Answer:
The area of the irregular shape is 62 feetExplanation :
We are given with two shapes triangle and a rectangle.
From the above diagram
We can see that Breadth of the rectangle is 5 ft and length of 10 ft.
As we know that area of Rectangle is length × Breadth
Area(rectangle) = l × b
Area (rectangle) = 10 × 5
Area (rectangle) = 50 ft².
Now,
Area (triangle) = bh ÷ 2where
b is base (10 - 6 = 4 ft)h = Height (11 - 5 =6 ft)Area (triangle) = 4 × 6 ÷ 2
Area (triangle) = 24 ÷ 2
Area (triangle) = 12 ft².
Total area = Area of rectangle + Area of triangle
Total area = 50 + 12
Total area = 62 feet
Therefore, The area of the irregular shape is 62 feet.
A rectangular prism is being designed to have a volume of 36 cubic units. Find the minimum surface area in square units for the prism if the edge lengths are positive integers.
The rectangular prism with the minimum surface area is the fourth rectangular prism with dimensions 4 × 3 × 3 and a minimum surface area of 108 square units. Therefore, the minimum surface area is 108 square units.
A rectangular prism is being designed to have a volume of 36 cubic units. We want to find the minimum surface area in square units for the prism if the edge lengths are positive integers.The volume of a rectangular prism is given by the formula;V = l × w × hWhere V is the volume, l is the length, w is the width, and h is the height. In this case, the volume of the rectangular prism is 36 cubic units.
V = 36We can find the minimum surface area of a rectangular prism given its volume by using the formula;SA = 2lw + 2lh + 2whWhere SA is the surface area, l is the length, w is the width, and h is the height. We want to minimize SA.So, let's minimize SA using the given information.V = lwh = 36This means that the length, width, and height are not all equal.
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anyone please help on my 7th grade math
Answer:
okay i will gladly
Identify the vertex of the system of inequalities.
The vertex of the system of inequalities is (-6, 3)
Identifying the vertex of the system of inequalities.From the question, we have the following parameters that can be used in our computation:
The graph
Next, we examine the graph of the system of the inequalities
From the graph, we have solution to the system to be the shaded region
The coordinates in the vertex of the systems of inequalities is (-6, 3)
So, the vertex is (-6, 3)
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14#A corporation that maintains a large fleet of company cars for the use of its sales staff is interested in the mean distance driven monthly per salesperson. The following list gives the monthly distances in miles driven by a random sample of 11 salespeople.2482, 2300, 2640, 2085, 2425, 1851, 2346, 1876, 2444, 2153, 2290Send data to calculatorBased on this sample, find a 95% confidence interval for the mean number of miles driven monthly by members of the sales staff, assuming that monthly driving distances are normally distributed. Give the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place.
Solution
Given the data set 2482, 2300, 2640, 2085, 2425, 1851, 2346, 1876, 2444, 2153, 2290
The confidence interval formula is
Calculate the standard deviation of the data
The standard deviation is
237.67
Calculate the sample mean
The mean is 2262.91
\(\begin{gathered} s=237.67 \\ n=11 \\ mean=2262.909 \\ z=1.96 \end{gathered}\)\(\begin{gathered} CI=2262.909\pm1.96(\frac{237.67}{\sqrt{11}}) \\ CI=2262.909\pm1.96(71.6602) \\ CI=2262.909\pm140.453992 \\ CI\text{ = 2122.455008 to 2403.362992 to} \end{gathered}\)Thus, the lower limit is
2122.455 ( 3 decimal places)
The Higher limit is 2403.363 ( 3 decimal places)
I reallyyy need help... this is due today And I don’t know how to do it
find the equation to the line below acellus y= HELPPP
Answer:
(5,3) and (0,-1)
Gradient,m =3-(-1)/5-0
m=4/5
y=mx+C
y-3=4/5 (x-5)
y=4x/5-4+3
y=4x/5 -1
I need some help with these 4 questions
Answer:
ok, but where are the four questions?
