the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE
Answer:The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer
Answer:
28
Step-by-step explanation:
When you put the numbers in order and then cut into 4 equal parts 28 is the first cut
sorry idk if that made sense or not
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°.
How many ways can the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members?
a.
Permutation; Subscript 28 Baseline P Subscript 4 Baseline = 491,400
b.
Permutation; Subscript 24 Baseline P Subscript 4 Baseline = 255,024
c.
Combination; Subscript 28 Baseline C Subscript 4 Baseline = 20475
d.
Combination; Subscript 24 Baseline C Subscript 4 Baseline = 10626
Answer:
A)[tex]^{28}P_4}=491400[/tex]
Step-by-step explanation:
Total number of members = 28
We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members
When 1 member is selected for Chairman position
So, 27 members will be left for the selection for the position of Vice chairman
When 1 member out of 27 is selected for Vice chairman position
So,26 members will be left for the selection for the position of secretary
When 1 member out of 26 is selected for secretary position
So,25 members will be left for the selection for the position of treasurer
Permutation relates to the act of arranging all the members of a set into some sequence or order,
The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.
So, we will use permutation over here
Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]
Substitute n = 28 and r = 4
So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]
So, Option A is true
A)[tex]^{28}P_4}=491400[/tex]
Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.
The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
The given parameters
Number of members = 28 Number of positions = 4Total arrangement of the different positions available[tex]nP_r =\frac{n!}{(n- r)!}[/tex]
[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]
Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.
Learn more about permutation here: https://brainly.com/question/3086912
A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)
Answer:
B. (3, -6)
Step-by-step explanation:
Given line
y= 1/4x + 3
given line is in form of y = mx + c
where m is slope of line and c is y intercept
thus, in line y= 1/4x + 3 m is 1/4 is slope
we know product of slope of two perpendicular line is -1
m1 * m2 = -1
let the line perpendicular to y= 1/4x + 3 be
y = mx + c
thus
m * 1/4 = -1
m = -4
Thus, in y = mx + c , m is -4
updated equation until now by putting value of m as -4
y = -4x + c
this, line passes through point (0,6)
putting x as 0 and y as 6 in y = -4x + c
we have
6 = -4*0 + c
=> c = 6
Thus, equation of perpendicular line is
y = -4x + 6
_______________________________________________
we have to find which point from the option lies on y = -4x + 6
lets plug in value of x from given points and see if value of y calculated is as given in option . if the value is different then point does not lie on perpendicular line
(4, -2)
y = -4*4 + 6
y = -16 + 6 = -10
-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on
y = -4x + 6
(3,-6)
y = -4*3 + 6
y = -12 + 6 = -6
-6 is equal to -6 as given in option, thus point (3,-6 ) does lie on
y = -4x + 6
(0, -6)
y = -4*0 + 6
y = 0 + 6 = 6
6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on
y = -4x + 6
(-2,2)
y = -4*-2 + 6
y = 8 + 6 = 14
14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on
y = -4x + 6
Thus, option B. (3, -6) is the correct choice.
Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior
Answer:
∠DHGStep-by-step explanation:
Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.
Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.
Therefore, the right answer is ∠DHG.
HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.
Answer:
Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....
Step-by-step explanation: yeah
Answer:
i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.
Step-by-step explanation:
volume = 1
0.5 +0.5 = 1
volume 2
1+1 = 2
you just need to use the word distribution and show like this
(V): amount / 2 = new amount (adding cm^3)
To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.
(V): L x Wx H =
You then multiply the amount of books if you was not given the measure of the bookcase shelf.
IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.
H/2 = first and enter below the new height.
(V): L xWx H = this is the whole shelf
(V) = / 2 you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1 by (/2)
Use the found answer
LAbel
MAth text books (V) =
Bounty paper towells (V) =
Then see how many cubic sheets fit.
ie) if they measure 30cm x 1cm x 30xm
and the shelf measures 30cm x 60 x 60
you can count up from the second values as the first values fit the length
The width = 1 x 60 - 60 books. (example 1cm Width thickness)
Then see the height does not change to the height of the books.
IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height
then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%
To calculate percentage decrease: see above
First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.
You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% = amount x 0.50 = 1/2 new amount.
z2 (z squared) when z = 0.7 help us out
Answer:
0.49
Step-by-step explanation:
0.7^2 is the same as 0.7*0.7. You just have to times them together!
Hope this helps!
The solution is z^2= 0.49.
What is Square root?A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.
