Answer:
20[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The diagonal splits the square into 2 right triangles
Using Pythagoras' identity on one of the right triangles
With legs 10[tex]\sqrt{6}[/tex] and hypotenuse the diagonal d, then
d² = (10[tex]\sqrt{6}[/tex] )² + (10[tex]\sqrt{6}[/tex] )² = 600 + 600 = 1200 ( take square root of both sides )
d = [tex]\sqrt{1200}[/tex] = [tex]\sqrt{400(3)}[/tex] = [tex]\sqrt{400}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{3}[/tex]
Points W, K, and are collinear.
Line CA and line YK intersect at .
Point is not contained on line m.
Answer:
1) J, k and w
2)Y
3) ONE
Step-by-step explanation:
The three collinear points on line m are
✔ J, K, and W
.
Point
✔ Y
is not on line m.
✔ One
line(s) could be drawn through points P and X.
Answer:bcd
Step-by-step explanation:
What information do you need to accurately describe a translation
Answer:
make sure you have a good understanding of the subject you are translating, and that the translation is for that subject
Jackrabbits are capable of reaching speeds up to 40 miles per hour. How fast is this in feet per second? (Round to the nearest whole number.) 5,280 feet = 1 mile 27 feet per second 59 feet per second 132 feet per second 288 feet per second
Answer:
59 ft/second
Step-by-step explanation:
40 miles / hour
Multiply by the conversion factors
40 miles 5280 ft 1 hour
------------ * -------------- * -----------
hour 1 mile 3600 seconds
Canceling the units
40 * 5280 ft/ 3600 seconds
58.6666666 ft/ second
To the nearest whole number
59 ft/second
Answer:
[tex]\Large \boxed{\mathrm{59 \ feet \ per \ second}}[/tex]
Step-by-step explanation:
40 miles per hour
1 mile = 5280 feet
40 miles = 5280 × 40 = 211200 feet
1 hour = 3600 seconds
[tex]\displaystyle \sf \frac{211200 \ ft}{3600 \ s}[/tex]= 58.666666666... ft/s
Please answer this correctly, because I will know If the answer Is wrong. If It's right, I'll give out brainliest.
Answer:
113⁶ × 37³ × 51¹²
Step-by-step explanation:
(113² × 37 × 51⁴)³ =
113²ˣ³ × 37³ × 51⁴ˣ³ = ⇒ power of the power is the product of powers
113⁶ × 37³ × 51¹² ⇒ answer, no more simplifications possible
Evaluate the expression when a = 4 and y=-4.
-a + 6y
Answer:
-28
Step-by-step explanation:
insert the values
-a + 6y
-(4) + 6(-4)
-4 +(-24)
-4-24
-28
Algebraically determine each of the following for the function y=16 - 4x(squared). A) the x and y intercepts if any. B) the symmetry type (x axis, y axis, origin, or neither.)
Answer:
A) x intercept: (2, 0) , (-2, 0)
y intercept: (0, 16)
B) symmetric about y axis
Step-by-step explanation:
Given the function:
[tex]y=16-4x^{2}[/tex]
To find:
Algebraically, A) find the x and y intercepts and B) the symmetry type.
Solution:
A) x intercept, let us put y = 0
[tex]y=16-4x^{2}[/tex]
[tex]0=16-4x^{2}\\\Rightarrow 4x^2=16\\\Rightarrow x^2=4\\\Rightarrow x =+2, -2[/tex]
x intercept: (2, 0) , (-2, 0)
For y intercept, put x = 0
[tex]y=16-4x^{2}[/tex]
y = 16 - 0 =16
y intercept: (0, 16)
B) If the quadratic equation is given as: [tex]y=ax^2+bx+c[/tex],
the axis of symmetry is a vertical line [tex]x=-\frac{b}{2a }[/tex]
Here, c = 16
b = 0 and
a = -4
So, Axis of symmetry is:
[tex]x=-\dfrac{0}{2\times (-4)} = 0[/tex]
which is the equation of y axis.
So, given equation is symmetric about y axis.
Calculate the curved surface area of a cylindrical drum whose dimensions are diameter 5cm, height 30cm
Answer:
150[tex]cm^{2}[/tex]
Step-by-step explanation:
Curved surface area of a cylinder = 2[tex]\pi rh[/tex]
Radius=[tex]\frac{5}{2}\\[/tex]cm
Height=[tex]30[/tex]cm
Curved surface area of a cylinder=[tex]2\pi rh[/tex]
= 2 x [tex]\frac{5}{2}[/tex] x 30
= 150 [tex]cm^{2}[/tex]
A triangle has sides of lengths 9, 7, and 12. Is it a right triangle? Explain.
Answer:
No, [tex] 9^2 +7^2 \neq 12^2 [/tex]
Step-by-step explanation:
[tex] 9^2 +7^2 = 81+ 49 =130...(1)[/tex]
[tex] 12^2 = 144...(2)[/tex]
From equations (1) & (2) it is obvious that:
[tex] 9^2 +7^2 \neq 12^2 [/tex]
Thus, the given is not a right triangle.
Eli has a number cube. Each side has a different number: 1, 2, 3, 4, 5, or 6. Eli will roll the number cube once. What is the probability he will roll a 4?
Answer:
E. is the correct^
Step-by-step explanation:
The table represents the observed number of leaves y on x branches of a tree. Calculate the rate of change between 3 and 4 branches.
x y
2 42
3 75
4 100
5 119
What is the rate of change?
Answer:
25Step-by-step explanation:
The rate of change of number of tree y on x branches of a tree is expressed as shown;
m = Δy/Δx where;
m is the rate of change
Δy is the change in number of leaves between 3 and 4
Δx is change in number of branches between 3 and 4
m = Δy/Δx = y₂-y₁/x₂-x₁
From table between 3 and 4, y₂ = 100, y₁ = 75, x₂ = 4, x₁ = 3
m = 100-75/4-3
m = 25/1
m = 25
Hence the rate of change between 3 and 4 branches is 25
To make a bow out of ribbon, Carrie needs 1
1
4
yards of ribbon. If Carrie bought 8
3
4
yards of ribbon at a sale, how many bows could she make?
Answer:
7 bows
Step-by-step explanation:
I will assume that the numbers are [tex]1\frac{1}{4}[/tex] and [tex]8\frac{3}{4}[/tex]. To find the answer, we can do:
[tex]8\frac{3}{4} / 1\frac{1}{4}\\ = \frac{35}{4} / \frac{5}{4} \\= \frac{35}{4} * \frac{4}{5}\\= \frac{35}{5}[/tex]
= 7 bows
explain: Let's solve for x. labc=x−32 Step 1: Flip the equation. x−32=abcl Step 2: Add 32 to both sides. x−32+32=abcl+32 x=abcl+32 Answer: x=abcl+32
Answer:
x=abcl+32
Step-by-step explanation:
We need to solve for x for the below expression :
labc=x−32
Fisrt let's flip the question.
x-32=abcl
Add 32 on both the sides
x-32+32=abcl+32
We know that -32+32 = 0
x = abcl+32
So, the value of x is abcl+32.
Name the set(s) of numbers to which -1/3 belongs
Answer:
Rational numbersReal numbersStep-by-step explanation:
The number -1/3 belongs to the set of rational numbers.
A number -1/3 is given in the question.
We have to find out that this number belongs to which set of numbers.
What is a rational number ?
A rational number is one which can be expressed as fraction p/q of two integers where p is a numerator and q is a non-zero denominator i.e., q ≠ 0.
Let's check -1/3 belongs to which set,
We know that ,
Natural numbers are the counting numbers , so -1/3 can't be a natural number.
Also ;
-1/3 can't be a irrational number because as this number is a finite number.
Let's check if it is a rational number ;
We know that rational number can be expressed in form of p/q.
Hence ;
[tex]\frac{p}{q}[/tex] = [tex]\frac{-1}{3}[/tex] , where ; p = -1 and q = 3 i.e., q ≠0
Thus , the number -1/3 belongs to the set of rational numbers.
To learn more about set click here ;
https://brainly.com/question/18114925
#SPJ2
Write the equation of the line that is parallel to the line y=−74x−2
y
=
−
7
4
x
−
2
through the point (4,-2).
Answer:
The answer is
y = 74x - 298Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line parallel to the equation above we must first find the slope of the above equation
y = - 74x - 2
Comparing with the above formula
Slope = - 74
Since the lines are parallel their slope are also the same
Slope of parallel line = - 74
Equation of the line using point (4 , -2) and slope - 74 is
y + 2 = 74( x - 4)
y + 2 = 74x - 296
y = 74x - 296 - 2
We have the final answer as
y = 74x - 298Hope this helps you
Answer:
y= -7/4x+5
Step-by-step explanation:
I got it correct on founders edtell
A function is called from the main function and then it calls itself five times. The depth of recursion is
Answer: five.
Step-by-step explanation: The depth of a recursion or Recursive statement can simply be explained as the maximum number of times a function calls itself until the stopping condition is met. In the scenario above, the number of times the function calls itself is five hence the depth of recursion will be five. A Recursive function or algorithm involves repetitive calling of itself( that is the Recursive function) until the condition to stop is met, hence the number of times the fuction has to call itself before the stopping condition is satisfied is called the depth of the Recursive algorithm.
Write a verbal sentence to represent the equation
X/4+8=-16
Answer:
The sum of X divided by 4 and 8 is -16.
Step-by-step explanation:
The main numbers we are adding are X/4 and 8, so those can be referred to as "the sum of". X/4 is simply "X divided by 4".
This all equals -16, so we have:
The sum of X divided by 4 and 8 is -16.
If 11 is added to the square of a number, the result is 92
Answer:
Algebraic expression ; 11+x^2 =92
Solved answer = 9
Step-by-step explanation:
Let the unknown number be x ;
[tex]11 + x^2 = 92[/tex]
Solve for x ; Collect like terms ;
[tex]x^2 = 92-11\\\\x^2 = 81[/tex]
Square root both sides ;
[tex]\sqrt{x^2} = \sqrt{81} \\\\x = 9[/tex]
What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.
