Answers
Answer: 36
Step-by-step explanation:
The top and bottom of the parallelogram both have lengths of 8.
To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).
The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.
Related Questions
the inverse of the function graphed blow is a function A. true B. false
Answers
Answer:
A
Step-by-step explanation:
true true true true true true
Answer:
False
Step-by-step explanation:
In order to tell if an inverse is a function, you have to do the horizontal line test. Create an imaginary line going horizontally on the map and if the graphed function goes through more than one line, then the inverse won't be a function. There can only be one point going through the imaginary line. Does that make sense?
Help ASAP! Examine the table, which contains some points of a quadratic function. Which statements are true about the intercepts of the function?
Select all that apply.
The function has a y-intercept of (2,0).
The function has an x-intercept of (0,8).
The function has an x-intercept of (2,0).
The function has an x-intercept of (4,0).
The function has a y-intercept of (0,8).
The function has a y-intercept of (4,0).
Answers
Answer:
third, fourth and fifth
Step-by-step explanation:
The y- intercept is the coordinates of the point where the graph crosses the y- axis. At this point the x- coordinate is zero, thus
The function has a y- intercept at (0, 8 ) → fifth
The x- intercepts are the coordinates of the points where the graph crosses the x- axis. At these points the y- coordinate is zero, thus
The function has an x- intercept at (2, 0 ) →third
The function has an x- intercept at (4, 0 ) → fourth
Which statement best describes the relationship between storage space and number of music files?
Answers
Answer:
As the number of files increases, the storage space used increases.
Answer:D
Step-by-step explanation:
questions on the picture
Answers
Answer:
x^1/4
Step-by-step explanation:
[tex]\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^{\frac{1}{2}}}{x^{\frac{1}{4}}}=x^{\frac{1}{2}-\frac{1}{4}}\\\\\mathrm{Simplify}\:x^{\frac{1}{2}-\frac{1}{4}}:\\\\\quad x^{\frac{1}{4}}[/tex]
I set a goal to drink 64 ounces of water a day. If I drink 3 1/10 ounces in the morning, 2 1/15 ounces at noon, and 6 5/20 ounces at dinner, how many more ounces of water do I have to drink to reach my goal for the day?
Answers
Answer:
You must drink 52 7/12 ounces or 52.58 ounces to reach the goal.
Step-by-step explanation:
Total amount of the water already drank is found by adding the fractions
So
3 1/10 ounces + 2 1/15 ounces + 6 5/20
Converting into improper fractions
31/10 + 31/15+ 125/20
Now finding the lcm of 10,15,20
so Factors of 10 = 2 x 5
Factors of 15 = 5 x 3
Factors of 20 = 2 x2 x5
LCM= 5x2x2x3= 60
31*6/60 + 31*4/60 + 125*3/60
= 186+124+375/60
= 685/60 = 11.42 ounces
The amount of water already drank is 11.42 ounces
The amount remaining is found by subtracting the amount drank from the total amount
so
64 ounces - 11.42= 52.58
It can be solved in fractions as
64- 11 5/12
Again taking making improper fraction and taking lcm
64- 137/12
= 768-137/12 = 631/12= 52 7/12 ounces
The midpoint of JK is M(5, 6). One endpoint is J(7, 7). Find the coordinates of the other
endpoint K.
Write the coordinates as decimals or integers.
K=
= (+,)
Answers
Answer:
K(3, 5)
Step-by-step explanation:
let K(x, y)
then x + 7 = 5*2 and y + 7 = 6*2 by the midpoint theorem.
solving, x = 3, y = 5
Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled by the expression 55x + 50. Explain how each number and letter in the expression relates to the problem.
Answers
Answer:
see below (I hope this helps!)
Step-by-step explanation:
The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.
