The mass of each book in the box is 2000 grams.
Explanation:In this question, we are given the total mass of the books in a box and the number of books in that box. We are being asked to determine the mass of each book in grams.
We know that there are 10 books in the box and the total mass for all the books is 20 kg. As 1 kilogram is equal to 1000 grams, the total mass of the books in the box is 20 kg x 1000 g/kg = 20000 grams.
Now, to find the mass of each book, we divide this total mass by the number of books. Therefore, the mass of each book is 20000 g / 10 books = 2000 grams per book.
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Each book has a mass of 2,000 grams.
Explanation:To find the mass of each book in grams, we need to convert the mass of the box from kilograms to grams by multiplying it by 1000.
So, 20 kilograms is equal to 20,000 grams.
Since there are 10 books in the box, we can divide the mass of the box by the number of books to find the mass of each book.
Therefore, each book has a mass of 2,000 grams.
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Which of the following shows 2.684 rounded to the nearest hundredth
A. 2.68
B. 2.69
C. 2.70
D. 3.00
The answer would be A
Final answer:
To round 2.684 to the nearest hundredth, you look at the third decimal place. Since it's a 4, you don't round up, keeping the second decimal at 8. The rounded number is 2.68.
Explanation:
To round the number 2.684 to the nearest hundredth, we need to look at the third digit after the decimal point, which is 4 in this case. Since the third digit (4) is less than 5, we do not round up the second digit. Therefore, the second digit after the decimal remains as 8, and the number 2.684 rounded to the nearest hundredth is 2.68.
So, the correct answer from the options provided is:
A. 2.68
Defining congruent triangles
Answer:
E -->R
D-->K
O-->O
Step-by-step explanation:
Assuming you are asking for congruent parts, correspondence is the part which corresponds and is also equal.
Here Angle E corresponds and is congruent to Angle R in these congruent triangles.
Angle D is congruent and corresponds to Angle K for these congruent triangles.
Angle O is equal to Angle O as they are vertical angles across a vertex.
Congruent triangles, in mathematics, are triangles that are of the same size and shape, meaning their corresponding sides and angles are equal. An example would be two triangles each with sides of 3, 4, and 5 units.
Explanation:In mathematics, specifically in geometry, congruent triangles are defined as triangles that have the same size and shape. This means that their corresponding sides are of equal length, and their corresponding angles are of equal measure. The concept of congruence is important in many aspects of geometry, including the study of shapes, symmetry, and transformations.
Examples of Congruent Triangles:If we have two triangles, Triangle A (with sides of 3, 4, and 5 units respectively) and Triangle B (with sides of 3, 4, and 5 units as well), these two triangles are congruent, as the lengths of their corresponding sides are equal. You could rotate, flip or move one to coincide exactly with the other, showcasing their congruency.
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A diameter of a circle had endpoints of (-5, 6) and (-5,-2). What is the equation of this circle?
Answer: OPTION A
Step-by-step explanation:
Apply the formula for calculate the distance between two points to know the value of the diameter of the circle:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\D=\sqrt{(-5-(-5))^2+(-2-6)^2}\\D=8[/tex]
The equation of the circle is standard form is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Where r is the radius and (h,k) is the point of the center of the circle.
As we know the diameter, we can find the radius:
[tex]r=\frac{8}{2}=4[/tex]
Substitute it into the equation:
[tex](x-h)^2+(y-k)^2=(4)^2[/tex]
[tex](x-h)^2+(y-k)^2=16[/tex]
Then, the answer is:
[tex](x+5)^2+(y-2)^2=16[/tex]
what is the absolute value of 5+|-6|
5+|-6|
5+6
11
...
...
..
..
Final answer:
The absolute value of -6 is 6, so the value of the expression 5 + |-6| is 11.
Explanation:
The absolute value of a number is its distance from zero on a number line, regardless of direction.
Hence, the absolute value of -6 is 6. Now let's solve the expression 5 + |-6|.
First, we find the absolute value of -6, which is 6. Adding this to 5, we get:
5 + |(-6)| = 5 + 6 = 11.
Thus, the absolute value of 5 + |-6| is 11.
For a small music concert, each child in attendance will get a free toy trumpet. Five adults are expected for every 2 children. Find how many children are expected if there are 15 adults, 25 adults, and 40 adults.
Answer:
If there are 15 adults we can expect 6 children, for 25 adults we can expect 10 children, and for 40 adults we can expect 16 children.
What is 77,543 rounded to the nearest ten?
Answer:
77,540
Step-by-step explanation:
Since 3 is less than 4, we round down a ten. This comes out to 77,540.
The Answer Would Be:
77,540
Triangle ABC has measures a equals 2 b equals 2 and angle a equals 30 degrees what is the measure of angle B
The answer is: Angle B is 30°
Why?Since we know that both sides, a and b are equal to 2, and angle A is equal to 30°, we can conclude that angle B is also equal to 30°. Also, we can know that the other angle (C) will be equal to 120° since the sum of all the angles in a triangle will be always equal to 180°.
Have a nice day!
Answer:
B: 30 degrees
Step-by-step explanation:
a=2
b=2
<b = 30
Which set of three angles could represent the interior angles of a triangle?
A.49,59,72
B.28,58,62
C.39,89,108
D.45,70,85
the sun interior angles of a triangle must be equal to 180degrees
option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees
The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Set of three angles:
The triangle's interior angles add up to 180°.
A.49,59,72
= 49 + 59 + 72
= 180(interior angles of a triangle)
B.28,58,62
= 28 + 58 + 62
= 148 (not an interior angles of a triangle)
C.39,89,108
= 39 + 89 + 108
= 236 (not an interior angles of a triangle)
D.45,70,85
= 45 + 70 + 85
= 200 (not an interior angles of a triangle)
Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.
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Find the surface area , please explain how you solved it.
The answer is 930 m^2. First, find the areas of each individual partbod the prism. The two side triangles would each be (5x12)/2. The back would be 5x29. The top would be 13x29. The bottom would be 12x29. Now add all of these together and you would get 930 m^2.
HELP ME PLZ
(50 POINTS)
➷ The formula for circumference is [tex]\pi d[/tex]
1) [tex]\pi d = 31.4[/tex]
Divide both sides by [tex]\pi[/tex]
d = 9.99 (consider this to be 10)
Half this to find the radius
10/2 = 5
It would be figure B.
2) [tex]\pi d = 37.68[/tex]
Divide both sides by [tex]\pi[/tex]:
d = 11.99 (consider this to be 12)
Divide by 2 to find the radius:
12/2 = 6
It would be figure C.
3) area = [tex]\pi r^2[/tex]
[tex]\pi r^2 = 153.86[/tex]
r^2 = 48.97515909
r = 6.998 (consider this to be 7)
It would be figure D
4) [tex]\pi r^2 = 113.04[/tex]
r^2 = 35.98174
r = 5.998 (consider this to be 6)
It would be figure C.
5) radius = diameter / 2
radius = 3
[tex]\pi (3)^2 = 28.27433[/tex]
It would be option C
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
he is right
becasue he knows what he is talking about
Is any whole number with 5 digits greater than any whole number with 4 digits
Answer:
Yes
Step-by-step explanation:
If you had 52,134 and 7,623, which one is greater? 52,134 because its in the ten thousands and 7,623 is in the thousands.
20) Use the distributive property to factor the expression. 10xz − 20yz A) z(10x − 20y) B) 10(xz − 2yz) C) 10z(x − 2y) D) xyz(10 − 20)
Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubic inches of tuna is in the can?
Answer: [tex]6.185in^3[/tex]
Step-by-step explanation:
The formula for calculate the volume of a cylinder is:
[tex]V_{cylinder}=\pi r^2h[/tex]
r is the radius of the cylinder and h is the height of the cylinder.
Given the diameter of 3 inches, calculate the radius of the cylinder with:
[tex]r=\frac{d}{2}[/tex] (Where d is the diameter)
[tex]r=\frac{3in}{2}=1.5in[/tex]
Knowing the height and the radius, you can calculate the volume of the entire can of tuna:
[tex]V_{can}=\pi (1.5)^2(1.75in)=12.37in^3[/tex]
As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:
[tex]V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3[/tex]
Answer:
Step-by-step explanation:
jaz its alexis
Please help me o have to turn this in tomorrow and I don’t want to fail
B=5 units that is the answer
PLEASE HELP!! 20 points :)
Answer:
25
Step-by-step explanation:
God I hate these xD
I am gonna try my best to explain how to do this :)
If the measure of angle 3 =119 degrees,then the measure of angle 6=
I think it’s 61 degrees.
Two kinds of perfume are packaged in square pyramidal bottles. Perfume A is packaged in a bottle with a base of 3 inches square and a slant height of 2.5 inches. Perfume B is packaged in a bottle with a base 2.5 inches square and has a slant height of 3 inches. Which bottle contains more glass?
Answer:
The bottle of perfume A contains more glass
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces
step 1
Find the surface area of Perfume A
[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]
step 2
Find the surface area of Perfume B
[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]
step 3
Compare the surface areas
[tex]24\ in^{2}>21.25\ in^{2}[/tex]
therefore
The bottle of perfume A contains more glass
-0.2x^2+0.9x+0.6=y
What's the vertex form for this equation?
Answer: y = -0.2(x - 2.25)² + 1.6125
Step-by-step explanation:
[tex]y = -0.2x^2 + 0.9x + 0.6\\\\y - 0.6 = -0.2x^2 + 0.9x\\\\y - 0.6 =-0.2(x^2-4.5x)\\\\y-0.6+\underline{(-0.2)(2.25)^2}=-0.2(x^2-4.5x+\underline{2.25^2})\\\\y-0.6-1.0125=-0.2(x-2.25)^2\\\\y-1.6125=-0.2(x-2.25)^2\\\\y=-0.2(x-2.25)^2+1.6125[/tex]
factor a(p–q)+q–p PPPLLZ
Answer:
(p-q)(a-1)
Step-by-step explanation:
a x (p-q) -1 (p-q) extract the negative sign
(p-q) x (a-1) fact p-q from expression
(p-q)(a-1)
Answer:
Apq is the answer
Step-by-step explanation:
A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of meters. The virus has a diameter of meters. Which statement accurately compares the sizes of the specimens?
Answer:
"The diameter of the bacterium is 10 times greater than that of the virus."
Step-by-step explanation:
Size of bacteria is 10^-6
Size of virus is 10^-7
Definitely the bacteria is larger. How many times larger? We find that by dividing the diameter of bacterium by the diameter of virus.
Let's do this:
[tex]\frac{10^{-6}}{10^{-7}}\\=\frac{0.000001}{0.0000001}\\=10[/tex]
Hence, the bacterium is 10 times larger than the virus
Answer:
I got A) "The diameter of the bacterium is 10 times greater than that of the virus."
Step-by-step explanation:
Hhhhhhhhhhhhhhhhhhhhhhh
Answer:
A
Step-by-step explanation:
Answer:a
Step-by-step explanation:
Plz help me i need it
Answer:
13x^3-2x^2+3x+13
Step-by-step explanation:
you add the like terms. For example, you can add 3x^2 and 2x^2, but not 6 and 2x^2.
