Answer:
Length of diagonal 1: 8 metersLength of diagonal 2: 10 metersStep-by-step explanation:
Let d1 be the first diagonal and d2 be the second diagonal.
Given
Area = 40 square meters
And one diagonal is 2 meter longer than other
[tex]d_2 = d_1+2[/tex]
The formula for area of kite is;
[tex]Area = \frac{1}{2} * d_1 * d_2[/tex]
Putting the known values
[tex]40 = \frac{1}{2} * d_1 * (d_1+2)\\80 = (d_1)^2+2d_1\\d_1^2 +2d_1-80 = 0\\[/tex]
The expression is a quadratic polynomial
Factorizing
[tex]d_1^2 + 10d_1-8d_1-80 = 0\\d_1(d_1+10)-8(d_1+10) = 0\\(d_1+10)(d_1-8) = 0\\d_1 + 10 = 0\\d_1 = -10\\d_1-8 = 0\\d_1 = 8[/tex]
As the value of length cannot be negative so discarding the negative value
[tex]d_1 = 8d_2 = d_1+2 = 8+2 =10[/tex]
Hence,
Length of diagonal 1: 8 metersLength of diagonal 2: 10 metersBen is now 3 times as old as his brother Jerry. In 5 years, Ben will be twice as old as Jerry will be then. Find their present ages.
Answer:
30 I am a little confused
3x+2(2x−1)=33
what is x?
Answer:
x = 5
Step-by-step explanation:
3x + 2(2x − 1)= 33
simplify
3x + 4x - 2 = 33
7x - 2 = 33
add 2 to both sides
7x - 2 + 2 = 33 + 2
7x = 35
divide both sides by 7
7x/7 = 35/7
x = 5
If f(x)=7x+2 and x=1 what is the output value? Plzzz help ASAP
Solve the equation:
2x+1>7
Answer:
-3 and infant soultion
Step-by-step explanation:
please since i gave u answer can u answe my recent question
Tell whether the angles are adjacent or vertical. Then find the value of x.
Porción indefinida de plano limitada por dos líneas que parten de un mismo punto o por dos planos que parten de una misma línea y cuya abertura puede medirse en grados.
ángulos adyacentes Ángulos que tienen el vértice común, un lado común que los separa y los otros dos lados en línea recta.
Answer:
They are adjacent. x=10/3
Step-by-step explanation:
7 inches of snow in 7 hours rate and unit rate
Answer:
unit rate: (1,1)
Step-by-step explanation:
plssssss help 0nly 1-4 i will give brainliest
Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0
Answer:
C. 2x² + 6x - 1 = 0
Step-by-step explanation:
2x² - 3 = -6x - 2
2x² - 3 + 6x = -6x + 6x - 2
2x² - 3 + 6x = -2
2x² - 3 + 6x + 2 = -2 + 2
2x² + 6x - 1 = 0
Hope that helps.
Why do parallel lines never cross?
Answers Are
Answer:
C. Because they have the same slopes and different y-intercepts
Step-by-step explanation:
Answer:
Your answer would be the 3rd one.
Because they have the same slopes and different y-intercepts.
I hope that this is the answer you were looking for!
Have a great day!
Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.
Answer:
8
Step-by-step explanation:
Y×2+3=19
19-3=16
16÷2=8
You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.
Karen says the functions f(×)=×+3 and g(×)= -×+7 intersect at x=2 is she correct
Answer:
Yes.
Step-by-step explanation:
To find the point of intersection we solve the system:
y = x + 3
y = -x + 7 Subtract:
0 = 2x - 4
2x = 4
x = 2.
She is correct.
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = x + 3 → (1)
y = - x + 7 → (2)
Substitute y = x + 3 into (2)
x + 3 = - x + 7 ( add x to both sides )
2x + 3 = 7 ( subtract 3 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Thus the functions intersect at x = 2
Zoey has a bag that contains orange chews, apple chews, and watermelon chews. She
performs an experiment. Zoey randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Zoey performs the experiment 57 times. The
results are shown below:
A orange chew was selected 39 times.
A apple chew was selected 6 times.
A watermelon chew was selected 12 times.
Based on these results, express the probability that the next chew Zoey removes from
the bag will be apple chew as a decimal to the nearest hundredth.
Answer: 54%
Step-by-step explanation:
Henry saw 28 blue, 16 red and 24 white cars drive by his house in 1 hour. What percent of the cars were blue? (Round answer to the nearest percent)
A. 24%
B. 65%
C. 41%
D. 35%
Answer:
C
Step-by-step explanation:
The percentage is calculated as
% = [tex]\frac{blue}{total}[/tex] × 100%
Total number of cars = 28 + 16 + 24 = 68
number of blue cars = 28, then
% blue = [tex]\frac{28}{68}[/tex] × 100% = 41% ( to the nearest percent )
What angles are they ?
number 2 is your answer
Answer:
number 2 is your answer
Step-by-step explanation:
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A principal of $6000 is invested in an account paying an annual rate of 5%. Find the amount in the account after 4 years if the account is compounded semiannually, quarterly, and monthly. (a) The amount in the account after 4 years if the account is compounded semiannually is $ nothing. (Round to the nearest cent.)
Solution :
Given :
Principal amount deposited, P = $ 6000
Rate of interest, r = 5%
Number of years, t = 4 years
When the deposited amount is compounded semiannually, i.e. n = 2
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.025)^8$[/tex]
= 6000 x 1.2184
= 7310.4
Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.
When the deposited amount is compounded quarterly, i.e. n = 4
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]
= 6000 x 1.219889
= 7319.334
Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.
