Answer: 1000 in.
Step-by-step explanation:
Given
The dimension of the small cube is [tex]1\ in.[/tex]
No of the cubes is [tex]10^6[/tex]
If the small cubes are arranged on the floor
The area of the cubes is
[tex]\Rightarrow 10^6\times 1^2\ in.^2[/tex]
Suppose the side length of a large cube is a
[tex]\therefore a^2=10^6\times 1^2\\\\\Rightarrow a=1000\ in.[/tex]
A triangle has sides with lengths 8, 15, and 17.
Approximate the acute angles in this triangle.
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the acute angle of the given triangle is 28.07 degrees.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A triangle has sides with lengths 8, 15, and 17.
By Pythagoras theorem, we have
H² = P² + B²
17² = 8² + 15²
289 = 64 + 225
289 = 289
The dimension of the triangle satisfies the Pythagoras theorem. Hence the triangle is a right-angle triangle.
Then the acute angle will be
[tex]\rm \theta =Sin ^{-1} \dfrac{8}{17}\\\\\theta = 28.07^o[/tex]
Thus, the acute angle of the given triangle is 28.07 degrees.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $8.50. The auditorium can hold at most 110 people. The drama club must make no less than $680 from ticket sales to cover the show's costs. Also, they can sell no more than 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
74 or 73
Step-by-step explanation:
We are going to assume that the show is sold out. If 66 student tickets were sold, we only have 74 adult tickets to sell. Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students. Our inequality looks like this:
5.50(66) + 7.50(a) ≥ 910 and
363 + 7.50a ≥ 910 and
7.50a ≥ 547 so
a ≥ 73
In order to meet our money requirement, we have to sell 73 adult tickets. Since we have 74 seats left, we are good.
pls I need help please :D its math and you'll get 30 points
Its a picture
Answer:
5,750
Step-by-step explanation:
if he has 10 of each then you can multiply each bag by 10 and then multiply the amount of bags to the amount the coin is worth
Ryan has a box of markers. It has 45 markers that are some shade of blue. The blue markers represent 25% of the total markers in the box. What is the total number of markers in the box?
What is the greatest common factor of 12, 24, and 48?
the greatest common factor (GCF) of 12, 24, and 48 is 12.
Answer:
GCF of 24 and 48 is 24
Step-by-step explanation:
write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3
Answer:
y=-3x+12
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-3(x-2)
y-6=-3x+6
y=-3x+6+6
y=-3x+12
10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?
Factor Trinomials:
1) 2x^2 + 14x + 20
2) 8x^2 + 64x +128
(Please show work)
I give out brainliest
Answer:
1. [tex]2(x+2)(x+5)[/tex]
2. [tex]8(x+4)^{2}[/tex]
Step-by-step explanation:
Problem #1:
1. Find the GCF (Greatest Common Factor)
[tex]GCF = 2[/tex]
2. Factor out the GCF and simplify.
[tex]2(x^{2} +7x+10)[/tex]
3. Factor [tex]x^{2} +7x+10[/tex]
Which two numbers add up to 7 and multiply to 10?
2 and 5
Rewrite the expression using the above.
[tex](x+2)(x+5)[/tex]
4. Done!
[tex]2(x+2)(x+5)[/tex]
Problem #2:
1. Find the GCF (Greatest Common Factor)
[tex]GCF=8[/tex]
2. Factor out the GCF and simplify.
[tex]8(x^{2} +8x+16)[/tex]
3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]
[tex]a = x\\b=4[/tex]
[tex](x+4)^{2}[/tex]
4. Done!
[tex]8(x+4)^{2}[/tex]
first to answer please be correct asap !!! giving brainleist and 10 pts.
Answer:
The third one
Step-by-step explanation:
What is the sum of the exterior angles of polygon QRST?
360°
90°
180°
540°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360°
YALL, I NEED HELP PLEASE HELP ME!
Answer:
16/r
Step-by-step explanation:
16 is how many people there is in total, r is how they are being divided :)
someone please help me I’m going to cry
Welp ig ur gonna cry bc i SUCK at math xx
Gavyn was thinking of a number.gavyn halves it and gets an answer of 9.4 what was the original number?
