Answer:
area = 6[tex]\sqrt{14}[/tex] units²
Step-by-step explanation:
Given the 3 sides of a triangle, we can use Hero's formula to calculate the area (A)
A = [tex]\sqrt{s(s-a)(s-b(s-c)}[/tex]
where s s the semi perimeter and a, b , c the sides of the triangle
let a = 5, b = 9 and c = 10
s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{5+9+10}{2}[/tex] = [tex]\frac{24}{2}[/tex] = 12
A = [tex]\sqrt{12(12-5)(12-9)(12-10)}[/tex]
= [tex]\sqrt{12(7)(3)(2)}[/tex]
= [tex]\sqrt{504}[/tex]
= [tex]\sqrt{36(14)}[/tex]
= 6[tex]\sqrt{14}[/tex] units²
Answer:
Step-by-step explanation:
a = 5 units ; b = 9units ; c = 10 units
Semi perimeter = (a+b+c)/2 = (5+9+10)/2 = 24/2 = 12 units
s-a = 12 -5 = 7 units
s -b = 12 - 9 = 3 units
s-c = 12- 10 =2 units
[tex]Area=\sqrt{s*(s-a)(s-b)(s-c)}\\\\=\sqrt{12*7*3*2}\\\\=\sqrt{2*2*3*7*3*2}\\\\=2*3\sqrt{2*7}\\\\=6\sqrt{14}\\[/tex]
=6*3.742 = 22.452
= 22.45 square units
Someone please help
1.20 Euro
BruhBruhBruh
Answer:
£1.20
Step-by-step explanation:
2/5 on magazine and 1/3 on dance lesson then we need to add these together by converting them to same fraction multiples.
2/5 x 3 = 6/15
1/3 x 5 = 5/15
6/15 +5/15 = 11/15
11/15 of 4.50 is found by division of the multiplier (the denominator)= 15
4.50/15 = 0.3 nb/ 0.3 = 1/15 of the whole 11 we search for
We then can multiply 0.3 x 11 as we have 1/15 and want 11/15
0.3 x 11 = 3.3
£3.30 = value of spending on dance lesson and magazine
0.3 x 4 = 1.2 = value of left over money
£1.20 converted to monetary
The ___ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,
The ___ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,
formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,
The _____ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant, is positive or zero.
A. Quadratic
B. No points
C. Conjugate
D. Division
Answer:
A. Quadratic
Step-by-step explanation:
your welcome and hope this helps
Final answer:
The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.
Explanation:
The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.
The quadratic formula is:
x = (-b ± √(b² -4ac)) / 2a
Where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.
The quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero. The quadratic formula is derived from the standard form of a quadratic equation, which is ax² + bx + c = 0. To find the points of intersection between a line and a quadratic, we would substitute the y-component (or x-component, depending on the variable used) of the line equation into the quadratic equation and solve for the remaining variable using the quadratic formula.
- Identify the outlier in the data set {12, 15, 20,
44, 18, 20}, and determine how the outlier
affects the mean, median, mode, and range of
the data.
The outlier in the data set {12, 15, 20, 44, 18, 20} is 44. It significantly increases the mean and range of the data set, but the median and mode are less affected. The outlier highlights sampling variability and induced variability.
The student has asked to identify the outlier in the data set {12, 15, 20, 44, 18, 20} and assess how it affects the mean, median, mode, and range of the data. Considering the provided data, it's apparent that the number 44 is the outlier since it is significantly higher than the rest of the numbers in the set. To confirm, we can calculate the interquartile range (IQR) and use it to detect outliers, but since the data set is small, a visual inspection is sufficient.
Without the outlier (44), the data set is {12, 15, 18, 20, 20}. The mean (or average) is calculated by adding all the numbers and dividing by the count of numbers, which results in a mean of (12 + 15 + 18 + 20 + 20) / 5 = 17. The median, which is the middle number when the data is sorted, is 18. The mode, the number that appears most often, is 20 in this case. As for the range, which is the difference between the largest and smallest number, it's 20 - 12 = 8.
With the outlier included, the mean becomes (12 + 15 + 18 + 20 + 20 + 44) / 6 = 21.5, the median remains 18, the mode is still 20, and the range expands to 44 - 12 = 32. Clearly, the outlier has a significant effect on the mean and range, causing them to increase, while the median and mode are less impacted due to their nature of being more resistant to extreme values. The presence of an outlier shows some degree of sampling variability and may introduce induced variability in the analysis of data.
How much would 300 invested at 5% interest compound monthly be worth after 8 years
Name the values of the 4s in the number 3,441.
