Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r = [tex]\frac{20}{2}[/tex]
r = 10 in
Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
A tree grew 92 4/5 feet in 19 1/3 years. What was the average yearly growth rate of the tree
Answer:
4 247/290 or 4.85 ft/year
Step-by-step explanation:
93 4/5 ÷ 19 1/3 = 469/5 ÷ 58/3 = 469/5 x 3/58 = 1407/290 = 4 247/290
Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?
Answer:
the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Step-by-step explanation:
Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.
Therefore tax in first city = 10% of a = 0.1a
Tax in second city = 8% of b = 0.08b
From the total tax as $825, hence:
0.1a + 0.08b = 825 (1)
The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:
b = a - 1500
a - b = 1500 (2)
To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:
0.18b = 675
b = $3750
a = b + 1500 = 3750 + 1500 = 5250
a = $5250
Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Find the 5th term of the arithmetic sequence −5x−6, -x-10,3x−14,.
I think this is going to help you understand the concept and hope that the answer is correct. Thanks for understanding.
i only need a little guidance on this, please.
Answer:
Use the following identities:
sin²θ + cos²θ = 1Since sinθ = -1
cos²θ = 1 - sin²θcosθ = √1 - sin²θ = √1 - (-1)² = √0 = 0Tangent:
tanθ = sinθ / cosθtanθ = -1 / 0 = undefined in any interval where sinθ = -1sinØ=-1
cosØ
√1-sin²Ø√1-10tanØ
sinØ/cosØ1/0undefinedCan someone plz help me with this one problem!!!
Answer:
Step-by-step explanation:
Answer:
v = 9 m
Step-by-step explanation:
the formula for the perimeter is P = 2W + 2L.
Here the perimeter is 42 m = 2(12 m) + 2v. Solving for 2v, we get:
42 m - 24 m = 2v, or
v = 21 m - 12 m, or
v = 9 m
Create an equivalent ratio to 30:40 by dividing both sides by 10. What is the equivalent ratio?
Answer:
3:4
Step-by-step explanation:
Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12
Answer:
c
Step-by-step explanation:
exchange y and x
then find y
what is the value of [(-3)^3]^2+2^4?
helppppppppppppppppppp
Answer:
vertical opposite angles are always equal
= 143°
co-interior angles are supplementary ( 180° )
∴ x = 180 - 143 = 37
∴ x = 37°
hope this answer helps you.....
please mark as brainliest.. thank you!
5.
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
A. 1/150 dollars per day; the cost is $1 for 150 days.
B. 25/1 dollars per day; the cost is $25 for each day.
C. 1/25 dollars per day; the cost is $25 for each day.
D. 75/1 dollars per day; the cost is $75 for each day.
Answer:
B
Step-by-step explanation:
75 divided by 3 = 25
so 25 dollars each day
Answer:
B. 25/1 dollars per day; the cost is $25 for each day.
Step-by-step explanation:
Find the perimeter of the figure. PLEASE HELP ASAP I’LL MARK BRAINLIEST
Answer:
I believe it should be 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
hope this helps!
Which is a direct variation equation?
1. Y=x+5
2. Y=-5/x
3. Y=-5x
4. Y=x-5
Help
Answer:
3. y = -5x
Step-by-step explanation:
In a direct variation equation, the constant of proportionality (k) is a direct coefficient of the variable x.
Y will be set equal to x multiplied by this coefficient.
Since y = -5x directly relates x to y, with the constant of proportionality, it is a direct variation equation.
So, 3. y = -5x is the correct answer.
Find the area
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: I think is is 56 in^2
Step-by-step explanation:
Answer:
I’m pretty sure the answer is 56 in^2
If I’m wrong I’m sorry. I’m not strong on this.
Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)
(Please help me ASAP I will give u 30 points and brainliest.
Answer:
(4,8)
Step-by-step explanation:
1=8-8 no
5=12-8 no
8=16-8 YES
10=20-8 no
Answer:
I have that same problem!
Step-by-step explanation:
Find the volume of the figure. Use 3.14 for pi
Answer:
13
Step-by-step explanation:
3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b
Answer:
The answer would be letter J
The inequality for total expenditure & number of breakfasts is 5 > 1.25b
Formulation of inequality equation for expenditure & breakfasts
Assumed : Number of breakfasts = b
Number of breakfast meals x Price per breakfast meal = Total Expenditure
Total expenditure should be less or than equal to $1.25
So, 1.25b < 5
It implies that inequality : 5 > 1.25b
To learn more about Inequality, refer https://brainly.com/question/19491153?referrer=searchResults
GET 30 POINTS IF YOU ANSWER!!! ASAP!!!