Please answer, im in a hurry
Answer:
Q(4,-8) —> Q'(4,6)
R(6,-8) —> R'(6,6)
S(6,-1) —> S'(6,-1)
T(4,-1) —> T'(4,-1)
Hope this helps!
Side of the triangle below has been extended to form an exterior angle of 135 find the value of X
Answer:
x = 45
Step-by-step explanation:
x + 135 = 180 {Linear pair}
x = 180 - 135 {Subtract 135 from both sides}
x = 45
If a scuba diver swam from the surface at −1212 feet per minute, for 412 minutes, what would be the diver’s change in elevation?
Answer:
-1212 feet/min * 412 min = -499314 feet
Step-by-step explanation:
if you have a speed, or in this case velocity since the measurement has a definite direction, and time you can multiply them together to get the distance. Some easy examples, 10 feet per second for 1 second is 10 feet, hopefully that logically makes sense as well. i you are going 10 feet in 1 second, then after 1 second you went 10 feet. after 2 seconds it's 20 seconds and so on
Here we have -1212 feet per minute for 412 minutes. just to establish things, 1 minute would be -1212 feet, here the negative means below the surface, sometimes measurements will have that. Anyway, 2 minutes would get -2424, and so on. So it should make sense to multiply them.
-1212 * 412 = -499314
With units, you also have to pay attention to what might cancel out. You treat different units like variables. so -1212feet per minute looks like -1212 feet/min where feet and min are basically variables. Similarly 412 minutes is 412 min. So if you picture multiplying these, you get -1212 feet/min * 412 min. In this scenario the mins cancel each other out, since everything s being multiplied. so like if you had x/y * y you would just get x, or 2/3 * 3 gets just 2. So this is another way to know what to multiply by.
feet/min has min in the denominator and we want feet, so we need to multiply by something that just has min as its units. Anyway, that let's you know it's -499314 feet
The drivers change in elevation is 499,344 feet in 412 minutes
Given:
Distance travelled per minute = −1212 feet
Time travelled = 412 minutes
Change in elevation = Distance travelled per minute × Time travelled
= −1212 feet per minute × 412 minutes
= 499,344 feet
Therefore, the drivers change in elevation is 499,344 feet in 412 minutes
Read more:
https://brainly.com/question/17865165
Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow?
Answer:
Net operating cash flow= $459
Step-by-step explanation:
Giving the following information:
Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. T
To calculate the operating cash flow, we need to use the following structure:
Sales= 1,340
Costs= (740)
Gross income= 600
Depreciation= (130)
EBIT= 470
Tax= (470*0.3)= (141)
Depreciation= 130
Net operating cash flow= $459
if it takes you one hour and thirty minutes to drive 87 miles, find your average speed
Answer:
How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometres for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.
The average grade Jared received on 4 tests was 94. If he drops his lowest test grade of 85, what will his new average be?
A.72.75
B.76
C.89.5
D.97
Pls help TT
Answer:
total points on the 4 tests- 94x4= 376
376- 85= 291
291/3= D. 97
Answer:
D. 97
Step-by-step explanation:
x = sum of 4 test grades Jared received
[tex]\frac{x}{4} = 94[/tex]
x = 376
If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:
x - 85 --> 376 - 85
= 291
Now that one of his test grades are not considered, this means there are only 3 test grades to consider.
291 must be divided by 3 to get the average:
[tex]\frac{291}{3}[/tex] = 97
The answer is D) 97
You told your friend that you could eat 5/8 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
5/16
Step-by-step explanation:
Given that:
Fraction of claim = 5/8
Amount actually eaten = 1/2 of claim
Amount actually eaten = 1/2 * 5/8 = 5/16
Fraction of large pizza actually eaten is 5 /16
Hence, he ate, 5/16 of large pizza
Answer:
Step-by-step explanation:
5/6
use distributive property
-9(-m+4)
Answer: -9m+-36
Step-by-step explanation:
Answer:
9m-36
Step-by-step explanation:
-9times -m = 9m
-9 times 4 = -36
9m-36
Last year , Henry opened an investment account with 5800. At the end of the year ,the amount in the account had increased by 29.5 how much is this increase in dollars?How much money was in his account at the end of las year?
Answer:
Percent increase in dollar = $1,711Total in account = $7,511Step-by-step explanation:
The money in the account had increased by 29.5%.
This increase in dollars is:
= Amount in account * percentage increase
= 5,800 * 29.5%
= 5,800 * 0.295
= $1,711
The total in his account was therefore:
= Amount invested + increase
= 5,800 + 1,711
= $7,511
solve the equation -2|5w-7|+9=-7
Answer:
w = 3, w = -⅕
Step-by-step explanation:
See attached image
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n=1. 10n+10
Answer:
20,30,40,50,60
Step-by-step explanation:
The sequence is given by the relation as follows :
[tex]a_n=10n+10[/tex]
First term, n = 1
[tex]a_1=10(1)+10=20[/tex]
Second term, n = 2
[tex]a_2=10(2)+10=30[/tex]
Third term, n =3
[tex]a_3=10(3)+10=40[/tex]
Fourth term, n = 4
[tex]a_4=10(4)+10=50[/tex]
Fifth term, n = 5
[tex]a_5=10(5)+10=60[/tex]
So, the first five terms of the sequence are 20,30,40,50,60
HELP ASAP PLSSS 10 POINTS
Answer:
true both
Step-by-step explanation:
i did math
Answer:
False
True
Step-by-step explanation:
because comparing one side it's 2:5
A triangular-shaped sign has a base of 15 ft, and a height of 8 ft. What is the area of the sign?
Answer:
60ft²
Step-by-step explanation:
Area of a triangle = 1/2×base×height
=1/2×15×8
=60
Three friends went to the fair. Each paid $5.00 to enter and went on r rides, paying $0.90 per person for each ride. Which expression shows how many dollars they paid in all? A. 3(0.9) +5r
B. 3(5 + 0.9r)
C. (5) + 0.9r
D.3(5) + 3(0.9)
2.Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earned a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
A.They are both correct, and their expressions are equivalent.
B.They are both correct, and their expressions are not equivalent.
C.Only one of them is correct, and their expressions are equivalent.
D Only one of them is correct, and their expressions are not equivalent.
3. Amanda and Trinity each wrote an expression, but only Amanda's expression is equivalent to 2x + 5. What could be Trinity's expression?
A.2(x+3)-1
B.3x-(x-5)
C.5(x+1)-3x
D.5x-3(x-1)
Answer:
1. B, 2. A, 3. DStep-by-step explanation:
Question 1One off fee: $5Each ride: $0.90Number of rides: rTotal payment:
3(5 + 0.9r)Correct choice is B
Question 2Since
9S + 45 + 9T = 9S + 9T + 45 = 9(S + T) + 45, the expressions are equivalent and therefore both Susan and Tom are correctThe true statement is A
Question 3Let's compare the expressions with Amanda's expression
A. 2(x + 3) - 1 = 2x + 6 - 1 = 2x + 5, equivalentB. 3x - (x - 5) = 3x - x + 5 = 2x + 5, equivalentC. 5(x + 1) - 3x = 5x + 5 - 3x = 2x + 5, equivalentD. 5x - 3(x - 1) = 5x - 3x + 3 = 2x + 3, not equivalent so this is Trinity's expressionFind the solution to the following system using substitution or elimination:
y = 3x + 2
y=-2x - 8
A. (-2,-4)
O B. (-ş; – 34)
O C. (-9,-)
D. (1, -6)
Answer:
A. (-2,-4)
x = -2,
y = -4
thats the only way ik how to explain but its the correct answer
Use the property of parallelograms to solve for the missing variable
Answer:
x = 30, y = 6
Step-by-step explanation:
Here, we want to use the property of parallelograms
mathematically, the lengths of the parallel sides are equal
This mean:
2y + 3 = y + 9
2y - y = 9-3
y = 6
To get x;
Angles that face each other are supplementary; meaning they add up to 180
Thus, we have that
4x + 2x = 180
6x = 180
x = 180/6
x = 30
Julie has a ripe that is 48 feet long. She cuts three pieces of that are each 6 feet long. How many 10 foot pieces can she cut from the rope that is left over?
Answer:
3
Step-by-step explanation:
6*3=18
48-18=30
30/10=3
3