Answer: D
Step-by-step explanation: To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure. To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape.
Dividing the number of sides by the area of one of the composite figure's sides. and adding the areas of all the forms or faces that comprise the composite figure helps to find the area of a two-dimensional composite figure. Options A and B are correct.
What is surface area?The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
The area of a two-dimensional composite figure or the surface area of a three-dimensional composite figure may be calculated by;
Dividing the number of sides by the area of one of the composite figure's sides. and add the areas of all the forms or faces that comprise the composite figure.
Hence, options A and B are correct.
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Find the volume of the composite figure. Round to the nearest tenth. The base of each pyramid is a square with a side length of 5 inches and each pyramid has a height of 9 inches.
Answer:
[tex]75[/tex] cubic inches
Step-by-step explanation:
Given:
The base of each pyramid is a square with a side length of 5 inches
Height of of pyramid is 9 inches.
To find: volume of the pyramid
Solution:
As the base of each pyramid is a square with a side length of 5 inches,
length of the pyramid (l) = base of the pyramid (b) = 5 inches
Height of of pyramid (h) = 9 inches
Volume of the pyramid [tex](V)=\frac{lbh}{3}[/tex]
On putting values of l, b and h, we get
[tex]V=\frac{5\times 5\times 9}{3}=75[/tex] cubic inches
Thomas wrote the expanded form of (Five-halves) Superscript 4 below.
Five-halves + five-halves + five-halves + five-halves
Which statement is true?
Thomas wrote the expanded form correctly.
Thomas should have multiplied 5 times 4.
Thomas should have multiplied the base by itself four times.
Thomas should have multiplied the exponent by 5.
The answer is Thomas should have multiplied the base by itself four times
Answer:
c
Step-by-step explanation:
i did it on my test and got it correct
Please answer this question
Answer:
A is closer to 1/2
Step-by-step explanation:
2/15 + 1/3 = ?
Make the denominator equal
2/15 + 5/15 = 7/ 15
6/7 - 1/3
MAke the denominator equal
18/21 - 7/21 = 11/21
MAke the denominator equal
147/315
165/315
Exactly half is 157.5 / 315
165 - 157.5 = 7.5
157.5 - 147 = 10.25
That means that A is closer to half
Terry is going to make some concrete mix. He needs to mix
cement, sand and gravel in the ratio 2 . 3 : 5 by weight. He
estimates he needs to make 220 kg of concrete mix.
Terry has:
• 50 kg of cement
• 90 kg of sand
• 100 kg of gravel
Does Terry have enough cement, sand and gravel to make the
concrete mix?
Answer:
No
Step-by-step explanation:
Sum the parts of the ratio, 2 + 3 + 5 = 10 parts
Divide 220 Kg by 10 to find the value of one part of the ratio.
220 Kg ÷ 10 = 22 Kg ← value of 1 part of the ratio, thus
2 parts = 2 × 22 = 44 Kg ← quantity of cement needed
3 parts = 3 × 22 = 66 Kg ← quantity of sand needed
5 parts = 5 × 22 = 110 Kg ← quantity of gravel needed
He has the required amounts of cement and sand but not of gravel.
Thus he cannot mix the concrete
Terry requires 44 kg of cement, 66 kg of sand, and 110 kg of gravel for the concrete mix. He has enough cement and sand but is short of gravel by 10 kg, so he cannot make the complete mix with the materials he currently has.
Explanation:First, we calculate the total parts of the mix by adding the ratio numbers: 2 (cement) + 3 (sand) + 5 (gravel) = 10 parts in total. Next, we find out how much each part weighs: 220 kg ÷ 10 parts = 22 kg per part. Then we multiply the number of parts for each material by the weight per part: Cement needed = 2 parts × 22 kg/part = 44 kg, Sand needed = 3 parts × 22 kg/part = 66 kg, Gravel needed = 5 parts × 22 kg/part = 110 kg. Now, let's compare these requirements with what Terry has:
Cement: needs 44 kg, has 50 kg — enoughSand: needs 66 kg, has 90 kg — enoughGravel: needs 110 kg, has 100 kg — not enoughIn conclusion, Terry does have enough cement and sand, but he does not have enough gravel for the mix.
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Write the sentence as an equation. The product of r and 338 plus 97 is the same as r.
Answer:
Step-by-step explanation:
To write this sentence as equation
We get
r×338+97=r
338r+97=r
To solve further
r-338r=97
-337r=97
r=-0.2878
The given sentence can be written as the equation: 338r + 97 = r. By following the steps to identify the product, add 97, and set the expression equal to r, we achieve the correct equation. This equation can now be solved for r.
