If you cut a sphere diagonally or along any of its diameters, you will always get a circle as the plane figure because all diameters of a sphere are of equal length.
Explanation:In the field of mathematics, specifically in solid geometry, if Jackie created a diagonal cross section cut on a sphere, the plane figure that she would have discovered is a circle.
The concept behind this is that a sphere is a perfectly symmetrical three-dimensional figure. When we make a cross sectional cut along any diameter of the sphere (which is what Jackie did by making a diagonal cross section), we will always reveal a circular plane figure irrespective of the direction of this cut because all diameters of a sphere are of equal length, thus ensuring the cut is always a circle.
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A diagonal cross-section cut on a sphere will reveal a circle.
When Jackie made a diagonal cross-section cut on a sphere, she discovered a circle. Regardless of the angle or position of the cut, the intersection of a plane and a sphere always results in a circular shape. This fundamental geometric property arises from the symmetrical nature of spheres, where every cross-section manifests as a circle.
Thus, Jackie's diagonal cut revealed a circular plane figure, showcasing the inherent relationship between spheres and circles in geometry.
PLZ HELP! WILL GIVE BRAINLIEST!
Answer:35X 10^-13
Step-by-step explanation: multiply the coefficient 7x5 add exponents when multiplying
which symbol makes 3 13/28 and 3 17/30 a true sentence
Answer:
Step-by-step explanation:
13/28 = 195/420
17/30 = 238/420
So that means that 3 17/30 > 3 13/28
NEED HELP URGENTLY!!!!!
Given angles:
[tex]$\pi, \frac{\pi}{3} , \frac{3 \pi}{4}, \frac{4 \pi}{2}, \frac{7 \pi}{3}[/tex]
To order the angles from least to greatest:
The value of π = 180°
[tex]$\frac{\pi}{3}=\frac{180^\circ}{3}= 60^\circ[/tex]
[tex]$\frac{3 \pi}{4}=\frac{3 \times 180^\circ}{4}= 135^\circ[/tex]
[tex]$\frac{4 \pi}{2}=\frac{4 \times 180^\circ}{2}= 360^\circ[/tex]
[tex]$\frac{7 \pi}{3}=\frac{7 \times 180^\circ}{3}= 420^\circ[/tex]
Order from least to greatest:
60° < 135° < 180° < 360° < 420°
Now write using π:
[tex]$\frac{\pi}{3}< \frac{3 \pi}{4}< \pi < \frac{4 \pi}{2}< \frac{7 \pi}{3}[/tex]
Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)
7,500 m
750 m
7.5 m
0.75 m
Answer:
0.75m
You take the 75cm because that is the height and then you have to convert it to meters I used Google
In a board game, the player who makes the last move receives a 12-point bonus for ending the game.
Let s represent the score before the endgame bonus and f represent the final score.
Find the value of f when s=10.
f=
When s=10, the value of f is 22.
If s represents the score before the endgame bonus and f represents the final score, and the player receives a 12-point bonus for ending the game, then the relationship between s and f can be expressed as:
[tex]f = s +12\\f = 10 +12\\f= 22[/tex]
20 PTS QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE! ANSWER 3 QUESTION AND YOU WILL BE THE BRAINLIEST!
1) Which expression will help you find the area of the triangular bases?
3 × 12
8 × 3
1/2 × 8 × 3
8 × 12
2) Which expressions will help you find the areas of the rectangular faces? Select all that apply.
8 × 3
8 × 5
5 × 12
8 × 12
3) Find the surface area of this net.
_____a0 square centimeters
THE NET IS DOWN BELOW FOR ALL QUESTION IT IS THE SAME NET DRAWING GOOD LUCK!
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
j+2 = 3k+5 in terms of k
Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
Can someone find the area please?
20% of the 7th graders are on the football team. If 48 students are on the team, how many total students are in the 7th grade?
Answer:
i think its 13
Step-by-step explanation:
Dave says:
No quadrilateral has more than two lines of symmetry.
Is Dave correct?
Explain your answer.
Answer:
No, he is not correct because a square can be split in to 4 equally so thats two lines of symmetry
Also,you can split it diagonally both ways.
Step-by-step explanation:
sorry for bad drawing
No, Dave is wrong.
What is line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half.
What is a quadrilateral?Any figure bounded by 4 sides is called a quadrilateral.
What is a square?Any 2-dimensional figure bounded by 4 sides in which all sides are equal and all the angles are 90° is called a square.
How to know whether Dave is correct or not?Dave said that no quadrilateral has more than two lines of symmetry.
