Answer:
31.6°
Step-by-step explanation:
The triangle given us a right angled Triangle
We solve the above question using the trigonometric function of Tangent
The formula is given as:
tan θ = opp/adj
θ = m∠G = ?
Opposite = EF is 28.2
Adjacent = GF is 45.8
tan θ = 28.2/45.8
θ = arc tan (28.2/45.8)
θ = 31.621459805°
Approximately
m∠G = 31.6°
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
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
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:
PLs give Brainliest
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
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 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 :)
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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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
Solve each system by eliminating one of the variables by addition or
subtraction.
Answer:
Step-by-step explanation:
hello :
here is an solution
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
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!!!
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
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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]
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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A triangle has angles measuring 108 and 24 degrees. What is the measure of the third angle?
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:
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
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
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
Can I please have Brainliest?
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.
Which of the following inequalities matches the graph?
A. -2x + 3y > 7
B. 2x - 3y < 7
C. -3x + 2y ≥ 7
D. 3x - 2y ≤ 7
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:
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.
what does (b + 3) + 6= ?
Answer:
(b + 3) + 6 = b + 9
Explanation:
The order in which you add numbers together doesn't matter.
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 :)
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.
Khan academy pls help!
Answer:
The answer is b
Step-by-step explanation:
$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:
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.
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.