To translate the sentence into an equation, follow these steps:
Identify the key components: product of r and 338 can be written as 338r.Add 97 to this product, which gives 338r + 97.This expression is the same as r, yielding 338r + 97 = r.Therefore, the equation representing the given sentence is 338r + 97 = r.
The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?
The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.
Answer:
2 pairs
Step-by-step explanation:
Answer:
Step-by-step explanation:
d (The pyramid has 2 pairs of congruent faces.)
calculate the shaded area circle a radius=6.5 circle b radius 2.3
Answer:
shaded part = 116cm² (3sf)
Step-by-step explanation:
area of larger circle:
a = πr²
= π x 6.5cm²
= 132.7322896cm²
area of smaller circle:
a = πr²
= π x 2.3cm²
= 16.61902514cm²
132.7322896 - 16.61902514 = 116.1132645
shaded part = 116cm² (3sf)
Hope this helps. :)
The shaded part of the circle is 116cm² (3sf)
How to find the shaded region?
To find a shaded region, First, take the area of the larger circle and the area of the smaller circle. Then subtract to find the shaded region.
Area of a larger circle:
a = πr²
= π x 6.5cm²
= 132.7322896cm²
Area of a smaller circle:
a = πr²
= π x 2.3cm²
= 16.61902514cm²
= 132.7322896 - 16.61902514 = 116.1132645
Shaded part = 116cm²
The area of a circle is pi times the radius squared (A = π r²).
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An album sells for $14.00 through an online music service. If the album is 30% off, and sales tax is 6%, what is the total price of the album including tax?
Answer:
10.39 dollars.
Step-by-step explanation:
14 times 0.7 equals 9.8 dollars. Then, multiply 9.8 with 1.06 and you get 10.388 or 10.39 Hope this helps!
The table shows the cost of a game from 2000 to 2004, which has been increasing in a quadratic fashion. Let x = 0 in 2000, and find the best-fit quadratic equation. What will game cost in 2010? A) $417 Eliminate B) $746 C) $960 D) $1,586
Answer: Here we are going to use the equation y=15x2+3x+56.
x=0 in 2,000 so x=10 in 2010.
Substitute 10 for x.
After this we have the answer: D. $1,586
Hope this helps
The radius of a circle is 21 in. What is the precise distance around the circle?
Answer:
IT IS REALLY 31
Step-by-step explanation:
Given that the measure of ∠x is 73°, and the measure of ∠y is 40°, find the measure of ∠z.
Hi,
In a triangle, all angles must add up to 180*.
73 + 40 = 113
180 - 113 = 67
Thus, the measure of Z is equal to 67
An experiment consists of randomly drawing a cube from a bag containing three red and two blue cubes What is the sample space of this experiment
Answer:
{Red,Blue}
Step-by-step explanation:
Since the experiment consists of randomly drawing just a cube from a bag containing three red and two blue cubes, the outcome could be either a red or blue cube. Therefore the sample space is:
{Red,Blue}
What is the difference in LATERAL surface area of the prisms shown?
Answer:
.
Step-by-step explanation:
.
What information did Sebastian use in his deduction?
O
The table does not show a vertical asymptote.
The table shows two y-intercepts and it changes from increasing to decreasing,
The table shows one x-intercept and one y-intercept.
The table shows two x-intercepts and it changes from increasing to decreasing.
The correct option is D.
Sebastian use in his deduction the table shows two x-intercepts and it changes from increasing to decreasing.
CONCULSION-The curve is definitely not logarithmic because it has two x-intercepts.The curve will cut the x-axis at two points and hence, it will have two x-intercepts.There is no sign of any y-intercept based on the data available in the table.
Therefore, the conclusion is made using the information "the table shows two x-intercepts and it changes from increasing to decreasing".
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Sebastian used the information 'The table shows two x-intercepts and it changes from increasing to decreasing' for his deduction. This could suggest that he might be dealing with a quadratics or an inverted expressive function.
Explanation:Based on the choices provided, it appears that Sebastian used the information that 'The table shows two x-intercepts and it changes from increasing to decreasing' in his deduction. An x-intercept in a function table happens where the y-value equals zero. Two x-intercepts imply that there are two points where the function crosses the x-axis. A function's pattern shifting from an increasing pattern to a decreasing pattern is indicative of a maximum point. This suggests that Sebastian may be working with a quadratics or an inverted expressional function.
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In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
Answer:
18
Step-by-step explanation:
Find the members of set A.
A)
(1,4,6)
{9,8,5)
9
{1,46,3,7)
D)
(1,3,4,5,6,7,8,9)
Answer is c {1,4,6,3,7}
Answer:
C. [1,4,6,3,7]
Step-by-step explanation:
Answer:
The answer is C
Find the volume of the sphere.
