Answer:
[tex]r=9.0\:\mathrm{cm}[/tex]
Step-by-step explanation:
The volume of a sphere is given as [tex]\frac{4}{3}r^3\pi[/tex]. Therefore we have the following equation:
[tex]\frac{4}{3}r^3\pi=3026,\\r^3=\frac{3}{4}\cdot\frac{3026}{\pi},\\r^3=722.40428,\\r=\sqrt[3]{722.40428},\\r\approx \fbox{$9.0\:\mathrm{cm}$}[/tex].
Rounding this to the nearest tenth of a centimeter, the radius of the sphere is approximately 14.0 cm.
What is volume?Volume refers to the amount of space occupied by an object or substance. In mathematics, it is usually measured in cubic units (e.g. cubic meters, cubic centimeters).
The volume of an object can be calculated using its dimensions and specific formulas that depend on the shape of the object.
For example, the volume of a cube is calculated by multiplying its length, width, and height, while the volume of a sphere is calculated using the formula [tex](4/3)\pi r^3[/tex], where r is the radius of the sphere.
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.
We can rearrange this formula to solve for r:
r = [tex](3V/4\pi)^{(1/3)[/tex]
Substituting the given volume V = 3026 [tex]cm^3[/tex], we get:
r = [tex](3(3026)/(4\pi))^{(1/3)[/tex] ≈ 14.0 cm
Thus, the radius of the sphere is approximately 14.0 cm, rounded to the nearest tenth of a centimetre.
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At a school the number of boy to girls is 11:9 there are 124 more boys than girls work out the total number of students at the school
Answer:
1240
Step-by-step explanation:
the explanation is very long but I hope this is correct!
a clock loses 20 seconds every hour, how many seconds will it lose in one day?
Answer:
480 seconds per day
Step-by-step explanation:
There are 24 hours in a day, 24*20=480 seconds per day
The number of seconds the given clock loses in a day is required.
The number of seconds lost by the clock in one day is 240 seconds.
AlgebraThe clock loses 20 seconds every hour.
A day has 24 hours.
If 20 seconds is lost every hour then the 20 seconds has to be added 24 times or the 20 has to be multiplied by 24.
So,
[tex]20\times 24=480\ \text{s}[/tex]
Learn more about algebra:
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If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two
Answer:
the best possiable prediction is 2/6
Step-by-step explanation:
Evaluate a^7 - 4b for a =3 and b= -1
Answer:
2187+4
= 2191
Step-by-step explanation:
plz brainliest :)
plz plz plz help me no incorrect answers plz
Answer:
x = 26°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray NC bisects ∠WNB
→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.
∴ m∠WNC = m∠CNB
∵ m∠WNC = 3v - 4
∵ m∠CNB = 2v + 6
→ Equate the measures of the two angles
∴ 3v - 4 = 2v + 6
→ Add 4 to both sides
∵ 3v - 4 + 4 = 2v + 6 + 4
∴ 3v = 2v + 10
→ Subtract 2v from both sides
∵ 3v - 2v = 2v - 2v + 10
∴ v = 10
∵ x = m∠WNC
∴ x = 3v - 4
→ Substitute v by 10
∵ x = 3(10) - 4
∴ x = 30 - 4
∴ x = 26°
Kevin has 7 baseballs. Each baseball weighs 0.3 pound. Ken wants to use this model to find the total weight of the baseballs. Each hundredths block in the model represents 1 whole.
Answer: The total weight of the 7 baseballs are 2.1 pounds, or if using a model, 2 hundredths and 1 tenth.
Step-by-step explanation:7 x 0.3 = 2.1 or 2 hundredths and 1 tenth on the model.
Hint: 1 Hundredth is equal to 1 whole.
To convert a temperature from degrees Celsius to degrees Fahrenheit, you can use the formula F= (C*1.8) + 32 where F is degrees Fahrenheit and C is degrees Celsius. What is the temperature (in degrees Fahrenheit) of water that is 10 degrees Celsius?
Answer:
The temperature is [tex]50^{\circ}F[/tex]
Step-by-step explanation:
Given
[tex]F= (C*1.8) + 32[/tex]
Required
Find F when [tex]C = 10[/tex]
[tex]F= (C*1.8) + 32[/tex]
Substitute 10 for C
[tex]F = 10 * 1.8 + 32[/tex]
[tex]F = 18 + 32[/tex]
[tex]F = 50[/tex]
BRAINLIEST! URGENT! Please help of you can, please provide an explanation aswell, Thank you.
