Let number be x
[tex] \leadsto \sf {x}^{2} + 2 = 227[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf {x}^{2} = 227 - 2[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf {x}^{2} = 225[/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf {x} = \sqrt{225} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf {x} = \sqrt{15 \times 15} [/tex]
[tex] \\ \\ [/tex]
[tex] \leadsto \sf {x} = 15[/tex]
Number = 15
pls help me
Lena wants to rent a boat and spend at most $91. The boat costs $8 per hour, and Lena has a discount coupon for $5 off. What are the possible numbers of hours Lena could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
Answer:
8t - 5 ≤ 91
8t ≤ 96
t ≤ 12
Christine can spend up to 12 hours in the boat.
The students in Mr. Philips science class folded paper airplanes and threw them to see whose airplane would fly the farthest. They recorded the distances in both meters and centimeters. Based on this information, what is the measurement in centimeters of a paper airplane that flew 4.5 meters?
A) 450 centimeters
B) 405 centimeters
C) 45 centimeters
D) 4,050 centimeters
Question 2
2.1
A car travels for 1 hour 30 minutes and covers a distance of 150 km. How
long (In hours and minutes) will it take the car to cover a distance of 260 km
at the same average speed?
Answer :
2 hours 36 minutes
Step-by-step explanation :
speed = distance / time
Distance = 150 km
time = 1 hour 30 minutes
= 1,5 hours
[tex]speed = \frac{150 \: km}{1.5 \: hours} [/tex]
[tex] speed = 100 \: km/hour[/tex]
Answer :How long will it take the car to cover a distance of 260 km at the same average speed ?
Time = Distance/Speed
= 260 km / 100 km/hour
= 2,6 hours
____________________
to convert hours to hours and minutes we can multiply by 60.
2, 6 hours
2 hours and 0,6 hours
0,6 = 3/5
3/5 × 60
60 ÷ 5 × 3
36 minutes
2,6 hours = 2 hours 36 minutes
Find the area and perimeter thank you math experts have a wonderful day
All below;
Step-by-step explanation:For the left shape;Green question mark = 10
50 (longer opposite side) - 40 = 10
Red question mark = 20
30 (longer opposite side) - 10 = 20
Perimeter = 160
30 + 50 + 10 + 40 + 20 + 10 = 160
Area = 700
30 * 50 = 1500; (Total area if it were fully a rectangle)
40 * 20 = 800; (Chunk of rectangle that is missing)
1500 - 800 = 700 (Total area - missing space)
For the right shape;Green question mark = 14
Opposite of the other side
Red question mark = 20
35 (longer opposite side) - 15 = 20
Perimeter = 152
35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152
Area = 630
35 * 22 = 770; (Total area if it were fully a rectangle)
14 * 10 = 140; (Chunk of rectangle that is missing)
770 - 140 = 630 (Total area - missing space)
When u need 20 characters or more
The women in the house across the street from the girl in the window
Answer:
what? I don't understand what your trying to say
The sum of two numbers is 3, and their quotient is 2. What are the two numbers?
Answer:
The answer is 2 and 1
Step-by-step explanation:
Sum means to add, so you are looking for two numbers that add up to equal 3.
2+1=3
Quotient means to divide, So secondly you would for two numbers that when divided equals 2
2 divided by 1 =2
hope this helps mark brainliest please :)
Your class sold cupcakes and brownies at a bake sale.you sold cupcakes for $1.50and brownies got $1.25.after selling 23items, you made $31.75.how many cupcakes did you sell?how many brownies?
Answer:
12 cupcakes were sold
11 brownies were sold
Step-by-step explanation:
Let c = number of cupcakes sold
Let b = number of brownies sold
Total number of items sold = 23
⇒ b + c = 23
cupcake = $1.50 each
brownie = $1.25 each
Total money made = $31.75
⇒ 1.5c + 1.25b = 31.75
Rewrite b + c = 23 to make b the subject, substitute into 1.5c + 1.25b = 31.75 and solve for c:
⇒ b = 23 - c
⇒ 1.5c + 1.25(23 - c) = 31.75
⇒ 1.5c + 28.75 - 1.25c = 31.75
⇒ 0.25c + 28.75 = 31.75
⇒ 0.25c = 3
⇒ c = 12
So 12 cupcakes were sold
Substitute found value for c into b + c = 23 and solve for b:
⇒ b + 12 = 23
⇒ b = 11
So 11 brownies were sold
The area of a rectangle is
5x+40ft. Factor 5X +40 feet to find the area
[tex]5x+40 = 5(x+8)[/tex]
Which best defines a compare and contrast text structure? Compare and contrast texts demonstrate the similarities and differences between two or more topics. Compare and contrast texts explain why things happen in terms of reasons and results. Compare and contrast texts outline a process or series of events in a time order from beginning to end. Compare and contrast texts outline different steps of a procedure in an ordered sequence.
Answer:
A) Compare and contrast texts demonstrate the similarities and differences between two or more topics
Step-by-step explanation:
Compare and Contrast is a text structure (or pattern of organization) where the similarities and differences of two or more things is discussed/explored.
Pierre’s unicycle wheel had a diameter of 80cm.
a) how far does the unicycle move if the wheel turns once?
Give your answer in metres, correct to 2 decimal places.
251.20 50 I think is the answer maybe not but at least try
I need help with question c
Answer:
take the common between dy and y
do similarly also with x .and make a equation
If eight people can fit at the dinner table, how many tables will be needed for 148 dinner guests?
Solve the problem.
Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead
of the slower car. The slower car has traveled 275 miles. Find the speeds of the two cars.
(A) 55 mph and 63 mph
B) 80 mph and 88 mph
C 57 mph and 65 mph
D) 47 mph and 55 mph
Answer:
A
Step-by-step explanation:
Let x = speed of the faster car, y = speed of the slower car
after t = 5 hours, distance of slower car = 275 = 5 * y, so y = 275/5 = 55 mph
distance of faster car = 275 + 40 = 315 miles
then x = 315/5 = 63 mph
Answer: A
2) ONE 200 - Gram bag of rice cost $8.12. How much does 1 kilogram of rice cost? (Note that 1000g = 1kg.)
How many different pairs of faces are congruent in a rectangular prism that is not a cube
Answer:
2
Step-by-step explanation:
every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other
Solve the system.
x = y +2
3x = 6 (y + 2)
Answer:
(x , y)=(0 , -2)
Step-by-step explanation:
A triangle has a 60 degree angle, and the two adjacent sides are 12 and 12 times the square root of 3. Find the radius of a circle with the same vertex as a center, if the arc inside the triangle divides it into two regions of equal area.
Please somebody ?
Correct answer gets BRAINLIEST !
The radius of the circle is a line from the center of the circle to its circumference
The radius of the circle with the same vertex as a center is 10.16 units
How to determine the radiusFrom the question, we understand that:
The adjacent sides of the triangle are 12 and [tex]12\sqrt 3[/tex]The triangle has an angle of 60 degreesStart by calculating the area of the triangle using:
[tex]Area = 0.5ab\sin C[/tex]
So, we have:
[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]
This gives
[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]
[tex]Area = 108[/tex]
The arc divides the triangle into two equal regions.
So, the area of the arc is:
[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]
[tex]Arc = 54[/tex]
Also, the area of the arc is:
[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]
Simplify
[tex]Arc = 0.523 * r^2[/tex]
This gives
[tex]0.523 * r^2 = 54[/tex]
Divide both sides by 0.523
[tex]r^2 = 103.25[/tex]
Take the square roots of both sides
[tex]r = 10.16[/tex]
Hence, the radius of the circle with the same vertex as a center is 10.16 units
Read more about circumcised triangles at:
https://brainly.com/question/4268382
Brittany has $900 in a savings account that earns 10% annually. The interest is not compounded. How much interest will she earn in 1 year?
Answer:
90$
Step-by-step explanation:
You multiply the number by 0.10 for your answer.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (900)(0.10)(1)\implies I=90[/tex]
A) 1/5 + 3/10
B) 7/8 - 1/4
Work out then simplify
Answer:
please follow me and take thanks
Find the area of each trapezoid.
Step-by-step explanation:
(1). 1/2(5.6+14)(9)
1/2(19.6)(9)
(9.8)(9)
=88.2
(2). 1/2(14+9)(8)
1/2(23)(8)
(11.5)(8)
=92
(3). 1/2(4+6.1)5.2
1/2(10.1)5.2
(5.05)(5.2)
=26.26
1.) 88.2 cm²
2.) 92 cm²
3.) 26.26 m²
4.) 131.25 dm²
5.) 4 m²
In hockey, a player gets credited with a “point” in their statistics when they get an assist or goal. The table shows the number of assists and number of points for 15 hockey players after a season.
assists points
22 28
16 18
46 72
19 29
13 26
9 13
16 22
8 18
12 13
12 17
37 50
7 12
17 34
27 58
18 34
Make a scatter plot of this data. Make sure to scale and label the axes.
The data for the assist forms the possible x-values, while the data for the
points represent the y-values of the scatter plot.
Response:
Please find attached the required scatter plot created with MS ExcelHow is the scatter plot of the data created?The given table is presented as follows;
[tex]\begin{tabular}{|c|c|c}Assist&Points\\22&28\\16&18\\46&72\\19&29\\13&26\\9&13\\16&22\\8&18\\12&13\\12&17\\37&50\\7&12\\17&34\\27&58\\18&34\end{array}\right][/tex]
A scatter plot of the above data can be created using MS Excel, by
entering the values into cells as presented above, selecting all values,
and selecting Insert then Scatter from the Chart sub-menu.
The scatter plot of the data is attachedLearn more about scatter plots here:
https://brainly.com/question/3083461
Graph the data.
Find and interpret the slope of the line through the points.
Answer:
-see link below for graph
-slope- 6/270
Step-by-step explanation:
link in comments
What is the area of this trapezoid?
Answer:
The area of the trapezoid is 40 ft
Step-by-step explanation:
11ft + 14ft + 15ft = 40 ft
*please help with my 1st question *
Use the FOIL method to find the product.
(s + 10)(s - 8)
Answer:
s²+2s-80
Step-by-step explanation:
First (first in each parentheses)
Outside (the two terms on the outside of the expression)
Inside (the two terms in the inside of the expression)
Last (last in each parentheses)
An example:
(a+b)(c+d)=ac+ad+bc+bd
Therefore...
(s+10)(s-8)=(s)(s)+(s)(-8)+(10)(s)+(10)(-8)=s²-8s+10s-80=s²+2s-80
At her last practice, she made 70% of her shots from the free-throw line. If
she shot the ball 130 times
How many times did she make a free throw
Answer:
ahem...
the answer you are looking for is.....
91! :)
Please answer!
Today, everything at a store is on sale. The store offers a 20% discount.
The discount price of a hat is $20. What is the regular price?
Answer:
$25
Step-by-step explanation:
$20 = 80%
100% to 80% = x 0.8 ( you have to do inverse)
$20/ 0.8 = $25
Simplify −8.5(0.3+0.4)÷(−5)+0.31.
Answer:
1.5
Step-by-step explanation:
You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 10th year of living in the apartment?
The monthly rent of the apartment in the 10th year is $1041.67.
What is the monthly rent during the 10th year of living in the apartment?The first step is to determine the yearly rent in the first year of living in the apartment.
Yearly rent = $900 x 12 = $10,800
The second step is to determine the yearly rent in the 10th year
$10,800 + (170 x 10) = $12,500
The third step is to determine the monthly rent
Monthly rent = $12500 / 12 = $1041.67
To learn more about division, please check: https://brainly.com/question/13281206
Answer:
243
Step-by-step explanation:
Water is flowing into the tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100-4t. What is initial volume of water in the tank?
Answer:
100 heavy on the way the calculations and the way solution of equipment and the questions
V(t)=100-4t so at the beginning of the experiment t=0
so you substitute to the given formula
V(0)=100-4(0)
=100litres .
Hello everyone, I'm just having trouble on a question for my Calculus work. Does anyone know where to start with this problem? Any help would be greatly appreciated!
Answer:
sin(8w)/1024 -sin(4w)/128 +3w/128
Step-by-step explanation:
No doubt there are a variety of formulas and identities that can be used. Absent knowledge of those, I found it convenient to rewrite the integrand using Euler's formula. It tells you ...
[tex]\sin(x)=\dfrac{e^{ix}-e^{-ix}}{2i},\quad\cos(x)=\dfrac{e^{ix}+e^{-ix}}{2}[/tex]
After some only slightly messy algebra, we find ...
[tex]\cos^4(w)\sin^4(w)=\dfrac{\cos(8w)-4\cos(4w)+3}{128}[/tex]
Then the integral becomes straightforward:
[tex]\displaystyle \int{\cos^4(w)\sin^4(w)}\,dw=\int{\dfrac{\cos(8w)}{128}}\,dw-\int{\dfrac{\cos(4w)}{32}}\,dw+\dfrac{3}{128}\int{}\,dw\\\\=\boxed{\dfrac{\sin(8w)}{1024}-\dfrac{\sin(4w)}{128}+\dfrac{3w}{128}}[/tex]
__
Additional comment
The slightly messy algebra involves the identities ...
(a+b)(a-b) = a² -b²
(a -b)⁴ = a⁴ -4a³b +6a²b² -4ab³ +b⁴
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
This means the given integrand is equivalent to
cos⁴(w) sin⁴(w) = (cos(w) sin(w))⁴ = (1/2 sin(2w))⁴ = 1/16 sin⁴(2w)
Also recall the half-angle identities for sine and cosine:
cos²(x) = 1/2 (1 + cos(2x))
sin²(x) = 1/2 (1 - cos(2x))
Then we can rewrite further as
1/16 sin⁴(2w) = 1/16 (sin²(2w))²
… = 1/16 (1/2 (1 - cos(4w)))²
… = 1/16 (1/4 (1 - 2 cos(4w) + cos²(4w))
… = 1/64 (1 - 2 cos(4w) + 1/2 (1 + cos(8w)))
… = 1/128 (3 - 4 cos(4w) + cos(8w))
You'll end up with the same solution as in the other answer:
[tex]\displaystyle \int \cos^4(w)\sin^4(w) \, dw = \frac1{128} \int (3 - 4\cos(4w) + \cos(8w)) \, dw \\\\ = \frac{3w-\sin(4w)+\frac18\sin(8w)}{128} + C \\\\ = \boxed{\frac{24w-8\sin(4w)+\sin(8w)}{1024} + C}[/tex]