Answer 55.1
Yeah boyyy
what is 5.19615242 rounded to
Answers
Find the number in the tenth place 1 and look one place to the right for the rounding digit 9 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
5.2
find the first three terms of this sequence tn=4n²+2
Answers
Answer:
Step-by-step explanation:
finding the first term by putting n=1
t(1)=4.[tex](1)^{2}[/tex] +2 = 4.1 +2 = 4+2 = 6
finding the second term by putting n=2
t(2)=4.[tex](2)^{2}[/tex] +2 = 4.4 +2 = 16+2 = 18
finding the third term by putting n=3
t(3)=4.[tex](3)^{2}[/tex] +2 = 4.9 +2 = 36+2 = 38
hence first three terms are:
6,18,38,......,4[tex]n^{2}[/tex] +2
8+ Z8 = 0
What’s the answer
Answers
Answer:
z = -1
Step-by-step explanation:
0 = 8z + 8
-8 = 8z
-8/8 = z
z = -1
check:
0 = 8*-1 + 8
0 = -8 + 8
Find the output (y) of the function y=6x+4 if the input (x) is 2
Answers
Answer:
f(2) = 16
or
y = 16
Step-by-step explanation:
Step 1: Write out function
y = 6x + 4
Step 2: Define variable for problem
x = 2
Step 3: Plug into function f(x)
f(2) = 6(2) + 4
f(2) = 12 + 4
f(2) = 16
Step 4: Change f(2) to y
y = 16
I NEED TO FINISH THIS NOW PLZ HELP MEE!!
Answers
height of building A = 64 meters
height of building B = 87 meters
=====================================================
Explanation:
Refer to the diagram below.
I have added points A,B,C,D to help find the heights needed.
Focus on triangle BAC. This is a right triangle with 58 degrees as one of the known acute angles (angle BAC = 58). Also known is the adjacent side AB = 40. The unknown side we're after is side BC
------------------
tan(angle) = opposite/adjacent
tan(angle BAC) = BC/AB
tan(58) = BC/40
40*tan(58) = BC
BC = 40*tan(58)
BC = 64.013381161642
BC = 64 meters approximately
This is the approximate height of building A
---------------------
Now focus on triangle DAB
This is another right triangle. The acute angle is now 30 degrees as this is the angle of elevation.
tan(angle) = opposite/adjacent
tan(angle DAB) = DB/AB
tan(30) = DB/40
40*tan(30) = DB
DB = 40*tan(30)
DB = 23.094010767585
DB = 23 meters approximately
Add this onto BC to get
DC = DB+BC
DC = 64+23
DC = 87
Building B has a height of roughly 87 meters
--------
note: a more accurate value would be
DC = DB+BC
DC = 40*tan(30) + 40*tan(58)
DC = 87.107391929227
but when we round this to the nearest meter, we still get DB = 87
Which statement is true about the sum of two rational numbers? It can always be written as a fraction. It can never be written as a fraction. It can always be written as a repeating decimal. It can never be written a terminating decimal. ?
Answers
Answer:
It can always be written as a fraction.
Step-by-step explanation:
The importance of this question is to differentiate rational and irrational numbers.
Rational numbers can be written as a ratio, hence a fraction, or a repeating or terminating decimal.
Irrational numbers cannot be written as a ratio and will not have a terminating or repeating decimal.
So the first statement is true since the sum of two rational numbers will be rational.
The second statement is false since the sum of two rational numbers can absolutely be represented by a fractional ratio.
The third statement is false since the sum of two rational numbers is not always a repeating decimal.
The fourth statement is false since the sum of two rational numbers could be written as a terminating decimal.
Cheers.
I agree with the other person's response. The sum is always rational (it can always be written as a fraction of integers)
----------------
Here's a proof:
Let x and y be two rational numbers. This means
x = a/b
y = c/d
where a,b,c,d are integers. The denominators b and d cannot be 0.
----------------
Let's add x and y, then simplify
x+y = (a/b) + (c/d)
x+y = (ad/bd) + (bc/bd)
x+y = (ad+bc)/(bd)
This last expression is in the form p/q
p = ad+bc is an integer
q = bd is also an integer
we have a ratio or fraction of integers, therefore x+y is also rational
From a point on the ground the angles of elevation of the bottom and top of a tower fixed at the top of a 20m high building are 45 degree and 60 degree respectively. Find the height of the tower.
Answers
hope you understand..................................................................
-40 - 6n= 2(1 + 4n)
n=-13
n=-3
n = Infinite solutions
n=-12
Answers
Answer:
[tex]\huge\boxed{n=-3}[/tex]
Step-by-step explanation:
[tex]-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}[/tex]
Answer:
-3 = n
Step-by-step explanation:
-40 - 6n= 2(1 + 4n)
Distribute
-40 -6n= 2+8n
Add 6n to each side
-40 -6n+6n = 2+8n+6n
-40 = 2+14n
Subtract 2
-40-2 = 2+14n-2
-42 = 14n
Divide by 14
-42/14 = 14/14
-3 = n
Which of the following illustrates the truth value of the given mathematical statements? 6 + 3 = 9, and 4 • 4 = 16 T T → T T F → F F T → F F F → F
Answers
Answer:
TT→T
Step-by-step explanation:
6 + 3 = 9
4 • 4 = 16
TT→T both equation are true
There are 10 playing cards in a bag. 7 of those cards are spades.
What is the probability of picking a spade randomly from the bag?
Answers
Answer:
P(spades) = 7/10
Step-by-step explanation:
there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand
The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π. a 32.25 π b 95.03 π c 30.25 π d 17.27 π
Answers
Answer:
30.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
11 pi = 2 * pi *r
divide each side by 2 pi
11/2 = 2 ( pi) * r/ ( 2pi)
11/2 = r
We can find the area by
A = pi * r^2
= pi ( 11/2) ^2
= pi ( 121/4)
= pi ( 121/4)
= 30.25 pi
Answer:
[tex]\Huge \boxed{30.25 \pi}[/tex]
Step-by-step explanation:
The circumference of a circle formula is:
[tex]C= \pi d[/tex]
The circumference is given, solve for d.
[tex]11\pi=\pi d[/tex]
Cancel [tex]\pi[/tex] from both sides.
[tex]11=d[/tex]
The radius is half the measure of the diameter.
[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]
The area of a circle formula is:
[tex]A=\pi r^2[/tex]
Let r = 5.5, solve for the area.
[tex]A=\pi (5.5)^2[/tex]
[tex]A=\pi (30.25)=30.25\pi[/tex]
Which of the following are true?
Answers
Answer: c).
Both options are true. You can see that the whiskers of data set 2 (The lines extending on either side of the box plots) represent a much larger range of data than data set 1, and that the median in data set 2 (the line down the middle of the boxes) is greater than data set 1.
Hope this helps!
How do you graph y = √ 5 - x?
Answers
Answer:
How to graph y=√5 -x is shown in attachment
Step-by-step explanation:
Answer:
see attached
Step-by-step explanation:
As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.
For something like this, it is convenient to choose y and then compute the value of x that goes with it.
y = 0 = √(5 -x) ⇒ x = 5 -0² = 5
y = 1 = √(5 -x) ⇒ x = 5 -1² = 4
y = 2 = √(5 -x) ⇒ x = 5 -2² = 1
y = 3 = √(5 -x) ⇒ x = 5 -3² = -4
Once you have plotted the points, draw a smooth curve through them.
The total cost to repair Deborah's computer is repersented by0.08(50h)+50h, where h represents the number of hours it takes to repair the cmputer. What part of the expression repesents the amount of tax Deborah has to pay. Explain
Answers
Answer:
0.08(50h)
Step-by-step explanation:
The amount of tax payable over a particular object or goods is always represented as a particular percentage of the total cost of buying or repairing an object.
From the above question we are given the expression,
0.08(50h) + 50h = Total amount Deborah is paying to repair her computer
Note that: Total amount payable by Deborah = Cost (Price or amount) of fixing the computer + Tax
h = number of hours required to repair the computer.
Hence, the Cost (amount) to repair the computer = 50 × h = 50h
In the expression, we have
0.08(50h) = 8% of 50h
Tax is always represented as percentage of the cost of fixing the computer
Hence, 0.08 or 8% of 50 h equal to = 0.08(50h) = The tax Deborah is paying.
Therefore, the expression repesents the amount of tax Deborah has to pay is 0.08(50h)
subtract 9 hours 45 minutes from 12 hours 30 minutes
Answers
11 hrs and 90 mins
- 9 hrs and 45 mins
————————————-
2 hrs and 45 mins
2 hours 45 minutes
Step-by-step explanation:12h30m - 9h45m =
= (12×60m + 30m) - (9×60m + 45m)
= 750m - 585m
= 165 minutes
= 120m + 45m
= 2 hours 45 minutes
Tracy purchased a building for $209,350. The land appreciates about 4.5% each year. What is the value of the land after 15 years?
Answers
Answer:
Future Value = $405,151.38
----------
FV = PV * (1 + R) ^ N
FV = $209,350 (1.045) ^ 15 = $405,151.38
----------
PV = $209,350
R = 4.5%
N = 15 years
Step-by-step explanation:
So solve the following - 8 by 50 divided by 4 by 5
Answers
Answer:
20
Step-by-step explanation:
8*50=400 /4*5=20
400/20=20
Answer: -20
Step-by-step explanation:
-8 by 50 ÷ 4 by 5
-8 × 50 ÷ 4 × 5
[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]
A car travels for 10 minutes
at 30 km/h and then for
20 minutes at 45 km/h. What is the average speed for the whole journey
Answers
Answer:
40 km/h
Step-by-step explanation:
s = ut where s - Distance
u - Speed
t - Time
when t = 10 min
= 10/60 hours
S1 = 30 * 10/60
= 5km
when t= 20 min
= 20/60 hours
S2 = 45 *20/60
= 15 km
Then total distance = S1 + S2
= 5 + 15
= 20 km
Total time period = (10 + 20 ) / 60 hours
= 1/2 hours
Then average speed = U
S = UT
U = S/ T
= 20/ 0.5 km/ h
= 40 km/ h
Find the volume Of the cylinder with radius 8 CM and height 15cm, use 22/7. 376.8
3014.4
4011.7
3625.5
Answers
Answer:
[tex]\huge\boxed{ V = 3015.93\ cm\³}[/tex]
Step-by-step explanation:
Volume of Cylinder = [tex]\pi r^2 h[/tex]
Where r = 8 cm, h = 15 cm
=> V = (22/7)(8)²(15)
=> V = (22/7)(64)(15)
=> V = 21120/7
=> V = 3015.93 cm³
Answer:
[tex] \boxed{ \boxed{ \bold{ \sf{3014.4 \: {cm}^{3} }}}}[/tex]
Option B is the correct option
Step-by-step explanation:
Given,
Radius ( r ) = 8 cm
Height ( h ) = 15 cm
Let's find the volume of the cylinder having radius of 8 cm and height of 15 cm
Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]
plug the values
⇒[tex] \sf{ \frac{22}{7} \times {8}^{2} \times 15}[/tex]
Evaluate the power
⇒[tex] \sf{ \frac{22}{7} \times 64 \times 15}[/tex]
Calculate
⇒[tex] \sf{3.14 \times 64 \times 15}[/tex]
⇒[tex] \sf{3014.4 \: {cm}^{3} }[/tex]
Hope I helped!
Best regards!!
PLS help :) Which of the following qualities does not describe a line? Select all that apply.
1.has no width
2.imaginary
3.curved
4.has two endpoints
5.endless
Answers
Answer:
Hi there!
Step-by-step explanation:
In my opinion, the answer should be 1 (and maybe 4)
We can tell 1)has no width is the answer because the lines the one dimensional.
So the answer has to be number 1.
And...
Number 4 might also be correct because that would be a line segment (which goes on in both directions)
********************************************
So your answer should be letter 1 (also it might be letter 4 too, but I am not that sure)
Hope this helps!
~Have a great day!~
If you have any questions feel free to ask! :)
Evaluate................. (-7)²
Answers
Answer:
49
Step-by-step explanation:
(-7)² = (-7)(-7) = 49
2(t+5)+t=4
Solving linear equations
Answers
Answer:
t = -2
Step-by-step explanation:
To solve this equation, we can use algebraic techniques.
2(t + 5) + t = 4 Distribute the 2.
2t + 10 + t = 4 Combine like terms (variables).
3t + 10 = 4 Subtract 10 from both sides of the equation.
3t = -6 Divide by 3 on both sides of the equation.
t = -2
3.2k - 4.3 = 12.6k + 14.5
Answers
Answer:
k = -2
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
3.2k - 4.3 = 12.6k + 14.5
Step 2: Subtract 3.2k on both sides
-4.3 = 9.4k + 14.5
Step 3: Subtract 14.5 on both sides
-18.8 = 9.4k
Step 4: Divide both sides by 9.4
k = -2