Answer:
The x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
Step-by-step explanation:
Given the system of equations
2.4x - 1.5y = 0.3
1.6x + 0.5y = -1.3
solving the system of equations
[tex]\begin{bmatrix}2.4x-1.5y=0.3\\ 1.6x+0.5y=-1.3\end{bmatrix}[/tex]
Multiply 2.4x - 1.5y = 0.3 by 2
Multiply 1.6x + 0.5y = -1.3 by 3
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.8x+1.5y=-3.9\end{bmatrix}[/tex]
so
[tex]4.8x+1.5y=-3.9[/tex]
[tex]-[/tex]
[tex]\underline{4.8x-3y=0.6}[/tex]
[tex]4.5y=-4.5[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}4.8x-3y=0.6\\ 4.5y=-4.5\end{bmatrix}[/tex]
solve 4.5y = -4.5 for y
[tex]4.5y=-4.5[/tex]
Multiply both sides by 10
[tex]4.5y\cdot \:10=-4.5\cdot \:10[/tex]
Refine
[tex]45y=-45[/tex]
Divide both sides by 45
[tex]\frac{45y}{45}=\frac{-45}{45}[/tex]
Simplify
[tex]y=-1[/tex]
For 4.8x - 3y = 0.6, plug in y = -1
[tex]4.8x-3\left(-1\right)=0.6[/tex]
[tex]4.8x+3\cdot \:1=0.6[/tex]
[tex]4.8x+3=0.6[/tex]
Multiply both sides by 10
[tex]4.8x\cdot \:10+3\cdot \:10=0.6\cdot \:10[/tex]
Refine
[tex]48x+30=6[/tex]
Subtract 30 from both sides
[tex]48x+30-30=6-30[/tex]
Simplify
[tex]48x=-24[/tex]
Divide both sides by 48
[tex]\frac{48x}{48}=\frac{-24}{48}[/tex]
simplify
[tex]x=-\frac{1}{2}[/tex]
or
[tex]x = -0.5[/tex]
Thus,
(x, y) = (-0.5, -1)
Therefore, the x-coordinate of the intersection point (x, y) = (-0.5, -1) of the system is: -0.5
Hence, option A) i.e. -0.5 is correct.
What is the measure of the marked angle? (photo included)
Answer:
B) 42 Degrees
Step-by-step explanation:
An angle bisector is basically a line that splits an angle into two congruent angles.
In this case, the large angle ABC is bisected by ray BD.
Angle ABC is given to be 84 degrees, so the measure of angle ABD is exactly half of that, or 42 degrees.
Let me know if this helps!
PLEASE ANSWER SOON AND ONLY IF YOU KNOW THE ANSWER! I NEED YOUR HELP!
The graphs of [tex]y = x^2 - 7x + 7[/tex] and the line [tex]y = -3[/tex] intersect at two points. What is the sum of the x-coordinates of these two points?
Answer:
x = 5, x = 2
Step-by-step explanation:
y=x²-7x+7 but also y=-3
so x²-7x+7=-3
x²-7x+10=0
when factorising think about 2 numbers you multiply by each other tp give 10 but at the same time their sum is 7
-5x-2=10
-5+-2=-7
so (x-5)(x-2)=0
(note: multiply the two brackets to check if ur answer is correct and that it gives x²-7x+10=0)
x-5=0 so x=5
but also x-2=0 so x=2
. Solve; 2x+96=182 hurry due in 5 mins
Move all terms that don't contain x to the right side and solve.
x = 43
Answer:
x=43
Step-by-step explanation:
2x+96=182
2x=86 (Subtract 96 from 182)
x=43 (Divide 86 by 2)
The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?
A ladder is 8 metres long . It leans against a wall with one end on the
ground 6 metre from the wall. The other end just reaches a windowsill.
Calculate the height of the windowsill above the ground.
Answer:
b=2√7 ≈ 5.29 meters
Step-by-step explanation:
think of it like a right triangle like in the picture with 8metre ladder as the hypotenuse
a²+b²=c²
6²+b² =8²
b²= 8²-6²=28
b=√28 =2√7 ≈ 5.29 meters
i don't understand the math. please help.
Answer:
a. $105
b. $455
Step-by-step explanation:
In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24. What ratio represents the cotangent of ∠B?
Answer:
[tex]\frac{7}{24}[/tex]
Step-by-step explanation:
The cotangent of [tex]m\angle B[/tex] can be represented as [tex]\frac{1}{\tan (m\angle B)}[/tex]. Using trig rules for a right triangle, we can write the following equation:
[tex]\tan B=\frac{24}{7}[/tex].
Therefore, the cotangent of [tex]m\angle B[/tex] is:
[tex]\cot B = \frac{1}{\tan B}=\frac{1}{\frac{24}{7}}=\fbox{$\frac{7}{24}$}[/tex].
The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]. for understanding check the calcualtiion here ,
From the given information ,
In ΔABC, the measure of ∠C=90°, CB = 7, BA = 25, and AC = 24
Contangent of any angle is equal to adjacent side divide by opposite side
Cotangent of an angle is a relationship found by dividing the length of the side adjacent to given angle by the length of side opposite to the given angle.