Answer:
49 feet
Step-by-step explanation:
We solve for this using proportion
Height of Jack's house = ?? = Y
Length of the shadow of Jack's house = 56 feet
Height of a tree = 21 feet
Length of the shadow of the tree = 24 feet
Height of Jack's house/ Shadow of Jack's house = Height of a tree/ Shadow of the tree
Y/56 = 21/24
Cross Multiply
24 × Y = 56 × 21
Y = 56 × 21/24
Y = 1176/24
Y = 49 feet
Therefore, the height of Jack's house is 49 feet
40 POINTS
Which equation represents the graph below?
10-
H>
10 х
-10
-5
5
in
-10
N
x + 2y = 6
-2x + y = 1
-2x + 4y = 8
2x + 4y = 8
Answer:
I can't understand how you wrote the question try writing it again so I can help
two out of four snowmen built by young children have carrots for noses. what percentage or snowmen have carrots for noses??
A) 20%
B)40%
C) 50%
D) 100%
Question 3
1 pts
2 and -2 are 4 units apart on the number line.
True
False
Solve for the exterior angle in the image below?
Answer:
x = 7
Exterior angle = 139°
Step-by-step explanation:
[tex] (15x + 34) [/tex] is an exterior angle to the ∆ given.
29° and [tex] (12x + 26) [/tex] are two opposite interior angles of the ∆.
According to the external angle theorem, [tex] (15x + 34) = 29 + (12x + 26) [/tex]
Solve for x using this expression
[tex] 15x + 34 = 29 + 12x + 26 [/tex]
[tex] 15x + 34 = 29 + 26 + 12x [/tex]
[tex] 15x + 34 = 55 + 12x [/tex]
[tex] 15x + 34 - 12x = 55 + 12x - 12x [/tex]
[tex] 15x - 12x + 34 = 55 [/tex]
[tex] 3x + 34 - 34 = 55 - 34 [/tex]
[tex] 3x = 21 [/tex]
[tex] \frac{3x}{3} = \frac{21}{3} [/tex]
[tex] x = 7 [/tex]
Exterior angle = [tex] (15x + 34) [/tex]
Plug in the value of x
[tex] 15(7) + 34 = 105 + 34 = 139 [/tex]
Exterior angle = 139°
there are twelve months in every year. The number of years is x. The number of months is y.
Answer:
12x = y
Step-by-step explanation:
12 months per x
12x
this means
12x = y
Hope that helped!!! k
Leah rides her bike to school a total of 80.75 miles per week. The miles (m) she rides in one day can be calculated using the equation below.
5m=80.75
Answer: 16.15
Step-by-step explanation:
Divide by 5 on both sides
m=16.15
In the triangle below y=? Round to the nearest tenth
Answer:
51.3°
Step-by-step explanation:
Step 1: Use tan to find angle y
o = 10
a = 8
[tex]tan()=\frac{o}{a} \\tan(y)=\frac{10}{8} \\y = tan^{-1} (\frac{10}{8})\\y = 51.3[/tex]
Therefore angle "y" is 51.3° rounded to the nearest tenth
The cost of 16 television sets is $640,160. What is the cost of 1 television set? (Round off the amount to the nearest thousand and then calculate.)
Answer:
$40000
Step-by-step explanation:
640160≈640000
640000/16=40000
If A = ½ bh, what is the value of A if b = 5 and h = 8? Please help!!!!
Answer: 20
Work: A = 1/2 bh
A = 1/2 (5(8))
A = 1/2 (40)
a = 20
plz mark brainliest
Answer:
A = 20Step-by-step explanation:
[tex]A = \frac{1}{2} bh [/tex]
when
b = 5
h = 8
Substitute the values of b and h into the above formula
That's
[tex]A = \frac{1}{2} (8)(5) \\ A = \frac{1}{2} \times 40 [/tex]
We have the final answer as
A = 20Hope this helps you
Solve for x:
3/4 + 2/3 + 8/9 = 2 x/36
Algebra 2
Answer:
x = 11
Step-by-step explanation:
Steps as below:
3/4 + 2/3 + 8/9 = 2 x/363*9/4*9 + 2*12/3*12 + 8*4/9*4 = 2 x/3627/36 + 24/36 + 32/36 = 2 x/3683/36 = 2 x/362 11/36 = 2 x/36x= 11Solve the following word problem
The width of a rectangular parking lot is 20 meters less than the length. The perimeter is 200
meters. Find the length and the width.
Answer:
Length=60 meters, width=40 meters.
Step-by-step explanation:
If the perimeter of the rectangular is 200 that means length*width=100. So we take 50 and add 10 and subtract 10. So the width is 40 and the length is 60
What is the solution to 5(2x−2)=30? solve for x
Answer:
x=4
Step-by-step explanation:
5(2x-2)=30
divide both sides
2x-2=6
move the constant to the right
2x=6-2
caculate
2x=8
divide both sides
x=4