An isosceles right triangle has two sides that are equal in length; this means that the angles opposite the sides must also be equal. Since the triangle is a right triangle and the sum of angles of a triangle is 180 degrees, the angles must each be 45 degrees.
The acute angles of an isosceles right triangle are always 45 because of the Pythagorean Theorem. This theorem states that in a right triangle the sum of the squares of the two sides adjacent to the right angle (the legs) is equal to the square of the hypotenuse. Since an isosceles right triangle has two equal legs, and the hypotenuse is the longest side, the two legs must both have the same length, and the angles opposite from these sides must also be the same. This means that the two acute angles in an isosceles right triangle must both be 45 degrees.
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Use the given sample data to find each of the listed values.In your answer, include both numerical answers and an explanation, in complete sentences, for the steps necessary to find the data values. Complete your work in the space provided or upload a file that can display math symbols if your work requires it.
62 52 52 52 64 69 69 76 54 58 61 67 73
a. Range _____
b. Q1 _____
c. Q3 _____
d. IQR _____
Answer:
The range is 24
The Q1 is 53
The Q3 is 69
The IQR is 16
Step-by-step explanation:
Answer:
can you put that in a paragraph
Step-by-step explanation:
John's monthly income is $3000. The table below shows the different categories in John's monthly budget and the amount he spends in each category.
Answer:
John spends less than 1/4 of his income on utilities, cable, internet and cell phone bills.
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Divide 70 by 9 and write the answer as a: mixed number and as a decimal number with a bar over the repetend.
Please help if you can!Thanks!
Answer:
Step-by-step explanation:
7 7/9 Is the first one
And 7.7 with the second 7 repeating
Errol collected some figures that he calls sukies. Which figure is a sukie?
Its non of the above. Though I did have a question like that, if there is a choice below the square, that has the following properties, that must be the answer:
7 sides
1 right angel
______________________________________________________
But if you are talking about it being 1 of the 2, its non of the 2 that is in the picture. The option below square must be the answer if I am right according to what I had.
Hope it helps ! The things that I told you about the figure is the only way I can tell you. Sorry, but have a great day and good luck.
Does a parabola have an inverse?
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
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i need help plsss help meee
Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)
Courtney is in the process of buying a minivan. The car she wants to buy is $29,999. The required down payment is 20% . How much will she need to put down in order to purchase this car
Car insurance coverage covers damages caused by or other mishaps. The following damages are covered claims except :
A. A head on collisions .
B. A tree falls in your car during a windstorm
C. The sun weathers the paint on your car and it must be repainted
D. A thief breaks your back window and steals the guitar from your back seat
On observing the provided question we can say that - the function f(x) = a^x is Range : (−∞,∞) or all real numbers
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the number and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The answer to the question is that all real numbers or (−∞,∞)
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Joe painted 3/4 of a bedroom in 1/2 of a day. How many days will it take for Joe to paint one bedroom?
Answer:
3/4
Step-by-step explanation:
Answer:
2/3 of a day
Step-by-step explanation:
3/4 : 1/2 = 1 : X
X=2/3
Find the exact value of tan A in simplest radical form.
A movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs. How many 5-disc combinations can be made from the collection? (Hint: Divide the total combinations by 5. )
There are 749398 5-disc combinations that can be made from the collection.
Combination refers to the number of ways that a certain number of items can be selected from a larger set of items without regard to the order of the items. It is different from permutation, which takes into account the order of the items.
The number of combinations can be calculated using the formula:
nCr = n! / (r! x (n - r)!)
Where n is the total number of items in the collection, and r is the number of items in each combination
Since a movie collection has 6 mystery, 10 comedy, 4 adventure, 9 drama, and 12 science fiction discs, then the total number of discs in the collection is 41.
Plug in the values to the formula for combination.
nCr = n! / (r! x (n - r)!)
41C5 = 41! / (5! x (41 - 5)!)
41C5 = 41! / (5! x 36!)
41C5 = 749398
Therefore, there are 749398 5-disc combinations that can be made from the collection.
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360 multiplied by 420
the answer is 151200
Identify the figure that illustrates "A reflection in line k."
The 1st figure is correct, the 4th one seems very similar to the 1st one. But the red shape is closer to line k. So the 1st one is correct
The figure that illustrates a reflection in line k is figure C.
We have given that the figure.
We have to determine the correct option a reflection in line k.
A reflecting line is a perpendicular bisector.
When a figure is reflected, the reflecting line is the perpendicular bisector of all segments that connect pre-image points to their corresponding image points.