Square is a quadrilateral ;which has 4 lines of symmetry.It will be clear from the image below.So, the statement of Dave is wrong.
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Which set of numbers cannot represent the lengths of the sides of a triangle?
A. 9, 12, 19
B. 7, 18, 11
C. 7, 5, 6
D. 6, 8, 11
Answer:
i think it's B, but I'm not sure
a rectangle container messuring 20cm by 14.5cm by 10.5cm is filled with filled with water to its brim. if 300cm are drained out of the container, what will be the hight of the water level?
Correction
If 300cm3 are drained out of the container,
Answer:
9.47 cm
Step-by-step explanation:
Volume of the container is given by, V= lwh where l is the length of the container, w is width and h is height.
When filled with water, taking l as 20cm, width as 14.5 cm and height as 10.5cm, the volume of container is
V=20*14.5*10.5=3045 cm3
When 300 cm3 is drained, the remaining volume is 3045-300=2745 cm3
Since the length and width is constant but height varries, the new height will be
20*14.5*H=2745
H=2745/290=9.4655172413793
Rounded off, H=9.47 cm
Use the following set of data: 5, 7, 7, 6, 4, 8, 17, 5, 7, 5, 6, and 5. Find the interquartile range of the data. *
The answer is 2 because The interquartile range (IQR) is a number that indicates how spread out scores are and tells us what the range is in the middle of a set of scores.
For extra im going to tell you all the quartile ranges.
First Quartile-5
Third Quartile-7
Median-6
Interquartile-2
Answer:
2
Step-by-step explanation:
I SAID 2 I DID THIS QUIZ
Mrs. Téllez has a roll of wrapping paper in her gift shop. She uses 1/4 yard to wrap each gift. If there are 20 yards of wrapping paper on the roll, how many gift of the same size can she wrap until the roll is empty ?
Final answer:
Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
Explanation:
To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.
To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:
20 x 4/1 = 80/1 = 80
Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
Brenda has 18 fish in an aquarium. The fish are the following colors: 5 orange, 7 blue, 2 black, and 4 green. Brenda’s trouble-making cat has grabbed a fish.
What is the probability the cat did NOT grab an orange fish?
1/3
3/4
13/18
13/5
Answer:
It should be 13/18
Step-by-step explanation:
Subtract the number of orange fish from the total number of fish. The number you get will them be divided by the total number of fish.
18- total number of fish
5-total number of orange fish.
18 - 5 = 13
13 divided by 18
13/18
Please answer this asap! Its midnight and I'm tired 40 points
Answer:
1:
A'(6,6) B'(5,2) C'(2,6)
2: They are congruent if they have the same shape and size, if not, then they are not congruent
3: Can't answer
Answer:
They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.
We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.
Each transition was the following
1) As shown on diagram 90 flip
We found 67.75° with ABC, then 222.5°
Meaning 270° from start to finish.
There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.
Step-by-step explanation:
9. Anderson writes his name in English and Spanish language with
chalk, pencil, and pen. How many ways did he write his name?
Answer:
6.
Step-by-step explanation:
The number of ways = 2 languages * 3 implements
= 6
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per
cubic meter.
How many fish can Alvin get, at most?
Answer:
Step-by-step explanation: The answer is 2 fish
Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
To find out how many guppy fish Alvin can get for his water tank, we need to calculate the volume of the tank first. Given that the tank is prism-like with a base area of 0.9 square meters and a height of 0.6 meters, we can use the formula for the volume of a prism:
Volume = Base Area × Height
Substituting the given values:
Volume = 0.9 m² × 0.6 m
Volume = 0.54 cubic meters
Now, since the pet store owner advised Alvin not to exceed a density of 5 fish per cubic meter, we can calculate the maximum number of fish Alvin can get by multiplying the volume of the tank by the maximum density:
Max number of fish = Volume × Maximum density
Max number of fish = 0.54 m³ × 5 fish/m³
Max number of fish = 2.7 fish
However, since we can't have a fraction of a fish, Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
What is the difference between the circumference of the outer circle and the circumference of the inner circle? Leave your answer in terms of π.
Diameter is 9m and the outer part of the circle is 2m
Will give brainiest
Final answer:
The difference between the circumferences of the outer and inner circles, given a diameter of 9m for the inner circle and an outer part thickness of 2m, is 4π m.
Explanation:
To find the difference between the circumferences of an outer circle and an inner circle, we first need to determine their respective radii and then apply the circumference formula C = 2πr.
The given diameter of the inner circle is 9m, hence its radius is 9m / 2 = 4.5m. The thickness of the outer part of the circle is 2m, so the radius of the outer circle is 4.5m + 2m = 6.5m.