Answer:
Hey mate.....
Step-by-step explanation:
Which questions are you even talking about???????
Lol
Javier sold 457 tickets for the school play. Student tickets cost $2 and adult tickets cost $3. Javier's sales totaled $1161. How many adult tickets and how many student tickets did Javier sell? O 215 adult, 242 student 0 242 adult, 215 student O 247 adult, 210 student О 210 adult, 247 student
Answer:
C
Step-by-step explanation:
trust me
Michelle's dad decides to put fencing around the backyard. He creates a scale drawing where every 3 inches represents 13 feet. No fence is needed against the house. Find the amount of fencing he needs for this project.
The amount of fencing he needs for this project is 247 feet.
Data;
17in14in6inPerimeter of the FigureTo find the length of the fence required, we need to find the perimeter of the figure and note that this is excluding the perimeter of the house.
The perimeter of the figure is
\(P = 2(14+6) + 17 = 57in\)
The perimeter of the figure is 57in.
But we were told that every 3 in represents 13 feet.
\(3in = 13ft\\57in = x\\x = \frac{57 * 13}{3} \\x = 247ft\)
The amount of fencing he needs for this project is 247 feet.
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Solve the system.
2x + y = -3
-2y = 6 + 4x
Write each equation in slope-intercept form
Answer:
y=−3−2x
Step-by-step explanation:
y=−2x−3
Answer:
The answer for both is y=-2x-3
Step-by-step explanation:
I hope this helps!
with similar triangles, the corresponding angles are equal. T/F
True. With similar triangles, the corresponding angles are equal. This property is one of the fundamental characteristics of similar triangles.
Similar triangles are triangles that have the same shape but possibly different sizes. They have corresponding angles that are equal, meaning that the angles in one triangle match the angles in the other triangle. This correspondence allows us to establish proportional relationships between the corresponding sides of the triangles.
The corresponding angles of similar triangles are equal because the angles are determined by the shape and orientation of the triangles, rather than their size. If two triangles have the same shape, their corresponding angles will be equal regardless of their size or position.
This property is the basis for many geometric proofs and calculations involving similar triangles. It allows us to solve problems involving proportions, ratios, and scaling.
By knowing that the corresponding angles of similar triangles are equal, we can confidently apply the principles of similarity to find missing side lengths, determine unknown angles, or establish relationships between different parts of the triangles.
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The profit P for a company is P = 100xe–x/400, where is sales. Approximate the change and percent change in profit as sales increase from x = 115 to x = 120 units.
Therefore, the change in profit is approximately 0.60 and the percent change in profit is approximately 0.81%.
The given function is P = 100xe–x/400, where is sales.
The change in profit as sales increase from x = 115 to x = 120 units is to be determined.
To find the change in profit, we need to calculate the profit at x = 115 and x = 120 and then find the difference between them.
P(115) = 100 * 115e^(–115/400) ≈ 73.99
P(120) = 100 * 120e^(–120/400) ≈ 73.39
The change in profit = P(120) - P(115) ≈ 0.60
Approximate percent change in profit as sales increase from
x = 115 to x = 120 units = (change in profit / initial profit) × 100%≈ (0.60/73.99) × 100%≈ 0.81%.
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How do box plots work?
Answer:
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. ... In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
....................................
Answer:
40
Step-by-step explanation:
The picture below shows your answer as well.
Brainliest please!
savanna is sitting in a bucket of a farris wheen at the 3 oclock position. the ferris wheel has a radius 62 feet long. the ferris wheel begins moving clockwise. what is the measure of savanna's angle of roatation when she is 42 feet above the ferris wheel's horizontal diameter
Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.
Given by the question.
Let's first draw a diagram to visualize the situation.
*
* *
* * <-- Ferris wheel at 3 o'clock position
* *
* * <-- Highest point
*______________*______
62 ft
The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.
