Answer = 42.8
Step-by-step explanation:
All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle
Which of these graphs do not represent constant rates of change? Check all that apply.
Answer:
A,D
Step-by-step explanation:
I'm taking the test
The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.
Hence, option A and option D are correct.
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Can someone help me with this.?
Answer:
Below.
Step-by-step explanation:
To find the answer, you have to compare the two equations:
[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]
So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.
The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.
If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost during practice
Answer: B
Explanation: Baseballs(b) minus 3 which is b-3
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
plz help plzzz thank you
Answer:
rectangles
Step-by-step explanation:
convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.
What is the slope of -2x+ 5y = 10?
Answer:
the rise is 2 and the run is 5
Step-by-step explanation:
2/5
Answer:
Step-by-step explanation:
the slope is = 2/5
the y-intercept = 2
Find the zeros of the function f(x) = x^3 + 2x^2 -25x - 50 = 0
Answer:
x = -2, x= -5 , x= +5
Step-by-step explanation:
x^3 + 2x^2 -25x - 50 = 0
Factor by grouping
x^3 + 2x^2 -25x - 50 = 0
x^2(x+2) -25( x+2) = 0
(x+2) ( x^2 -25) =0
Using the zero product property
x+2 =0 x^2 -25 =0
x=-2 x^2 = 25
x= -2 Taking the square root of each side
x = ±5
The value of x in 5(8+x)=20
Answer:
x = -4
Step-by-step explanation:
5(8+x)=20
Divide each side by 5
5/5(8+x)=20/5
8+x = 4
Subtract 8 from each side
8+x-8 = 4-8
x = -4
The right answer is -4.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
pick a pair of alternate exterior angles
Answer: angles 1 and 7
a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?
Answer:
4
Step-by-step explanation:
you must scale down to size- 1 m in real life = 5 (unit) in the model
20/5= 40
hope this helps :)
Answer:
4m
Step-by-step explanation:
1/5 of 20
A grocery store has 45% of its carts being used. Which ratio compares the used carts with all the carts that the store has? A. 10:100 B. 45:55 C. 55:100 D. 9:20
Answer:
D
Step-by-step explanation:
45%=[tex]\frac{45}{100}[/tex]
[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]
so D
HOPE THIS HELPS
Answer: 9:20
Step-by-step explanation:
45% if carts used from the 100%
Ratio will be 45:100 = 9:20
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
(URGENT)Determine the cross product of the vectors: x x y
x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)
Distribute the cross product:
x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)
........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)
........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)
x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)
........... + 91 (i x j) + 28 (j x j) - 63 (k x j)
........... - 52 (i x k) - 16 (j x k) + 36 (k x k)
By definition of the cross product, we have
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
and for any two vectors x and y, the product is anti-symmetric:
x x y = -(y x x)
This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:
x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)
x x y = 95 k + 61 j + 47 i
x x y = 47 i + 61 j + 95 k
Which of the following is a characteristic of hyperbolic geometry?
A. There are an infinite number of lines parallel to a given line
through a given point.
B. There is exactly one line perpendicular to a given line through a
given point.
C. There is exactly one line parallel to a given line through a given
point.
D. There are an infinite number of lines perpendicular to a given line
through a given point.
Answer:
A
Step-by-step explanation:
Hyperbolic geometry is defined as a non-Euclidean geometry.
(invalidating the fifth postulate of Euclid's five fundamental postulates)
Choice B and D can be eliminated because this has nothing to do with perpendicular lines.
Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates
We are left with A by the process of elimination
Answer:
A. There are an infinite number of lines parallel to a given line through a given point.
Hope this Helps!
PLEASE HELP! ITS DUE TODAY!
Answer:
D. Median
Step-by-step explanation:
I say this because is the average of the numbers
1) A microbiologist measures the length of a bacterium of 0.000163 m and the
length of yeast as 0.0087 mm.
a) Which is longest? (Hint: Both must be the same units)
b) How much longer is the longer specimen than the shorter specimen?
Answer:
a) The bacterium is longer;
b) The bacterium is 0.1543 mm longer than the yeast.
Step-by-step explanation:
In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.
[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]
a) The bacteria is longer than the yeast.
b) We need to subtract their length in order to find this answer:
[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]
helpp me plz
thank you in advance
Answer:
1/4
Step-by-step explanation:
3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.
If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Step-by-step explanation:
so round up is b equal a plus 10....
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?
Answer:
A=Pi x radius x height+2 x pi x radius^2
Step-by-step explanation:
Answer:
Sample answer
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
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___
Topic: Geometry
Unit: Triangles
Classify the triangle by its angles and by its sides.
Answer:
Acute and Scalene.
Step-by-step explanation:
By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.
By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.
Hope this helps!
what is the square root of 345 to the 9th power
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
Find the infinite geometric sum of 4+2.4+1.44+...
Answer:
4+2.4=6.4+1.44=7.84
The infinite geometric sum of 4+2.4+1.44+... will be 10.
What is the common ratio?At each point in the sequence, you multiply or divide by the common ratio. Divide two sets of phrases that follow one another to find it. Whichever pair of terms is picked, as long as they appear next to one another in the sequence, is irrelevant.
It is given that, the sequence is 4+2.4+1.44+...
The sequence is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
It is obtained that the common ratio is,
r=2.4/4
r=0.6
The Sum of an infinite geometric sequence is,
S = a / (1-r)
S=4 / (1-0.6)
S=10
Thus, the infinite geometric sum of 4+2.4+1.44+... will be 10.
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solve this proportion x/14 6/21
Answer:
X=4
Step-by-step explanation:
Solution: x equals 4
x/14-(6/21)=0
1. Simplify 2/7
x/14- 2/7 is 0
It’s too much steps
Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Answer:
3.5 is your answer.
Step-by-step explanation:
(7.7x10^-2) divided by (2.2x10^-2
Just *Divide*
Hope this helps.
: )
14. What's 17/12 as a mixed number?
O A.15/12
O B.1 127
O C.1/12
O D.712
Answer:
A
Step-by-step explanation:
17/12 = 1 5/12
1×12+5=17