[tex]31250 \div 500 = 62.5[/tex]
[tex]31250 \div 250 = 125[/tex]
[tex]31250 \div 125 = 250[/tex]
[tex]31250 \div 175 = 178.5[/tex]
The model should be scaled so that 1 centimeter equals 250 miles.
The scale that need to be used to make the model is 1 centimeter equals 250 miles.
Calculation of the scale:Since The actual diameter of Uranus is 31,250 miles. In a scale drawing of the solar system, the diameter of Uranus is 125 centimeters.
So, the scale should be
[tex]= 31250 \div 125[/tex]
= 250 miles
Hence, The scale that need to be used to make the model is 1 centimeter equals 250 miles.
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Someone help fast! please
Answer:
48cm
Step-by-step explanation:
96/12=8
This means that 8 is the factor by which the diagram and the actual ramp vary
so then you multiply 8 times the height on the diagram to find the true height
8x6=48
What is the image of the point (3,2)(3,2) after a rotation of 90^{\circ}90 ∘ counterclockwise about the origin?
Answer: = (-2,3)
Step-by-step explanation:
Rotation is a transformation of a figure by rotating it for a specific angle about a fixed point.Here, fixed point = origin = (0,0)
Transformation rule for rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin:
[tex](x,y)\to (-y,x)[/tex]
Then, the image of the point (3,2) = (-2,3)
Hence, the image of the point (3,2) after a rotation of [tex]90^{\circ}[/tex]counterclockwise about the origin = (-2,3)
Answer: The answer is -2,3 because 90 degrees of the orgin :) enjoy
Step-by-step explanation:
show work and answer the question!! will mark brainliest
X=1 Y=0
Y-12X+15+3X^2-16X+13-Y=3X^2
-12X+15-16X+13=0
-28X+28=0
X=1
Y=3-16+13=0
A 4 sided polygon has diagonals that are perpendicular. The adjacent sides are congruent. What is the best name for the polygon?
1. Parallelogram
2. Rhombus
3. Isosceles Trapezoid
4. Kite
Answer:
A Kite
Step-by-step explanation:
I know, almost 2 years late. It's a kite and I don't know why.
1.) The _____ value of your ordered pair is the input
2.) The _____ value of your ordered pair the output
If water freezes at 0ᴼC, which temperature is above freezing
Answer:
32 F
Step-by-step explanation:
Out of a total of 3000 available parking spaces in a mall
parking lot, 1875 are taken. What percent of the parking
spaces are taken?
Answer:
62.5% of the parking spaces are taken.
Step-by-step explanation:
Given
Total Spaces = 3000Taken paces = 1875To determine
What percent of the parking spaces are taken?
The percentage of taken spaces of the part can be determined using the formula
% of Taken spaces = [Taken spaces / Total Spaces ] × 100
= [1875 / 3000] × 100
= 0.625 × 100
= 62.5%
Therefore, 62.5% of the parking spaces are taken.
The drama club is having a car wash as a fundraiser. They wash x cars at $5 each
and y trucks at $8 each. They will wash at least 26 cars and 15 trucks. They need to
make at least $250. Which system describes this situation?
Answer:
x + y ≥ 26 + 15
5x + 8y ≥ 250 (see below)
Step-by-step explanation:
First, write an equation to represent the total cost to wash cars:
$5x = cost for cars
Then, write another for trucks:
$8y = cost for trucks
If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:
This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:
x + y ≥ 26 + 15
Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:
If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:
5x + 8y ≥ 250
Now you have your system of equations:
x + y ≥ 26 + 15
5x + 8y ≥ 250
A = 64 cm
ABC
A = 225 cm
In the diagram, how would you determine the length of the hypotenuse using the Pythagorean Theorem?
А
Find the area of the triangle then apply Pythagorean Theorem
B
Subtract the area of the squares and then apply Pythagorean Theorem
С
Add the areas of both squares together and then apply Pythagorean Theorem
D
Find the lenath of one side of each square and then apply the Pythagorean Theorem
Answer:
The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.
Step-by-step explanation:
Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)
The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.
Given :
Area of the small square is 64 [tex]\rm cm^2[/tex].Area of the larger square is 225 [tex]\rm cm^2[/tex].The side length of the smaller square can be calculated as:
[tex]a^2 = 64[/tex]
a = 8
The side length of the larger square can be calculated as:
[tex]b^2 = 225[/tex]
b = 15
So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.
[tex]\rm H^2=P^2+B^2[/tex]
Now, substitute the values of known terms in the above expression.
[tex]\rm H^2=(8)^2+(15)^2[/tex]
[tex]\rm H = \sqrt{64+225}[/tex]
H = 17 cm
Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.
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ZA and ZB are vertical angles. If m_A = (4x – 13)° and m
ZB = (3x + 19)', then find the measure of ZA.
Answer:
115 degrees
Step-by-step explanation:
Vertical angles are congruent by the vertical angles theorem.
Hence,
<A=<B
4x-13=3x+19
x=32
Substituting 32 in for x in <A
4(32)-13= 115
factor z^3 - 2z^2 + 9z-18
10 POINTS!!!!
Answer:
(z - 2) (z^2 + 9)
Step-by-step explanation:
Factor the following:
z^3 - 2 z^2 + 9 z - 18
Hint: | Factor pairs of terms in z^3 - 2 z^2 + 9 z - 18 by grouping.
Factor terms by grouping. z^3 - 2 z^2 + 9 z - 18 = (z^3 - 2 z^2) + (9 z - 18) = z^2 (z - 2) + 9 (z - 2):
z^2 (z - 2) + 9 (z - 2)
Hint: | Factor common terms from z^2 (z - 2) + 9 (z - 2).
Factor z - 2 from z^2 (z - 2) + 9 (z - 2):
Answer: (z - 2) (z^2 + 9)
how do i do this 0.7x = 1.8 − 0.4x
Answer:
x = 1.636364
x = 1.64 (simplified)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
0.7x=1.8−0.4x
0.7x=1.8+−0.4x
0.7x=−0.4x+1.8
Step 2: Add 0.4x to both sides.
0.7x+0.4x=−0.4x+1.8+0.4x
1.1x=1.8
Step 3: Divide both sides by 1.1.
1.1x/1.1=1.8/1.1
x=1.636364
x = 1.64 (simplified)
Answer:
x = 1.636364
Explanation:
0.7x = 1.8 − 0.4x
Simplify both sides of the equation0.7x = 1.8 − 0.4x
0.7x = 1.8 + −0.4x
0.7x = −0.4x + 1.8
Add 0.4x to both sides0.7x + 0.4x = −0.4x + 1.8 + 0.4x
1.1x = 1.8
Divide both sides by 1.1
1.1x / 1.1 = 1.8 / 1.1
x = 1.636364- PNW
Olivia and Ray walk to school. Olivia walks 1 4of a mile to school. Her walk is 2 3of the distance that Ray walks to school. What is the total distance, in miles, that Ray walks to school?
Answer:
ray walks 3/8th of a mile
Step-by-step explanation:
1/4 multiplyed by 2/3 and you will get 3/8
graph 2x=2y plssssssss
Answer:
4xy
Step-by-step explanation:
2 x 2 = 4, then just plop the x and y down, and there's your answer
EASY ALGEBRA! HELP PLEASEEE <3
Fill in the blank with a number to make the expression a perfect square.
v²-14v+__
(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!
Heather performs an experiment to measure the acceleration of an object due to earths gravitational and discovers the acceleration of an object is 10.91 meters per second. The actual acceleration of the object is 9.80 meters per second.
The percentage error in the acceleration is 11.3%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The actual acceleration of the object is 9.80 meters per second.
The acceleration of an object is 10.91 meters per second.
Now,
Percentage error.
= (Experiment acceleration - Actual acceleration) / Actual acceleration x 100
= (10.91 - 9.80) / 9.80 x 100
= 1.11 / 9.80 x 100
= 11.33 %
Thus,
The percentage error is 11.3%.
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The perimeter of an airplane ticket is 36 centimeters. The area is 80 square centimeters. What are the dimensions of the ticket?
Answer:
ent4kww
Step-by-step explanation:
rr
you are renting a moving truck for a day. There is a dailyfee of $20 and a charge of $0.75 per mile. Your budget allows a maximum total cost of$65. Write and solve an inequality that represents the number of miles you can drive the truck?
Answer:
its 6900000
Step-by-step explanation:
6hue and 388
A and B are two cylinders that are mathematically similar.
The area of the cross-section
of cylinder A is 18 cm².
(18 cm
B.
10 cm
A
5 cm
Work out the volume of cylinder B.
