Given: Two triangle AGHI AJKL.
To find: measure of side JK and round the answer nearest tenth.
Solution: from figure
IH=5, GH=8,LK=16 from similarity rule
IH/LK=GH/JK
5/16 = 8/x
⇒5x=16x8
x=16×8/5
⇒x=25.6 or
x= 26 (nearest tenth), this is side JK
Definition of TriangleA triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.
Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.
Shape of TriangleTriangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.
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What is the difference between an undecidable problem and an intractable problem?
Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.
What does a tractable problem actually mean?a technique that completes a manageable task in a polynomial period of time. Utilizing the polynomial upper bound is advantageous. A problem is said to be intractable if it cannot be solved in a polynomial amount of time. The bound has a minimum that is exponential.
Here,
Intractable problems would be those in which there is significant proof that, while they can be solved by a desktop, they cannot be solved quickly enough to be actually useful in practice.
Undecidable troubles are those for which there will never be a computer solution, whereas undecidable difficulties are those for which there will never be a computer solution.
Therefore , the solution of the given problem of tractable problem comes out to be Undecidable troubles are those for which there will never be a computer solution.
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Given f(x) = 3x - 5.
What is fl-4)?
Answer:
f(4)=7
Step-by-step explanation:
f(x)=3x-5
f(4)=3(4)-5
f(4)=12-5
f(4)=7
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PAST DUE HOMEWORK! NEED HELP QUICK!!
Answer:
d = 46.15
A = 1672.76
Hope this helps!
Answer:
Diameter = 46.18 inches
Area = 1,674.09 square inches
Step-by-step explanation:
Circumference = pi x diameter
145 = 3.14d
divide both sides by 3.14
d = 46.1783 inches
------------------------
radius = 1/2 x diameter
r = 23.09
Area = (pi)(r)^2
A = (3.14)(23.09)(23.09)
A = 1,674.09 square inches
please give a step by step explanation for this question
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]
Ms. Sack earns $125 teaching five workout classes at Orange Theory. If she gets a 10% raise, how much will Ms. Sack earn per class after the raise?
What is the slope of the line that goes through (-7, -13) and (1,-5).
Answer:
1
Step-by-step explanation:
The slope would be 1. Using the equation y^2 - y^1 / x^2 -x^1, you would substitute the plots into the equation. -5 + 13 / 1 + 7 = 8/8 or 1. The 13 and 7 would be added because subtracting a negative is the same as adding a positive.
A package of 10 cans of soup costs $14. An individual can costs $2. You need at least 25 cans. Find the price of each combination of items.
Step-by-step explanation:
Since each package of 10cans costs $14
25cans would be 2 packages + 5 (since a package has 10)
So
14$ x 2 + 2$ x 5
=38$.
The perimeter of a rectangle is 84 feet long. The
length is six more than two times its width. What are
the dimensions of the rectangle? (Hint: P = 2L + 2W)
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
Establish a perimeter.The perimeter, or total length, of a shape is referred to as its perimeter in geometry. A shape's perimeter is calculated by summing the lengths of all of its sides and edges. By adding together the lengths of all a shape's sides, one may determine its perimeter. The circumference of a field, for instance, will be 78 yards for a rectangle with dimensions of 24 yards long by 15 yards wide.
Here,
Given :
Perimeter of rectangle = 84 feet
Thus,
Length is 6 times more than its 2 time width
=> 6L = 2W
=> W = 3L
In the perimeter formula:
=> 3L + 2L =84
=> 5L = 84
=>L = 84/5
=>16.8
and
W = 3L
=> W = 3*16.8
=> W = 50.4
Therefore , the solution of the given problem of perimeter comes out to be length = 16.8 and width = 50.4
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
From the equation, the value of x is 13
What is a Square Number?When an integer is multiplied by the same integer, the resultant number is known as a square number. Simply put, a square number is a number that is obtained by the product of two same numbers but in this case, it is an equation, so the equation in the bracket multiplies itself.
Properties of Square NumbersSquare numbers always end with the digits 0, 1, 4, 5, 6, and 9. The number of zeros at the end of a square number is always even. This means if a number has an odd number of zeros at the end, then the number is not a square number. The square of even numbers is always even, and the square of odd numbers is always odd(x – 7)² = 36
Raising both sides by 1/2
x-7 = √36
x - 7 = 6
x = 6+7
x = 13
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What is the inverse of 12?
The inverse of 12 as calculated by the given data is found to be 1/12.
The inverse can be found by finding its reciprocal the number ,
inverse of 1 = 1 / 12
There are two types of inverse , additive inverse and multiplicative inverse .