When the deposited amount is compounded monthly, i.e. n = 12
Therefore,
Future value,
[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]
[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]
[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]
= 6000 x 1.22089
= 7325.34
Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.
HELP ASAP! WILL MARK BRAINLIEST
Answer:
it will be the first the 5th the 2nd and the 3rd
Can someone please help me . WILL MARK BRAINLIEST !!
Answer:
(3,0)
Step-by-step explanation:
Hope this helps
craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label
Answer: $7.06
Step-by-step explanation:
$0.98 + $1.19 + $4.89 = $7.06
the width of a rectangle is ycm and its length is y+2 cm. if the perimeter of the rectangle is 32cm what is the width of the rectangle
Answer:
[tex]\huge\mathtt{{\colorbox{silver}{ANSWER~~~↴}}}[/tex]
ꜰɪʀꜱᴛ ᴡᴇ ᴡʀɪᴛᴇ ᴛʜᴇ ɢɪᴠᴇɴ↴
⇒WIDTH = Y cm
⇒LENGTH =( y+2 )cm
⇒PERIMETER = 32cm
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
solution ↴
perimeter of rectangle = 2 ( length + width)
[tex]32cm = 2( (y +2) +y )cm \\ \frac{32}{2} cm = 2y + 2cm \\ 16cm = 2y - 2cm \\ 16 cm- 2 cm=2y\\ 14cm = 2y \\ y = \frac{14cm}{2} \\ y = 7cm
[/tex]
☛ so the width of the rectangle is 7cm
so we all done :D
▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃
32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.
Answer:
X: time mowing lawn (325 Cal/hour)
Y:time raking leaves (275 Cal/hour)
325X + 275Y = 885
3 - X = Y
(1.2 hours mowing the lawn, 1.8 hours raking leaves)
Step-by-step explanation:
you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.
I know the answer is 30 percent but I need the work
Answer:
See work below.
Step-by-step explanation:
There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.
6/20 = 0.3
Now, we need to multiply by 100 to convert to a percentage.
0.3 x 100 = 30%
Answer:
30% work below
Step-by-step explanation:
There are 20 squares in total if 6 are painted you get the fraction.
[tex]\frac{6}{20} /\frac{2}{2} = \frac{3}{10}[/tex]
3/10 as a decimal is .3
.3 as a percent is 30% because you move the decimal to the right 2 times.
Hope this helps ya!
PLZ HELP ME
look at the picture above
What do you know about the following System of Equations?
y=3x + 4
y 3x + 9
The graph of the lines will have one come point of intersection
The graph of the lines will have no common point of intersection
The graph of the lines will have an infinite amount of points in common
The lines are the same
Answer:
graph have no common points of intersection
Step-by-step explanation:
since both slopes have a value of 3, the system of equations are two parallel lines.
parallel lines will never meet.
since the y intercepts (plug in 0 for x or look at the constant) are different, they are not the same line
Determine whether the function is linear or nonlinear? Help
Answer:
linear
Step-by-step explanation:
If it is linear, for each unit increase in x, there should be a constant change in y.
x=1, y=5
in x=2, we expect y to increase by 5 units, so 5+5 = 10, which is right.
x=3, expect 5 units increase, and we do see that as 10+5 = 15.
x=4, expect 5 unit increase, and 15+5 =20 so we see that
this is linear function, if nonlinear then we would see different changes of y for each unit increase of x.
please give thanks by clicking the heart button :)
I need help fast! Given the diagram below, find the length of CH.
Answer:19.8
Step-by-step explanation: if you look at the lines it describes the length of the area it’s on. Since there is 4 lines on right side it would be 9.9+9.9 which would give you and answer of 19.8 so CH=19.8
Answer:
CH=12
Step-by-step explanation:
CH=12
9.9+9.9=19.8
19.8x19.8=392.04
8x8=64
392.04-64=328.04
v328.4=18
18-6=12
Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?
A). -12
B). -1
C). 5
D). 7
Answer:
Option (B) is the correct answer.
Step-by-step explanation:
Let 'x' the starting point be
She walks down 2 flights to visit a friend.
so walking down means we need to add 2 units to the starting point x
[tex]x+2[/tex]
Then he walks up 3 flights to deliver a message to a neighbor.
now subtracting 3 units from (x+2)
[tex]x + 2 - 3 = -1[/tex]
x = -1 means now he is UP to 1 point where he started his flight.
Thus, he needs to walk down 1 more flight to reach her starting point
Thus, -1 is the number of flights Brandie must walk to get back to her starting point.
Therefore, option (B) is the correct answer.
The ratio of buckets of yellow paint to buckets of red paint in the store is 3 to 4. There are 60 buckets of yellow paint. How many buckets of red paint are in the store?
Answer:
80 buckets of red paint
Step-by-step explanation:
Given
The ratio of buckets of yellow paint to buckets of red paint in the store to be 3:4
Total ratio = 3 + 4 = 7
Amount of yellow paint = 60
Required
Amount of red paint.
First get the total amount of paint used.
3/7 * x = 60
x is the total paint used
3x/7 = 60
3x = 7*60
x = 420/3
x = 140 buckets of paint
Amount of red paint = Total - Amount of yellow paint
Amount of red paint = 140 - 60
Amount of red paint = 80
Hence there are 80 buckets of red paint in the store
I don’t know if this correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!! PLEASE ANSWER !!!!!!!!!!!!!!
Step-by-step explanation:
the three angles =180
because they are supplementary angles
I hope this help
Explain how you can use the vertex form of a quadratic function to locate the vertex of the function's graph.
Answer:
quadratic function can find and write with the vertex and function the graph better.
Step-by-step explanation: