Step-by-step explanation:
Let x=one side of the square; y=one side of the rectangle:
The perimeters are equal, so 4x=2y+22, or y=2x-11. The areas are given by x^2, and 11(2x-11). Since the square is 4 cm^2 larger than the rectangle, we get:
x^2-4=11(2x-11)
x^2-4=22x-121
x^2-22x+117=0
(x-13)(x-9)=0
x=13, or 9
Plugging 13 into our original equation, we get a square 13X13 or 169cm^2, and a rectangle (26-11)X 11, or 165cm^2, which satisfies our requirements!!!!!!
Five friends are at the movie theater.Each friend has 3/4 of the money needed to buy one bag of popcorn
Answer:
your question is incomplete but I imagine that your asking how many bags of popcorn they can buy? the answer is 3 or 15/4 depending on what your asking.
Step-by-step explanation:
(3/4)5
15/4
Answer:
3 bags your welcome! :D it's right in khan!
Step-by-step explanation:
To find the distance across the river, the given diagram is laid out. what is the distance rounded to the nearest meter?
Given:
Angle A = 18.6°
Angle B = 93°
Length of side AB = 646 meters
To find:
the distance across the river, distance between BC
Steps:
Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.
18.6° + 93° + ∠C = 180°
111.6° + ∠C = 180°
∠C = 180° - 111.6°
∠C = 68.4°
Therefore the measure of angle C is 68.4°.
now we can use the law of Sines,
[tex]\frac{BC}{sinA}=\frac{AB}{SinC}[/tex]
[tex]\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}[/tex]
[tex]BC[sin(68.4)] = 646 [sin(18.6)][/tex]
[tex]BC = \frac{646*sin(18.6)}{sin(68.4)}[/tex]
[tex]BC = \frac{646 * 0.3190}{0.9298}[/tex]
[tex]BC = 221.63[/tex]
[tex]BC = 222[/tex] meters
Therefore, the distance across the river is 222 meters.
Happy to help :)
If anyone need more help, feel free to ask
what is the interquartile range of the data shown in the box plot???
HELP
Answer: 14
Step-by-step explanation:
Take the values at either end of the box (80 and 66) and subtract.
2 x 3 x 6
(answer for points and brainliest:))
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
Well
lets go left to right (but it really doesn't matter as it's only multiplication the whole way)
2*3 = 6
6*6 = 36
36 is the answer
Ayoub is driving to France for his holiday.
He will drive a total distance of 300 miles. Ayoub sets off at 07:15.
It takes him 2.5 hours to travel the first 125 miles.
Use this information to estimate the time Ayoub will arrive.
Answer:
10:30 hours
Step-by-step explanation:
Total distance=300 Miles, Start Time=07:15
Distance travelled so far is 125 miles for 2.5 hours
First we need to calculate Ayoub's speed as follows
Speed=Distance/Time
=125miles/2.5hour
=50 miles/hr
The calculate the remaining distance
=300-125
=175 Miles
Assuming that Ayoub Travels in the same speed at the first 300 miles, the time he will use to cover the remaining 175 miles is
Time=Distance/speed
Substituting the values
Time=175/50
=3.5 hours
The time he will arrive at Paris is
07:15+03:30
=10:30 hours
In case you need such assistance in your homework message Tutor David on irenedavid at g mail dot com
Question 2
First calculate the time taken to travel from woodpine to Westray
Time=Distance/ Speed
=32.5/65
=0.5 hours or 30 minutes
Next we calculate the average speed
Average speed is calculated by taking the total distance divided by total time taken
Total distance =32.5+100
=132.5KM
Total time=2+0.5
Average speed=132.5/2.5
=53km/
9.4 ÷ 20
SHEEEEEEEEEEEEEEEESH
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
[tex]9.4 \div 20 \\ = 0.47[/tex]
AWARDING BRAINLIEST ASAP
What is the probability that 44 women survive
A television can be bought on hire purchase with a deposit of $800 and 20 monthly installments of $275. What is the hire purchase price
Answer:
the hire purchase price is $6300 .
A drone builder states in their terms of conditions that the battery for their foldable drone will last for more than 4 hours of continuous flight-time if the battery was fully charged before the flight. To test this, claim a sample of n = 10 drones were tested. The results showed a sample mean of 4.2 hours and a sample standard deviation of 0.4 hours. Conduct the hypothesis test using a 0.5 level of significance and determine whether or not the manufacturers claim is supported.
Answer:
The manufacturer's claim is not supported
Step-by-step explanation:
The time duration the battery of the foldable drone is said to last, μ = 4 hours
The number of drones that were tested, n = 10 drones
The sample mean, [tex]\overline x[/tex] = 4.2 hours
The standard deviation, s = 0.4 hours
The hypothesis test level of significance = 0.5
The null hypothesis, H₀; μ = 4
The alternative hypothesis, Hₐ; μ ≠ 4
The test statistic is given as follows;
[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s }{\sqrt{n}}}[/tex]
We get;
[tex]The \ test \ statistic, \ t =\dfrac{4.2 - 4}{\dfrac{0.4}{\sqrt{10} } } \approx 1.58113883008[/tex]
Therefore, the test statistic, t ≈ 1.58
The degrees of freedom, d. f. = n - 1
For n = 10, we have;
The degrees of freedom, d. f. = 10 - 1 = 9
From the t-table at 0.5 level of significance, the critical-t = 0.7
Given that the test statistic is larger than the critical-t, we reject the null hypothesis and there is enough statistical evidence to suggest that the manufacturer claim is not supported and that the mean is not 4 hours as claimed.
A scale drawing of a triangular playground is shown.
What is the perimeter, in feet, of the actual playground?