Either enter an exact answer in terms of r or use
for T.
unite 3
Answer:
[tex]\frac{1}{48} \pi[/tex] units cubed
Step-by-step explanation:
The volume of a sphere is: [tex]\frac{4}{3}\pi r^{3}[/tex]
We know the radius r = 1/4, so we just plug this into the equation:
(4/3)*[tex]\pi[/tex]*(1/4)^3 = (4/3)*[tex]\pi[/tex]*(1/64) = [tex]\frac{1}{48} \pi[/tex]
So, the answer is [tex]\frac{1}{48} \pi[/tex] units cubed.
Answer:
Step-by-step explanation:
[tex]volume=\frac{4}{3} \pi r^3\\=\frac{4}{3}\pi (\frac{1}{4} )^3\\=\frac{\pi }{48} ~units^3[/tex]
I need help with this graph.
Please halp me with both!
Answer:
See below
Step-by-step explanation:
I see the term 2x being repeated 5 times, and repeated addition is multiplication, so we can do 5(2x) to get 10x, and we can set that equal to 11 to get 10x=11. Dividing both sides by 10 gets us x=11/10 or x=1.1
If p/4 = 36 then x = ?
Answer:
144 (thank me) ( and also brainliest)
Step-by-step explanation:
p/4=36
144/4 gives you 36
p or x would be 144
Mrs.Marks paid $125 to have her hair colored and cut. If she tips her hairdresser 12% . What’s her total ?
Answer:
her total is $140
Step-by-step explanation:
turn 12% into a decimal (0.12) then multiply that by the amount she paid (125*0.12) that gives you 15. then add 15 to 125 to get the total amount ($140)
hope this helps!
Answer:
$140
Step-by-step explanation:
The total before the 12% tip is $125
To find 12% of $125, we will change 12% to a decimal, 0.12
0.12 * 125=15
15$ is the tip.
125+15=140
$140 is her total
A circle has its origin at (0, 0). The point (5, 7) is on the edge of the circle. What is the radius of the circle?
Select one:
A. r = 6√2
B. r = 2√18
C. r = 4√21
D. r = √74
E. There is not enough information to answer this question.
Answer:
The radius of the circle is √74
Step-by-step explanation:
Radius of a circle is the distance between the centre of a circle and its circumference.
The origin of the circle (0,0) will be its centre.
The point on the edge of the circle is the point on its circumference which is (5,7).
The radius of the circle will be the distance between this two points according to definition.
R = √(x2-x1)²+(y2-y1)²
Given (x1, y1) = (0,0) and (x2, y2) = (5, 7)
x1 = 0, y1 = 0, x2 = 5, y2 = 7
Substituting into the formula we have;
R = √(5-0)²+(7-0)²
R = √5²+7²
R = √25+49
R = √74
Answer:
Step-by-step explanation:
Given that a centre has an origin (0,0) and (5,7) at the edge.
What is the radius of the circle
This is a direct question, we can apply coordinate geometry by finding the distance between two point, .
From co-ordinate geometry, the distance between two points is
d =√[(x2-x1)² + (y2-y1)²]
So, applying this
Point 1 = (x1,y1) = (0,0)
Point 2 = (x2,y2) = (5,7)
The radius of the is
r = √[(x2-x1)² + (y2-y1)²]
r = √[(5-0)² + (7-0)²]
r = √[5² + 7²]
r = √(25 + 49)
r = √74
The correct answer is D
D. √74
Find the sum of the following series
Answer:
it is 40
Step-by-step explanation:
mark brainliest?
A certain television is advertised as a 45-inch TV (the diagonal length). If the width of the TV is 36 inches, how many inches tall is the TV?
The TV is 27 inches tall.
Step-by-step explanation:
Given,
The diagonal length of the TV = 45 in
The width of the TV = 36 in
To find the length the the TV.
Formula
By Pythagoras theorem,
h²=l²+b², where h be hypotenuse, b be base and l be height.
Now,
Putting, h=45, b= 36 we get,
45²=l²+36²
or, l²= 45²-36²
or, l²= 729
or, l = √729
or, l = 27
Hence,
The TV is 27 in tall.
What method would you choose to solve the equation 2x^2-7=9? Explain why you chose this method
Answer:
PEMDAS
Step-by-step explanation:
parenthesis, exponents,multiplication,division,additon,substraction, these are the steps in order to follow when solving equations.
An empty lot is being covered into a park with a playground area. The shape of the playground is shown below. This area will be covered with recycled rubber chips. Find the area of the figure given to determine how many square feet of rubber chips will be needed.
**SEE ATTATCHED DIAGRAM***
To solve for the area, find the area of an entire theoretical parallelogram. Then subtract the difference (the small triangle added).
Area = 1020 centimeters squared
If you need the answer in square feet, you have to convert.
(1 cm)^2 = (0.3937008 inches)^2
1 cm ^2 ≅0.155 in ^ 2 (or square inches)
A = 1020 * 0.155 ≅ 158.1 square inches
1 square inch = 0.006944444 square feet
158.1 square inches ≅ 1.097 square feet
Find all real square roots of -121.
The real square roots of -121 are ±11i, where 'i' represents the imaginary unit.
Explanation:When dealing with square roots of negative numbers, it's important to recognize that the square root of a negative number is an imaginary number. In this case, the square root of -121 is found by taking the square root of the positive value of 121 and then multiplying the result by 'i'. The square root of 121 is 11, so the square root of -121 becomes ±11i.
In the context of real numbers, square roots of negative values do not exist. However, in the realm of complex numbers, the introduction of the imaginary unit 'i' allows for the representation of square roots of negative numbers. The number 'i' is defined as the square root of -1. When squared, 'i' multiplied by itself yields -1.
Hence, the square root of -121, which is a negative number, results in ±11i, representing two imaginary numbers with opposite signs. These imaginary square roots are crucial in various fields, including mathematics, physics, and engineering, where complex numbers play a significant role in modeling and solving problems involving quantities with both real and imaginary components.
Sammy is laying brick in his front walkway. The rectangular path measure 3/5 of a foot by 4/9 of a foot. What is the area of space that will be covered with bricks
Answer: 4/15ft2
Step-by-step explanation:
Area of a rectangle is
Length ×breadth
Length is 3/5
Breadth is 4/9
Area = length × breadth
Area= 3/5×4/9
Area=12/45
Divide both the numerator and denominator by 3
We have
Area= 4/15ft2
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A circle has a diameter of 28 centimeters. Estimate the area of the circle. Use 22/7 for π.
Please answer this as soon as possible!
Answer:
616 cm²
Step-by-step explanation:
To find the area of a circle you use the formula A = π · r²
So we know that the diameter is 28 cm, to find the radius we would divide this in half, because d = 2r, giving us 14. Now we can do 14² which is 196, and then times that by pi or in this case 22/7.
196 × (22/7) = 616
Answer:
616 square centimeters
Step-by-step explanation:
Diameter of circle = 28 centimeters
π = 22/7
Area of a circle, A = π [tex]\frac{D^{2} }{4}[/tex]
A = [tex]\frac{22}{7}[/tex] * [tex]\frac{28^{2} }{4}[/tex]
A = [tex]\frac{22}{7^{1} }[/tex] * [tex]\frac{(4 * 7)^{2} }{4}[/tex]
A = [tex]\frac{22}{7^{1} }[/tex] * [tex]\frac{4^{2} *7^{2} }{4}[/tex]
A = 22 * 28
A = 616 square centimeters
Explain how to determine if a question is asking for
volume or surface area.
Answer:
Sample response: Volume represents the amount of space an object takes up. Surface area represents the area of the outside surface of the object. If you need to find the amount of space something takes up, or the amount to fill something, find the volume. If you want to find how much is needed to cover something, find the surface area.
Step-by-step explanation:
If they are asking for volume, they are wanting to know how much can go inside the object....If they are asking for surface area.....the are wanting to know about the outside only.
The volume is equal to the product of area and height of shape.
The total area occupied by the surfaces of an object is called its surface area.
What is a volume?"A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere."
What is surface area?"The total area occupied by the surfaces of an object is called its surface area."
Different shapes have different volumes. In 3d geometry, we have studied the various shapes and solids such as cube, cuboid, cylinder, cone, etc., that are defined in three dimensions. For all these shapes, we are going to learn to find the volume.
The formula to calculate the volume of a solid in a three-dimensional space, is to find the product of dimensions. Basically, the volume is equal to the product of area and height of shape.
Volume = Base Area x Height
For shapes having flat surfaces such as cube and cuboid, it is easy to find the volume. But for curved shapes like cone, cylinder and sphere, we have to consider the dimensions of its curved surface as well, such as radius or diameter.
In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:
1. Lateral surface area or Curved surface area
2. Total surface area
There is a different surface area formula for every geometrical shape, but the idea behind all is to get the total area occupied by all the faces of the objects.
The total surface area considers all the faces of the 3D shape including the flat surfaces and the curved surfaces, while the lateral surface area is calculated to find the area occupied by the curved surface of the shape. It does not include the area of the bases. A sphere is one 3D figure which has only one round surface with no flat base.
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