Answers
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
Related Questions
What type of stock receives an equal part of the profits on each share to be distributed after all other obligations of a company have been satisfied?
Answers
Solve the system of equations.
11x+4y=-46
7x-4y=10
Answers
7x-4y=10
---------------add
18x = -36
x = -2
7x-4y=10
7(-2)-4y=10
-4x = 24
y = - 6
answer
(-2,-6)
The solution is x = -2 and y = -6.
What are linear equations?First-order equations are linear equations. The coordinate system defines the linear equations for lines. A linear equation in one variable is one in which there is only one variable and the equation has a homogeneous variable of degree 1. There can be more than one variable in a linear equation. When there are two variables in a linear equation, it is referred to as a "linear equation with two variables" and so on.
Given equations 11x + 4y = -46
and 7x - 4y = 10
add both equations
11x + 4y + 7x - 4y = -46 + 10
18x = -36
x = -36/18
x = -2
substitute the value of x in equation
11x + 4y = -46
11(-2) + 4y = -46
4y = -46 + 22
4y = -24
y = -6
Hence the solution for given equations is x = -2 and y = -6.
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Point D represents a negative number. Which point represents the opposite of that number?
Answers
The negative number - 7 and its opposite number 7 are represented on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
Point D represents a negative number which is -7.
We know that if the number is 'a', then the opposite number of the number 'a' will be '-a'.
Then the point representing the opposite of that number will be given as,
⇒ -(-7)
⇒ 7
The negative number - 7 and its opposite number 7 are represented on the number line.
The diagram is given below.
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The complete question is given below.
Point D represents a negative number which is - 7. Which point represents the opposite of that number?
True or false, the product of two rational numbers is never equal to 1.
Answers
The product of two rational numbers can indeed be equal to 1. For example, 2/3 (two-thirds) and 3/2 (three-halves) are both rational numbers, and their product is 1.
Explanation:The product of two rational numbers can indeed equal to 1. This is a False statement. For example, if we take 2/3 (two-thirds) and 3/2 (three-halves), both are rational numbers because they can be expressed as fractions, i.e., ratios of two integers. In this case, if we multiply these two numbers together, i.e., (2/3)*(3/2), we get 6/6, which equals 1. Therefore, it's possible that the product of two rational numbers can equal 1, hence proving the provided statement to be false.
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Stuart is buying a pair of jeans that regularly cost $40. They are on sale for 20% off. If the tax rate is 8%,what is the sale price of the jeans including tax?
Answers
Pls solve 7x-4(6-x)+12 and show steps pls.
Answers
7× - 24 + 4x + 12
Combine like terms
7x + 4x -24 + 12
11x - 12
In a casino, the chance of winning a certain game is 14.5%. If you play the game 20 times, what’s your best estimate for the number of times you would win? Round off your answer to the nearest whole number.
Answers
w=20(14.5/100)
w=20(0.145)
w=2.9
w≈3
So you would expect to win 3 times out of 20 attempts (rounded to the nearest whole number of wins)
Simplify six to the -3rd power over six to the fifth power
Answers
Of the 240 shirts on a rack, 40 percent are size medium. How many shirts on the rack are size medium?
Answers
First, let’s check for the given:
Shirts on the rack = 240
Medium size shirts = 40% of 240
With the following given, we can now solve for the total
number of shirts on the rack that are size medium.
So, in order to solve for the problem, we multiply 40% to 240:
The decimal equivalent of 40% is 0.4.
240 shirts * .4 = 96 shirts
Therefore, out of 240 shirts on the rack, there are 96 shirts on the rack that are size medium.
To add, the number or ratio that represents a fraction of 100 is called a percentage.
A quadrilateral has vertices A(3, 5), B(2, 0), C(7, 0), and D(8, 5). Which statement about the quadrilateral is true?
Answers
517.21 km what is the nearest 10km?
Answers
Final answer: 520 km
What is the value of x/3y , when x = 18 and y = 3?
