Answer:
The correct options are;
1) Sandy is correct
2) The figure was divided into two rectangular prisms that are calculated separately
Step-by-step explanation:
Here we have to divide the figure into two rectangular prisms so as not to calculate for a dimension twice
Therefore, the figure can be split into a horizontal prism at the top with dimensions and volume = 10 × 4 × 3 and the vertical prism below will now have a dimension and hence, volume of 4 × 4 × 3
Therefore the volume of the figure is the sum of the volumes of the two prisms found as follows;
Volume of the figure = 10 × 4 × 3 + 4 × 4 × 3 = 168
We can try the othe way to confirm as follows
Volume of the prism below = 4 × 3 × 8 = 96
Volume of the horizontal prism above is now = 4 × 3 × 6 = 72
Volumre of the figure = 96 + 72 = 168
Therefore, since the volume = (10 × 4 × 3) + (4 × 4 × 3), Sandy is correct
Because the figure was divided into two rectangular prisms that are calculated separately.
Answer:
1(sandy is correct)
2(do not overlap
Step-by-step explanation:
Here is a triangular pyramid and its net.
The lateral faces are congruent triangles. The base (shaded) is an equilateral triangle.
(All lengths are in millimeters.)
Answer:
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Step-by-step explanation:
We are given the following dimensions of the triangular pyramid:
Side of triangular base = 6mm
Height of triangular base = 5.2mm
Base of lateral face (triangular) = 6mm
Height of lateral face (triangular) = 8mm
a) To find Area of base of pyramid:
We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]
[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]
b) To find area of one lateral surface:
Base = 6mm
Height = 8mm
Using equation (1) to find the area:
[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]
c) To find the lateral surface area:
We know that there are 3 lateral surfaces with equal height and equal base.
Hence, their areas will also be same. So,
[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]
d) To find total surface area:
Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base
[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]
Hence,
a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]
b) Area of one lateral face = [tex]24\ mm^{2}[/tex]
c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]
d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]
Answer:
Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and
three congruent isosceles triangular faces
Step-by-step explanation:
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = 2. It has a maximum at 5 and a minimum at negative 1. It goes through one cycle at pi. y = negative 3 sine (2 (x + pi)) + 2 y = negative 3 sine (x + pi) + 2 y = 3 sine (4 (x minus pi)) + 4 y = 3 sine (2 (x + pi)) + 2
Answer:
b
Step-by-step explanation:
We want to find a sine function such that:
it has a y-intercept equal to 2.it has a maximum of at 5, and a minimum at -1.it goes through one cycle at pi.The given options are:
y = -3*sin(2*(x + pi)) + 2 y = -3*sin(x + pi) + 2 y = 3*sin(4*(x - pi)) + 4 y = 3*sin(2*(x + pi)) + 2Notice that the first information that we have, implies that y must be equal to 2 when x = 0.
Knowing that we can discard the third option which has a y-intercept of 4.
Now the second. Remember that for a general function:
y = A*sin(k*x) + M
Where A is the amplitude and M is the midline, the maximum and minimum are given by:
A + M
-A + M
In all the remaining options we have:
A = ± 3
M = 2
We can see that with these we get the maximum and minimum of 5 and -1.
Finally, we know that it goes through one cycle at pi.
This means that if f(x) is the function, then:
f(x) = f(x + pi)
Also remember that for a general sine function, we have:
sin(x) = sin(x + 2*pi)
Ok, now let's analyze the options (only the sine part)
1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)
if we evaluate this in x + pi, we will get:
sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)
So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)
2) for the second option the sine part is:
sin(x + pi)
if we evaluate this in x + pi we get:
sin(x + pi + pi) = sin(x + 2*pi) = sin(x)
and we have:
sin(x +pi) ≠ sin(x)
Then this function does not go through one cycle at pi.
We can conclude that the two options that meet all the conditions are the first one and fourth one:
1) y = -3*sin(2*(x + pi)) + 2
4) y = 3*sin(2*(x + pi)) + 2
We can't say which one is correct if we do not look at the graph.
If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.
Below, you can see a graph of both functions:
The green one is y = 3*sin(2*(x + pi)) + 2, the blue one is y = -3*sin(2*(x + pi)) + 2
If you want to learn more, you can read:
https://brainly.com/question/14068845
Please tell me the answer quick. Thank you in advance.
Answer:
1176 cm3
Step-by-step explanation:
To solve the system of linear equations 3x - 2y - 4 and 9x-by= 12 by using the linear combination method, Henry decided that
he should first multiply the first equation by -3 and then add the two equations together to eliminate the x-terms. When he did
so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite
number of solutions. To check his answer, he graphed the equations 3x-2y = 4 and 9x-by= 12 with his graphing calculator,
but he could only see one line. Why is this?
because the system of equations actually has only one solution
because the system of equations actually has no solution
because the graphs of the two equations overlap each other
because the graph of one of the equations does not exist
Answer:
It is C because when they multiply by 3 the equations are the same
Step-by-step explanation:
Answer:
y=-3x+9 (D)
Step-by-step explanation:
A car travels at a constant speed for 45 minutes. During this time the car goes
48 miles. If the car continues at this same constant speed, write an equation that
models the number of miles, m, it will travel in t hours?
How far will the car travel in 7 hours ?
Answer:
IDK
Step-by-step explanation:
Answer: 308
Step-by-step explanation:
sorry if wrong............
pls help , need this done by tomorrow.
Answer:
Q matches to a and P matches to b
Step-by-step explanation:
This is a volume question so we can use the volume of a cylinder to see which one corresponds to what. Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h. We know that the heights of the cylinders are the same since the diagram says so. We also know pi is the same since thats a constant. The only thing thats different is the radius (as you can see radius of P is bigger than Q). If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q. More volume means more time to fill up. Since Q has less volume, it will take less time to fill up. So now we look at the graph. A shows that the height of water increases at a faster rate than that of B. This is because there is less volume in that container (less volume=less time to fill up). Therefore a matches to Q and therefore b matches to P
Help please:( idk this
Answer:
48 degrees
Step-by-step explanation:
A triangles degrees all add up to 180
so
180-90= 90 (90 is a square corner)
90-42= 48 (42 is the other known degree)
some one can help me please
Answer:
C
Step-by-step explanation:
Let's say Abudal's score = x.
We can do,
3x + x + x + 5 = 45
5x = 45
x = 8.
That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.
Find the surface area of an open box with length of 12 inches, width of 7 inches, and height of 4.5 inches
Also, Good Moring
Worth 20 points
Answer:
Step-by-step explanation:
l = 12 inches
w = 7 inches
h = 4.5 inches
Surface area = lw + 2wh + 2hl
= 12*7 + 2*7*4.5 + 2*4.5*12
= 84 + 63 + 108
= 255 square inches
If it is a closed box, surface area = 2*(lw +wh + hl)
As it is open, surface area = lw + 2wh + 2hl
Down part of the box : length *width
Upper part of the box = length*width
So, for closed box, 2lw
For open box , lw
math question below!!
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
To which interval would we restrict f(x) = cos (x-π/4) so that f(x) is invertible?
Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]
Hence the range of x values for which y is unique is presented as follows
[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]
The range of x values for which y is unique = 2·π.
The sum of three mixed numbers is 20 17/30
Two of the numbers are 6 1/3 and 8 5/6
What is the third number?
Answer:
Step-by-step explanation:
6 1/3 plus 8 5/6 is 15 1/6
20 17/30 minus 15 1/6= 5.4 or 5 2/5
Which of the following could represent the scale factor of the smaller figure to the larger figure?
4:25
6pi:15pi
8:125
20pi:125pi
16pi:250pi
2:5
Answer:
It could be 2:5 or 6pi:15pi
Step-by-step explanation:
If you write the ratio of the surface area as a fraction, you would get [tex]\frac{20\pi *yd^{2} }{125\pi *yd^{2} }[/tex]. Simplifying it would leave [tex]\frac{4}{25}[/tex]. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is [tex]\frac{2}{5}[/tex]. The answers would be 2:5 and 6pi:15pi.
Answer:
6π : 15π
2 : 5
MARKING BRAINLIEST!!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
A
Step-by-step explanation:
the area of square is 10²=100
Area of a circle is πr²=π(10/2)²=25π
100-25π=100-25*3.14=100-78.5=21.5
Step-by-step explanation:
Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared
pls help A round trip to your favorite aunt's house is 412 miles. You went to your favorite aunt's house 2 times last week. How many miles did you travel in total?
824 miles
Step-by-step explanation:
412×2=824 miles
or you could do 412+412=824 miles
Hope that helps! If you need any further clarification then please comment down below or message me. Good luck!