Answer:
Volume is 718 cm^3
Step-by-step explanation:
We need to get the radius of cylinder A
From the base area,
we have that;
A = pi * r^2
18 = 3.142 * r^2
r^2 = 18/3.142
r^2 = 5.73
r= √5.73
r = 2.39
If two shapes are similar, we have the ratio of their corresponding sides equal;
Thus;
2.39/5 = x/10
x = (10 * 2.39)/5
x = 4.78 cm
To get the volume, we use the formula
V = pi * r^2 * h
V = 3.142 * 4.78^2 * 10
V = 717.8 cm^3
This is approximately 718 cm^3
Please help I’m running out of time!!!
After which event did General Douglas MacArthur take command of the US Army in the Pacific?
The Japanese invaded the Philippines.
O The US won the battle of Midway Island.
O The US and Japan fought for Guadalcanal.
O The Japanese almost won the battle of Iwo Jima.
Answer:
The answer is Battle of Midway
Step-by-step explanation:
All of the following are equivalent except____.
4y
(4)(y)
4•y
4+y
Answer:
All the options are equivalent except;
4 + y
Step-by-step explanation:
The question relates to the number of ways the operation of a multiplication operation can be represented algebra
1) The coefficient of a variable is a multiplier of the variable
Therefore;
4y = 4 × y
2) When given two numbers or variables in a mathematical expression that are separated by parenthesis, then it is an indication that the two numbers are meant to be multiplied
Therefore;
(4)(y) = 4 × y
3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities
Therefore;
4·y = 4 × y
However, multiplication, and addition are different mathematical operations that produce different results when applied;
Therefore;
4 + y ≠ 4 × y.
Given that € 1 = £0.72
b) What is the £ to € exchange rate?
A cylinder has a radius of 3 in and a volume of approximately 136.78 in? What is the height of the cylinder?
Round to the nearest tenth.
Answer:
4.835(I don't know unit.(m/in/cm)
Step-by-step explanation:
volume=πr^2h
136.78=22÷7×3^2×h
h=136.78×7÷(22×9)=4.835
Write the equation of the line that is parallel to y+2=5(x-1) and passes through the point (-1, 0)
Answer:
Step-by-step explanation:
slope of required line=5
point is (-1,0)
reqd. eq. of line is
y-0=5(x-(-1))
y=5(x+1)
y=5x+5
What is the absolute value of -7?
1/7
-1/7
-7
7
Answer:
7 :)
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
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X - y = 4
X + y =8
The x-coordinate of the solution to the system shown is
1. 12
2. 4
3. 6
4. 2
Answer:
3. 6
Step-by-step explanation:
X - y = 4 ( Equation 1 )
X + y =8 ( Equation 2 )
equation 1 + equation 2
; 2x = 12
x = 12÷2
x =6
hope it helps ☺️
Answer: n=6
Step-by-step explanation:
What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
It costs $15.50 per hour to rent a scooter and $22.80 per hour to rent a watercraft. Use the expression 15.5s + 22.8w to determine how much it would cost to rent a scooter for 3.5 hours and a watercraft for 1.75 hours.
Answer:
94.15
Step-by-step explanation:
15.5 x 3.5= 54.25
22.8 x 1.75= 39.9
54.25+39.9=94.15
Consider the following graph, which shows a bookstore’s sales over the course of one day.
A graph titled Book Sales by Genre has genre on the x-axis and Number sold on the y-axis. Romance, 52; horror, 55; Fantasy, 60; Biograph, 57; Humor, 58; Cookbook, 54.
By percent, how much smaller does the sale of horror books appear to be than the sale of fantasy books? How much smaller is it in reality?
a.
Horror sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller.
b.
Horror sales appear to be only 80% of fantasy sales, but they are actually only about 4% smaller.
c.
Horror sales appear to be only 67% of fantasy sales, but they are actually only about 15% smaller.
d.
Horror sales appear to be only 20% of fantasy sales, but they are actually only about 13% smaller.
Answer:
A. Horror sales appear to be only 50% of fantasy sales, but they are actually only about 8% smaller.
Horror sales appear to be only 20% of fantasy sales, but they are actually only about 13% smaller which is option D.
What is a Graph?
This can be defined as a pictorial representation of data or variables in an organized manner.
From the graph, we can infer that horror sales appear to be only 20% of fantasy sales, but they are actually only about 13% smaller which is the sales over the course of one day.
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