Which of the following are true statements? Select all that apply. (2 answers)
If sin A=0.35, cos A=0.94, sin B= 0.58, and cos B=0.81 what is sin(A+B)?
Answer:
0.93
Step-by-step explanation:
this is the correct answer you want please follow me and make me brainlist
Can someone please help me
Answer:
11^2*pi= 121pi
Step-by-step explanation:
Complete the statement to write a general rule for dividing expressions with exponents.
Answer:
409
Step-by-step explanation:
I got it right on mine
HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST
Answer:
42
Step-by-step explanation:
Since the scale factor is , we know that the bigger shape went to the smaller shape.
If we know that the smaller shape's side, 12, is of the bigger one, we can make the equation
.
To solve for x, we can divide both sides by .
We can multiply by the reciprocal:
Hope this helped!
a bag contains a total of 300 purple and yellow beads. without looking, a student records the color and places it back in the bag. the student records 9 purple beads and 16 yellow beads. whats is the best prediction of the total number of yellow beads in the bag?
Answer:
It would be 192
PLEASE HELP I NEED IT TO PASS THIS CLASS
Answer:
Angle 5 = 37°
Angle 8 = 143°
Step-by-step explanation:
Angle 2 = Angle 8
Reason : Alternate exterior angles are equal.
Therefore,
Angle 8 = 143°
Angle 5 + Angle 8 = 180°
Reason : Angle 5 & 8 are in a linear pair.
Angle 5 + 143° = 180°
Angle 5 = ( 180 - 143 )°
Angle 5 = 37°
Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés
Answer:
the rate of interest is 11.7453%
Step-by-step explanation:
Given that
The present value is € 45,000
The Future value is €52,500
Time period 1 year, 4 months and 20 days i.e. 1.38809 years
We need to find out the interest rate
Here we apply the RATE formula in the spreadsheet
The formula is
= RATE(NPER;PMT;-PV;FV;TYPE)
The PMT would be zero
After applying the above formula, the rate of interest is 11.7453%
Which of these tables represents a function?
Answer:
Table W represents a function
Step-by-step explanation:
Mathematically, for us to have a function , no two y-values can take a single x value
But it is possible that two x-values have a single y value
So let us make a selection from the table
We have the correct option as;
W
PLEASE HELP ! giving a lot of points!
Answer:
458 g144 gStep-by-step explanation:
As per equation, the initial amount is:
A(0) = 458*(1/2)^(0/30) = 458*1 = 458 gSample amount left after 50 years:
A(50) = 458*(1/2)^(50/30) = 144 g (rounded)I can't figure this out and didn't see it on brainly, pls help
Answer:
it's 8
Step-by-step explanation:
(10×1/5)^3=2^3=8
Answer:
The answer is 8!
Step-by-step explanation:
Subtract the like terms. As you can see, the 10 in the numerator and denominator have the same base. Therefore, you can subtract the exponents, which would be 10^1, or 10. You would do the same for 5, which would be 5^-1, or 1/5. You would then make this one fraction, the 10 and 5. The fraction would be 10/5, or 2 once simplified. Now, don't forget the outside parentheses! You would do 2^3, and your final answer would be 8. Hope this helps!
the world's largest Apple had a mass of 1849 grams sue said the mass was greater than 2 kilogram does she stament make sense plz help fast
In AWXY, w = 6.7 inches, x = 7.4 inches and ZY=71°. Find the area of AWXY, to the
nearest 10th of a square inch.
Answer:
23.4
Step-by-step explanation:
The area of the triangle is 23.55 in².
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔWXY
w = 6.7 inches
x = 7.4 inches
∠Y = 71°
Now,
The area of the triangle.
= 1/2 (wx) siny
= 1/2 x (6.7 x 7.4) x sin 71
= 1/2 x 49.58 x 0.95
= 23.55
Thus,
The area of the triangle is 23.55 in².
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ2
An equation is shown below. 16 – 10 + y= 12 What value of y makes the equation true? a. 0 b. 3 c. 6 d. 12
Answer:
y= 6
Step-by-step explanation:
16-10
=6
6+6
= 12
Find the measures of the numbered angles in the diagram below?
Answer:
9) 130° (vertical to 130°)
10) 50° (supplementary to 130°, 180° - 130° = 50°)
11) 130° (alternate exterior to 130°)
12) 130° (vertical to 130°)
Step-by-step explanation: