Answer:
Radius = 26 yards.
Step-by-step explanation:
The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).
Remember that the area of a circle of radius R is:
A = pi*R^2
where pi = 3.14
In this case, we know that the area is equal to 2,200 yd^2
Then:
A = 2,200 yd^2 = 3.14*R^2
Solving this equation we can find the value R.
(2,200 yd^2)/3.14 = R^2
√( (2,200 yd^2)/3.14) = R = 26.47 yards.
We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:
Radius = 26 yards.
Question 9 (5 points)
Find the distance between a point (6,9) and a horizontal line at y= 5.
OA) 15
B) 4
OC) 11
D) 14
Which expressions are equivalent to 6 + 12x?
Answer:
Expressions A, C, D are equivalent
Step-by-step explanation:
Equivalent expressions:
Two expressions are equivalent if they give the same result. So
Option A:
3(2 + 4x) =3*2 + 3*4x = 6 + 12x
So equivalent
Option B:
3(2 + 6x) + 2x = 3*2 + 3*6x + 2x = 6 + 18x + 2x = 6x + 20. So not equivalent
Option C:
5(1+2x) + 1 + 2x = 5*1 + 5*2x + 1 + 2x = 5 + 10x + 1 + 2x = 6 + 12x.
Equal, so equivalent
Option D:
7*(1+2x) - 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x - 2x - 1 = 6 + 12x
Equal, so equivalent.
Option E:
7*(1+2x) + 2x - 1 = 7*1 + 7*2x - 2x - 1 = 7 + 14x + 2x - 1 = 6 + 16x
Different, so not equivalent.
what does (b + 3) + 6= ?
Answer:
(b + 3) + 6 = b + 9
Explanation:
The order in which you add numbers together doesn't matter.
The dot plots show the math test scores from the sixth and seventh
grade students
Answer:
C
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees
What is the equivalent ratio??
Answer: 1:2
Since it is a half, we can simply use 1:2 since it is a one-to-two ratio.
Solve each system by eliminating one of the variables by addition or
subtraction.
Answer:
Step-by-step explanation:
hello :
here is an solution
Question 7 of 10 What is the interquartile range (IQR) of the data set represented by this box plot? ਤੇ 61 B9 ਮ A. 37 E. 5 C 1
Answer:
Find an interquartile range for an odd set of numbers: Second ... — (1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, ... Box Plot interquartile range: How ... Example question: Find the interquartile ... Q1 is represented by the left ... (GPA) in the following data set: ... The “1” in this Excel formula(A2:A10,1) represents the ...
Step-by-step explanation:
Answer:
D. 22
Step-by-step explanation:
Your answer is correct sir :)
How much money is 15% of $14.90
SHOW YOUR WORK
Answer:
The final price will be $12.67
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 14.9 × 15/100
Discount = 14.9 x 0.15
You save = $2.24
Final Price = Original Price - Discount
Final Price = 14.9 - 2.235
Final Price = $12.67
hope this helps and is right. p.s. i really need brainliest :)
Find the slope of each line (no links I’ll report)
Answer:
Slope = ⁵/7
Step-by-step explanation:
Slope (m) = change in y / change in x
Using two points on the graph, (-4, -4) and (3, 1),
Slope (m) = (1 - (-4))/(3 - (-4)) = 5/7
Slope (m) of the line = 5/7
How much money is needed to buy one fourths of a pound of butter at $.92 a pound 4 pounds of sugar at $.24 a pound and six eggs at $.72 a dozen
Answer:
$1.55
Step-by-step explanation:
(0.92/4) + (4 x 0.24) + (0.72/2) = 1.55
The principal of the school is looking over grade reports, specifically scores on math quizzes.
This box-and-whisker plot shows the results.
Find median and range in the given box plot:
Answer:
Range = 45
Median = 75
Step-by-step explanation:
Based on the attached box and whisker plot :
From the plot :
Maximum value = 95
Minimum value = 50
The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :
This point is marked 75.
Hence, median value = 75
Range = maximum - minimum
Range =. 95 - 50 = 45
In a 30°-60°-90° triangle, the side opposite of the 60° angle is 5V3. What is the length of
the hypotenuse? Just write the number.
Answer:
10
Step-by-step explanation:
Can't do that. I have to write some sort of explanation or the mods have a fit.
