Answer: Assuming that the pool is square it would be 110.25ft.
Step-by-step explanation: multiply 5.25 by 2, then multiply 10.5 by 10.5 and you get 110.25
What happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number?
The value of the given expression increases, because as x decreases, 5/x increases
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, what happens to the value of the expression 5/x+5 as x decreases from a large positive number to a small positive number,
We know that, If the denominator of the fraction is decreased, the value of a fraction is increased while the numerator remains unchanged.
Therefore, if the value of x in the given starts decreasing the value of the whole fraction will start increasing.
Hence, the value of the expression increases, because as x decreases, 5/x increases
Learn more about expression, click;
https://brainly.com/question/13947055
#SPJ9
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
The coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis include the following:
P" = (-4, 0).
Q" = (-(3), 1) = (-3, 1).
R" = (1, -2).
What is a reflection?In Geometry, a reflection over the y-axis (y = x) is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the y-axis to the coordinates of triangle P′Q′R′, the coordinates of triangle P′′Q′′R′′ include the following:
(x, y) → (-x, y)
Coordinate P' = (4, 0) → Coordinate P" = (-(4), 0) = (-4, 0).
Coordinate Q' = (3, 1) → Coordinate Q" = (-(3), 1) = (-3, 1).
Coordinate R' = (-1, -2) → Coordinate R" = (-(-1), (-2)) = (1, -2).
Read more on reflection here: brainly.com/question/10260342
#SPJ1
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
x^2 + (y – 3)^2 = 36
Step-by-step explanation:
The standard equation of a circle with center at (h, k) and radius r is
(x - h)^2 + (y - k)^2 = r^2.
If the center lies on the y-axis, then h = 0: (x - 0)^2 + (y - k)^2 = r^2
If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36
So, among the given equations, your
x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).
9. The ratio of the measures of the three angles
10
in a triangle
is 10:3:7. Find the measure of the
largest angle.
Answer:
90 degrees
Step-by-step explanation:
10 + 3 + 7 = 20
10/20 x 180 = 90 degrees
Hope this helped :)
Answer:
The largest angle is 90 degree[10]
Step-by-step explanation:
Let 10:3:7 be x
10x+3x+7x = 180 [ angle sum property of a triangle ]
20x = 180
x=180/20
=9/1
=9
10x=10*9=90
3x=3*9=27
7x=7*9=63
90>63>27
therefore the largest angle is 90 degree.
Which ordered pair represents the point labeled as G?
negative one-half, one and one-fourth
three-fourths, three-fourths
0, negative one and one-fourth
negative one and one-fourth, negative one-half
Answer:
the answer should be negative one and one-fourth, negative one -half
Step-by-step explanation:
hope this helps
Aâ _______ is any event combining two or more simple events.
A compound event is any event combining two or more simple events.
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
combining two or more simple events.
As a general rule
When two or more simple events are combined, the result is a compound event
An example is selecting 1 in a die and head in a coin
This means that the statement that completes the blank is compound event
Read more about sample space at
https://brainly.com/question/2117233
#SPJ1
you go out to breakfast and order a meal that costs $7.24 and a coffee that costs $2.65. there is a 6.4% sales tax and you leave a 25% tip. what is the total cost of the meal?
answer: $13.14
$7.24 + $2.65 = $9.89
6.4% sales tax to $9.89 = $10.52
$10.52 + 25% tip = $13.14
In ΔJKL, l = 920 inches, j = 880 inches, and ∠K=157°. Find the length of k, to the nearest inch.
In the triangle ΔJKL, the length of side k found using the law of cosines is approximately 1764 inches.
What is meant by the law of cosines?
The law of cosines, commonly referred to as the cosine formula or cosine rule, is a relation in trigonometry that links the lengths of a triangle's sides to the cosine of one of its angles. It claims that we can determine the length of the third side of a triangle if we know the length of the first two sides and the angle between them.
If ABC is a triangle, then as per the statement of cosine law, we have:
c = [tex]\sqrt{a^{2}+b^{2}-2 a b \cdot \cos \gamma}[/tex]
where,
c = length of side c
a = length of side a
b = length of side b
γ = angle opposite c
Given a triangle, ΔJKL
The length of side l= 920 inches
The length of side j = 880 inches
∠K = 157°
According to the law of cosines,
k² = l² + j² - 2.l.j . cos K
= 920² + 880² - 2 * 920 * 880 * cos (157°)
= 846400+ 774400 - (-1490481.46)
= 3111281.46
k = 1763.88 = 1764 inches.
Therefore the length of side k found using the law of cosines is approximately 1764 inches.
To learn more about the law of cosines, follow the link.
https://brainly.com/question/30249060
#SPJ1
7/40 x 1/2 =?
Simplest form, please and thank you! (The slashes are fractions not division)
Answer: 7/80
Step-by-step explanation: This is already the simplest form of this fraction.
Answer: 7/80
Step-by-step explanation:
please help!!!! i did not know this was in 7th grade
What is the justification for step 1 in the solution process?
8x + 15 = 11x + 2
Step 1: 8x = 11x
13
The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The equation is given below.
8x + 15 = 11x + 2
Simplify the equation for 'x', then we have
8x + 15 = 11x + 2
8x = 11x + 2 - 15
8x = 11x - 13
The justification for step 1 in the solution process of equation 8x + 15 = 11x + 2 will be to substitute the negative sign before the number 13.
More about the solution of the equation link is given below.
https://brainly.com/question/29797035
#SPJ9
Pllease Help!! 25 points!!!!!
The required y-coordinate of system of equation is -3.
Explain about y-coordinate.The second component of an ordered pair is a y-coordinate. The y-coordinate denotes the directional separation of the point from the x-axis when an ordered pair is graphed as the coordinates of a point in the coordinate plane. The ordinate is another term for the y-coordinate.
According to question:We have,
y = x/2 - 4 and y = -2x + 1
Equate both equation
x/2 - 4 = -2x + 1
x - 8 = -4x + 2
5x = 10
x = 2
Then,
y = -2x + 1
y = -2(2) + 1
y = -4 + 1
y = -3
Thus, required y-coordinate of system of equation is -3.
To know more about Linear equation visit:
brainly.com/question/11897796
#SPJ1
please help me on this
Please help asap will give brainilest
Answer:
a
Step-by-step explanation:
A 6 month loan has $5,000 in proceeds and a discount rate of 10%. Determine the face value
Answer:
the face value of the loan is $5,263.16.
Step-by-step explanation:
To determine the face value of the loan, we need to use the formula:
Face Value = Proceeds / (1 - Discount Rate * Time)
where "Time" is the time period of the loan in years.
Since the loan is for 6 months, we need to convert this time to years by dividing it by 12. Therefore, "Time" = 6/12 = 0.5 years.
Now, we can substitute the given values into the formula:
Face Value = 5,000 / (1 - 0.1 * 0.5)
Face Value = 5,000 / (1 - 0.05)
Face Value = 5,000 / 0.95
Face Value = $5,263.16 (rounded to the nearest cent)
Therefore, the face value of the loan is $5,263.16.
TEXT ANSWER
Question 7
Are the sides proportional?
Set up each ratio of sides and determine if they are equal ratios. Show all of your work.
3.61 cm
R
44°
11.97 cm
9.71 cm
N
T
17.955 cm
14.565 cm
121°
M
44°
5.415 cm
The side lengths form a proportional relationship, and the ratios are given as follows:
17.955/11.97 = 14.565/9.71 = 5.415/3.61.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.For this problem, the triangles are similar, as they have the same angle measures, and thus the side lengths form a proportional relationship, as the equivalent side lengths have a ratio of 1.5.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
which ration is the largest 18: 5 or 27: 25
15 solids and liquids found in the house.
What are the mass 15 solids and volume of the 15 liquids.
Please help.
15 solids found in the house and their mass are:
Toilet paper roll - 0.25 kgCan of soda - 0.35 kgCoffee mug - 0.2 kgBooks - 0.5 kg (per book)Pillow - 0.7 kgLamp - 1.5 kgChair - 4 kgTelevision - 15 kgSofa - 30 kgMattress - 20 kgTable - 10 kgBlanket - 1.5 kgShoes - 0.5 kg (per shoe)Lampshade - 0.2 kgPlates - 0.1 kg15 liquids and volumes of these liquids :
Glass of water - 250 mLShampoo bottle - 500 mLDish soap bottle - 750 mLLaundry detergent bottle - 1.5 LMilk carton - 1 LCooking oil bottle - 2 LHand sanitizer bottle - 50 mLToilet cleaner bottle - 750 mLSpray bottle of cleaner - 500 mLKetchup bottle - 500 mLMustard bottle - 250 mLVinegar bottle - 1 LCooking spray can - 200 mLLiquid soap dispenser - 500 mLMouthwash bottle - 500 mLWhat are some typical solids and liquids in the house ?Some typical solid objects that can be found in a typical house would be chairs, tables, televisions, lamps and lampshades and tableware like plates, bowls, and spoons.
As for liquids, there is milk, mustard and ketchup. Then there are the cleaning liquids such as shampoos and hand sanitizers.
Find out more on solids at https://brainly.com/question/21500863
#SPJ1
factor the expression xy^2+y
Answer:
Step-by-step explanation:
y(xy+1)
Answer:
xy^2+y = y(xy + 1)
Step-by-step explanation:
In a triangle ABC, AB=AC. If D is the mid-point of the side BC, prove that:
i) AD is perpendicular to BC.
ii) AD bisects angle BAC
Answer:
Step-by-step explanation:
Given: In triangle ABC, AB = AC and D is the midpoint of BC.
To prove:
i) AD is perpendicular to BC.
We can prove this by using the midpoint theorem, which states that a line segment connecting the midpoints of two sides of a triangle is perpendicular to the third side and half as long as the third side.
Since D is the midpoint of BC, we have BD = DC. Thus, the line segment AD connects the midpoints of sides AB and AC of triangle ABC.
By the midpoint theorem, AD is perpendicular to BC and AD = BC / 2.
ii) AD bisects angle BAC
We can prove this by using the fact that if two line segments are perpendicular and one is an altitude of a triangle, then the two line segments divide the triangle into four smaller triangles that are congruent by SAS congruence.
Since AD is perpendicular to BC, we have two right triangles, ABD and ACD. By the Pythagorean theorem, we have AB = AC, which means that ABD and ACD are congruent by SAS congruence.
Since ABD and ACD are congruent, we have angle BAD = angle CAD. Also, since angle BAC is the sum of angles BAD and CAD, we have angle BAC = 2 * angle BAD.
Therefore, by substitution, we have angle BAC = 2 * angle CAD. This means that angle CAD is half of angle BAC, or in other words, AD bisects angle BAC.
Hence, we have proved that in triangle ABC, AD is perpendicular to BC and AD bisects angle BAC.
solve using substitution
y=60+2.5x and y=7.5x
Answer:[tex]x=12[/tex]
Step-by-step explanation:
AGAIN HELP!!!!!!!!!!!!!!!STILL TRYING TO TEACH MYSELF LOL
How do you find the expression for the nth term in an exponential sequence.
Example:-
1, 3, 7, 15
Answer:
Step-by-step explanation:
Ans:n^th=2n-1
we are going to use the formula of arithmetic sequence.
We need to find the first term of the sequence which is 1 and find the difference between any two number.
Then simply multiply the different by (n-1)
Finally add the result with first term which is 1.
Statements and Reasons Chart:
ABCD is a parallelogram.
The proof is given below.
What is parallelogram?A special form of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal.
Given:
ABCD is a quadrilateral.
The diagonal of ABCD are AC and BD.
∠1 ≅ ∠2
That means AB = CD. (the sides of opposite angles)
And BE = ED.
and BD bisect AC at E.
That means BE = BD.
To prove ABCD is a paralleogram:
∠AED ≅ ∠BED (opposite angle)
And EC = AE (given)
So, BC = AD.
The sides are equally spaced because the diagonals bisect each other.
So, the opposite sides are parallel.
Therefore, ABCD is a parallelogram.
To learn more about the parallelogram;
https://brainly.com/question/29133107
#SPJ1
what is the name of the relationship between ∠1 and ∠4?a. corresponding angles
b. alternate interior angles
c. obtuse angles
d. adjacent angles
The name of the relationship is b. Alternate interior angles.
Alternate interior angles are two angles that are located on opposite sides of a transversal line, but within the same two lines. When two lines are cut by a transversal line, the alternate interior angles are always congruent, meaning that they have the same measure.
In this case, angles ∠1 and ∠4 are alternate interior angles. Alternate interior angles are formed when two parallel lines are cut by a transversal line. When this happens, corresponding angles are formed on the same side of the transversal.
The alternate interior angles are the two angles that are on opposite sides of the transversal. These angles are also congruent, meaning that they have the same measure.
To summarize, alternate interior angles are two angles that are located on opposite sides of a transversal line and within the same two lines. In this case, angles ∠1 and ∠4 are alternate interior angles, meaning that they have the same measure.
For more questions like Corresponding angles visit the link below:
https://brainly.com/question/29086141
#SPJ4
The box plot represents the number of hours of battery life in different cell phones.What is maximum battery life?
Answer:
The maximum battery life is 27 hours
Step-by-step explanation:
The box plot represents the number of hours of battery life in different cell phones.
We have to find the maximum battery life.
What is box plot?
The box plot is a type of chart often used in explanatory data analysis.
Now,
By figure the maximum life of a battery is 27 hours.
Hence, The maximum battery life is 27 hours.
A factory made 9,200 jars of peanut butter. 93% of the jars contained creamy peanut butter. How many jars of creamy peanut butter did the factory make?
The total number number of creamy peanut butter jars are 8556.
What is percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given is that a factory made 9200 jars of peanut butter. 93% of the jars contained creamy peanut butter.
We can write the total number number of creamy peanut butter jars as -
{x} = 93% of 9200
{x} = 93/100 x 9200
{x} = 93 x 92
{x} = 8556
Therefore, the total number number of creamy peanut butter jars are 8556.
To solve more questions on percentage, visit the link below
https://brainly.com/question/25828076
#SPJ9
What is the highest common factor of 25, 75 and 150?
The required highest common factor of 25, 75, and 150 is 25.
What is the highest common factor?
The highest common factor (HCF) of two or more numbers is the largest number that divides all of the numbers exactly.
To find the HCF of 25, 75, and 150, we can first find the prime factorization of each number and then look for the common factors.
Prime factorization of 25, 25 = 5²
Prime factorization of 75:, 75 = 5² × 3
Prime factorization of 150, 150 = 2 × 3² × 5²
The largest factor that all three numbers have in common is 5², which is 25.
So, the HCF of 25, 75, and 150 is 25.
Learn more about the highest common factors here: https://brainly.com/question/11221202
#SPJ9
A small theater had 9 rows of 27 chairs each. Workers just removed 7 of these chairs. How many chairs are left?
Answer:
236
Step-by-step explanation:
number of chairs left = total chairs - 7 chairs
total chairs = 9 × 27
= 243
243 - 7
= 236
Answer: 236
Step-by-step explanation:
We have to figure out how many chairs there are in total so you will do 9*27. That is 243. If 7 were removed, you would do 243-7 which is 236. Therefore, there are 236 chairs left.
The circumference of a circle is 260.62 feet. What is the radius of the circle? Use 3.14 for π.
[tex] \: [/tex]
[tex] \rm{ {π ( pi ) = \bold{3.14}}}[/tex][tex] \: [/tex]
To find:-[tex] \rm{radius= ?}[/tex][tex] \: [/tex]
By using formula:-[tex] \boxed{ \rm{Circumference \: of \: circle \: = \bold{2πr}}}[/tex][tex] \: [/tex]
Solution:-[tex] \rm{C = 2 π r}[/tex][tex] \: [/tex]
[tex] \rm{260.62 = 2 × 3.14 × r}[/tex][tex] \: [/tex]
[tex] \rm{260.62 = 6.28r}[/tex][tex] \: [/tex]
[tex] \rm{r = \cancel\frac{260.62}{6.28} }[/tex]
[tex] \: [/tex]
[tex] \underline{ \boxed{ \rm{ \red{ \: r = 41.5 \: }}}}[/tex]
[tex] \: [/tex]
The radius of circle is 41.5.
hope it helps! :)