Answer:
Area of the rectangular pyramid is 82.8m²
Step-by-step explanation:
Given
Number of rectangle = 1
Number of triangles = 4
Dimension of Rectangle = Length = 6 metres; Height = 2 metres
Dimension of 2 triangles: Base = 6 metres and Height = 8.8 metres
Dimension of other 2 triangles: Base = 2 metres and Height = 9 metres
Required
Area of the Rectangular Pyramid
To calculate the area of the rectangular pyramid; we simply calculate the area of each of the shapes above;
Calculating the area of the rectangle;
Area = Length * Height
Area = 6m * 2m
Area = 12m²
Calculating the area of the first two triangles;
Base = 6 metres and Height = 8.8 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 6m * 8.8m
Area = 26.4m²
Area of two triangles = 2 * 26.4m²
Area of two triangles = 52.8m²
Calculating the area of the other two triangles;
Base = 2 metres and Height = 9 metres
Area of a triangle = 0.5 * Base * Height
Area = 0.5 * 2m * 9m
Area = 9m²
Area of two triangles = 2 * 9m²
Area of two triangles = 18m²
The area of the pyramid is the summation of the above calculations;
Area of Rectangular Pyramid = 12m² +52.8m² + 18m²
Area = 82.8m²
Hence, the area of the rectangular pyramid is 82.8m²
Answer:
82.8
Step-by-step explanation:
I just took the test
Have a good day :)
Which of the following are characteristics of the graph of the quadratic parent
function?
Check all that apply.
O A. It has a slope of 1.
O B. It goes through the origin.
C. It is a parabola.
D. It is in quadrants I and II.
Answer:
B, C, and D
Step-by-step explanation:
of this form is y = x2. The simplest parabola is y = x2, whose graph is shown at the right. The graph passes through the origin (0,0), and is contained in Quadrants I and II. This graph is known as the "Parent Function" for parabolas, or quadratic functions.
The graph of the quadratic parent function is:
A. It is a parabola.
B. It is in quadrants I and II.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
To check the characteristics of the quadratic parent function,
let us take the basic quadratic function : y = x²
Below is a graph for this parent quadratic function:
Currently, as shown on the graph below:
Basic parabola, that is. Moreover, the quadratic function's graphs typically have the shape of a parabola.
The graph is located in quadrants I and II.
So. These can only be the features of the quadratic parent function's graph.
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12.
What is the solution of the equation x2 + 2x - 7 = 0?
Answer:
cancel out as much of the equation as possible by doing inverse operations so add the 7 to both sides
x2 + 2x = 7
Divide by 2
x2 = 3.5
divide by 2 again
x = 1.75
now change x with 1.75 to check
1.75 x 2 = 3.5
3.5 + 3.5 - 7 = 0 so 1.75 is correct
Hope this helps
Step-by-step explanation:
V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO
Answer:
They got the same answer
Step-by-step explanation:
A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.
the ratio of adults to children in a schoolyard is 2 to 23. if there are eight adults in the schoolyard, how many children are there?
Answer:
92
Step-by-step explanation:
If the ratio of adults to kids is
2:23
it will also be equal as
8:92
Multiplying each half times 4!
What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]
Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)
Answer:
20x^2 +19x - 60
Step-by-step explanation:
3x( 4x+5) -4 (-x-3) (2x -5)
Distribute
12x^2 +15x - 4 (-x-3) (2x -5)
FOIL
12x^2 +15x - 4( -2x^2 -6x +5x +15)
12x^2 +15x - 4( -2x^2 -x +15)
Distribute
12x^2 +15x +8x^2 +4x -60
Combine like terms
20x^2 +19x - 60
Answer:
20x ^2 + 19x -60
Step-by-step explanation:
12345678910121314151617181920
Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)
Answer:
[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]
Step-by-step explanation:
Length of rectangular garden (l) = 16 feet
Width of rectangular garden (w) = 4 feet
[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]
[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]
a line passes through the points (4, -1) and (2, 3), what is the slope of the line?
A, 2
B, 1/2
C. -1/2
D. -2
The right answer is -2.
please see the attached picture for full solution..
Hope this helps..
Good luck on your assignment
Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition
Step-by-step explanation:
2 Points
Which of the following show an element of the sample space for flipping 2
coins? (H = Heads, T = Tails)
Check all that apply.
| A. TH
В. ТТ
C. HH
D. HT
A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.
