Answer:
9 1/2 inches
Step-by-step explanation:
The scale of a map is the ratio of map distance to represented distance. This can be used to write a proportion.
__
map distance/represented distance = 1 in/(30 mi) = x/(285 mi)
where x represents the map length of the southern border.
Multiplying by 285 mi, we have ...
x = (285 mi)(1 in)/(30 mi) = 9.5 in
The border is 9.5 inches on the map.
Find the interquartile range. 44, 75, 62, 41, 59, 60, 79, 44, 49
Answer:
24.5 is our interquartile range
Step-by-step explanation:
First, you need to order the data set from least to greatest:
41, 44, 44, 49, 59, 60, 62, 75, 79
We have a total of 9 numbers in the data set.
**Note: Our minimum is 41 and our maximum is 79, this is important**
Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.
Our median is the middle number which is 59.
**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**
Our data set without the median:
Data set 1: 41, 44, 44, 49
Data set 2: 60, 62, 75, 79
Now find the median of data sets 1 and 2.
Data set 1: 44+44/2 -> 88/2 =44
Data set 2: 62+75/2 -> 137/2 = 68.5
Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.
68.5 - 44 = 24.5
24.5 is our interquartile range
Rachel made $176 for 11 hours of work.
At the same rate, how many hours would she have to work to make $128?
Answer:
8 hours
Step-by-step explanation:
11 hours = $176
⇒ 1 hour = $176 ÷ 11 = $16
To determine how many hours she would have to work to make $128, divide $128 by $16:
⇒ number of hours = $128 ÷ $16
= 8 hours
___________________________________________________
Calculate[tex]\frac{128\times11}{176}[/tex]
___________________________________________________
Cross out the common factor[tex]\frac{8\times11}{11}\\ 8[/tex]
I hope this helps you
:)
(0 points)
4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.
Answer:
sin A = 8/17.
Step-by-step explanation:
As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.
The side length 15 is the adjacent side to angle A.
First find the length of other side of the right triangle, using the Pythagoras
Theorem:
Opposite side to ange A = √(17^2 - 15^2)
= √64
= 8 units.
sin A = opp side / hyp
= 8/17.
The graph of the equation x ^ 2 + y ^ 2 - 16x + 6y + 14 = 0 is a circle. An equivalent form of this equation is (x - 8) ^ 2 + (y + 3) ^ 2 = M
What is the value of M?
Answer:
author link
ghanami
Ace
2.9K answers
12.1M people helped
hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20
the center is : w(8,-3) and ridus : r = √20
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
Let a represent a non zero rational number and let b represent an irrational number. Which expression could represent a rational number?
The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.
What are rational and irrational numbers?If a number can be represented by a fraction, it is rational, otherwise, it is irrational.
The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.
More can be learned about rational numbers at https://brainly.com/question/10814303
pls help this is important ty <3
Consider the principle
N{A ∪ B} = N{A} + N{B} − N{A ∩ B}.
An interview of 50 women in a residential subdivision reveals that 22 are gardeners while 31 are avid readers. How many are both gardeners and avid readers?
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:[tex]31+22-50[/tex]
____________________________________________
Calculate
[tex]53-50[/tex]
____________________________________________
Calculate the sum or difference
[tex]3[/tex]
I hope this helps you
:)
sales representative can take one of 4 different routes from City B to City E and any one of 4 different routes from City E to City H. How many different routes can she take from City B to City H, going through City E?
Answer:
16
Step-by-step explanation:
4 x 4 = 16 because you have to go through city E
Tickets for a movie cost $8 for evenings and $5 for matinees. They sold 440 tickets sold and collected $3130 in ticket sales.
Determine which system(s) you could use to calculate the number of matinee tickets sold.
a. x + y = 3130
5x + 8y = 440
b. x + y = 440
5x + 8y = 3130
c. x + y = 3130
8x + 5y = 440
d. x + y = 440
8x + 5y = 3130
d is the answer
let the number of tickets be x and y
then the prices are multiplied to the number of tickets.
brayden saves 1500 at a yearly simple interest rate of 2.5. how many years doess it take for the amount he has served to be double the original
I WILL GIVE U 100 POINTS
Answer:
80 years
Step-by-step explanation:
(.025)*n = 2 solve for n
What is the y-intercept of the quadratic function
f(x) = (x – 6)(x – 2)?
(0,–6)
(0,12)
(–8,0)
(2,0)
Answer:
(0,12)
Step-by-step explanation:
B.(0,12)
The width of a rectangle with the area 55in^2 depends on its length. Write the formula that describes the width of the rectangle as a function of its length.
