Given:
On a map, the scale shown is 1 inch : 5 miles.
Area of park = 75 square miles.
To find:
The area of the park on the map.
Solution:
Ratio of the areas of similar figures is equal to the ratio square of their corresponding sides.
[tex]\dfrac{\text{Area of park on the map}}{\text{Actual area of the park}}=\dfrac{\text{Side of park in map}^2}{\text{Actual side of park}^2}[/tex]
Let A be the area of the park on the map.
[tex]\dfrac{A}{75}=\dfrac{1^2}{5^2}[/tex]
[tex]A=\dfrac{1}{25}\times 75[/tex]
[tex]A=3[/tex]
Therefore, the area of the park on the map is 3 square inches.
I really need a tutor, but I don’t have the option, help:(
Answer:
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Step by Step Explanation:
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How do I find the answer
Answer:
19-13=6+1=7-14=-7+4=-3
Step-by-step explanation:
Which of the following is a true statement about the angles in the figure below?
Answer:
The statement which is true about the angles in the figure is;
The measure of Angle 4 is 137 degrees
Step-by-step explanation:
From the question diagram, we have;
The interior angles of the triangle are;
43°, 56°, and ∠1
Therefore, by the angle sum theorem, we have;
∠1 = 180° - 43° - 56° = 81°
∠1 = 81°
The measure of ∠1 is 81°
By the sum of angles on a straight line, we have;
∠1 + ∠2 = 180°
∴ 81° + ∠2 = 180°
∠2 = 180° - 81° = 99°
The measure of ∠2 is 99°
Similarly, for the angles 56° and ∠3 which are on a straight line, we have;
56° + ∠3 = 180°
∠3 = 180° - 56° = 124°
The measure of ∠3 is 124°
For the angles 43° and ∠4 which are on a straight line, we have;
43° + ∠4 = 180°
∠4 = 180° - 43° = 137°
The measure of ∠4 is 137°
Therefore the true statement is the measure of angle 4 is 137 degrees.
joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP
Answer:
If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.
Step-by-step explanation:
By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.
please show your work.
Answer:
1. 8.19, 2. 25.96, 3. 3.95
Step-by-step explanation:
use soh cah toa
1. cos is adjacent/hypotenuse
cos73=x/28
multiply both sides by 28
28cos73=x=8.186
2. sin is opposite over hypotenuse
sin68=x/28
multiply both sides by 28
28sin68=x=25.961
3. sin is opposite over hypotenuse
sin26=x/9
myltiply both sides by 9
9sin26=x=3.945
#9 Please help me with this question
Answer:
Now I might be wrong but I think it is A
Step-by-step explanation:
Write an equation of the line with a slope of −7 and y-intercept of 1.
Answer:
y = -7x + 1
Step-by-step explanation:
Remember the formula for slope-intercept form: y = mx+ b
m is equal to the slope value
b is equal to the y-intercept value
Meaning, when you substitute the values in, you get:
y = -7x + 1
Answer:
y = -7x - 1 is the desired equation.
Step-by-step explanation:
Choose the form of the equation of a straight line that requires the least amount of work. In this particular case we are given the slope (-7) and the y-intercept (1), and so use the slope-intercept form y = mx + b:
y = -7x - 1 is the desired equation.
Does anyone know how to do 3 & 4
Answer:
3. HGK
4. k=17
Step-by-step explanation:
A washing machine can hold kg of laundry in each load. If Randy has
6 kilograms of laundry, how many loads does he need to do?
Answer:
6 loads
Step-by-step explanation:
Answer:
she will need to do 6 loads
the diagram shows a door that has a window in it. the front faces of the door and the window are similar rectangles the dimensions shown. what is the height of the window in centimeters?
Answer:
Step-by-step explanation:
Hey can you help me fast!!
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
4
Answer:
5.7 unit
Step-by-step explanation:
From the question,
Applying pythagoras theorem,
a² = b²+c²....................... Equation 1
From the diagram.
a = /QX/, b = /XR/, c = /RQ/
Given: b = /XR/ = 4 units, c = /RQ/ = 4 units.
Substitute these values into equation 1
a² = 4²+4²
a² = 16+16
a² = 32
a = [tex]\sqrt{32}[/tex]
a = 5.7 units
Hence, QX = 5.7 units
Someone please help me ASAP !!!!!!
Answer:
No, as the one becomes x^2/x^3 and the other is x^3/x^2, which is not equivalent.
Step-by-step explanation:
Home Depot is delivering washing machines to buyers. The washing machines are rectangular prisms that measure 5 ft x 5 ft x 6 ft. These machines are then packed into a delivery truck with dimensions of 30 ft x 15 ft x 12½ ft.
What is the volume of a washing machine Please show work
Step-by-step explanation:
Volume of Washing machine = Volume of Rectangle
= Length x Width x Height
= 5 x 6 x 6
[tex] = 180ft^{3} [/tex]
If x=6 and y=−2, evaluate the following expression:3x+4y
7
Step-by-step explanation:
3(5)+4(-2)
15 +-8
=7
hope this helped
Answer:
10
How did i get the answer?
3x +4y
3(6) + 4 (-2)
18 + (-8)
10
given the a^b=x, evaluate the following.
a^b+2
Answer:
22+2
22+2
=6
Step-by-step explanation
hope this is right
PLEASE HELP ME WITH PROOFS . DONT ANSWER IF YOU DONT KNOW. BRAINLY FOR CORRECT ANSWER
Step-by-step explanation:
Does this help?
What is the angle of elevation to the nearest tenth of a degree to the top of a 55ft building from 95ft away? Please help fast.
Answer:
30.1°
Step-by-step explanation:
Let A = angle of elevation
tan A = 55/95
A = arctan 55/95
= 30.1°
Which of the following statements would be supported by both a communist and a utopian socialist?
A. A classless society can be brought about in Europe without a violent revolution.
B. The gains of the industrial revolution should be shared by all members of society. C. Governments have no right to restrict the actions of businesses or customers.
D. A government should restrict the number of imports and exports to protect its gold reserves.
Answer:
A
Step-by-step explanation:
:)Answer:
B. The gains of the industrial revolution should be shared by all members of society.
Step-by-step explanation:
Communists were opposed to the power that the wealthy bourgeoisie had, who controlled the means of production.
Instead, Communists wanted the proletariat (working class) to control the means of production, in order to create a more even distribution of wealth and power in society.
So, they supported making the Industrial Revolution's benefits shared by society.
Utopian socialists also would support this, as they also supported public ownership of the means of production.
The correct answer is B.
A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kilograms each. The owner has 4 weights, and they weigh 28 kilograms in all. How many of each color weight does he have?
Answer:
The store owner has two of each color weights
Step-by-step explanation:
3. Janice raked leaves for 4 hours and
earned $30. What is Janice's pay rate
for raking leaves?
A $6.75 per hour
B $7.25 per hour
c $7.50 per hour
D $7.75 per hour
Answer quick plzzz
Answer:
£7.50 per hour
answer: c
Step-by-step explanation:
hope this helps!
have a good day :)
Help.Right answer gets brainliest.
Answer:
D it should be D i had a similar question
Which angle type is NOT shown in the diagram?
A) acute
B) obtuse
C) right
D) straight
On Tuesday, Lisa spent $35.78 at the
grocery store. Later in the week, she
returned. At the end of the week, she
had spent $96.52 at the grocery
store. How much did Lisa spend on
her second trip?
Answer:
$60.74 on the second trip.
Step-by-step explanation:
Well we know that she spent $35.78 on the first trip.
We DON’T know how much she spent for the second trip so lets put it as “x” for unknown.
We know she spent a TOTAL of $96.52 for those two trips combined.
So we can make a simple equation
35.78+x=96.52
Now solve the equation.
Subtract 35.78 on both sides to isolate the X
35.78-35.78=0
96.52-35.78= 60.74
So if you plug everything in
0+x=60.74
0 is nothing so we can get rid of that
x=60.74
HELPPPPP The graph (shown in red) below shows the solution set of which inequality?HELPPP ME PLSSS ASAPP
NEED HELP i dont know how to do this and i need to turn in soon
Answer:
f(-1) = 0 and f(4) = 0
Step-by-step explanation:
look at graph to see what point(s) is/are intersecting the y-axis, then use the y-value of the ordered pair
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teach me it because i need to show my work, thank you
Answer:
FV= 1,000*(1.12^n)
Step-by-step explanation:
Giving the following information:
Initial investment= $1,000
Increase rate= 12% = 0.12
We need to formulate an exponential equation to show the value in n years.
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+i)^n
Being:
FV= Future Value
PV= Initial Investment
i= increase rate
n= number of periods
FV= 1,000*(1.12^n)
For example, for one year:
FV= 1,000*(1.12^1)
FV= $1,120
For 3 years:
FV= 1,000*(1.12^3)
FV= $1,404.93
PLEASE HELP THIS IS URGENT!!!!!!!
Answer:
b
because the square tote works
Step-by-step explanation:
next
Each wooden letter block is sold according to size. What is the volume of the letter shown?
O A. 48,000 mm
o
B. 16,000 mm
C. 24,000 mm
O
D. 28,000 mm
Answer:
24000
Step by step
20×10×80 = 16000+ 40×10×20=8000 = 24000
Heya!
[tex] \underline{ \underline{ \text{QUESTION : }}}[/tex] In the given quadrilateral PQRS, the mid-points of the sides PQ , QR , RS and SP are A , B , C and D respectively. Prove that ABCD is a parallelogram.
Answer:
See Below.
Step-by-step explanation:
We are given that A, B, C, and D are the midpoints of sides PQ, QR, RS, and SP, respectively.
And we want to prove that ABCD is a parallelogram.
By the definition of midpoint, this means that:
[tex]SD\cong DP, \, PA\cong AQ, \, QB\congBR, \, \text{ and } RC\cong CS[/tex]
To prove, we can construct a segment from S to Q to form SQ. This is shown in the first diagram.
By the Midpoint Theorem:
[tex]DA\parallel SQ[/tex]
Similarly:
[tex]CB\parallel SQ[/tex]
By the transitive property for parallel lines:
[tex]DA\parallel CB[/tex]
Likewise, we can do the same for the other pair of sides. We will construct a segment from P to R to form PR. This is shown in the second diagram.
By the Midpoint Theorem:
[tex]AB\parallel PR[/tex]
Similarly:
[tex]DC\parallel PR[/tex]
So:
[tex]AB\parallel DC[/tex]
This yields:
[tex]DA\parallel CB\text{ and } DC\parallel AB[/tex]
By the definition of a parallelogram, it follows that:
[tex]ABCD\text{ is a parallelogram.}[/tex]
Answer:
this is your answer look it once