AG=5x-24 and GB=3x-12, find GB
The value of line GB is 6
How to determine the value of the lineFrom the diagram shown, we can see that AG, GB and AB form a triangle with two of its sides being equal.
Also, line AG = line GB
Where;
Line AG = 5x - 24Line GB = 3x - 12Then, we have;
Line AG = LIne GB
Substitute the expressions, we have;
5x - 24 = 3x - 12
Collect like terms
5x - 3x = - 12 + 24
Add or subtract like terms
2x = 12
Divide both sides by the coefficient of x
x = 12/ 2
x = 6
The, GB = 3(6) - 12 = 6
Hence, the value is 6
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Trapezoid DEFG is dilated by scale factor of 2\3 to form trapezoid D'E'FG. Side E'F' measures 32. What is the measure of side EF?
Answer: 48
Step-by-step explanation:
Given
Trapezoid DEFG is dilated by a scale factor of [tex]\frac{2}{3}[/tex]
[tex]E'F'=32[/tex]
Suppose the length of EF is [tex]x[/tex]
Multiply the side length of DEFG by [tex]\frac{2}{3}[/tex] to form E'F'
[tex]\Rightarrow E'F'=x\times \dfrac{2}{3}\\\\\Rightarrow 32=x\times \dfrac{2}{3}\\\\\Rightarrow x=16\times 3\\\Rightarrow x=48[/tex]
[tex]\therefore EF=48[/tex]
Write the name of the polynomial that is obtained when two polynomials are divided and leaves no remainder.
Answer:
smlnsılasınız
Step-by-step explanation:
ben biyoml sou rmifn ilpuanlazı m baan
a
How do i find the solution(s) ?
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
A package states that there are 60 calories in 12 crackers and 75 calories in 15 crackers. Since the relationship is proportional, how many calories are there in 180 crackers?
answer:
900 calories
step-by-step explanation:
there are 60 calories in 12 crackers or 5 calories per crackers
60/12 = 5
there are 75 calories in 15 crackers or 5 calories per crackers
75/15 = 5
if there are 180 crackers
180 • 5
900 calories total
Find the area and circumference of a circle with a radius of 18 in. Round
to the nearest hundredth.
ANSWER:-
where is the given part
The measures of the angles of a triangle are shown in the figure below. Solve for x.
A fare meter in a taxi calculates the fare by starting at $2.40 when the trip starts, then adding $0.32 for every eighth of a mile traveled. If x represents the length of the trip in miles, what function models the total cost of the trip?
Answer:
i think its 7.5
Step-by-step explanation:
What is the circumference of the circle? Use 7 for s. 35 cm 2 O 44 cm 55 cm 100 cm O 110 cm Mark this and return Save and Exit INT
Answer:
55
Step-by-step explanation:
HELP ASAPPP PLEASEEEEEEEE...
NO FAKE ANSWERS OR LINK
Answer:
B is the correct answer
Step-by-step explanation:
AND NO CHEATING v-v
,’l
Right triangle $ABC$ has one leg of length 6 cm, one leg of length 8 cm and a right angle at $A$. A square has one side on the hypotenuse of triangle $ABC$ and a vertex on each of the two legs of triangle $ABC$. What is the length of one side of the square, in cm
One side of the square has a length of 10 cm.
The triangle $ABC$ is a right triangle and it has one leg of length 6 cm and one leg of length 8 cm. Using the Pythagorean theorem, we can find the length of the hypotenuse:
c^2 = a^2 + b^2
c = √(a^2 + b^2)
c = √(6^2 + 8^2)
c = √(36 + 64)
c = √(100)
c = 10
So the hypotenuse of triangle $ABC$ has a length of 10 cm.
The square has one side on the hypotenuse of the triangle $ABC$ and a vertex on each of the two legs of the triangle $ABC$. Since the square is on the hypotenuse of the triangle, one side of the square has the same length as the hypotenuse of the triangle, which is 10 cm.
Therefore, one side of the square has a length of 10 cm.
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True or False:
You can choose your own x-values.
True
False
The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.
Penelope wants to go on a kayak trip. She has a budget of $75. To rent a kayak, there is a fixed $35 fee and an hourly fee of $4. Write an inequality that would be used to solve for the maximum number of hours Penelope can rent the kayak on her budget.
A. 35x + 4 ≤ 75
B. 35x + 4 ≥ 75
C. 35 + 4x ≤ 75
D. 35 + 4x ≥ 75
The inequality that shows the maximum number of hours Penelope can rent is 35 + 4x ≤ 75
What is an equation?An equation shows how two or more numbers and variables are related to each other.
Let x represent the number of hours to rent
There is a fixed $35 fee and an hourly fee of $4. Hence:
Total cost = 4x + 35
Penelope has a budget of $75. hence:
35 + 4x ≤ 75
The inequality is 35 + 4x ≤ 75
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Ans the question............
very urgent
Answer:
It's false.
Step-by-step explanation:
By breaking the middle term.
Put the root into equation, if it equals 0, then it's a root.
2x^2+3x-1=0
2(1/2)^2+3(1/2)-1=0
2(1/4)+3/2-1=0
2/4+3/2-1=0
1/2+3/2-1=0
(1+3-1*2)/2
4-2/2 = 1
1 is not equal to 0.
Evaluate 8/9 power of 2 as a fraction in simplest form
Answer:
64/81 or, 0.790123456 repeating
Step-by-step explanation:
use the properties of exponents to get 8^2/9^2 and then evaluate to get the answer.
Find the distance between (–2, –3) and (–6, –12). Round the answer to the nearest hundredth, if necessary.
a.
9.85 units
c.
13 units
b.
7.26 units
d.
17.49 units
Answer:
A. 9.85 units
Step-by-step explanation:
Please help no links please!!!!!
The first one is 200 cause 360-160=200 cause it is the arc
Multiply: -z^3(5 + z - 4z^2)
A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is 1.1 inches in diameter. If the barrel turns 47 times in being rolled up the ramp, how long is the ramp?
The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
C = πd
where 'd' is the diameter of the circle
The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.
In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.
Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,
47 × 3.46 inches = 161.62 inches
Therefore, the length of the ramp is 161.62 inches.
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A magazine cover measures 28 cm by
22 cm. The title uses one-quarter of the area of
the cover. How much area is needed for the
title?
Help me ASAP!!
Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot?
A. -0.95
B. -0.5
C. 0.5
D. 0.95
Answer:
b
Step-by-step explanation:
There is not a strong relationship between the points making the number 0.5 and it is going down so it is negative
Answer:
−0.5
Step-by-step explanation:
Find the exact area of a circle with diameter of 10 units.
10
100
5
25
Here ^^
--------------
A≈78.54
to be exact it would be 25
--------------
bye have a good morning/afternoon/evening!! <3
- berry
Step-by-step explanation:
the area of a circle with the diameter of 10 is 78.5
Dilation result in what types of polygons
Answer:
Step-by-step explanation:
Similar polygons. Only side lengths change; the angles remain the same through dilation.
At Florida A&M University, the ratio of students from Florida to students not from Florida is about `3\ :\ 1`.
How many of its `12000` students are from Florida?
Based on the information given, the number of students from Florida will be; 9000 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3 : 1
The Total number of students = 12000
Fraction from Florida = 3/4
Fraction of students not from Florida = 1/4
Therefore, the students from Florida will be:
= 3/4 × 12000
= 9000
Hence, the number of students from Florida is 9000.
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Law of sines: Which measures are accurate regarding triangle JKL? Check all that apply. M∠K = 84° m∠K = 94° k ≈ 3. 7 units k ≈ 4. 6 units KL ≈ 2. 5 units KL ≈ 3. 2 units
The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.
Who defines median?The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.
the class interval that have median.
total is frequency is as -
∑f = 30
median class of corresponds to half of the value
∑th is the value
i.e. 15th value.
least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.
[tex]2+8+9=19[/tex]
So, corresponds to the class interval = [tex]20 < h\leq 30.[/tex]
Hence, median class is [tex]20 < h\leq 30.[/tex]
Since this is a grouped data we use the midpoint
The median:-
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Solve each equation by taking square roots. Show your work. Simplify your answers. Do not write your answers in decimal form.
Answer:
1) n=±2[tex]\sqrt{5}[/tex]
2) a=±3[tex]\sqrt{10}[/tex]
Step-by-step explanation:
1) [tex]n^{2}[/tex] =20
✰Take the square root of both sides n=±[tex]\sqrt{20\\}[/tex]
✰ Simplify [tex]\sqrt{20\\}[/tex] to 2[tex]\sqrt{5}[/tex]
→ n=±2[tex]\sqrt{5}[/tex]
⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆
2) [tex]a^{2}[/tex] =90
✰ (Same as above) Take the square root of both sides a=±[tex]\sqrt{90\\}[/tex]
✰ Simplify [tex]\sqrt{90}[/tex] to 3[tex]\sqrt{10}[/tex]
→ a=±3[tex]\sqrt{10}[/tex]
Which rational number is equivalent to 2.42
Answer:
121/50
Step-by-step explanation:
121/150 =2.42
Answer this pls ASAP
Answer:
19cm^(3)
Step-by-step explanation:
Answer:
V = 9π cm³
Step-by-step explanation:
We require to find the height (h) of the cylinders
The volume (V) is calculated as
V = Ah ( A is the base area and h the height ), then
3πh = 18π ( divide both sides by 3π )
h = [tex]\frac{18\pi }{3\pi }[/tex] = 6
Then the height of the smaller cylinder = 6 - 3 = 3 cm
V = 3π × 3 = 9π cm³ ← volume of smaller can