For example, 4 and −4 are square roots of 16, because 4² = ² = 16.
here, we have.
z^2=z*z
when z = 0.7
z^2= 0.7*0.7
=0.49
0.7^2 is the same as 0.7*0.7.
Hence, the solution is z^2= 0.49.
To learn more on square root click:
brainly.com/question/29286039
#SPJ2
Mya says when 10 is added to a number, the hundreds digit stays the same. Is Mya's statement always true?
Answer:
no
Step-by-step explanation:
When you add 1 90+10 it equals 2 00. The hundreds digit, underlined, changed.
Answer:
the answer is no
Step-by-step explanation:
500+100=600
A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.
Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.
Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.
Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.
Calculate 42.25 – (3 x 4.25).
The initial value is 29.50.
Help pure people pls get brainliest
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
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
I need help idk if it’s right
Answer:
A, f(x)=x-4
Step-by-step explanation:
f(x) is basically just another way to write y.
So we have the slope is 1, and the y intercept is -4, thus the equation is f(x)=x-4
Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62
Answer:
-2125762
Step-by-step explanation:
list the 6 matching student numbers you found.
Answer:
12, 16
Step-by-step explanation:
hope it helps
The difference between a number and 13 is 25. What is the number?
Answer:
37 is the number
Step-by-step explanation
37- 13 = 25
Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000
Answer:
1,000
Step-by-step explanation:
The more rolls you make, the closer the experimental and theoretical probabilities get closer together
Answer:
1000
Step-by-step explanation:
Express the ratio of A's to N's in the word BANANA, in simplest form.
A. 2:3
B. 3:2
C. 1:2
D. 2:1
Is it B.?
Answer:
There are 3 A's and 2 N's so the answer is B.
PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}
Answer:c
Step-by-step explanation:
What is the volume of the cylinder below?
Answer:
No picture
Step-by-step explanation:
The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]
H= height R: Radius
So for example if the height was 10 and the radius was 2 you would do the following:
Hx[tex]\pi r^{2}[/tex]
= 10x 3.14x[tex]2^{2}[/tex]
= 10x 3.14x 4
= 10x 12.56
= 125.6cm^3 :)
[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps
what number is being factored in this factor tree?
Answer:
164
Step-by-step explanation:
82 multiplied by 2
Answer:
164
Step-by-step explanation:
2 *82=164
WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz
Answer:
Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.
Answer:
Option A
Step-by-step explanation:
In trapezoid, one pair of opposite sides are parallel.
Parallel lines have the same slope.
So , we have to find the slope of four sides and from that we can show that it is a trapezoid.
What is the value of p?
Answer:
p = 50°.
Step-by-step explanation:
To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.
Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:
180 - 140 = 40°.
Repeat this same step for the other angle.
180 - 90 = 90°.
Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.
180 - 90 - 40 = 50°.
Therefore, p = 50°.
Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *
A. 7th
B. 8th
C. Baseball
D. Soccer
Answer:
Baseball
Step-by-step explanation:
You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.
HELPPPPP PLEASE IT'S URGENT!!!!!!
What is the volume of the composite figure? Express the
answer in terms of .
A) 1447 mm
B)1687 mm
C) 3121 mm
D) 4567 mm
Answer:
Step-by-step explanation:
Volume of the hemisphere
V = 2/3π x r^3
= 144π cu. mm
Volume of the cone
V = 1/3π x r^2 x h
V = 168π cu. mm.
Volume of the composite figure
= 144π + 168π
= 312π cu. mm.
A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?
Answer:
1. 140 in²
2. 2.25 in²
3. 182 in²
4. 55 in²
5. 374.75 in²
Step-by-step explanation:
1. Area of each triangle: 10*7*1/2 = 35 in²
Area of the roof = 4*35 = 140 in²
2. Area of the entrance hole: 1.5*1.5 = 2.25 in²
3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²
Area of the sides: 4*45.5 = 182 in²
4. Area of the square of the base: 5*5 = 25 in²
Area of each rectangle: 1.5*5 = 7.5 in²
Area of the four rectangles = 4*7.5 = 30 in²
Area of the base: 25 + 30 = 55 in²
5. The total amount of material needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²
Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?
Answer:
30 minutes
Step-by-step explanation:
Dina took 2 hours to finish the path, since she biked at 10 km/h.
This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.
To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.
This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.
Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?
A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points
Please explain your answer
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
220 meters = ________ centimeters
Answer:
220 meters=22000 centimeters
Step-by-step explanation:
Hope this helps!!! :)
plz do them both since ur here now
Answer:
19 is d 26 is c 27 is b
Step-by-step explanation:
