Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.
There are 64 students in a class. 40 of them passed in Mathematics, 32 passed in Science and 15 passed in Mathematics as well as Science. How many students were unsucessful in both subjects ? (with process)
Answer:
7 students
Step-by-step explanation:
64 - (40+32-15) =
64 - (72-15)=
64-57 = 7
Given circle Q with a measure of SR= 120° and a radius of 9 feet, as shown below.
Determine the arc length of SR. Use mathematics to explain how you determined your answer
Has photo ❤️
Answer:
18.84feet
Step-by-step explanation:
Length of an arc = rtheta
radius r = 9feet
theta = SR= 120°
Convert theta to radians
theta = 120π/180
theta= 2π/3
Length of the arc = 9 * 2π/3
L = 18π/3
L = 6π
L = 6(3.14)
L = 18.84feet
Hence the length of the arc is 18.84feet
JELLO HELLO KNOCKS FOR HELP
Answer:
I think it's 9×30=270 (given
270-180 (sum of triangle
=90°
Which of the following is most likely the next step in the series?
Look at the photo
Solve for r. Round to the nearest tenth of a degree, if necessary. P 5 3.1 Q R
Returns on stock X are listed below: Period 1 2 3 4 5 6 7 Stock X 6% 5% -2% 10% 3% 8% -4% What is the mean of the data?
Answer:
The mean of the data is of 3.7143%.
Step-by-step explanation:
Mean of the data:
Sum of all returns divided by the number of returns.
Returns:
6% 5% -2% 10% 3% 8% -4%
7 returns.
Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%
Mean: 26%/7 = 3.7143%
The mean of the data is of 3.7143%.
The population of one type of fish, P.,, and another type of fish, P2, are modeled by the equations P1 = 10.000) and P2 = 1000(3) Where
I is the time in years.
Which expression describes the relationship between the populations P; and P2 in 3 years?
O A P2 = 1/2
O B. P2 = 1 / 1
OC P2 = 2 P
OD. P₂ = 1 / 2
OE P2 = 720P
5f - 2g + 3f - 4 - g
Answer:
8f-3g-4
Step-by-step explanation:
hope this helps U0U
Mr. Kelly pays $12,564 a year for rent. His rent is a constant amount each month.
Which equation represents the amount he pays per month if m = months and
c = total rent paid for the year?
Answer:
c=12,564
m=1,047
Step-by-step explanation:
I need a answer for this
Answer:
6
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 + 8^2 = 10^2
a^2 +64=100
a^2 = 100-64
a^2 = 36
Take the square root of each side
sqrt(a^2) = sqrt(36)
a = 6
The following pie chart represent the number of valid votes by four students the total no of voters is 720. A) who has won and by how many votes B) who got the minimum c) how man votes are obtained
Plz hurry plz I need urgently
Answer:
I only know this much.....
A) Deepthi has won the election.
B) Rashmi got minimum number of votes.
288 chocolates are put into three boxes The chocolate are put into a small box a medium box and a large box on the ratio 1:3:8
A 17-foot ladder is leaning against a building. The base of the ladder is 8 feet
from the base of the building. The side of the building and the ground form
a right angle as shown.
Enter the distance between the ground and the top of the ladder, x, in feet.
Answer:
Pythagorean theorem:
x^2 = 17^2 - 8^2
x^2 = 225
x = sqrt(225) = 15
The distance is 15 ft
Answer:
Solution given:
base=8ft
hypotenuse=17ft
perpendicular=?
By using Pythagoras law
hypotenuse ²=perpendicular ²+base²
17²=perpendicular ²+8²
perpendicular ²=17²-8²
perpendicular=[tex]\sqrt{225}=15[/tex]
the distance between the ground and the top of the ladder, x is 15ft.Determine the missing side length of the triangle please and thank you!
Answer:
90
Step-by-step explanation:
It is a right angle
Answer:
8.944
Step-by-step explanation:
Use the Pythagorean theorem to find the unknown side.
[tex]a^{2} +b^{2} =c^{2} \\x^{2} +8^{2} =12^{2} \\x^{2} = 12^{2} -8^{2}\\x=8.944[/tex]
Help, please!! I don’t have much time
Answer:
B.
Step-by-step explanation:
What is the volume of the following rectangular prism?
8/3units
21/2units2
Volume =___ units3
Answer:
73.5
Step-by-step explanation:
Step 1: 21/2 divided by 2 = 21/4
Step 2: 21/4 times 21/4 times 8/3 =
Answer: 73.5
The green shaded box is there to show that that is the base are to find the two sides that were multiplied to get that do the first step. Then do your basic volume formula: length times width times height.
Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2
Answer:
20 is right
Step-by-step explanation:
to easy I know maths
Answer:
When your comparing the two functions.
F(x)= 1/50(3)^x
G(x)=1/5x^2
When you compare it i think it would be C
PLEASE DONT QUOTE ME ON THIS
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIST
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
Question 32 The numbers represented by variables a and c, on the number line, are integers. if c > b > a, under which of the following conditions could the expression b < -1 be true? when a = -4 and c = 0 B when a = - 1 and c = 3 OO C when a O and c 8 when a 1 and c = 2
The number line inequality will be true for the following condition given in this problem:
When a = 0 and c = -8.
How are real numbers represented on a number line?On a number line, real numbers increase from left to right, meaning that:
Large negative numbers come before small negative numbers, which come before small positive numbers, and finally, come the large positive numbers.
For this problem, the inequality is:
c > b > a.
Which means that:
c is to the left of b.b is to the left of a.We have that b < -1, hence:
c < -1 (can be -2, -3, -4, and so on...).a > -1 (can be 0, 1, 2, 3, and so on)...Then the conditions that make the statement b < -1 true are given as follows:
When a = 0 and c = -8.
More can be learned about number line inequalities at https://brainly.com/question/24372553
#SPJ1
how many times larger is the 3 in 3,612 as in 1,347
Answer:
2700
Step-by-step explanation:
3 in 3612 is thousands
3in 1347 is hundreds
3000 - 300
= 2700
anong uri ito ng NGO/PO?
[tex]_____________________________________[/tex]
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂What strategies do you use when measuring the volume of a rectangular prism? Share your thinking using 2-3 sentences.
you wanna know my strategy? I grab a hammer, smash the rectangular prism open, and drink its insides and see how much my stomach fills. EZ.
Write the regression line equation for the following data.
X 43 21
25 42 57 59 33
Y 99 65 79 75 87 81
92
A) 0.53x - 3.58
B) 0.31x + 70.21
70.21 +0.31%
D) -3.58 +0.53x
Answer:
B) y = 0.31x + 70.21
Step-by-step explanation:
Put the data into 2 lists and use the LinReg feature on the TI-84 to get your regression equation.
Help please............. please
Answer:a!
Step-by-step explanation:
The mean area µ of the several thousand apartments in a new development is advertised to be 1250 square feet. A tenant group thinks that the apartments are smaller than advertised. They hire an engineer to measure a sample of apartments to test their suspicion. The appropriate null and alternative hypotheses, H0 and Ha, for this test are
Answer:
The appropriate null hypothesis is [tex]H_0: \mu = 1250[/tex]
The appropriate alternate hypothesis is [tex]H_a: \mu < 1250[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean area is the advertised area of 1250 square feet, that is:
[tex]H_0: \mu = 1250[/tex]
A tenant group thinks that the apartments are smaller than advertised.
Smaller, thus, at the alternate hypothesis, we test if the mean area is less than the advertised area of 1250 square feet, that is:
[tex]H_a: \mu < 1250[/tex]
Two friends, Parker and David, took summer jobs. The graph below represents David's earnings in dollars and cents, yy, for working xx hours.
Decide whether there is enough information to prove that r∥s. If so, state the theroem you would use.
Answer:
C
Step-by-step explanation:
if the two lines were parallel, then the alternate, on opposite side of the trasversal, exterior, or not inside the lines, angles would be congruent. sicne they are, the line are parallel
plz help i beg uu. Will give branliest
Drag and drop one equation into the space provided which correctly shows the relationship between the variables in the table.
Answer:
v = 2c
Step-by-step explanation:
If your Gross Pay for a week at work is $340, and you have to pay 23% in taxes, what is your Net Pay (what you take home)?
Answer:
$261.80 Net pay
Step-by-step explanation:
340 x 0.23 = $78.20 in taxes
$340 - $78.20 = $261.80 Net pay
Answer:
$261.8 Is how much you take home.
Step-by-step explanation:
(* is multiply)
In order to find the percentage of a value, you multiply the value by the percent. Think of 100% as a scale of 1 to 0.00, since 100% of something has all of it's value, so 50% would be 0.5
23% of 340 is 78.2 ( 340 * 0.23)
Subtract 340 by 78.2, and you get your net pay, 261.8
Another way to do this is subtract 100% by 23%.
so 1 - 0.23= 0.77, which is how much percent of that pay you get to keep
so 340 * 0.77 = 261.8