Answer: The angles are 135° and 45°.
Step-by-step explanation:
In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.
If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.
If the angles are A1 and A2 we have:
A1 + A2 = 180°
and, we also know that A1 = 3*A2, we can replace it in the previous equation and get:
3*A2 + A2 = 180°
4*A2 = 180°
A2 = 180°/4 = 45°
then A1 = 3*45° = 135°
The angles are 135° and 45°.
PLEASE HELP I HAVE A TIMER
In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
36°
45°
135°
144°
Answer:
144 degrees.
Step-by-step explanation:
Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.
After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.
First, before we get to the angle of 4, we have to find the value of x:
1) angle 1 + angle 2 = 180
3x + 12x = 180
2) solve the above equation for x
15x = 180
3) divide both sides by 15 for x
x= 12 degrees
We know that angle 4 is the same as angle 2, which is 12x degrees.
So, now that we know what x is, 12 x 12 degrees = 144 degrees.
Hope this helped : )
The measure of angle ∠4 is 144°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
The measure of angle 1 = ( 3x )°
The measure of angle 2 = ( 12x )°
Angle 1 and Angle 2 are on the straight lines
So , the sum of the measures of angles = 180°
On simplifying the equation , we get
3x + 12x = 180
15x = 180
Divide by 15 on both sides of the equation , we get
x = 12
Substituting the value of x in the equation , we get
The measure of angle 2 = measure of angle 4 ( corresponding angles )
So , the measure of angle 4 = ( 12x )°
And , the measure of angle ∠4 = 144°
Hence , the angle ∠4 = 144°
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What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)
2x +3y=3
7x-3y=24
solve the above equations
2x+3y=3
+7x-3y=24
9x=27
x=27/9
x=3
substitute the value of x in 2x+3y=3
2(3)+3y=3
6+3y=3
3y=3-6
3y=-3
y=-3/3
y=-1
so the solution is
{x=3,y=-1}
Answer:
C : (3, -1)
Step-by-step explanation:
Minnie wants to know if the number of words on a page in her planetary science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Mean Median Mean Absolute Deviation Planetary science 48.9 41 9.2 Math 34.5 44 1.9 She claims that because the mean number of words on each page in the planetary science book is greater than the mean number of words on each page in the math book, the planetary science book has more words per page. Based on the data, is this a valid inference? No, because there is a lot of variability in the planetary science book data. Yes, because there is a lot of variability in the planetary science book data. Yes, because the mean is larger in the planetary science book. No, because the mean is larger in the planetary science book.
Answer:
I think it is
No, because there is a lot of variability in the geography book data
hope this helps
-lvr
No, Minnie is incorrect, because there is a lot of variability in the Planetary science book data.
Is this a valid inference?We know that, for 25 samples of each book, we have:
Book mean median MAD
Planetary science 48.9 41 9.2
Math 34.5 44 1.9
The claim, is that "the Planetary science book as more words per page"
Notice that even if we subtract the mean standard deviation from the mean in the Planetary science case:
48.9 - 9.2 = 39.7
And we add these in the math case:
34.5 + 1.9 = 36.4
So, even considering the variability, the Planetary science book has more words per page.
The value in the Planetary science case is still larger, so, only with this, we conclude that her claim is not valid.
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plsssss help due todayy!!
[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
This is urgent can someone please help.......
Quentin typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below?
A)73 yards
B)20 yards
C)53 yards
D)126 yards
A cone shaped tepee has a radius of 4 feet and a slant of 7 feet. If Joe is six feet tall, determine whether Joe is shorter or taller than the height of the tepee.
A)Joe is shorter than the tepee.
B)Joe is taller than the tepee.
C)Joe is the same height as the tepee.
D)There is not enough information to determine if Joe is shorter or taller than the tepee.
Which of the following could NOT be the side lengths of a right triangle?
A)3 - 4- 5
B)5 - 12 - 13
C)8 - 9 - 10
D)9 - 40 - 41
Answers are c, a, and c
Answer:
1. A
2.C
3.C
Step-by-step explanation:
The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is the slope of the line that passes through the points?
A. 2
B. 3
C. 6
D. 9
Answer:
C. 6
Step-by-step explanation:
Answer:
A. 2
Step-by-step explanation:
slope formula is : [tex]\frac{y2-y1}{x2-x1}[/tex] or the difference in y-coordinates in 2 points divided by the difference in x-coordinates in 2 points.
in this question, they have given you both the difference in x and difference in y.
therefore this question is saying : [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6}{3}[/tex]
[tex]\frac{6}{3}[/tex]= 2
therefore, the correct slope value is A. 2
What is the product?
pls help dis is timed :(
Answer: I think is c
Step-by-step explanation:
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Answer:
[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the passing through (1,3) and (-9,-2). So, equation of line in point slope form is
[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Now,
[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Answer:
The Answer is C
Step-by-step explanation:
i think This is correct
Triangle XYZ has vertices X(2,4), Y(3,4) and Z(3,8). Suppose you reflect this across the y-axis, then dilate it with a scale factor of 2 with the origin as the center of dilation. What are the coordinates of the resulting triangle X″Y″Z″? answers: A) X″(–4,8), Y″(–6,8), Z″(–6,16) B) X″(2,–4), Y″(3,–4), Z″(3,–8) C) X″(–2,4), Y″(–3,4), Z″(–3,8) D) X″(4,–8), Y″(6,–8), Z″(6,–16)
Answer:
X'' (-4, 8)
Y'' (-6, 8)
Z'' (-6, 16)
Step-by-step explanation:
The rule for reflecting across the y-axis is (x, y) -> (-x, y)
When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.
X (2, 4) -> (-2, 4) -> (-4, 8)
Y (3, 4) -> (-3, 4) -> (-6, 8)
Z ( 3, 8) -> (-3, 8) -> (-6, 16)
Factor completely 40xy2 − 36x2y. (4 points)
4xy(9y − 10x)
4xy(10y − 9x)
Prime
4xy(10x − 9y)
Answer:
4xy(10y - 9x).
Step-by-step explanation:
40xy2 − 36x2y
The Greatest Common Factor (GCF) of 40 and 36 is 4.
GCF of x and x^2 is x,
GCF of y^2 and t is y.
So GCF = 4xy.
and the factors are:
4xy(10y - 9x).
PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
The histogram below represents a data distribution with uniform class widths. Which of the following is the median of the data distribution?
Answer:
5
Step-by-step explanation:
the median means the number in the middle so the number in the middle would be 5
546/5 it is hard it i
Answer:
109.2
Step-by-step explanation:
If the number being divided does not end in 5 or 0, it being divided by 5 will not be equal. Therefor it might be better to try and use a calculator if you can't do it in your head.
Explanation:
First lets do the long division method. First we need to fit 5 into 5. That would be 1. So we write a 1 above the 546. Then we need to fit 5 into 4. Well it doesn't fit so we write a zero move another number. How many 5s fit into 46 well that would be 9. All we have left is a remainder of 1 which cannot fit into 5 and there are no more numbers
Answer:
109 R 1If you want a decimal that would be 109.2 or 109 1/5
Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?
Answer:
First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B.
Step-by-step explanation:
Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°
Answer: a
Step-by-step explanation:
Answer:
121
Step-by-step explanation:
The exterior angle measurement is equal to the sum of the opposite interior angles
34+ 87 = z
121 = z
Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?
Answer:
7
Step-by-step explanation:
10-3=7
does anyone know this?
Answer:
The ? is 4x * (-2x) = -8x².
Answer:
-8x^2
Step-by-step explanation:
-2x*4x=-8x^2
that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring
hope this is the right answer
The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
Which of the following is true about translations? Question 2 options: A) Translation changes the lengths of the image. B) Translation creates an image congruent to the given image. C) Translation changes the shape and angles of the image. D) Translation creates an image similar to the given image.
Using translation concepts, it is found that the correct statement is given by:
B) Translation creates an image congruent to the given image.
D) Translation creates an image similar to the given image.
What is a translation?A translation is represented by a change in the image position, keeping the angles and the length's of the sides.
The translated image is congruent and similar to the original image, hence options B and D are correct.
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Answer:
D) Translation creates an image similar to the given image.
Step-by-step explanation:
Which value for x makes the sentence true?
3/4x + 4 += 7
HURRY HELP PLEASE THANKS
Solve the equation. Don't forget to first simplify each side of the equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]
Answer:
x = 8
Step-by-step explanation:
Add [tex]\frac{1}{3}x[/tex] to both sides.
x + 1 = 9
Subtract one on both sides.
x = 8
Answer:
x = 8
Step-by-step explanation:
2/3x + 1 = -1/3x + 9
x + 1 = 9
x = 8