The circumference of the inner circle is C_inner = 2π(4.5m) = 9π m, and the circumference of the outer circle is C_outer = 2π(6.5m) = 13π m.
The difference between the circumferences is therefore Couter - Cinner = 13π m - 9π m = 4π m.
Calculate the range of javelin throws from the World Cup:
Answer:
13.28
Step-by-step explanation:
range=the difference of biggest number and lowest number
start overline, A, C, end overline are diameters of circle
P
PP.
Given:
m∠APB = 19°
To find:
The arc measure of DBC.
Solution:
∠APB and ∠DPC are vertical angles.
By vertical angle theorem:
m∠APB = m∠DPC
m∠DPC = 19°
DB is the diameter of the circle.
Angle measure of diameter = 180°
m∠DPB = 180°
m∠DPC + m∠CPB = m∠DPB
19° + m∠CPB = 180°
Subtract 19° from both sides.
19° + m∠CPB - 19° = 180° - 19°
m∠CPB = 161°
The measure of central angle is equal to the measure of intercepted arc.
m∠CPB = m(ar CPB)
m(ar CPB) = 161°
The arc measure of DBC is 161°.
X- 0,1,2,3 Y- 3,4,11,18. Which linear equatio represents the data given in the table? A) y = 3x + 7 B) y = 7x + 3 C) y = 3x - 7 D) y = 7x - 3
Answer:
Actually change the answer is y = 7x - 3. The other one is wrong I just finished and it gave me the correct answer.
Step-by-step explanation:
This is because she/he forgot to add negative 3 in the y section which made alot of yall think that everything was positive. It was originally -3 and if you need more explination dm me. New Table : X- 0 ,1 ,2 ,3 Y- -3 ,4 ,11 ,18
Do anyone know what goes in these blanks
Answer:
Blank 1 is Pythagorean Theorem, 2 is sides, 3 is right, 4 is legs, and 5 is the hypotenuse.
Step-by-step explanation:
2
Jeremy got $53.00 from his grandparents for his birthday. He wants to spend exactly
half of the money on a new toy, and put the other half in his savings account
a
How much money will Jeremy put into his savings account? Show your work.
Answer: 26.5
b
How did you handle the remainder in this problem?
O Left it as a whole number.
O Turned it into a fraction.
O Turned it into a decimal number.
C
Explain your choice.
Answer:
the answer is c.
Step-by-step explanation:
that is for the second question
What is the slope of 3x - 3y =5
The linear inequalities that will limit the solution region in a linear programming problem are called the ___. i need the answer asp
Answer: Constraints
i got that question its constraints
The local pizzeria offers a choice of 2 pizzas - supreme or vegetarian, 3 sides - chips, salad
or coleslaw, and 4 drinks - juice, coke, ginger beer or water. For dinner I decide to have
1 pizza, 1 side, and 1 drink. How many possible meals do I have to choose from?
Answer:
24
Step-by-step explanation:
To determine the number of possible meal combinations at the pizzeria, multiply the number of options for each course, yielding 2 (pizzas) × 3 (sides) × 4 (drinks), which equals 24 possible meals.
Explanation:To calculate the number of possible meals you can choose from at the pizzeria, you can use the Fundamental Principles of Counting, specifically the Multiplication Principle. The principle states that if one event can occur in m ways and a second independent event can occur in n ways, then the two events can occur in m × n ways together. Since we are dealing with more than two events, we extend this principle.
In this scenario, you have 2 kinds of pizzas, 3 sides, and 4 drinks to choose from. To find the total combinations of meals, you multiply the number of options for each selection. That is:
Pizza options (2) × Side options (3) × Drink options (4) = Total meal options.So, the calculation would be:
2 × 3 × 4 = 24 possible meals.
This calculation shows that there are 24 different combinations of meals that you can choose from when you pick one pizza, one side, and one drink.
5) A mathematical term that does not include an equal or inequality sign is called an _ _ _ _ _ _ _ _ _ _.
Answer:
this is called a Expression
Step-by-step explanation:
Answer:
expression
Step-by-step explanation:
does anyone know adjacent angles ?
I WILL MARK BRAINLIEST!!
Approximate the distance between the two points.
(-3,5)
(7,-1)
-32 units
-136 units
-11.7 units
-5.7 units
Answer:
-11.7 units
Step-by-step explanation:
using the distance formula d= sq route of (x2-x1)squared+ (y2-y1)squared
the distance is found to be the square root of 136, which is 11.66 so round to 11.7