The width of the rectangle as a function of its length is w = 55/l
How to find the area of a rectangle?The formula for finding the area of a rectangle is expressed as:
A = lw
where
l is the length
w is the width of the rectangle
Given that A = 55 square inches, then;
55 = lw
w = 55/l
Hence the width of the rectangle as a function of its length is w = 55/l
Learn more on area of rectangle here; https://brainly.com/question/2607596
Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.
y=1/2x
Solution:The slopes of perpendicular lines are opposite reciprocals of each other.The simplest way to determine a number's reciprocal is to flip it over, like so:[tex]-2 ~ - > -\displaystyle\frac{1}{2}[/tex]Now, change the sign:[tex]\displaystyle\frac{1}{2}[/tex]So we have the slope of the line that's perpendicular to the given line.Now, let's find the line's equation.First, let's write it in Point-Slope Form:y-y1=m(x-x1)y-(-2)=1/2(x-4) y+2=1/2x-2 (Point slope)Now, convert to slope-intercept:y=1/2x+2-2y=1/2xHope it helps.
Do comment if you have any query.
Answer:
y=1/2x
Step-by-step explanation:
Naoya read a book cover to cover in a single session, at a rate of
55
5555 pages per hour. After reading for
4
44 hours, he had
330
330330 pages left to read.
How long is the book?
Answer:
550pages and 10 hours
Step-by-step explanation:
What is the Area of the circle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Area of circle :
[tex]\qquad \sf \dashrightarrow \:\pi r {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:12.25 \: \pi[/tex]
[tex]\qquad \sf \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]
Answer:
38.465 units²
Step-by-step explanation:
The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.
Substituting the radius in the formula:
⇒ πr²
⇒ π(3.5)² [Radius (r) = 3.5 units]
Evaluating the area:
⇒ π x 12.25
⇒ 3.14 x 12.25
⇒ 38.465 units²
A rectangular sheet of metal measures 8 inches by 12 inches. The metal is worth $2.00 per square inch. How much is the sheet of metal worth?
Answer:
Step-by-step explanation:
Find the area of the sheet metal
Area = L * w
L = 12
w = 8
Area = 12 * 8
Area = 96 square inches.
Find the value of the sheet metal
1 square inch costs $2.00
96 square inches cost 2 * 96 = $192.00
What's the answer to 0.02x + 0.1 (6000) = 0.08 (x + 6000)
Answer:
X=2000
Step-by-step explanation:
[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]
[tex]0.02x + 600 = 0.08x + 480[/tex]
[tex]600 - 480 = 0.08x - 0.02x[/tex]
[tex]120 = 0.06x[/tex]
[tex]x = \frac{120}{0.06} [/tex]
[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]
[tex]x = \frac{120}{6} \times 100[/tex]
[tex]x = 20 \times 100 = 2000[/tex]
X=2000
−6146.153846154
Step-by-step explanation:
0.02x+6=0.8(x+6000)
0.02x+6=0.8x+4800
0.02x+6−0.8x=4800
−0.78x+6=4800
−0.78x=4800−6
−0.78x=4794
x=4794/-0.78
x=479400/-78
x=- 79900/13
Which letter on the number line represents one and eighty five hundredths?
A number line partitioned into tenths, starting at zero and ending at five. There are nine tick marks between each whole. There is a dot labeled A between the fifth and sixth tick mark after zero. A dot labeled B is between the eighth and ninth tick mark after one. A dot labeled C is between the fourth and fifth tick mark after 2. A dot labeled D is between the second and third tick mark after 3. A dot labeled E is between the seventh and eighth tick mark after three. A dot labeled F is between the fifth and sixth tick mark after four.
A
B
C
D
Do you think you could attach a photo?
TrianglesABC and DEF are
Similar
Not similar
Answer:
Similar
Step-by-step explanation:
We can say that the triangles are similar by looking at the angle measurements
Angle B = 35
Angle F = 55
Both angles A and D = 90 because these are right triangles
We can say the measure of angle E = 35 because the sum of angles in a triangle equal to 180
Same rule applies to angle C
Can someone Help me please
Answer:
y = x + 6
Step-by-step explanation:
The y-intercept is 6
and the slope is the change in y over the change in x, which is 1
So, use the equation y = m*x + c
m is the (slope) = 1
c is the (y-intercept) = 6
Your answer is: y = x + 6
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
What is the measure of angle A in the triangle below?
us
B
18
9
A
A
С
30°
o 45°
60°
90°
To find the measure of Angle A, we'll need to use a trigonometric function.
Remember: SOH-CAH-TOA
Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.
sin(A) = 9 / 18
---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()
The inverse sin of 1/2 = 30
Answer: first option, 30 degrees
Hope this helps!
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam Students who score in the top 26 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly
recognized?
Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Pls figure out the question
Answer:
w=2
Step-by-step explanation:
Step-by-step explanation:
first simplified by dividing both sides by -5.
then, at
w - 5 = -3
add 5 to both sides.
and we get
w = 2
Julie goes to a carnival with $24 to spend. Admission cost six dollars, and each ride is an additional cost. After paying for admission, she has enough money left to go on exactly 9 rides. She decide she wants to play to carnival games, the Games cost three dollars each. Julie also buy snacks that cost $3.50. How much more money, in dollars, does Julie need to go on five rides?
Answer:
$1.50
Step-by-step explanation:
24 - 6 = 18
18/9 = cost of 1 ride
cost of 1 ride = $2
2 carnival games = 3 x 2 = $6
18 - 6 = 12
12 - 3.5 = $8.50
five rides cost = 5 x $2 = $10
10 - 8.5 = $1.50
The dimensions of a hexagon shaped bedroom are apothem = 5 and side length = 11. Find the area of the bedroom on the floor plan.
Answer:
165
Step-by-step explanation:
area of a hexagon = 1/2 × apothem × perimeter
to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )
given side length = 11
so perimeter = 6 × 11 = 66
now to find area
remember area = 1/2 × apothem × perimeter
given apothem = 5 and perimeter = 66
so area = 1/2 × 5 × 66
1/2 × 5 = 2.5
2.5 × 66 = 165
Fill in the blanks below with the correct units. (a) John's desk is about 2 ? long. (b) Milan used a fork that had a mass of about 28 ? . (c) Rita poured about 10 ? of medicine onto a spoon.
Answer:
Blank 1. is 2 feet
Blank 2. is 28 grams
Blank 3. is 8 mililiters
Step-by-step explanation:
solve .-. ~
[tex] \\ \\x - \frac{1}{2} \geqslant 43 \\ [/tex]
thankyou .-.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \tt \dashrightarrow \:x - \dfrac{1}{2} \geqslant 43 [/tex]
[tex]\qquad \tt \dashrightarrow \:x \geqslant43 + \dfrac{1}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{86 + 1}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:x \geqslant \dfrac{87}{2} [/tex]
hope this helps Belinda aunty ~
find the value of x super easy 7th grade math
Answer:
x = 50 degrees
Step-by-step explanation:
all the angles of a triangle add up to 180
a right angle is ninety degrees
90 + the 40 degrees on the top is 130 degrees
180 - 130 is 50
x = 50
Answer:
50°[tex] \: [/tex]
Step-by-step explanation:
Before finding the value of x, we must know this first.
[tex] \\ \longrightarrow \qquad { \underline{ \boxed{ \pmb{ \frak{Sum \: of \: all \: \: angles_{(Triangle)} = 180 {}^{ \circ} }}}}} \: \: \bigstar \\ \\ [/tex]
This is a right angled triangle so,
[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ \angle \: 1 +\angle \: 2 + \angle \: 3= {180}^{ \circ} }}}}} \\ \\ [/tex]
[tex]\longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {90}^{ \circ} + {40}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]
Adding like terms we get :
[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} = {180}^{ \circ} }}}}} \\ \\ [/tex]
Subtracting 130° from both sides :
[tex] \\ \longrightarrow \qquad { { { \pmb{ \sf{ x^{ \circ} + {130}^{ \circ} - {130}^{ \circ} = {180}^{ \circ}- {130}^{ \circ}}}}}} \\ \\ [/tex]
[tex]\longrightarrow \qquad { \underline { \boxed{ \pmb{ \frak{ x^{ \circ} = {50}^{ \circ}}}}}} \: \: \bigstar\\ \\ [/tex]
Therefore,
The value of x° is 50°Graphs of the following equations are straight lines EXCEPT
A 3x + 2y = 8
B
y = x/2 - 5
С
X = 4y
Dy=x2 + 3
As per linear equation, option-A and option-B are the equations of straight line.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given equations are:
A. [tex]3x + 2y = 8[/tex]
It is an equation of a straight line as it matches the standard form of a linear equation.
B. [tex]y = \frac{x}{2} - 5[/tex]
This is also an equation of a straight line as it matches the standard form of a linear equation.
C. [tex]y = x^{2} + 3[/tex]
It is not an equation of a straight line as it does not match the standard form of a linear equation.
Learn more about a linear equation here: https://brainly.com/question/11897796
#SPJ2
please help, there is a picture.
Answer:
B (2.5, -0.5)
