Answer:
The total surface area of the figure is approximately 10.2 m²
Step-by-step explanation:
The dimensions of the solid are;
The shape of the solid = An half cylinder
The diameter of the cylinder, D = 1.6 m
The length of the cylinder, l = 2 m
The surface area of the curved part of the solid = π × D × l ÷ 2
Therefore;
The surface area of the curved part of the solid = π × (1.6 m) × 2 m/2 ≈ 5.03 m²
The area of the curved surface, V = 5.03 m²
The area of the rectangular top, A = 1.6 m × 2 m = 3.2 m²
The area surface of the semi-circular sides of the figure = 2 × π·D²/4 ÷ 2
Therefore;
The area surface of the semi-circular sides of the figure = 2 ×π × (1.6 m)²/4 ÷ 2 ≈ 2.01 m²
The total surface area of the figure, A = 5.03 m² + 3.2 m² + 2.01 m² = 10.24 m²
The total surface area of the figure ≈ 10.2 m² (rounding to 1 decimal place)
B
10.5
Amy scored a 80% on her
Spanish test. If she got 60
questions correct, what were
the total number of questions
on the test?
If you were to make $9.00 per hour and worked 36 hours over the past
two weeks
Answer: I think its 324
Step-by-step explanation: $9.00 X 36 = 324
19. Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north
of Dave. To the nearest mile, how far is it from Sally's house to Dave's
house.
Jenny
O A) 2.65 mi.
O B) 5 mi
O C) 7 mi
D) 25 mi
The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, Sally lives 3 miles due west of Jenny, and Jenny lives 4 miles due north of Dave.
Distance is
c²=3²+4²
c²=9+16
c²=25
c=5 miles
The distance of from Sally's house to Dave's house is 5 miles. Therefore, option B is the correct answer.
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3T= _______lbs
8,000 lbs
6,000 lbs
4,000 lbs
2,000 lbs
Answer:
3 t = 6000 lbStep-by-step explanation:
Hope it is helpful...
Mutiple choice (needed 20 characters)
The cubic crystal company has a new crystal cube they want to sell. The packaging manager insists that the cubes be arranged to form a rectangular prism and that the package be designed to hold the crystal cubes exactly, with no leftover packaging. Each crystal cube measures 1 in x 1 in x 1 in. There are 24 crystal cubes to be sold in a box. What are the dimensions of the possible box designs in inches?
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]height \ \ \ \ \ \ \ Width \ \ \ \ \ \ \ Length\\\\[/tex]
[tex]1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\\\\2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\[/tex]
Answer:
Step-by-step explanation:
Height width length
Type your answer below:
Height Width Length
1 in 1in 24in
2in 12in
1 in 3in 8in
4in 6in
1in 6in
2in 4 in
1 in 3in
2in
2in
Grocery wants to build a warehouse that is equidistant from its three stores L, M, and N. Which construction correctly finds the best location of the warehouse?
The construction correctly finds the best location of the warehouse is shown in option C (Construction Y because point E is the circumcentre of triangle LMN and due to its exact equidistant location from the three stores at L, M, and N, Point E is the ideal location for the warehouse.)
What is circumcentre?The location that is equally spaced from the three vertices and where the perpendicular bisectors of a triangle's sides intersect.
Calculation for distance of the three stores from warehouse:
Precisely one circle crosses through all three, which are all on the same line. Finding the centre of the circle that goes through all three of the points is equivalent to finding the point that is equally distant from each of the three points (since all points on a circle are equidistant from the centre).
L, M, and N are our points. To create the triangle, draw the lines LM, LN, and MN. The junction of any two of the lines' perpendicular bisectors, point E, will serve as the circle's centre.
Due to the fact that E is the triangle's LMN's circumcenter, as demonstrated in Construction Y.
Therefore, given that it is precisely equidistant between the three stores at L, M, and N, this is the optimal location for the warehouse.
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Answer:
the answer is C.
Step-by-step explanation:
construction X, because point E is the circumcenter of angle LMN.
What is the mean: 15, 12, 9, 7, 4, 25, 5
Dr James ordered 56 pizzas for the teachers. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese , and the rest were veggie pizzas. How many of the slices were veggie .
Answer:
21
Step-by-step explanation:
Dr James ordered 56 pizzas for the teachers.
Of the pizzas ordered, 2/7 of them were pepperoni,
Number that were pepperoni = 2/7 × 56 pizzas
= 16 pizzas were pepperoni
19 were cheese , and the rest were veggie pizzas.
How many of the slices were veggie?
The number of veggie slices is calculated as:
Veggie slices = Total number of pizzas - ( Number of Pepperoni + Number of Cheese)
= 56 - ( 16 + 19)
= 56 - 35
= 21
The number of veggies is 21
Kurt has c comic books. Sandra has 18 times as many comic books as Kurt. Write an expression that shows how many comic books Sandra has.
Answer:Sandra = 18c
Step-by-step explanation:
Given that Kurt has c comic books
And
Sandra has 18 times as many comic books as Kurt.
We can say the expression to show how many comic books Sandra has will be
Kurt = c
Sandra = 18c
What is the solution of the system?
y = 5x
x + y = 12
Answer:
x = 3
Step-by-step explanation:
y = 5x
x + y = 12
x + 5x = 12 (substitute 5x in the place of y)
6x = 12
x = 12/6
x = 3
Answer:
Step-by-step explanation:
y=5x
+5(y)=(12-x)+5 which distributing is +5y= +60-5x
y=5x
+5y=+60-5x
6y=60
y=10
10=5x
x=2
CAN SOMEONE PLEASE HELP ME WITH THESE 2 QUESTIONS??
Factor polynomial by its greatest common monomial factor
Four friends order pizza from a take away.
The amount of pizza each person eats is shown as a fraction below.
Matthew eats 0.8 of a pizza
3
Lily eats 1/4 of a pizza
George eats 77 % of a pizza
Sam eats 82% of a pizza
Which person eats the most pizza?
Answer:
Sam
Step-by-step explanation:
Mathew: 0.8 = 80%
Lily: 1/4 = 25%
George: 77%
Sam: 82%
Which box-and-whisker plot represents this data: 6,9, 13, 13, 18, 20, 24, 25, 26, 28, 30, 30?
Answer:
First option seems to b correct..
Step-by-step explanation:
Given data set shows following ...
Sample size: 12
Median: 22
Minimum: 6
Maximum: 30
First quartile: 13
Third quartile: 27.5
Interquartile Range: 14.5
Outliers: none
Basically box and whisker represents 5 things.In case of box and whisker
The most left point of left side represents the Stating point of data smallest value
The most right point of right side represents the ending point of data largest value of data
left side of box respresnts the Q1 lower quartile while right side represnts
the upper quartile Q3 ..
And there is line somewhere in box that represents the medianof data set..
The box and whisker plot which gives the correct representation of the dataset given is the plot A.
Given the data set : 10, 5, 8, 14, 21, 7, 13, 17, 17
To obtain box and whisker plot of the distribution, we could use technology such as excel or a box plot maker :
Using a boxplot maker, the following statistical measures, which is the five number summary of the dataset is given below :
Median: 22Minimum: 6Maximum: 30First quartile: 13Third quartile: 27.5Interquartile Range: 14.5Outliers: noneTherefore, since the statistical values of the data corresponds to the values depicted in the plot A, then it is the right choice.
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Tony is installing a rectangular pool in the backyard. The pool
needs to have a length of 10 feet more than the width. The
backyard is a square shape with each of the sides measuring 5
feet more than 3 times the width of the pool. Write an
expression for the area surrounding the pool after the pool is
installed. Show your work. Enter the correct expression and
work in the box.
Pls I need helppppppp
Answer:
Abackyard = (3w + 5)2
Apool = w(w + 10)
Asurround = (3w + 5)2 - w(w + 10)
A=8w2+20w+25
The expression for the area surrounding the pool after the pool is
installed is (3w + 5)² - w(w + 10).
What is Area?The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. The area of a plane figure is the space enclosed by its boundary. The number of unit squares that cover the surface of a closed form is the figure's area.
We have,
The pool needs to have a length of 10 feet more than the width.
Then, the area of pool is
= w(w + 10)
and, The backyard have sides measuring 5 feet more than 3 times the width of the pool.
Then, area of backyard
= (3w + 5)²
Now, the area surrounding the pool after the pool is
= (3w + 5)² - w(w + 10)
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Dividend:
2x3 + 11x2 + 18x + 9
-6x3 - 15x - 9
2x2 + 5x + 3
Quotient:
2x4 + 11x3 + 18x + 9
2x3 + 5x2 + 3x
2x2 + 5x + 3
Answer:
Divisor-D Dividend- A Quotient-C
Step-by-step explanation:
It is to be noted that in the subtopic of Polynomials, a dividend is the factor or element being divided while the element that results from the division of one number using another is called the quotient.
What is a Divisor?In mathematics, a divisor is a factor or number that divides another leaving no remainder.
That is Dividend/Divisor = Quotient. It is important to note that in Polynomials, there is usually more than one similarity as far as the terms are concerned.
The full question is unavailable hence the general answer.
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Bonnie deposits $70.00 into a new savings account.
• The account earns 4.5% simple interest per year.
• No money is added or removed from the savings account for 3 years.
What is the total amount of money in her savings account at the end of the 3 years?
A. $9.45
B. $79.45
C. $94.50
D. $164.50
Answer:
B. $79.45
Step-by-step explanation:
The equation for simple interest is I = PRT, where I = interest earned, P = principal/amount invested, R = rate as a decimal, and T = time in years.
For this example, we'll calculate the interest earned, then add to the principal to get the total amount of money in her account.
I = (70)(0.045)(3)
I = 9.45
70 + 9.45 = $79.45
Please let me know if you have questions.
HELP WITH QUESTION 1 PLEASE! I’ll give you brilliance
Answer:
Step-by-step explanation:
A is 10
B is 13
C is [tex]\sqrt{43.65}[/tex]
D is [tex]\sqrt{74}[/tex]
Solve for x in the diagram below.
120°
3xº
21
X =
Answer:
x = 40
Step-by-step explanation:
[tex]3x \degree = 120 \degree \\(vertical \: \angle s) \\ \\ x \degree = \frac{120 \degree}{3} \\ \\ x \degree = 40 \degree\\ \\ x = 40[/tex]
How far from the Centre of a circle of
radius 3 Sem's a chord
Chord 2.sem
long
Answer:
Step-by-step explanation:
length of semichord=2/1=1 cm
[tex]d=\sqrt{3^2-1^2} =\sqrt{8} =2\sqrt{2}[/tex]
or d≈2.83
Function f is defined by the equation f (x) = 10x + 2. What is the value of f (2)?
Answer:
f(2) = 22
Step-by-step explanation:
To find f(#), plug the number into each x of the equation.
f(x) = 10x + 2
f(2) = 10(2) + 2
Simplify the parentheses by multiplying.
f(2) = 20 + 2
Add.
f(2) = 22
Hope this helps!
There are 14 penguins on the rocks. Half as many are swimming. How many are in the water? How many in all?
Answer:
7 penguins are in the water.
21 penguins in all.
Step-by-step explanation:
14 penguins on the rocks.
Half of them equals 7 are in the water swimming.
7 + 14 = 21
7 penguins are in the water.
21 penguins in all.
The number of penguins in water = 7 penguins
The total number of penguins = 21 penguins
Word problems in mathematics involve a crucial understanding of solving real-life cases with the use of arithmetic operations.
From the information given:
There are 14 penguins on the rock.Half as many are swimming implies that: 7 of them are swimmingThus, the number of penguins in water = 7 penguins
The total number of penguins overall = penguins in water + penguins on the rock
The total number of penguins overall = 7 + 14
The total number of penguins overall = 21 penguins
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Solve for x.
−12x+13>35
is x greater than or less then the answer
Answer: sorry about that your answer would come out to be -8/15
which i believe is less than x
Step-by-step explanation:
Answer:
x < -11/6
Step-by-step explanation:
and boom
The cost of highlighters is proportional to the number of highlighters purchased. If a 4
-pack of highlighters costs $2.40 what is the cost per highlighter?
Answer:
The cost per highlighter is $0.60
Step-by-step explanation:
I know this because to find the cost of each highlighter you would divide $2.40 by 4 so the answer would be $0.60.
Please give brainliest I'm trying to level up
Answer:
$0.60
Step-by-step explanation:
$2.40/4= 0.6 = $0.60
please I need someone to help my assignment
Answer: x = 10
Step-by-step explanation:
The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:
A^2 + B^2 = H^2
In this case, we have:
A = (x - 4)
B = (x - 2)
H = x
Then we have the equation:
(x - 4)^2 + (x - 2)^2 = x^2
Now we need to solve this for x, first let's simplify it.
(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2
2*x^2 - 12*x + 20 = x^2
2*x^2 - 12*x + 20 - x^2 = 0
x^2 - 12*x + 20 = 0
The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
Then the solutions for our equation are:
[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]
Then the two possible solutions are:
x = (12 - 8)/2 = 4/2 = 2
Notice that if x = 2, then the length of the catheti will be:
A = 2 - 4 = -2
B = 2 - 2 = 0
This has no sense, so we can discard this solution.
The other solution for x is:
x = (12 + 8)/2 = 10
x = 10
Then:
H = 10
A = 10 - 4 = 6
B = 10 - 2 = 8
This solution makes sense, then x = 10.
Find the Equation of the lines.
Understanding Intercepts
What is the x-value of the y-intercept? How do you
know?
Answer:
0
Step-by-step explanation:
The x-value in the y-intercept must be zero. This is because the y-intercept is where a line or function intersects with the y-axis. All points on the y-axis have an x-value of 0. Therefore, all y-intercepts will have an x-value of 0 and look like (0,b).
Answer: x and y intercepts are the points in which your line crossing x axcis and y axcis . For the streight line given by linear function y=ax+b we find coordinates of the point A represent x intercept using value for the second coordinate y=0 then return this value to linear function
0=ax+b subtract b from both sides
-b -b
-b=ax divide by a which id different then 0
-b/a=x
X-itercept is a point A(-b/a, 0)
For y intercept point B (x.y) our first coordinate x=0, return this value to the linear function y=ax+b
y=a*0+b
Y=0+b
y=b
y intercept is a point B(0,b)
For the special types of linear equations:
1. When a=0 liner function is y=b we have parallel lines with x axcise, crosing only y axcise and there are only y intercept B(0,b)
2. When a=0 and b=0 linear function is y=0, which is equation of the x axcise. In this case y intercept is the orgin point O(0,0) and x-intercepts is are all points of the x axcise A(x,0); x can be any real number. This means infinite many x intercept points.
3. When a is not 0 and b=0 we have x intercept point A(0,0) and y intercept point B(0,0).
4. For the linear equation x=c, c is constant value, we have parallel line with y axcise crosing x axcise at the point A(c,0) and there is no y intersect because there are parallel lines
Step-by-step explanation: Example y=2x+6. For x intercept y=0, return to linear function and in the place oy poot its value
0=2x+6 subtract 6
-6 -6
-6=2x divide by 2
-3=x
X intercept points is a point A(-3,0)
For the y intercept point B(x,y) x=0, return to linear function and in the place of x poot its value
y=2x+6
y=2*0+6
y=0+6
y=6
x intercept is a point B(0,6).
Line ST is perpendicular to line PR.
What is the measure of ZSQU?
90°
32°
148°
58°
Given:
Line ST is perpendicular to line PR.
[tex]m\angle PQV=32^\circ[/tex]
To find:
The measure of angle SQU.
Solution:
Line ST is perpendicular to line PR.
[tex]m\angle SQR=90^\circ[/tex]
If two lines intersect each other, then the vertically opposite angles are equal.
[tex]m\angle UQR=m\angle PQV[/tex] (Vertically opposite angle)
[tex]m\angle UQR=32^\circ[/tex]
Now,
[tex]m\angle SQR=m\angle SQU+m\angle UQR[/tex]
[tex]90^\circ=m\angle SQU+32^\circ[/tex]
[tex]90^\circ-32^\circ=m\angle SQU[/tex]
[tex]58^\circ=m\angle SQU[/tex]
Therefore, the correct option is D.
I need help this has been missing for about a month I'll give brain list
Answer: Combination 2,3,4 (going down)
Step-by-step explanation:
These are the equations
1. 3.97(5)+5.25=25.1 this is (10 cents over cant buy)
2. 2.75(7)+2.4(2)= 24.05 (good)
3. 5.25(2)+2.4(6)= 24.9 (good)
4. 3.97(3)+2.75(4)= 22.91 (good)
5. 5.25(2)+2.75(6)= 27 (two dollars over cant buy)