Therefore option c is correct.
Therefore, the figure that illustrates a reflection in line k is figure C.
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Does anyone know the answer to this?
Answer:
41
Step-by-step explanation:
At Central Middle School the 108 students who take the AMC 8 meet in theevening to talk about problems and eat an average of two cookies apiece.Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe,1 which makes a pan of 15 cookies, lists this items: 1- cups of flour, 2 eggs, 323 tablespoons butter, cups sugar, and 1 package of chocolate drops. They will 4 make only full recipes, not partial recipes.Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cookies? (Some eggs and some cookies may be left over.)(A) 1(B) 2(C) 5(D) 7 (E) 15
5 half-dozens he should buy to make enough cookies.
What is an average?
Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. scored 85 on tests on average. The term "mean" can refer to the simple average or a figure that lies halfway between two extremes.
Here, we have
If 108 students eat 2 cookies on average, there will need to be 108× 2 = 216 cookies.
There are 15 cookies per pan, meaning there need to be {216}/{15} = 14.4 pans.
However, since half-recipes are forbidden, we need to round up and make{216}/{15} = 15 pans.
1 pan requires 2 eggs, so 15 pans require 2×15 = 30 eggs.
Since there are 6 eggs in a half dozen,
we need 30/6 = 5 half-dozens of eggs.
Hence, 5 half-dozens he should buy to make enough cookies.
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2/3(6x-1/6) + 3x simplify the expression
Answer:
[tex]21x \: - \frac{1}{3} \\ 3[/tex]
Find m angle Bm∠Bm, angle, B.
Note that m angle Bm∠Bm, angle, B is acute. Round to the nearest degree
The measure of angle B where angle B is an acute angle by using the Law Of Sines is 61° .
What is an Acute Angle ?
The Acute Angle can be defined as an angles that measure less than 90° , the acute angle is smaller than Right Angle and also smaller than the Linear Angle ( measuring 180° ).
From the figure ,
we can see that the measure of the sides are given as a = 9 , b = 8 and
the measure of angle A is 79° .
By Applying the Law Of Sines ;
we get ,
[tex]\frac{SinA}{a} =\frac{SinB}{b}[/tex]
Substituting the values in the above equation ,
we get ;
[tex]\frac{Sin79\textdegree}{9} =\frac{SinB}{8}[/tex]
Simplifying further ,
we get ;
[tex]SinB = \frac{Sin79\textdegree}{9} \times 8[/tex]
substituting the value of Sin79° as 0.9816 ;
we get ;
[tex]SinB = \frac{0.9816}{9} \times 8[/tex]
[tex]SinB=0.8725[/tex]
So , B ≈ 61° .
Therefore , the measure of angle B is 61° .
The given question is incomplete , the complete question is
Find the measure of Angle B in the given figure .
Note that the angle B is acute . Round to the nearest degree .
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Katie plans to paint four toy chests that have the given net. She will buy 10-oz cans of paint that cover 933 square inches each
Two cans of paint are needed to cover the toy chest of 1866 in²
Area:
The area is the amount of space occupied by a two-dimensional object or figure. Area (A) of the rectangle is:
A = length * breadth.
Area of A = 13 * 16 = 208 in²
Area of B = 13 * 25 = 325 in²
Area of C = 25 * 16 = 400 in²
Area of D = 13 * 25 = 325 in²
Area of E = 13 * 16 = 208 in²
Area of F = 25 * 16 = 400 in²
1) Combined Area = 208 + 208 = 416 in²
2) Combined Area = 325 + 325 = 650 in²
3) Combined Area = 400 + 400 = 800 in²
4) Combined Area = 416 + 650 + 800 = 1866 in²
5) Amount of paint = 1866 in² / 933 in² = 2
Therefore, Two cans of paint are needed to cover the toy chest of 1866 in²
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plz help ...........................................
Find the value of x.
Answer:
x = 32
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
All the indicated angles in the diagram are exterior angles of the polygon.
sum the 5 exterior angles and equate to 360
2x + 71 + 85 + 44 + 3x = 360
5x + 200 = 360 ( subtract 200 from both sides )
5x = 160 ( divide both sides by 5 )
x = 32
Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.
Sum of the infinite geometric series = 79/9
A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.
Given Geometric sequences,
0.79, 0.079, 0.0079, 0.00079, 0.000079
so, the geometric series is:
0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........