Simplify the expression:
2√75+ √20
8√5
2√5
10√5
12√5
Answer:
10 sqrt(3) + 2 sqrt(5)
Step-by-step explanation:
2√75+ √20
We know sqrt(a*b) = sqrt(a) sqrt(b)
2 sqrt(25*3) + sqrt(4*5)
2 sqrt(25)sqrt(3) + sqrt(4) sqrt(5)
2 * 5sqrt(3) + 2 sqrt(5)
10 sqrt(3) + 2 sqrt(5)
Find "G". Round to two
decimal places.
G= R+ab/at
R=257
a=4.88
b=37.4
t=61.5
Answer:
G ≈ 1.46
Step-by-step explanation:
Given
G = [tex]\frac{R+ab}{at}[/tex] , substitute values
G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]
= [tex]\frac{257+182.512}{300.12}[/tex]
= [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )
Which interval for the graphed function has a local
minimum of 0?
[-3,-2]
[-2,0]
[1,2]
[2,4]
Answer:
Interval for the function has local minimum of 0 is [2,4].
Step-by-step explanation:
You need to find the local minimum of 0 in the given function's graph.
In mathematics, local minimum is a point on a graph whose value is less than all other points near it.
See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4
So, final answer is :
Interval for the function has local minimum of 0 is [2,4].That's the final answer.
hope it helps
Answer: D
Step-by-step explanation:
2,4
The equation below describes a parabola. If ais negative, which way does the
parabola open?
Answer:
Downwards
Step-by-step explanation:
Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.
Hank and Lynn are both paying off car loans. • Hank paid $2,000 up front when he bought his car, and he pays $200 each month. • Lynn did not pay any money up front when she bought her car, and she pays $275 each month. Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop down menu to explain your answer
Answer:
Proportional for Lynn but not HankStep-by-step explanation:
Proportional relationship formula: y = kxHankHank paid $2,000 upfront when he bought his car, and he pays $200 each month.
This relationship is:
H(x) = 2000 + 200xThis is not proportional.
LynnLynn did not pay any money upfront when she bought her car, and she pays $275 each month.
This relationship is:
L(x) = 275xThis is proportional.
So the answer is:
The relationship between the number of months and the total amount paid is proportional for Lynn's loan.Please help. I don't understand.
match each term to its definition
Answer:
solar prominence is the 2nd one
solar wind is the 1st one
gamma ray photon is the 3rd one
Please help me I’m terrible at math.
Answer:
A) 200,000*0.75%=1500*100=150,000
B) 150,000 will be the birds population in 100 years
Can someone pls answer the question plss
Answer:
the first one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows the correct relationship between ΔABC and ΔA″B″C″?
Answer:
[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
Step-by-step explanation:
Given the information:
A'B'C' reflection over x = −1dilation by a scale factor of 4 from the origin<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]
We choose C.
Hope it will find you well.
f(x)=25x^2−10x+1f, left parenthesis, x, right parenthesis, equals, 25, x, squared, minus, 10, x, plus, 1
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
PLEASE HELP
Answer:
What is the value of the discriminant of f?
0
How many x-intercepts does the graph of f?
1
Step-by-step explanation:
I promise you i just got this question and this is the answer
The discriminant of f is 0.
The function f has one intercept.
In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:
a = 25
b = -10
c = 1
Now, let's calculate the discriminant:
Discriminant = b² - 4ac
= (-10)² - 4 x 25 x 1
= 100 - 100
= 0
The value of the discriminant of f is 0.
If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.
If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).
If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.
In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).
Learn more about Discriminant here:
https://brainly.com/question/33365847
#SPJ2
Which equation represents a nonproptional relationship
help please asap :))
Answer:
40
Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]
Use the quadratic formula to solve the equation
X^2+9X+20=0
Answer:
x=-4
x=-5
Step-by-step explanation:
Answer:
-4 or -5
Step-by-step explanation:
Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.
A prediction for the volume at 105 seconds is 497 cm3.
Is this a reasonable prediction?
No, there is no recognizable pattern in the data
from which to make a prediction.
Yes, the first differences are all around -70, so a
linear function is a good model. Subtracting 70 from
567 results in 497 cm3.
No, the first differences are 15, so a linear function
is a good model. Subtracting 15 from 567 results in
552 cm3
Yes, the average rate of change is about 8.
Answer:
Step-by-step explanation:
Answer:
answer: B
Step-by-step explanation:
