Answer: The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
Step-by-step explanation:
You can create a triangle rectangle between the position of each boy, the bottom of the tower and the top of the tower.
From the left kid (i think is Shively), we have that the top angle (formed between the perpendicular line to the tower and the tower) must be:
A = 90° - 40° =50°
(that is a 90° angle divided by the hypotenuse of the triangle, then if one side is 40°, the other angle should be such that when we add bot angles the sum is 90°)
Now, we want to find the opposite cathetus to this angle, so we can use the relation:
Tan(A) = Opposite cath/adjacent cath.
And we know that the adjacent cathetus, the tower, is 324m long.
then:
Tan(50°) = X/324m.
Tan(50°)*324m = X = 386.1m
now for the other kid (the one in the right, Sparzak), the angle will be 90° - 55° = 35°.
So we have:
Tan(35°) = X/324m
Tan(45°)*324m = 226.9m
then:
The distance from Shively to the tower is 386.1 meters
The distance from Sparzak to the tower is 226.9 meters
The distance from Shively to Spazak is 386.1 m + 226.9m = 616 meters.
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.4° is added to the data, how does the range change?
The range decreases to 46°.
The range stays 48°.
The range stays 49°.
The range increases to 50°.
Answer:
The Range Stays 48°.
Step-by-step explanation:\
Since the value 80.4° is not the highest and not the lowest value on the list, it does not change the range.
Hope this helps!
Answer: B. The range stays 48
Step-by-step explanation:
The largest answer is 105 and the smallest answer is 57. The range is the range of numbers from smallest to largest so to find the range you subtract the largest and the smallest
Range = 105 - 57
Range = 48
The range will not change because if you put 80.4 in there, it's not the largest or smallest so it does not affect the range.
So answer is B. The range stays 48
VALID ANSWERS NEEDED!
Answer two questions about Equations A and B:
A. \(\frac{x}{4}\) + 1 = -3
B. x + 4 = -12
1) How can we get Equation B from equation A?
Choose 1 answer:
A
Rewrite one side (or both) using the distributive property
B
Rewrite one side (or both) by combining like terms
C
Multiply/divide only one side by a non-zero constant
D
Multiply/divide both sides by the same non-zero constant
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
a: yes
b: no
A ___________ represents a relationship between two quantities. Select all that apply.
Answer: correlation
Step-by-step explanation:
Answer:
correlation
Step-by-step explanation:
a post office always charges a flat one time fee for any order. one time, michael sent 35 letters and paid 26 dollars. the next time, he sent 18 letters and paid $14.10. how much does the post office charge to send one letter? what is the flat fee?
Answer:
$0.70 per letter, $1.50 flat fee
Step-by-step explanation:
x+18y=14.1 -> x=-18y+14.1
x+35y=26
|
\/
(-18y+14.1)+35y=26 -> 17y=11.9 -> y=0.7
|
\/
x+35(0.7)=26 -> x+24.5=26 -> x=1.5
|
\/
y=0.7
x=1.5
Hope this helps. :)
The post office charges $0.70 to send one letter, and there is a flat fee of $1.50.
How to determine the the flat fee (F) charged by the post officeTo find the cost of sending one letter, we need to determine the flat fee charged by the post office.
Let's denote the flat fee as 'F' and the cost per letter as 'C'.
From the given information, we can set up the following equations:
Equation 1: F + 35C = 26
Equation 2: F + 18C = 14.10
We can solve this system of equations to find the values of F and C.
First, we subtract Equation 2 from Equation 1 to eliminate F:
(F + 35C) - (F + 18C) = 26 - 14.10
17C = 11.90
Now, we divide both sides of the equation by 17 to solve for C:
C = 11.90 / 17
C ≈ 0.70
Therefore, the cost to send one letter (C) is approximately $0.70.
To find the flat fee (F), we can substitute the value of C into either Equation 1 or Equation 2. Let's use Equation 1:
F + 35(0.70) = 26
F + 24.50 = 26
F = 26 - 24.50
F = 1.50
Therefore, the flat fee (F) charged by the post office is $1.50.
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[WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!]
The state of colorado is 4 cm long and 3 cm wide on a map. A cartographer wants to use a scale factor of 2.5 to enlarge the map. What is the area of the enlarged map?
A:12 square cm
B:30 square cm
C:35 square cm
D:75 square cm
Answer:
D. 75 cm²
Step-by-step explanation:
We are asked to find the area of a scaled map.
What is a Scale Factor?A scale factor is a change in the size, or ratio of a shape, or object.
The value of the scale factor represents how much larger the shape or object will become.
First, let's identify what is given to us.
Given:
The map of Colorado is 4 cm long and 3 cm wide.We have to enlarge the map with a scale factor of 2.5.We should begin by enlarging the map with the given scale factor. In order to find the dimensions of the scaled map, we should multiply the given dimensions of the original map by the scale factor.
Multiply:
\(4 \times 2.5 = 10 \ cm\)
\(3 \times 2.5 = 7.5 \ cm\)
Next, we should find the area of the scaled map by multiply the dimensions together.
\(A = L \times W\)
Multiply:
\(A = 10 \times 7.5\)
\(A = 75 \ cm^{2}\)
The area of the scaled map is D. 75 cm².
20 points to whoever gets these right!! <3
Answer:
1st one 8/20
Step-by-step explanation:
How do you write 8.88 × 101 in standard form?
GIVING BRAINLIEST Katie and Mina both commute to work. Katie's commute on the train takes 10 minutes more than one half as many minutes as Mina's commute by car. It takes Katie 30 minutes to get to work. Write an equation to determine how many minutes it takes Mina to get to work. 30 = one halfx + 10 30 = one halfx − 10 30 = 2x − 10 30 = 2x + 10
Answer:
Simplifying
2x + -10 = 10 + -3x
Reorder the terms:
-10 + 2x = 10 + -3x
Solving
-10 + 2x = 10 + -3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3x' to each side of the equation.
-10 + 2x + 3x = 10 + -3x + 3x
Combine like terms: 2x + 3x = 5x
-10 + 5x = 10 + -3x + 3x
Combine like terms: -3x + 3x = 0
-10 + 5x = 10 + 0
-10 + 5x = 10
Add '10' to each side of the equation.
-10 + 10 + 5x = 10 + 10
Combine like terms: -10 + 10 = 0
0 + 5x = 10 + 10
5x = 10 + 10
Combine like terms: 10 + 10 = 20
5x = 20
Divide each side by '5'.
x = 4
Simplifying
x = 4
dose this help?
Answer:
30 1/2x +10
Step-by-step explanation:
Option A
I had this same question on a quiz and I got it right.
BRAINLIEST PLEASE!!!
Determine the coordinates of the point whose abscissa is thrice the ordinate.
PLS ANS THE QUESTION REAL QUICK.....
Answer:
I think you're missing the question
HEWLPPP PWESEEEEEEEE
Answer:
A
Step-by-step explanation:
A = 6/1
B = 5/6
C = 5/1
D = 1/6
Please can someone help me with this I tried doing it and I got it wrong.
Answer:
I want let me see the download
Step-by-step explanation:
If the room has a square area of 16 square meters and the rug is placed in the middle of the room, how much space would there be between each side of the rug and the wall?
Answer
the space would unknow between each side of the rug and the wall
Step-by-step explanation:
because we don't know how big the room is and what the shape of the room is we have no idea what the answer will be it could be a little less than the distance around the world or it could be no distance cause it is the same size as the room
(also the rug is in the middle of the the room)
x < -9=?
plsssssssssss help
Answer:
any number below -9, or any regular number.
please give brainliest ☻︎
Your mom is repainting your younger brother’s room. She is going to project the image shown below onto his wall so that she can paint an enlarged version as a mural. The length of the image of the train measures 2 inches.
Determine how long the mural will be if the projector uses a scale where 1 inch of the image represents 2 1 half feet on the wall.
Answer:
5 feet
Step-by-step explanation:
????? so confused please help
I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.
Answer:
1/3
Step-by-step explanation:
just convert it?
3/10
Step-by-step explanation:
60% is the same as 60/100
90% is the same as 90/100
90-60=30
30/100
30/100 is divided by 10 on each side to simplify it to 3/10
PLEASE HELP!! WILL MARK BRAINLY!!
What is the equation in slope-intercept form of the line that passes through the points (−12,67) and (8,−1)?
A. y = 175x + 1315
B. y = −175x + 1315
C. y = −517x + 1315
D. y = −175x − 1315
Tiara is already 6 miles down the road, bicycling at 12 mph, when Dmitri starts down the same road, cycling at 16 mph. According to the graph, after how many hours do they meet, and how many miles are they from their starting point?
How much time passes before Tiara and Dmitri meet?
When Tiara and Dmitri meet, how far are they from their starting point?
Answer:
1.5 hours
24 miles
Step-by-step explanation:
Seeing as the point of intersection is at 1.5 hours, we can say that that is the time that passes before they meet. And the starting point answer is 24 miles, hope this helps to all my fellow imagine math users! :D
help me please i dont know what to do
Answer:7.5
Step-by-step explanation:
Volume=L*B*H
=30x
According to question,
Volume=TSA
30x=2(L*B+B*H+H*L)
30x=2(5x+6x+30)
30x=10x+12x+60
30x=22x+60
30x-22x=60
8x=60
x=60/8
x=7.5 (answer)
The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $19 per month plus $0.05 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Answer:
Step-by-step explanation:
wouldn't you do 29 x 19=551+0.05=551.05
Answer:
The number of monthly calls for which Plan 1 is more economical than Plan 2 is 200 calls If more than 200 calls are made, the plan 1 charge will be more than plan 2. Let the number of charges per month be x If plan 2 charges $16 per month plus $0.04 per call, this is expressed as 0.04x + 16 Price that pan 1 charges = $24 If Plan 1 is more economical than Plan 2, this is expressed as:0.04x + 16 > 24 Subtract 16 from both sides:0.04x + 16 - 16 > 24 - 16 0.04x > 8 x = 6/0.04 x = 200 This shows that if more than 200 calls are made, the plan 1 charge will be more than plan 2.
Mika used division to rewrite 5
40
as 0.125. Explain what she should do next to convert 0.125 to a percent.
Answer:
Hello there, and thank you for posting your question here on brainly.
To convert a decimal to a percent, you have to make the decimal a whole number by getting rid of the decimal point, and then at a % sign.
0.125 ===> 125
125 ===> 125%
Hope this helped!!
Step-by-step explanation:
Answer:
125 into a percentage. ... That moves the decimal point up two units, and gives you a percentage. For us, −. 125 becomes −12.5% .
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Please help me.
Eighty percent of the picture frame is glass. A photo shows a picture frame of length 10 and three-fourth inches and width 8 and one-half inches, hanging on the wall. The border of the frame is labeled molding. What is the area of the molding?
Answer:
91.4 inches
Step-by-step explanation:
I will leave the explanation in the comments.
The area of the moulding is; 18 and 11/40 square inches
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Here, we want to get the area of the moulding
we are given that the 80% of the frame is a glass photo
Means 20% of the picture frame will be that of the moulding.
By calculating 20% of the area of the frame, we get the area of the moulding;
43 /4 x 17/2 = 731/8
we have this as;
731/8 divided by 5
= 18 and 11/40 square inches
Learn more about the area;
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1. Twelve large bottles of water cost $9.
How many bottles can you buy for $3?
What is the cost per bottle of water
How much would 7 bottles of water cost?
------------------------------------------------------
2.A 10-pound sack of flour costs $8.
How much does 40 pounds of flour cost?
What is the cost per pound of flour?
-------------------------------------------------------
3. Four bags of chips cost $6.
What is the cost per bag?
At this rate, how much will 7 bags of chips cost?
-----------------------------------------------------------------------
4. At a used book sale, 5 books cost $15.
What is the cost per book?
At this rate, how many books can you buy for $21?
-------------------------------------------------------------------------
5. Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?
Answer:1. $3- 4 bottles, 1 bottle = 4/3 , 7 bottles= 28/3
2. 40 pounds=$32, 1 pound= $8/10
3. Per bag= 3/2, 7bags= 21/2
4. Per book = $3, 21 books= $63
5. Per bracelet = 0.25 cents, 11 bracelets = 2 dollars 75 cents
Step-by-step explanation:
City planners are creating a neighborhood map on a coordinate grid.
The table shows the locations of the park and city hall on a coordinate grid.
Location
Park (-8,5)
City Hall (-8,12)
What is the distance between the 2 locations on the coordinate plane? Enter a number only.
______
If distance between each grid line represents 3 miles, what is the distance between the library and the school? Enter a number only
_____ miles
Answer: (a) -0,38
Step-by-step explanation: subtracts (-8,5) - (-8,12) which is -0,38
Please show me the coordinate grid so I can answer the second question
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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ANSWER QUICK PLSSSSSSSS
Answer:
Step-by-step explanation:
3 ) ∠ BZD = 58° + 90° = 148°
4 ) 2x + 58° + 90° = 180°
2x = 180° - 148°
2x = 32°
x = 16°
Work out the percentage change to 2 decimal places when a price of £99 is increased to £111.
Answer:
12.12%
Step-by-step explanation:
ORIGINAL VALUE=£99
NEW VALUE=£111
CHANGE IN AMOUNT=111-99=12
Here there is percentage increase.
Therefore, Percentage Increase
=(Change in amount/Original Value)*100=(12/99)*100=12.12%
Shawn invites some friends over for pizza and a movie. He makes a small cheese pizza for himself and a large pepperoni pizza for his friends. Shawn uses 0.75 pounds of dough for the cheese pizza and twice as much dough for the pepperoni pizza. How much dough does Shawn use in all?
Answer:
The amount of dough used for the pepperoni will be twice that of the cheese or 2 times the amount of dough.
Step-by-step explanation:
Mathematics VII In the division problem 20 = 0.004, the decimal needs to move how many places to the right?
a) 4
b) 2
c) 3
d) 1