A. 31.5
B. 55.5
C. 84
D. 252
ASAP
Answer:
b
Step-by-step explanation:
Answer:
it's b fs[brainliest?]
Step-by-step explanation:
N 3 rows of 5. Colleen used tiles that measured 1 2 3 cm in length. Caroline used tiles that measured 3 1 3
Complete question :
Colleen and Caroline each built a rectangle out of square tiles placed in 3 rows of 5. Colleen used tiles that measured 1 2/3 cm in length. Caroline used tiles that measured 3 1/3 cm in length.
a. Draw the girls’ rectangles, and label the lengths and widths of each.
b. What are the areas of the rectangles in square centimeters?
c. Compare the areas of the rectangles.
Answer:
Colleen = 41.667 cm²
Carolina = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Step-by-step explanation:
To start with, we determine the total number of tiles used
3 Rows of 5 ; 3 in 5 places = 15
Length of collen's square tiles : 1 2/3 = 5/3
Area of collen's square tiles = square of side length, = (5/3)² = 25/9
Area of rectangle formed = area of square * number of tiles
(25 /9) * 15 = 41.667 cm²
Length of carolina's square tiles : 3 1/3 = 10/3
Area of collen's square tiles = square of side length, = (10/3)² = 100/9
Area of rectangle formed = Area of square * number of tiles
(100/9) * 15 = 166.667 cm²
Carolina's rectangle is larger Than Collen's
Estimate
9.7 + 42.9
HURRY PLEASE <3
Answer:
52.6 or you can make it 52.5
Step-by-step explanation:
The swimming pool has 20,000 gallons of water, he drains the pool at 5 gallons per minute write an equation that represents the number of gallons of water, w, remaining in the pool after, t ,minutes
Answer:
w=(-5t)+20,000
Step-by-step explanation:
Which graph doesn't belong?
A
B
C
Explain your thinking.
Answer:
C
Step-by-step explanation:
It is negative.
Tony's Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be
used to find the sale price.
175.0 23(175)
23.17523)
175 - 0230175)
23-17523)
Answer:
this doesn't make any sense.
Help .What is the measure of angle A?
Answer:
58
Step-by-step explanation:
adding and subtracting matrices
Answer:
I NEED POINTS
Step-by-step explanation:
I'm just gonna answer this.
I think it’s the first one, am I correct?
Explain!
Answer:
yes by SAS
Step-by-step explanation:
EN = RP
EM = PQ
Angle N = Angle R
Find the value of X and Y. Brainliest if you show work. Please and thank you
Answer:
x = 18, y = 7Step-by-step explanation:
Given is the cyclic quadrilateral.
Opposite angles of cyclic quadrilateral are supplementary:
m∠U + m∠W = 18014 + 4x + 6x - 14 = 18010x = 180x = 18m∠V + m∠T = 18015y - 4 + 12y - 5 = 18027y = 189y = 189/27y = 7U and w are opposing so supplementary
14+4x+6x-14=18010x=180x=18Same efor V and T
15y-4+12y-5=18027y-9=18027y=189y=7help me with my math please
Laura is walking for a local charity She earns 75 cents for every lap she walks How much does she earn for walking 50 laps
Answer:
She earns $ 37.5 by walking 50 laps
Step-by-step explanation:
This method is called unitary method.
If we know the value of 1 unit of an item we can calculate any number of units of item.
For 1 lap she earns 75 cents.
She walks 50 laps.
She earns for 50 laps = 50*75= 3750 cents
Now we have to converts cents into Dollars for convenience.
1$ = 100 cents
3750 /100 = $ 37.5
I NEED HELP WITH THIS ASAP PLEASE
Answer:
25.7, hope this helps
Step-by-step explanation:
1/2 2/3 3/4 the average
Answer:
23/36
Step-by-step explanation:
Add all the numbers
1/2 + 2/3 + 3/4 = 23/12
Divide by 3
23/12 / 3 = 23/36
Pre calculus
Will every function have a hole? Why or why not?
Answer:
No, not every function will have a hole. This is considered a special case. A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.
Can someone help me with this
Answer:
Options A, C, and F
Step-by-step explanation:
Amy has a jar of jelly beans. In the jar there are 14 red jelly beans, 22 blue jelly beans, 12 yellow jelly beans, and 8 green jelly beans. What is the probability that amy will randomly select a red jelly, eat it, and then select a green jelly bean?
Answer: G
Step-by-step explanation:
probability of picking a red jelly first = 14/56 or 1/4
probability of picking a green jelly next = 8/55
1/4*8/55 = 2/55
Probability of picking 2 marbles without looking out of a bag containing 2 red marbles, 2 blue marbles, and 2 white marbles. What is the probability that you will choose a red marble and then a blue marble without replacing the red one?
Answer: 2/15
Step-by-step explanation:
2 red
2 blue
2 white
6 total
2/6 chance of getting red (1/3)
2/5 chance of getting blue next
2/5*1/3 = 2/15
I think. Sorry if I’m wrong.
Someone help me out with this
Find the value of YZ
Answer:
YZ = 44
Step-by-step explanation:
Let the intersection of XW and YZ equal A. For this problem, we can use power of a point in the scenario where two secants intersect in the interior of a circle. We get the equation:
WA * AX = ZA * AY
We can substitute the values we are given to get:
(2x - 6)(21) = (x + 1)(30)
42x - 126 = 30x + 30
12x - 126 = 30
12x = 156
x = 13
Using segment addition postulate, we can say that:
YZ = YA + AZ
And we can plug in what we know from the diagram:
YZ = 30 + x + 1
We can also plug in the value of x, 13
YZ = 30 + 13 + 1 = 44
Can someone plz help me with this one problem plz!!!
Answer:
24, A
Step-by-step explanation:
(Length x height)÷2 = the area of a triangle