The additive inverse can be found by finding the negative of the number. The multiplicative inverse, often known as the reciprocal, is another inverse of a number.
The multiplicative inverse, often known as the reciprocal, is another inverse of a number. The product of a reciprocal multiplied by the original number is always 1.
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47.3 , 48.1 ,47.4 ,47.16 , 47.07 least to greatest,please help(,:
Answer:
47.07, 47.16, 47.3, 47.4, 48.1
Step-by-step explanation:
lol
Solve each by elimination
x+y =19
x - y = -7
Answer:
x = 6
y = 13
Step-by-step explanation:
x + y = 19
x - y = -7
To eliminate x, subtract ther second equation from the first
2y = 26
y = 13
To eliminate y, add the equations
2x = 12
x = 6
n \triangle NOP,△NOP, \overline{PN}\cong \overline{OP}
PN
≅
OP
and \text{m}\angle P = 50^{\circ}.m∠P=50
∘
. Find \text{m}\angle O.m∠O.
The value of the measure of ∠O in the given triangle will be 65°
What is triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In ΔNOP;
PN ≅ OP
So, ∠O = ∠N
And, Measure of ∠P = 50°
Now,
In the ΔNOP;
The sum of all the three angles are 180°.
The value of the measure of ∠O = x
We get;
∠O + ∠N + ∠P = 180°
Substitute ∠P = 50° and ∠O = ∠N = x we get;
x + x + 50 = 180
2x + 50 = 180
2x = 180 - 50
2x = 130
x = 65
Thus, The value of the measure of ∠O will be 65°.
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Ben's mom is 22 years older than ben. In 5 years she will be 3 times as old as he will be. How old are they now?
In linear equation, Ben is 9 years old currently.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.
Ben's mom = 22 years
Ben is 9 years old currently.
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What’s the formula to find principal please tell me please
Answer:
Step-by-step explanation:
(100xInterest)(RatexTime)
hope this helps
Step-by-step explanation:
The formula for calculating Principal amount would be P = 100I / (RT) where Interest is Interest Amount, R is Rate of Interest and T is Time Period.
A lottery game contains 24 balls numbered 1 through 24. What is the probability of choosing a ball numbered 25
Selecting ball number 25 has no chance of happening.
Explain about the probability?Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.
It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.
Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.
In 25th Ball it is 0
Because there is no 25th ball
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Jeanette took two tests. Find her z-score for each test. (Remember: The number of standard deviations between a score and the mean score is indicated by a z-score.) On which did she score better compared with others in her class
The z-score is compared as Test A : 3.25; Test B : 3.5; Test B.
What is the z-score to be compared?The Z-score is a statistical measure that describes the relationship of a value to the mean of a group of values. The Z-score is expressed in standard deviations from the mean. A Z-score of 0 indicates that the data point's score is the same as the mean score.Here given that,
Test A
Jeanette's score 90
Mean score 64
Standard deviation 8
Test B
Jeanette's score 95
Mean score 60
Standard deviation 10
The formula =
z = x - µ / σ
By substituting,
test A : z = (90 - 64) / 8 = 26 / 8 = 3.25
test B : z = (95 - 60) / 10 = 35/10 = 3.5
So Test A : 3.25; Test B : 3.5; Test B
The data of the question is attached below:
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Z-score in test A = 3.25, Z-score in test B = 3.5. She performed better in test B.
What is Z-score?Z-score represent the difference between a given value and standard deviation.
What is the Z-score of the above question?given, Jeanette scored 90 in the Test A
mean score of test A = 64
standard deviation = 8
we know, the Z-score is calculated by the following formula.
Z-score = (X - μ) /σ
where, σ denotes the standard deviation.
μ denotes the mean value
X is the actual value
Test A has Z- score = (actual score - mean score) / standard deviation
= (90 -64)/8
Z = 3.25
In the test B, she scored 95.
actual score = X = 95
mean score in test B = 60
standard deviation in test B = 10
hence, Z-score for test B = (X - μ)/ σ
= (95 -60)/ 10
Z-score = 3.5
Therefore, Jeanette scored better in her test B.
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A cook wants to make enough cookies for 150 students. The cookie recipe makes
1 1/4 dozen cookies. A dozen equals 12 cookies.
How many batches does the cook need to make if each student gets one cookie?