To find Savannah's angle of rotation, we can use the cosine function.
cos(theta) = adjacent / hypotenuse
In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.
cos(theta) = 20/62
To solve for theta, we need to take the inverse cosine of both sides.
theta = cos^-1(20/62)
Using a calculator, we get:
theta = 68.6 degrees
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Help!! Due tommorow at 7:00 am
A pet store has 80 geckos and anole lizards altogether.
The ratio of geckos to anole lizards is 1:3.
----------------------------------------------------------------------------------------------------------------------------
#1 What fraction of the reptiles are geckos?
----------------------------------------------------------------
#2 How many geckos does the pet store have?
Answer:
See below
Step-by-step explanation:
geckos are 1 out of (1+3) = 1/4 th
1/4th * 80 = 20 geckos
Need help! ILL GIVE BRAINLESIT!
Answer:
x= 3 so it should be 22 but thats not an option....
Step-by-step explanation:
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal
The slope of the line on the graph is equal to 4/3.
How to calculate or determine the slope of a line?In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
By substituting the given data points into the formula for the slope of a line, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 - 0)/(6 - 3)
Slope (m) = 4/3
Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 4/3.
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Add the additive inverse to the product of - 1 and - 4
The answer to this question is 0.
To add the additive inverse to the product of - 1 and -4, we must first find the product of -1 and -4. The product of -1 and -4 is 4. Now that we have found the product of -1 and -4, we can add the additive inverse to it. The additive inverse of 4 is -4, so we add -4 to 4. 4+ (-4) is equal to 0. Therefore, the answer to this question is 0.
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HELPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
1. +25
2. +14
3. -10
4. -3
5. +2
Step-by-step explanation:
I hope these help , please tell me if i got any incorrect or misunderstood!
14. Find the value of x, given that 4(3x + 2) = 44.
Answer:
x = 3
Step-by-step explanation:
Let us use BODMAS:
1) 4(3x + 2) = 44 → We have to multiply 4 by what's in the brackets
2) 12x + 8 = 44 → We have to isolate the 12x, therefore, we have to move 8 to the other side. And remember, when we move a positive number to the other side, it turns negative.
3) 12x = 44 - 8 → Subtract 8 from 44
4) 12x = 36 → Now, we need the x alone. Therefore, we divide 12 by both sides.
5) x = 3
Given that 4(3x+2) = 44 and that 12x+8 = 44, determine the value of x.
12x = 44 - 8
By applying the equation 12x = 36x = 36/12, we can deduce that x = 3.
Mia has $20 less than Brandi. Brandi has d dollars. Write a variable expression for the amount of money Mia has.
Answer: d-20
Step-by-step explanation:
if Mia has $20 less than Brandi, it means Brandi has d dollars, so we subtract Brandi 's money from $20.hope you understood.
growth charts we used an online growth chart to find percentiles for the height and weight of a 16-year- old girl who is 66 inches tall and weighs 118 pounds. according to the chart, this girl is at the 48th per- centile for weight and the 78th percentile for height. explain what these values mean in plain english.
The 48th percentile for weight means that the 16-year-old girl's weight falls within the range of weights that 48% of girls her age typically weigh.
The 78th percentile for height means that her height falls within the range of heights that 78% of girls her age typically have.
Percentiles are used in growth charts to compare an individual's height or weight to a reference population. The percentile values indicate the percentage of people in that population who have a lower measurement.
For example, a girl at the 48th percentile for weight means that 48% of girls her age weigh less than her, while 52% weigh more. Similarly, being at the 78th percentile for height means that 78% of girls her age are shorter than her, while 22% are taller.
In plain English, the girl's weight is considered to be in the middle range, as she is at the 48th percentile. However, her height is above average, as she is at the 78th percentile.
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Write a polynomial function that meets the stated condition.
The zeros are -2/3 and , and the constant term of the polynomial is -10.
The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.
How to get polynomials with zeroes?Let a, b, c, and d are the zeroes of the polynomial.
Then the polynomial is given as,
⇒ (x - a)(x - b)(x - c)(x - d)
The degree of the polynomial will be greater than or equal to the number of zeroes.
The zeros are -2/3. Then the factor of the polynomial is given as,
x = - 2/3
3x = - 2
3x + 2 = 0
The polynomial that has a factor (3x + 2) and the constant term negative 10 will be given as,
p(x) = 3x + 2 - 10
p(x) = 3x - 8
The polynomial that has a factor (3x + 2) and the constant term negative 10 will be p(x) = 3x - 8.
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if JA=9 AL=10 and CK=14 what is the length of JK
The length of JK in the triangle is 66.
How to make an inscribed circle in a triangle?There can be many different ways, one can include arc way, one can include angle bisector and perpendicular, and we can even try to discover some. But usually, (for the angle bisector and perpendiculars), we do the following:
Divide one of the angles in half.
Divide another angle in half.
The incenter, or point where they cross, is the inscribed circle's center.
Construct a perpendicular from the triangle's center point to one of its sides.
Draw an inscribed circle by placing the compass on the center point and adjusting the length to where the perpendicular crosses the triangle.
We are given that;
JA=9 AL=10 and CK=14
Now,
Adding them together
=10+9
=19.
CK is 14, so LK is 14.
Adding them together = 28.
The other side of the triangle is the same as JA plus AL, 19.
Hence, 19+19+28=66
Therefore, by the inscribed circle the answer will be 66
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all numbers with an absolute value greater than 3 but less than 7
All numbers with an absolute value greater than 3 but less than 7 is {4, 5, 6}.
What is an absolute value?The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.
We need to write all numbers with an absolute value greater than 3 but less than 7.
Absolute value greater than 3, that is
|x|>3
Absolute value less than 7, that is
|x|<7
Now, 3<|x|<7
3<x<7
Solution set ={4, 5, 6}
Therefore, all numbers with an absolute value greater than 3 but less than 7 is {4, 5, 6}.
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Solve for x.190°АBDC70°x =degrees
Let's determine the value of x.
\(\text{ x = }\frac{1}{2}(\text{ Arc AB + Arc CD)}\)\(\text{ = }\frac{1}{2}(190^{\circ}+70^{\circ})\)\(\text{ = }\frac{260^{\circ}}{2}\)\(\text{ x = 130}^{\circ}\)Therefore, the measure of x = 130 degrees.
Pls answer ASAP will mark brainliest if correct
Answer:
E. 88 inches squared
Step-by-step explanation:
First we will calculate the total area(including the area of the picture):
Step 1(Finding dimensions of frame): 10+2+2=14 and 8+2+2=12
Step 2(Finding total area): 12 * 14 = 168
Now we will find the area of the picture and subtract it from the total area to get the area of the frame:
A= 8*10= 80
168 -80 =88 inches squared
Hope this helps!
Answer:
E(88)
Step-by-step explanation:
first find the area of the photograph : 8*10=80 square inches
the length of the whole frame in including the photograph is:
8+2 inches+2 inches=12 inches
the width is 10+2+2=14 inches
the area of the whole frame=12+14=168 inches square
the area of the border=168-80=88 inches square
what is a common denominator for 1/6 and 3/5
Answer:
30
Step-by-step explanation:
Answer: 30
Hopes this helps
5. Which polynomial expresses the difference of these two polynomials?
(7k^6 + 6k – 10) - ( - 3k^6 - 7k+1)
Answer:
10k^6 + 13k - 11
Step-by-step explanation:
Write (7k^6 + 6k – 10) - ( - 3k^6 - 7k+1) in column format:
(7k^6 + 6k – 10)
- ( - 3k^6 - 7k+1)
Distribute the - sign throughout the second expression:
(7k^6 + 6k – 10)
( 3k^6 + 7k - 1)
-------------------------- Combine like terms
10k^6 + 13k - 11 This is the correct end result after the indicated
subtraction