3/18
2
3
6
Answers
x = 18
y = 3
x/3y becomes 18/3(3) = 18/9 = 2
-cz+6z=tz+83 solve for z
Answers
6z - cz - tz = 83
z (6 - c - t) = 83
z = 83 / (6 - c - t)
hope that helps
Answer:
The value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]-cz+6z=tz+83[/tex]
Subtract tz from both the sides.
[tex]-cz+6z-tz=tz-tz+83[/tex]
[tex]-cz+6z-tz=83[/tex]
Take z common.
[tex]z(-c+6-t)=83[/tex]
[tex]z(6-c-t)=83[/tex]
Divide 6-c-t from both the sides.
[tex]\frac{z(6-c-t)}{6-c-t}=\frac{83}{6-c-t}[/tex]
[tex]z=\frac{83}{6-c-t}[/tex]
Thus, the value of the equation for z is [tex]z=\frac{83}{6-c-t}[/tex].
A bicycle wheel makes 5 revolutions. Determine how far the bicycle travels in feet. The diameter of the wheel is 32in.
Answers
In order to avoid heavy traffic, Antonio can drive home after working less than 7 hours (h < 7) or after working more than 9 hours (h >9). How can these inequalities be written as one statement?
7 < h < 9
7 > h > 9
h < 7 or h > 9
h > 7 or h < 9
Answers
Answer:
Option C is correct.
The inequalities can be written as one statement as : h<7 or h>9
Step-by-step explanation:
Let h be the working hours
Antonio can drive home after working less than 7 hours.
Less than symbol represented by ('<')
then, we have h<7
Antonio after working more than 9 hours.
More than symbol represented by ('>').
then, we have h>9
Since, we use inequalities when there is a range of possible answers for a given situation
Now, as per the given statement,
the inequalities can be written as one statement as; h<7 or h>9
I WILL GIVE BRAINLIEST
Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 and 35.42
SET B: 781 and 78.1
SET C: 1.2 and 01.20
Answers
Set B: Is the second number divided by 10
Set C: Is the same number
Write 2 expressions that represent the areas of 4 triangles
Answers
PLease Answer!
The Mali Empire of West Africa was known far and wide for the great wealth of its rulers. The empire fell in the year 1610.
Let x represent any year. Write an inequality in terms of x and 1610 that is true only for values of x that represent years after the year the Mali Empire fell.
Answers
The year 1610 is not inclusive as this is the year when the Empire fell
the answer is x>1610
Please help!! I attached an image, will give most brainliest
Answers
The stem is the value in the left and the leaf is the values listed on the right side of the table. In this case, it represents the tens and ones place.
The smallest of those values are 2 which is answer choice F.
Find the area of the composite figure.Use 3.14 for pi.
Answers
area for the triangle section is 1/2 x b x h: 1/2 x 16 x 10 = 80 square m
area for half circle = 1/2 x 3.14 x 8^2 = 100.48 square m
100.48 + 80 = 180.48 square meters
how do you reduce the fraction of 28/49
Answers
reduce by 7
28/7 4
---- = ----
49/7 7
your answer will be: 4/7
hope this helps :D
28/7 4
---- = ----
49/7 7
your answer will be: 4/7
Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
How much money does Sarah have left?
Write your answer as an expression.
Answers
You could figure out the equation if the 3 were M and M had a number but this is unsolvable. SORRY
m=11
each shirt is $11
Which is the general form of the equation of the circle shown? x2 + y2 + 4x – 2y – 4 = 0 x2 + y2 + 4x – 2y + 2 = 0 x2 + y² – 4x + 2y – 4 = 0 x2 + y² – 4x + 2y + 2 = 0
Answers
For the second picture, the center is (-2,1) and the radius is square root of 3.
For the third picture, the center is (2,-1) and the radius is 3.
For the last picture, the center is (2,-1) and the radius is square root of 3.
Answer:
THE ANSWER IS A
Step-by-step explanation:
Solve 2a 2 - 3a - 2 = 0
{-1/2, 2}
{1/2, -2}
{}
Answers
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)
Find zeros
a-2=0
a=2
2a+1=0
2a=-1
a=-1/2
Final answer: {-1/2, 2}
Daniel and Sofia both solve this system of equations: y = -1.5x + 5.7 y = 0.5x + 0.3 Daniel's solution is (1.1, 2.4). Sofia's solution is (2.7, 1.65). They graph the equations to check their work. Based on the graph, whose solution is more likely to be correct?Daniel is more likely to be correct. The x-coordinate of the intersection is between 1 and 2 and the y-coordinate of the intersection is between 2 and 3. Sofia is more likely to be correct. The x-coordinate of the intersection is between 2 and 3 and the y-coordinate of the intersection is between 1 and 2. or niether
Answers
y = 0.5x + 0.3
-1.5x + 5.7 = 0.5x + 0.3
-1.5x - 0.5x = 0.3 - 5.7
-2x = - 5.4
x = -5.4/-2
x = 2.7
y = 0.5x + 0.3
y = 0.5(2.7) + 0.3
y = 1.35 + 0.3
y = 1.65
solution is (2.7, 1.65)
Sophia is more likely to be correct because the x coordinate is between 2 and 3 and the y coordinate is in between 1 and 2
Answer:
Sofia is more likely to be correct
=)
Step-by-step explanation:
Suppose you roll two standard number cubes once. Find the probability. P(7 or even)
Answers
To roll a seven you could have (1,6) (6,1) (2,5) (5,2) (3,4) (4,3)
6 different ways so 6/36 reduces to 1/6 way of getting a 7
For getting an even number as sum, we can have (1,1) or (1.3) or (1,5) or (2,2) or (2,4) or (2,6) or (3,1) or (3,3) or (3,5) or (4,2) or (4,4) or (4,6) or (5,1) or (5,3) or (5,5) or (6,2) or (6,4) or (6,6) 18 ways, probability is 18/36 reduces to ½
So for either one you now have 1/6 + 1/2 = 6+2/12 = 8/12 reduced to 2/3
A triangle can have sides whose lengths are 9cm, 16cm, and
Answers
assuming that the lengths are not the hypotenuse, then we can square the two numbers.
81 + 256 = c^2
337 = c^2
√337 = c
to go into decimals, the answer would be: c = 18.358
____________________________
This would refer to a right triangle;
a² + b² = c² ;
In which : 3² + 4² = 5² ;
or: 9 + 16 = 25 .
_____________________________________
A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.
Answers
S/H=2rs^3/rh^3
S/H=(2*3^3)/6^3
S/H=54/216
S/H=1/4
So the volume of the hemisphere is 4 time the volume of the sphere.
V=4/3 π r³
V=4/3 π 3³ = 113.097335529
Volume of a Hemisphere:
V=½(4/3 π r³)
V=½(4/3 π 6³) = 452.389342117
113.097335529 to 452.389342117
Pretty much 1/4 right on the nuts (0.24999999999944737866981989309472)
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone is what shape?
Answers
Answer:
The answer is a triangle.
Step-by-step explanation:
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.
A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.
For better visualization, you can also see the attached image.
A cross section of a cone taken perpendicular to the base and intersecting the apex of the cone - The shape will be a triangle.
The answer is a triangle.
A cross-section of a cone taken perpendicular to the base and intersecting the apex of the cone is a triangle.
When you cut a cone perpendicular to its base and through its apex, the resulting cross-section will be a triangle. The shape of the cross-section depends on the angle at which you make the cut. If the cut is parallel to one of the sides of the cone, the cross-section will be a right-angled triangle.
If the cut is made at an angle to the sides of the cone, the cross-section will be an isosceles or scalene triangle.
In any case, the cross-section will always be a triangular shape with its vertices at the apex of the cone and the points where the cut intersects the base of the cone.
A cone has one circular base with two slant heights that are attached at the vertex. When it is cut in such a way that the cross-section is perpendicular to the base and it passes through the vertex or apex, then a triangle is formed.
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please help! I have a deadline tonight!!!!
Answers
y = 3/2x - 2
or
y = 1.5x - 2
To graph it, make a point at (0, -2) (the y-intercept).
Each unit to the right, increase the y axis by 1.5
Each unit to the left, decrease the y axis by 1.5