A.3
B. 7
C.10
D. 13
E. 15
Answer:
C 10
Step-by-step explanation:
1 1/14 of a dozen is 15
then 150 divided by 15 = 10
I hope this is the right answer
Can you please help me with this question? :)
Answer:
First rational exponent means that ;Rational exponents (also called fractional exponents) are expressions with exponents that are rational numbers (as opposed to integers ). While all the standard rules of exponents apply,
Step-by-step explanation:
We take here the root of 4 which means that it gives us the exactly same the answer is 2 which we again square on two it exactly gives us the answer 4 so the bas eis given as, = √4
= ±2
as squaring on it; = 2²
= 4
→ the base in 2² where 2 is the base and 2 of the power is called index.
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What is the formula to find the side?
The formula to find the side of a geometric shape depends on the shape itself. Few details like area or perimeter of a shape or surface area or volume of a solid with few other parameters should be known.
Few examples :
For a square, the formula to find the side (s) is:
s = √(A)
where A is the area of the square.
For a rectangle, the formula to find the length (l) and width (w) are:
l = A/w and w = A/l
where A is the area of the rectangle.
For a triangle, the formula to find the base (b) and height (h) are:
A = (b*h)/2
where A is the area of the triangle.
For a cube, the formula to find the side (s) is:
V = s^3
where V is the volume of the cube.
Keep in mind that these are a few examples of formulas that can be used to find the side of a geometric shape. Depending on the specific problem, different formulas may be required.
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Please help I have a learning disabilty and need help with this.
Find the value of x that makes a true statement.
17 + x = 3 + 17
x = _______
Answer:
17 + x + 3 + 17
X is 3
Please help asap..............
Answer:
what's the context of this?
SOMEONE HELP ME I DONT UNDERSTAND THIS
Answer:
Pretty sure there's 90 tens.
Annie has two boxes of markers. The first box is 7/10 full and the second box is 6/10 full. How many total markers does Annie have?
Answer: 1 3/10
Step-by-step explanation:
Since we are informed that Annie has two boxes of markers and that the first box is 7/10 full while the second box is 6/10 full.
Therefore, the total markers that Annie has will be the addition of both boxes and this will be:
= 7/10 + 6/10
= 13/10
= 1 3/10
Jose took a trip to South Lake Tahoe that took 65 minutes. Jose forgot to check the time as he
left, but when he got to South Lake Tahoe, his phone read 8:12 AM. What time did Jose start his
trip?
Answer:
7:07
Step-by-step explanation:
he started at 7:07 because if you take away 5 minutes from 8:12 you get 8:07 and we all know 60 minutes is an hour so 8:07 minus an hour is 7:07 hope this helps
Find the volume of a right circular cylinder with a diameter of 14 inches and a height of 10 inches, answer in terms of pi?
Answer:
490π
Step-by-step explanation:
Given data
Diameter= 14 inches
Radius= 7 inches
Height = 10 inches
The expression for the volume of a cylinder is
V= πr^h
V= π*7^2*10
V= 490π
Hence the volume is 490π
Can someone explain the signs between positive and negative number ?
Your gonna get so much points from me and brainlist❤️❤️❤️
Answer:
A positive value is a value greater than zero on the right handside of the number line while a negative value is less than zero on the left handside of the number line.
Plsss help ASAP!!!! I need to finish this now!!
Answer:
your answer code would end up being 9862
composite numbers are: 40,42,44,45,46,48,49,50
4's are gone: 0,2,5,6,8,9,50
repeat are gone: 2,6,8,9
greatest to least: 9,8,6,2
An equation is shown. What values of x makes the equation true?
5x + 3x = 5x + 15/2
Step-by-step explanation:
1) Add 5x and 3x.
Now you have 8x = 5x + 15/2
2) Subtract 5x from the right side of the equation.
(You also do this to the left side)
Now you have 3x = 15/2
3) Now we want the value of x not 2 or 3x, so we will need to divide 3x by 3 to get the value of x.
3x/3 = 15/2 /2 (If the fraction divided by 3 looks confusing you can convert it into a decimal)
So you would have 3x/3 = 7.5/2
3x/3 = x
7.5/3 = 2.5
x = 2.5Hope this helps !
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What is the radius of circle M?
Answer:
The radius is just under 4 cm.
Step-by-step explanation:
The central angle for the entire circle is 360 degrees.
The fraction (89/360)(total circle area) = 12.36m^2.
Solving for the total circle area, we get (360/89)(12.36m^2) = 50 cm^2.
Area of a circle (in general) is A = πr²
Here we know A and π and must find r² and then r:
A
A = πr² becomes r² = ----------
π
Here, r² = 50 cm^2 / 3.14 = 15.92 cm^2
and r = square root of r² = 3.99, or approximately 4 cm