The first term of given geometric series is 0.79
The second term of given series is 0.079
Therefore, the common ration is= 0.079/0.79 = 1/10
The Sum of infinite geometric series is given by, S= a/(1-r)
a here denotes the first term of the series
r denotes the common ration
so,
S = 0.79/{1-(1/10)}
or, S = 0.79/(9/10)
0r, S = 0.79 * (10/9)
0r, S = 79/9
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Please help
What is the slope of a line that passes through (2, -5) and (6, -2)?
-4/3
-3/4
3/4
4/3
Answer:
3/4
Step-by-step explanation:
Going from the first point to the second, we see the x-coordinate (the 'run') increasing by 4 and the y-coordinate increasing by 3. Thus, the slope of the line going through these two points is
m = rise / run = 3/4
It ha been etimated that about 15% of frozen chicken contain enough almonella bacteria to caue illne if improperly cooked. Suppoe that a upermarket buy 1000 frozen chicken from a upplier. Find an approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated
approximate 68% interval (remember empirical rule: approx. 68% of data within 1 tand. Deviation of mean) for the number of frozen chicken that may be contaminated is (271.02, 328.98) = (271, 329)
Suppose number of trials, n = 1000
And number of defective chickens is within 1 standard deviation of the mean :
Mean = np ; p = 0.3
Mean = 1000 * 0.3 = 300
Standard deviation (s) : sqrt(np(1-p))
s = sqrt(1000 * 0.3 * 0.7)
s = sqrt(210)
s = 14.49
2 standard deviations of the mean: and interval
Mean ± 2s
Lower bound : 300 - 2(14.49) = 271.02
Upper bound : 300 + 2(14.49) = 328.98
(271.02, 328.98) = (271, 329)
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Explain, step by step , how you solve the system of equations: y=3x - 3,y= x-3. Then provide the solution to the system.
Answer:
(0, -3)
Step-by-step explanation:
y = 3x - 3
y = x - 3
In the solution to the system of equations, y is the same number for both of those functions. So 3x - 3 = x - 3.
Then solve for x:
3x - 3 = x - 3
Add 3 to both sides
3x = x
Subtract x from both sides
2x = 0
Divide both sides by 2
x = 0
Now that you have x, substitute it in one of the equations:
y = 3x - 3
y = 3(0) - 3
y = -3
x is 0 and y is -3, so the solution to the equation is (0, -3)
Answer:
x = 0
Step-by-step explanation:
y=3x-3
y=x-3
They both equal why so you can take away the y and put them equal to each other.
3x-3=x-3
Subtract x from both sides
2x-3=-3
Add 3 to both sides
2x=0
divide 2 from both sides
x=0
The answer is 0. Hope this helps you :)
Which expressions are equivalent to 8.5x + 0.5 + 3.5x -2x, A) 12x-2x, B) 10x + 0.5, C) 12-2x, D) 9x + 3.5 - 2x, E) 12x - 2x + 0.5
The given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to
10x + 0.5.
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the expression as follows -
8.5x + 0.5 + 3.5x - 2x
The given expression is -
8.5x + 0.5 + 3.5x - 2x
(8.5x + 3.5x - 2x) + 0.5
12x - 2x + 0.5
10x + 0.5
Therefore, the given expression {8.5x + 0.5 + 3.5x - 2x} is equivalent to
10x + 0.5.
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help plsssss ill give brainly
Answer:
7x + 20 or 20 + 7x
Step-by-step explanation:
2(5 + 3x) + (x + 10)
=> Multiply the parenthatic values in the first parenthesis by 2
(10 + 6x) + (x + 10)
=> Now add similar values
20 + 7x
Hope this helps!
plssss helpp brainliest will b givenn
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Please help me with my HW
Answer: 4k^7
Step-by-step explanation:
Find the value of x in the figure
Answer:
x=40º
Step-by-step explanation:
A straight line is 180º
180-40=140º
180-140=40º
x=40º
Hope this helps :)
If a car goes 280 miles in 4 hours, how far could it go in 6 hours and 30 minutes
Answer:
455 miles in 6 hours and 30 minutes
Step-by-step explanation:
280 = 4 hour(s)
140 = 2 hour(s)
70 = 1 hour(s)
35 = 30 minutes
280+140+35 = 455
(Hope this helps! Please leave questions about this is in the comments) :D
What is the perimeter?
Help..plz
And No links!! I repeat No links!!
Answer:
12
Step-by-step explanation:
a+b+the square root of [tex]a^{2}[/tex]+[tex]b^{2}[/tex]
7+[tex]\sqrt16+9[/tex]