The side opposite to angle B is CB and side opposite of angle B is AC
cot (B) = adjacent side / opposite side
[tex]cot(B)=\frac{CB}{AC}[/tex]
CB = 7, BA = 25, and AC = 24
[tex]cot (B)=\frac{7}{24}[/tex]
The ratio of cotangent of angle B is [tex]\frac{7}{24}[/tex]
Learn more information about 'cotangent ' here
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Rashawn kept a record of how many hours he spent listening to music for 6
days during school vacation and displayed his results in the table below.
Day
Monday
6
Tuesday Wednesday Thursday
5
5
6
Friday
5
Saturday
7
Number of Hours
Calculate the median number of hours Rashawn listened to music for the 6
days.
Answer:
The median is 5.5
HELP NEEDED Please emergency help :)
Answer:
See below.
Step-by-step explanation:
a. Geometric
b. Arithmetic
c. Neither
d. +4
e. 5
f. 2, 4, 6, 8
g. 2, 4, 8, 16
GUYS NEED THIS ANSWER SUPER FAST!!! ITS DUE IN 15 MINS
Answer:
21
Step-by-step explanation:
5 * (4*5+1)/5
= 5 * 21 / 5
= 21
Hope it will help
please help me im very confused
Answer:
56 units long
Step-by-step explanation:
the whole line is 73 units long, and CB is 17 units long. You would subtract 17 from 73 and then you have the missing value which is 56. (or in other words 17 plus what equals 73).
What is the solution to the system of equations shown?
y=2x+2
y=4x-2
Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
The container that holds the water for the football team is 1/4 full. After pouring in 10 gallons of water, it is 2/3 full. How many gallons can the container hold?
Answer:
[tex]x =24[/tex]
Step-by-step explanation:
From the question we are told that
Amount of water 1/4x
Gallons added 10
Amount of water after addition 2/3x
Where x is a full container
Generally the parameters above gives the equation
[tex]\frac{1}{4}x +10=\frac{2}{3}x[/tex]
Therefore
[tex]\frac{1}{4}x -\frac{2}{3}x =-10[/tex]
[tex]-\frac{5}{12}x =-10[/tex]
[tex]x =\frac{-10}{-\frac{5}{12}}[/tex]
[tex]x =24[/tex]
Therefore the container can hold 24 gallons of water
Four different stores posted ads on special 15-oz cans of baked beans -8 for $6 = 75 cents per can -10 for $10 = $1 per can -2 for $3 = $1.50 per can -80 cents per can The last store listing was selling 28-oz of baked beans for $1.40 each. How does that price compare to the other prices?
Answer:
75 cents per can
Step-by-step explanation:
8 for $6 = 75 cents per can
10 for $10 = $1 per can
2 for $3 = $1.50 per can
The last store sold 28-oz for $1.40 each
To obtain the cost per 15-oz can of baked beans
28-oz / 15-oz = 1.86667of 15 - oz cans of baked beans can be obtained from 28 - oz.
The price per can will now be :
$1.40 / 1.8666666
= $0.75
= 0.75 * 100 = 75 cents
Hence, for the last store, they sold at 75 cents per can similar to the first store.
Answer:
75
Step-by-step explanation:
it is
18.
Can someone help me with this?
Answer: A
Step-by-step explanation:
Find x and y so the quadrilateral is a parallelogram.
so confused.. I've watched many videos on this and its left me super confused im not even sure if those videos were right please help I dont understand.
Answer:
Its B :)
Step-by-step explanation:
Look at the graph points and match them with the choices
y = 1^2-2x+4
find y pls
Answer:
y = − 2 x + 5
Step-by-step explanation:
Try this
Answer:
y = −2x+5
Step-by-step explanation:
lmk if you need to see the work shown
Emily buys 14 balloons. 3 are red, 4 are white, and the rest are blue. What is the ratio of blue balloons to the total number of balloons? Group of answer choices
Answer:
3:4:7
Step-by-step explanation:
14-(3+4)
=14-7
=7
red:white:blue
3:4:7
Answer:
Step-by-step explanation:
3 + 4 + 7 = 14 which is the total
The blue balloons number 7 because 14 - (3 + 4) = 14 - 7 = 7
So the ratio is 7 blue / 14 (which is the total)
7/14 = 1/2 or 1 to 2
It’s true or false answers, plz help!
Answer:true
Step-by-step explanation:
slope is soo confusing.. but if anyone down to help me
Answer:
-2/2 or simplify to =-1
Step-by-step explanation:
you use rise over run. you may use an exact formula (y2-y1)/(x2-x1) by picking 2 y values and 2 x values on the graph and subtracting the values.
Sidney takes a rectangular piece of fabric and makes a diagonal cut from one corner to the opposite corner. The cut she makes is 15 inches long and the width of the fabric is 12 inches. What is the fabric's length?
Answer: The length is 3 or 9 hope this helps.
Step-by-step explanation: