Answer:
I think it might be A, B, and E but I am not 100% sure.
Step-by-step explanation:
The figures are rectangular prism, cylinder, and square pyramid.
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.
A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.
A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.
A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.
A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.
A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.
Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.
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If the graph of a rational function R has the horizontal asymptote y = 2, the degree of the numerator of R equals the degree of the denominator of R. True or False
Answer: TRUE
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.
______________________________
Hey!!
Solution,
Area= 12 ft^2
height= 3 ft
Now,
Area=b*h
or, 12=b*3
or,b=12/3
b=4 ft.
The value of base is 4 ft.
hope it helps
____________________________
Find an equation of the line containing the given pair of points.
(4,1) and (12,7)
Answer:
y= 3/4x-2
Step-by-step explanation:
y2-y1/x2-x1
7-1/12-4
m=6/8
m=3/4
now solve for b (y-intercept)
plug in any y or x from any point
7=3/4(12)+b
7=36/4+b
7=9+b
7=9+b
subtract nine on both sides
-2=b
thats how u get ur equation
One of the skylights on the roof of Bianca’s building is in the shape of the solid below.
A rectangular pyramid has a base of 14 inches by 14 inches and a height of 9 inches. A rectangular prism has a length of 14 inches, width of 14 inches, and height of 2 inches.
What is the total volume of air inside the skylight?
392 inches cubed
588 inches cubed
870 inches cubed
980 inches cubed
Answer:
B. 588 inches cubed.
Step-by-step explanation:
the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196
the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.
= 588.25 - 196 = 392.25 + 196 = 588^3 (inches cubed ) we only needed one base structure
We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4
Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.
We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2
= 196sr - 49sr = 47sr
a^2 = √47 = 6.8556546004
So we know the diagram isn't to scale.
The equation of a rectangle pyramid =
A=lw+√l (w2)
2+√ 2+w
(l2)2+√ h2
The base is l*w*h - l*l = 392-196
or l*w + 4* h*w =196
The total volume of air inside the skylight is 980 inches cubed. Option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.
The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.
The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.
Therefore, the answer is (D) 588 inches cubed.
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A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Which statement is true about the end behavior of the
graphed function?
A: As the x-values go to positive infinity, the function's
values go to negative infinity.
B: As the x-values go to zero, the function's values go to
positive infinity
C: As the x-values go to negative infinity, the function's
values are equal to zero.
D: As the x-values go to positive infinity, the function's
values go to positive infinity.
Answer:
Option A.
Step-by-step explanation:
Let the given graph represent the function f(x).
From the given that given graph it is clear that the end behavior of the function f(x):
1. As the x-values go to positive infinity, the function's values go to negative infinity.
[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]
2. As the x-values go to negative infinity, the function's values go to positive infinity.
[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]
Therefore, the correct option is A.
The product of 7 × b is less than 7 but greater than 0.
b>____
b<____
Pleasee
Answer:
b<1 b>0
Step-by-step explanation:
7b<7
b<1
7b>0
b>0
I need help with this guys
Answer:
25:53
Step-by-step explanation:
75:159 have a common factor of 3
75/3=25
159/3=53
Which equations are equivalent to -1/4{X}=12 Select all that apply.
Answer:
2nd, 3rd and the last one
Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
10
8
6
4
-6-7 6 4 4 -3 -2 -1 0
2 3 4 5 6
-4
-8
-
A. (-10,-2), (-3,-1), (-2, 0),(-1, 1), (6,2)
O B. (2, 10), (1,3), (0, 2), (-1,1),(-2,-6)
O C. (10,2), (3, 1), (2.0), (1,-1).(-6, -2)
O D. (-2, 10),(-1,3), (0,2), (1, 1), (2.-6)
Answer:
A
Step-by-step explanation:
took it on ap ex
The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
What is mean by Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
The graphed function are shown in figure.
Now, All the points on the graph are,
⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)
Hence, The correct ordered pairs which are found on the inverse function are,
⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)
Thus, ''Option A'' is true.
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What is the range of the data
represented in the dot plot below?
2
3
0
Answer:
Range = 3
Step-by-step explanation:
First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.
Hope this helps! :D
Helllp!
How many lines of symmetry does a regular heptagon have? Explain your answer!
Answer:
7
Step-by-step explanation:
Regular polygons have the same number of lines of symmetry as they do sides
Answer:
7 lines of symmetry
Step-by-step explanation:
If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.
A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?
Answer:
[tex]10.6 \: m/s[/tex]
Step-by-step explanation:
Average speed = distance covered divided by the time taken.
[tex]S=\frac{d}{t}[/tex]
[tex]\frac{300}{28.22}[/tex]
[tex]=10.63075[/tex]
Answer:
10.63m/s
Step-by-step explanation:
distance traveled=s=300m
time taken=t=28.22s
average speed=v=?
average speed=[tex]\frac{distance covered}{time taken}[/tex]
average speed=[tex]\frac{300m}{28.22s}[/tex]
average speed=10.63075m/s
now in the question it is said that round to 4 significant figures so will write only first four digits
average speed=10.63m/s
Find the mystery number from the following clues. • It is a two-digit number. • It is a factor of 48. • It is a multiple of 6. • The sum of the digits is 3.
Answer:
It might be 24 but probaly not.
Step-by-step explanation:
It is the first 3 , but am not sure about the last one.
AB is a diameter of circle C. What is the degree measure of x?
Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?
(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2
Answer:
A,17.1 in
Step-by-step explanation:
circumference of sphere=2πr
Beetle walks=πr=π×15=15π=15×3.14≈47.1 in
Ant walks=d=2r=2×15=30
difference=47.1-30=17.1 in
Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction
Answer:
s = 5/4 pi
Step-by-step explanation:
A = 25π cm2
Theta = pi/4
A = pi r^2 = 25 pi
Divide each side by pi
r^2 = 25
Taking the square root of each side
sqrt(r^2) = sqrt(25)
r = 5
The arc length is
s = r * theta where theta is in radians
s = 5 * pi/4
s = 5/4 pi
please help me thank you in advance
Answer:
480
Step-by-step explanation:
The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
Find the area of the figure in the picture please!!!
Answer:
365cm^2
Step-by-step explanation:
Answer:
365cm ^2
I think
Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+
Answer:
- 8x² - 40x - 50
Step-by-step explanation:
Begin by evaluating the inside, that is g(f(x))
Substitute x = f(x) into g(x), that is
g(f(x))
= g(2x + 5)
= (2x + 5)² ← expand using FOIL
= 4x² + 20x + 25
Now substitute x = 4x² + 20x + 25 into h(x)
h(4x² + 20x + 25)
= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2
= - 8x² - 40x - 50
Thus
h(g(f(x))) = - 8x² - 40x - 50
help please, what is sum of the geometric series E6(4)k-1
Answer:
2,046Step-by-step explanation:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]
or:
is geometric series: [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]
[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]
so:
[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]
Answer:
B
Step-by-step explanation:
Edge2021
dino has 14 coins and 2 one dollar bills which describes the relationships between the coins and the dollar bills
Answer:
they are both money
Step-by-step explanation:
that's why they relate, they're both currency
Answer:
B
Step-by-step explanation:
I took the quiz
Mike wants to buy a 20 oz bottle of water for $4.00.
Mary isn't as thirsty and only wants an 8 ounce bottle of water for $1.75.
Mike says "its cheaper PER OUNCE to buy the 20 oz bottle of water." Mary disagrees.
Who is correct and why?
Answer: Mary is cheaper than mike
Step-by-step explanation:
Hopes this Helps
What is the length of BC in the right triangle below?
Answer:
15
Step-by-step explanation:
Look at the attachment
Five less than a number (n) is 28. Which equation shows this relationship?
5 < 28n
5- n = 28
n - 5 = 28
n - 28 = 5
Answer:
n - 5 = 28
Step-by-step explanation:
The number is n.
5 less than the number is n - 5.
5 less than the number is 28
n - 5 = 28
PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!
Answer:
3360
Step-by-step explanation:
By the Pythagorean Theorem, you know that:
[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]
This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!
Determine the value of y. answers : A) 46° B) 226° C) 180° D) 134°
Answer:
a) 46
Step-by-step explanation:
The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value
180-134=46
What would be the answer? I said 46.
Answer:
84
Step-by-step explanation:
We can represent the money Emily has as x, and the money Juan as j.
x = j + 19
Substituting 65 for j we get
x = 65 + 19
x = 84
Please help as quickly as possible
Answer:
The next fraction in the sequence is:
4/27Step-by-step explanation:
How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:
3/4 / 1/2 = 3/2 or 1.5Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:
3/4 / 3/2 = 1/2 1/2 / 3/2 = 1/3 1/3 / 3/2 = 2/9 2/9 / 3/2 = 4/27As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.