Answer:
the first 4's value in ''441" is 400 ( its in the hundreds place ) and the the second 4's value in ''441'' is 40 (its in the tens place)
Step-by-step explanation:
*WILL GIVE BRAINLIEST*
A typical bone is made up
of which of these three
parts?
A. Dense outer layer, spongy bone,
marrow
B. Soft outer layer, spongy bone, marrow
C. Marrow, dense inner layer, dense outer
layer
D. Dense outer layer, spongy bone,
muscle tissue
which one plz help :(
Answer:
d. Dense outer layer, spongy bone,
muscle tissue
Step-by-step explanation:
it makes sense
what is -3+1/3=?
what is 5+6+7x+3=
Answer:
-3+1/3=-8/3 or-2.6, 5+6+7x+3=7x+14
Step-by-step explanation:
Answer:
-3+1/3= -2.66666666667
Step-by-step explanation:
Triangle ABC is similar to triangle DEF. What is EF?
Answer:
24
Step-by-step explanation:
First, divide 30.4 by 19 to get your factor.
You get 1.6
Then times 1.6 by 15 to get 24 for EF.
Which expression represents the volume, in cubic units, of the composite figure?
Answer:
11.17
Step-by-step explanation:
What is the new equation when you distribute the 2?
2(6x+14)=40
Answer:
12x+28 = 40
Step-by-step explanation:
2(6x+14)=40
Distribute the 2
2*6x +2*14 = 40
12x+28 = 40
2(b+c) (use the distributive property)
Answer:
2b + 2c
Step-by-step explanation:
when distributed, the 2 get multiplied by the b and the c, so you'd have 2b + 2c.
Answer:
Answer is 2b + 2c
Step-by-step explanation:
2(b+c) you multiply 2 with b and then with c
a triangular metal plate with a triangular metal plate placed in a box with a regular triangular prism with all the side edges 3 dm. It rests on the edge of the base and is inclined to the bottom of the box at an angle of 60 °. Calculate the area of the plate 0.01 dm2 accuracy. Take a look at how the spacing between planes is measured.
Answer:
6.75 dm²
Step-by-step explanation:
All the side edges in the regular triangular prism are 3 dm long. Then, the base of the triangular plate is 3 dm long, and the other two sides are: √[3² + 3²] = 4.24 dm long (a right triangle is made and Pythagorean theorem is applied).
The height of the triangular plate is: √[4.24² + 1.5²] = 4.5 dm long (again Pythagorean theorem is applied)
Area of the triangular plate is: base*height/2 = 3*4.5/2 = 6.75 dm²
PLEASE HELP!! WILL GIVE BRAINLIEST !!!
Which of the following is true of the data represented by the box plot?
box plot with point at 15, min at 17, Q1 at 51, median at 65, Q3 at 74, max at 90
A) If the outlier is included in the data, the median would not significantly change.
B) If the outlier is included in the data, the mean would increase.
C) If the outlier is included in the data, the box plot would be significantly skewed.
D) If the outlier is included in the data, the length of the tails would change significantly.
Answer:
the outlier is the point at 15
the data is skewed to the bottom because the values below the median are far more spread out; there are more extreme values that are far below the median than above the median.
Step-by-step explanation:
A) If the outlier is included in the data, the median would not significantly change.
Box Plot is a pictorial way of denoting data's distribution on the basis of Quartile 1, Quartile 3, Minimum, Median and Maximum
Outliers are the data observations or points, lying at huge significant difference (distance) from other concentrated data observation points.
A data value below the Box Plot Minimum, or above the Box Plot Maximum is an Outlier.Median is a Positional average, the mid point of data. It divides the data into two equal halves, 50% below it & 50% above it.
Median is not effected by extreme values like Outliers. So, inclusion of outliers doesn't significantly change Median.Mean is an Arithmetic Average. It is effected by extreme values like outliers. However, in this case of presence of Lower Outlier, the mean would decrease rather than increasing.
Skewness or Tail in the data denotes concentration of values in either (lower or higher side). It is not related to outliers.
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Describe how the area of a rectangle will change if its width remains
constant but its length is doubled.
Answer:
its the 2nd one
Step-by-step explanation:
Find the surface area of the pyramid shown below. The base is a rectangle and the opposite
triangular faces are the same size and shape.
Answer:
SA = 397
Step-by-step explanation:
The area of the rectangle is L x W = 18 x 7 = 126
The area of the triangle[tex]\frac{1}{3}[/tex] face is
A = [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex] 18 x 10
A = [tex]\frac{1}{2}[/tex] 180
A = 90
Since there are two triangles the same size we times by 2
90 x 2 = 180
The triangles on the left and right sides are two other sizes compared to the other two triangles
A = [tex]\frac{1}{2}[/tex]bh
A = [tex]\frac{1}{2}[/tex] 7 x 13
A = [tex]\frac{1}{2}[/tex] 91
A = 45.5
Since there are two triangles the same size we times by 2 again so it will be 91
Than we add them up
91 + 126 + 180 = 397
Sorry if its wrong
Find the equation of the line that is perpendicular to y = – 1 3 x + 2 and passes though the point (–5, 2)
A) y = 3x + 13
B) y = 3x + 17
C) y = –3x + 13
D) y = –3x + 17
Answer:
y = 3x + 17
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1. Without solving, identify whether this equation has a solution that is positive, negative, or zero:
3x – 5 = -3
2. Solve the equation.
x - 5(x - 1) = x - (2x - 3)
Answer:
3
Step-by-step explanation:
The equation will have a positive solution and the value of x will be 2/3.
What is an equation?A mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x - 5(x - 1) = x - (2x - 3)
On solving,
x-5x+5 = x-2x+3
3x = 2
x = 2/3
Hence, The equation will have a positive solution and the value of x will be 2/3.
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Mila has 7 stamps. Dante has 84 stamps.
Dante has how many times as many stamps as Mila? Enter the answer in the box.
Answer:
Dante has 12 times more stamps as Mila
Step-by-step explanation:
7 x 12 = 84
Answer:
12
Step-by-step explanation:
84 divided by 7 is 12
9. Find the vertex of f(x) = –2x2 - 4x – 8
a. Vertex: (-1,-6) b. Vertex: (-6,-1) C. Vertex: (2,1)
d. Vertex: (1,6)
e. Vertex: (1,-6)
Answer:
A is the answer, (-1,-6) is the vertex.
Step-by-step explanation:
With any quadratic, the formula for the x coordinate of the vertex is -b/2a.
In this case it is -(-4) / 2(-2) = 4 / -4 = -1.
To find the y, simply substitute the x.
f(-1) = -2(-1)² – 4(-1) – 8 = -2 + 4 – 8 = 2 – 8 = -6
What is the solution set of 6x2-24=0
Answer:
x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month. How
much money will he have at the end of December?
A) 186.72
B) 208.72
C) 188.56
D) 204.56
Answer: B
Step-by-step explanation:
The answer is 32.2102.
In June, Cory begins to save money for a video game and a TV he wants to buy in December.
He starts with $22. Each month he plans to save 10% more than the previous month.
How to find how much money will he have at the end of December?
the given scenario is an application of a geometric sequence with
a1=$20 and r= 22/2 *100 = 1.1
. Since December is 6 months from June, then to find out the 6th term.
As, a2 = a1 * r = 20 × 1.1 = 22
a3= a2 *r = 22 * 1.1 = 24.2
a4= a3 * r = 24.2 * 1.1 = 26.62
a5=a3 * r = 26.62 *1.1 = 29.282
a6= a4*r = 29.282 * 1.1 = 32.2102.
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NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Betsy's high school is putting on a production of a play as a fundraiser for the school's music programs. A local bank has agreed to allow the school to use a line of credit from which they can withdraw money to pay for the play. Then, any deposits they make at the bank will be applied to the negative balance of the credit account.
The play cost $3,200.00 to produce, and they intend to sell tickets for $10 each. After the play, Betsy will take the ticket proceeds and deposit them with the bank. If 1,007 people attend the play's opening night, what will the balance of the bank account be?
A.
$13,270
B.
$6,870
C.
$10,070
D.
- $3,099
Answer:
B. $6,870
Step-by-step explanation:
Calculate how much money they earned from tickets then subtract the cost of making and that's their balance:
(1007×10)-3200=
10070-3200=
$6,870
B. $6,870
Final answer:
After calculating the total proceeds from selling tickets to 1,007 attendees at $10 each, the balance of the line of credit used to fund the play's production ($3,200) will be a positive $6,870.
Explanation:
The question pertains to a fundraiser calculation for Betsy's high school play. To determine the balance of the bank account after ticket sales, we must calculate the total proceeds from selling tickets to the attendees and then adjust the balance of the line of credit that was originally used to fund the production.
The production cost is $3,200.00, and tickets are sold at $10 each. With 1,007 people attending, the total ticket proceeds will be 1,007 imes $10 = $10,070. Since the school used a line of credit to pay for the play, the proceeds will pay off this balance. Hence, after depositing the ticket sales, the balance is:
Balance after deposit = Ticket proceeds - Production costs
= $10,070 - $3,200
= $6,870 (Credit balance)
The correct balance of the bank account after the play's opening night is therefore $6,870 (Option B).
Calculate the area of the shaded region
Answer:
48π or 150.72
Step-by-step explanation:
The radius of the big circle is 8.
We can use that to find the area of the big circle.
Area is πr^2
π(8)^2
64π
Now, we can find the area of the small circle.
The diameter of that is 8, meaning the radius is 4.
πr^2
π(4)^2
16π
Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.
64π-16π=48π
As a decimal: 48*3.14=150.72
Question 12 (Multiple Choice Worth 5 points)
(05.02 MC)
What is the slope-intercept form equation of the line that passes through (5, 7) and (8, 22)?
Oy= -5x + 18
Oy=5x - 18
Oy=-5x - 18
O y = 5x + 18
Answer:
y = 5x - 18
Step-by-step explanation:
Points:
Equation of the line:
y = ax + b
(5; 7) and (8; 22)
(5; 7)
7 = 5a + b
(8; 22)
22 = 8a + b
a and b are the same values:
{- 5a - b = - 7
{8a + b = 22
3a = 15
a = 5
5a + b = 7
5.5 + b = 7
25 + b = 7
b = 7 - 25
b = - 18
Equation:
y = 5x - 18
I Hope I've helped you.
Final answer:
The slope-intercept form equation of the line that passes through the points (5, 7) and (8, 22) is y = 5x + 18, found by first calculating the slope and then using the point-slope form to solve for y.
Explanation:
To find the slope-intercept form of the equation of the line that passes through the points (5, 7) and (8, 22), we first need to calculate the slope (m). The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using our points, this becomes:
m = (22 - 7) / (8 - 5) = 15 / 3 = 5
Now, we use one point and the slope in the point-slope form of the equation, y - y1 = m(x - x1), which becomes:
y - 7 = 5(x - 5) => y - 7 = 5x - 25
Solving for y to get the slope-intercept form, y = mx + b:
y = 5x + (25 - 7) = 5x + 18
So, the correct slope-intercept form equation of the line is y = 5x + 18.
Two angles in a triangle measure 1020 and 670. What is the measure of the third angle?
O 110
O 78°
1130
1699
Answer:
A) 110°
Step-by-step explanation:
All triangles equal 180, so:
102 + 67 + x = 180
169 + x = 180
x = 11
What is the probability Jane gets a cone with any ice cream and any topping?
1/12
1/4
1/2
2/3
2/7> b+5/7 what is “B”
Answer:
-3/7 > b
Step-by-step explanation:
2/7> b+5/7
Subtract 5/7 from each side
2/7-5/7> b+5/7-5/7
-3/7 > b
Ahmed is riding the elevator in a building. The building has floors above and below ground level. Ahmed uses the expression below to describe his movement.
6 + (negative 8)
Which statement could describe Ahmed’s movement?
Final answer:
Ahmed's movement described by the expression 6 + (negative 8) suggests he moves from the sixth floor above ground level down to the second floor below ground level.
Explanation:
The expression Ahmed uses to describe his movement in the elevator is 6 + (negative 8). To understand this expression in the context of elevator movement, 6 could represent Ahmed starting on the sixth floor above ground level. The addition of negative 8 would signify moving 8 floors downward. Thus, the expression indicates that Ahmed moves from the sixth floor down to the second floor below ground level (since 6 - 8 equals -2). The negative result corresponds to floors below ground level. Therefore, the statement that could describe Ahmed's movement is: Ahmed moves from the sixth floor above ground level down to the second floor below ground level.
what is the awnser to x²=4/9
Answer:
x = ±2 /3
Step-by-step explanation:
x²=4/9
Take the square root of each side
sqrt(x²)=±sqrt(4/9)
We know sqrt( a/b) = sqrt(a) / sqrt(b)
x = ±sqrt(4/ sqrt(9)
x = ±2 /3
If y=-16 when x=4 find x when y=48
Answer:
x= -12
Step-by-step explanation:
Assuming this is a direct variation
y = kx
When y = -16 x =4 we can find k
-16 = k*4
Divide each side by 4
-16/4 = 4k/4
-4 =k
So
y = -4k
Y = 48
48 = -4x
Divide each side by -4
48/-4 = -4x/-4
-12 =x