Answer: 13x³ - 2x² + 3x + 13
Step-by-step explanation:
5x³ + 3x² - 5x + 4
+ 8x³ - 5x² + 8x + 9
13x³ - 2x² + 3x + 13
If a pitch from a moving vehicle sounds lower to a hearer, where is the vehicle in relations to the hearer? A. Past the hearer B. Before the hearer C. Above the level of the hearers ear D. Below the level of the hearers ear
Answer:
a
Step-by-step explanation:
give the other kid brainiest
A line described by the equation -4x + Y = 2 is graphed on a coordinate plane. Which equation describes the graph of a line passing through the point (-1, 3) and parallel to the line described by -4x + y = 2?
Answer:
D
Step-by-step explanation:
We know that parallel lines have equal slopes.
Let's transform the given equation to the form y = mx + b to find the slope (m is the slope). Shown below:
[tex]-4x+y=2\\y=4x+2[/tex]
So the slope is 4. Hence the parallel line will have a slope of 4.
Now we can write the equation of the parallel line as :
[tex]y=4x+c[/tex]
Since the line goes through (-1,3), we can plug in -1 into x and 3 into y to find out c:
[tex]y=4x+c\\3=4(-1)+c\\3=-4+c\\3+4=c\\c=7[/tex]
Now we know both m and c, so the equation of the parallel line is:
[tex]y=4x+7[/tex]
Answer choice D is right.
I'm having trouble with figuring out a question in algebra. It is: 1/8 times x = 1.
Answer:
8
Step-by-step explanation:
answer is 8 because 1/8 times 8 equals 1
If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
A. Three
B. Four
C. Five
D. Six
Answer:
Option D 6 is the answer.
Step-by-step explanation:
the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.
This ca be calculated in two ways.
(1) We will form the line segments
AB, AC, AD, BC, BD, DC
Therefore 6 segments can be formed.
(2) By combination method
Number of segments = [tex]^{4}C_{2}[/tex]
= [tex]\frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}[/tex]
= [tex]\frac{4\times 3}{2\times 3}=\frac{12}{2}[/tex]
= 6
Option D 6 is the answer.
Answer:
6
Step-by-step explanation:
possible points are:
ad
ac
ab
dc
db
cb
Suppose f(x) = x^2+2. Find the graph of f(2/3x)
Answer:
The answer is graph 4.
Step-by-step explanation:
I literally just guessed it and got it right lol. Stay safe, ya’ll.
Which of the following fractions is equal to 1/4 A.12/60 B.48/12 C.36/108 D.26/104 E.17/50
The answer is D because if you do 26 divided by 104 then you get .25 which is equivalent to 1/4
The correct choice is D. 26/104
Step-by-step explanation:By the simplification of fractions we get
26 / 104 as 1/4
See the attached figure
Jen spent $20 at the fair. She spent half of her money on admission and 18% on food. If she spent the rest on rides, how much did she spend on rides?
Step-by-step explanation:
Half of 20 is 10.
18 percent of 20 is 3.6
20-13.6 is 6.4 so she spent
6 dollars and 40 cents on rides
The population of the United States is 3 × 108 people, and the population of the world is 6.9 × 109 people. How many times larger is the world population? Write your answer in standard notation.
The world population is approximately 23 times larger than the population of the United States.
Explanation:The question is asking how many times larger the world population is compared to the population of the United States. You can determine this through division. In this case,
6.9 × 109 (the world population) divided by 3 × 108 (the US population) equals approximately 23. This means that the world population is approximately 23 times larger than the population of the United States.
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The answer is expressed in standard notation as 23.
To calculate how many times larger the world population is compared to the United States, we divide the world population by the population of the United States. Given the world population as 6.9 × 10^9 people and the U.S. population as 3 × 10^8 people, we perform the following calculation:
6.9 × 10^9 ÷ 3 × 10^8 = 23 times larger.
When we divide these two numbers, we subtract the exponents (since the bases are the same) resulting in 10^1, which is just 10. Multiply the non-exponential part: 6.9 ÷ 3, which equals 2.3. Therefore, 2.3 × 10 tells us that the world population is 23 times larger than the population of the United States. To write this in standard notation, we simply say the world population is 23 times larger.