Side opposite = 5 √3
Sin(60) = √3 /2
Hypotenuse = x
Sin(60) = √3/2 = 5√3 / x
√3/2 = 5√3 / x Multiply both sides by x
x √3/2 = 5√3 Divide both sides by √3
x/2 = 5
x = 10
The hypotenuse is 10 units long.
Please help ASAP!!!!!
Answer:
First term of the given series = 4
The last term of the given series = 11
Step-by-step explanation:
Explanation
Given that the sum of the series
∑⁸ₙ₋₁ (n+3)
The [tex]n^{th}[/tex] term of the given sequence
aₙ = (n+3)
Put n=1
a₁ = 1+3 = 4
Put n=2
a₂ = 2+3 =5
Put n=3
a₃ = 3+3 = 6
Put n=4
a₄ = 4+3 =7
Put n=5
a₅ = 5+3 =8
Put n=6
a₆ = 6+3 =9
Put n=7
a₇ = 7+3 = 10
Put n=8
a₈ = 8+3 =11
The sequence of the given series
4,5,6,7,8,9,10,11
Final answer:-
First term of the given series = 4
The last term of the given series = 11
V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
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$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will.the job take
Answer: 5
Step-by-step explanation:
Stacy Arrington is paid $.73 for sewing a
jacket collar, $.86 for a sleeve with cuffs,
and $.94 for a lapel. One week she sewed
318 jacket collars, 112 sleeves with cuffs,
and 37 lapels. Find her gross earnings.
Answer:
Her gross earnings for that week were $ 363.24.
Step-by-step explanation:
Since Stacy Arrington is paid $ 0.73 for sewing a jacket collar, $ 0.86 for a sleeve with cuffs, and $ 0.94 for a lapel, and one week she sewed 318 jacket collars, 112 sleeves with cuffs, and 37 lapels, to find her gross earnings you must perform the following calculations:
(318 x 0.73) + (112 x 0.86) + (37 x 0.94) = X
232.14 + 96.32 + 34.78 = X
363.24 = X
Therefore, her gross earnings for that week were $ 363.24.
A researcher conducted a hypothesis test to see if students on average spend more than 1 hour per homework assignment. The level of significance, a, selected was 0.05. This means that if on average they do spend exactly 1 hour per assignment, then there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
a. Trueb. False
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
If you create a matrix, C, to show the inventory at the end of July, the value of the entry represented by C22 is ?
In a matrix with components aij, which represents unit sales for july, the maximum possible value that a31 can have is ?
Answer:
[tex]C_{22} = 389[/tex]
[tex]Max(A_{31}) =376[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Solving (a): The entry C22
First, matrix C represents the inventory at the end of July.
The entry of C is calculated as:
[tex]C = Inventory - Sales[/tex]
i.e.
[tex]C = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right] - \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}543-102&356-78&643-97\\364-98&476-87&419-59\\376-54&903-89&409-79\end{array}\right][/tex]
[tex]C = \left[\begin{array}{ccc}441&278&546\\266&389&360\\322&814&330\end{array}\right][/tex]
Item C22 means the entry at the second row and the second column.
From the matrix
[tex]C_{22} = 389[/tex]
Solving (b): The maximum A31 possible.
From the given data, we have:
[tex]Inventory = \left[\begin{array}{ccc}543&356&643\\364&476&419\\376&903&409\end{array}\right][/tex]
[tex]Unit\ Sales = \left[\begin{array}{ccc}102&78&97\\98&87&59\\54&89&79\end{array}\right][/tex]
From the matrices above.
A31 means entry at the 3rd row and 1st column.
So, the possible values of A31 are:
[tex]A_{31} = 376[/tex]
and
[tex]A_{31} = 54[/tex]
By comparison, 376 > 54
So:
[tex]Max(A_{31}) =376[/tex]
Which of the following inequalities matches the graph?
A. -2x + 3y > 7
B. 2x - 3y < 7
C. -3x + 2y ≥ 7
D. 3x - 2y ≤ 7
Khan academy pls help!
Answer:
The answer is b
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer:
4 feet
Step-by-step explanation:
MN/RT=MO/RS
6/3=8/RS
6RS=24
RS=24/6
RS=4
SORRY IF LATE AND WRONG!!!
Gideon is filling a container with sand. How much sand will fit in the container?
2 cm
19 cm
11 cm
A 32 cm
B. 209 cm
c. 418 cm
D. 629 cm3
Answer:
C) 418 cm
Step-by-step explanation:
19*11=209
209*2=418
formula for volume= l*w*h
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Polygon G H I J K has 5 sides.
Which statements are true about the regular polygon? Select three options.
The sum of the measures of the interior angles is 900°.
Each interior angle measures 108°.
All of the angles are congruent.
The polygon is a regular hexagon.
The sum of the measures of the interior angles is 180(5 – 2)°.
A regular polygon has equal side lengths and congruent interior angles.
The sum of the interior angles of any regular polygon is determined using the formula: (n - 2)180, where n is the number of sides.
Thus, given polygon GHIJK has 5 sides, we would have the following:
The polygon is a regular pentagon.
Sum of all its interior angles = (5 - 2)180 = 540°.
Each interior angle = 540/5 = 108°
Therefore, the statement that is true about the regular polygon are:
Each interior angle measures 108°.All its angles are congruent.Sum of the measures of the interior angles is 180(5 – 2)°Learn more about regular polygon on:
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Answer: b, c, e
Step-by-step explanation:
pls help me on this !!!
Answer:
7, 12, 13
Step-by-step explanation:
Use the Pythagorean theorem equation on all of them. The one that does not make the equation true is the answer.
a^2 + b^2 = c^2
A.
a^2 + b^2 = 18^2 + 80^2 = 6724
c^2 = 82^2 = 6724
Right triangle.
B.
a^2 + b^2 = 7^2 + 12^2 = 193
c^2 = 13^2 = 169
Not a right triangle.
C.
a^2 + b^2 = 3^2 + 4^2 = 25
c^2 = 5^2 = 25
Right triangle.
D.
a^2 + b^2 = 45^2 + 60^2 = 5625
c^2 = 75^2 = 5625
Right triangle.
Answer: 7, 12, 13
Alexis has 27.5 ounces of beads. How many necklaces can she make if each one uses 2.5 ounces?
Answer:
11
Step-by-step explanation:
27.5/2.5
If I apply distributive property to 6 (t + 12) = 114 then what operation will I need to use first
Answer:
Step-by-step explanation:
First divide 6 from the left size so it gets cancelled.
Basically 6 (t + 12) = 114 becomes (t + 12) = 114/6
Which becomes (t + 12) = 19
Now, (t + 12) - 12 = 19
Therefore, t = 19 - 12
Answer: t = 7
(whatever you do to one side, most be done to the other side too).
To check,
6(t+12)=114
6(7+12)=114
Solve brackets first, 6(19)=114
114=114
The first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
What is Distributive property?This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
As per the given data:
To apply distributive property in 6 (t + 12) = 114
Distributive property: A (B + C) = A × B + A × C
Now for, 6 (t + 12) = 114
First operation will be multiplying 6 with t and 6 with 12 and then adding both the terms:
6 × t + 6 × 12 = 114
6t + 72 = 114
6t = 114 - 72
6t = 42
t = (42/6) = 7
Hence, the first operation will be multiplying 6 with t and 6 with 12 and then adding both the terms also t is equal to 7.
To learn more about Distributive property, click:
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A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?
If p(x) = (2x – 7)(7x + 2), what are the zeros of the polynomial?
Answer:
x=7/2 and x=-2/7
Step-by-step explanation:
By the Zero Product Property, we will set both expressions equal to 0 and solve:
p(x) = (2x-7)(7x+2)
0 = (2x-7)(7x+2)
2x-7=0 and 7x+2=0
2x=7 and 7x=-2
x=7/2 and x=-2/7
The factors of the polynomial are (2x – 7) and (7x + 2). Then the zeroes will be 7/2 and negative 2/7.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The polynomial is given below.
p(x) = (2x – 7)(7x + 2)
Then the zeroes of the polynomial will be
The factor of the polynomial is already given. Then the zeroes will be
x = 7/2, -2/7
More about the factorization link is given below.
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Match each system of equations to its point of intersection.
y=2x+1
y=x+3
y=x+3
y=-3x-2
y= -x-7
y= x+3
y= -x-7
y= 2x+1
y= 2x+1
y= -3x-2
Answer:
Step-by-step explanation:
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