=======================================================
Explanation:
1 unit along the grid represents 5 feet in real life.
A 1 unit by 1 unit square on the graph paper represents a 5*5 = 25 square foot area in real life.
This means we multiply by 25 when going from the floor plan's area to the real world area.
44*25 = 1100 square meters is the area of the room in real life when the floor plan says the area is 44 sq units.
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
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
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.
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
:)
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°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:
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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:
Please help will give brainliest
Answer:
<1=104
<2=76
<3=76
<4=104
<5=104
<6=76
<7=76
<8=104
Step-by-step explanation:
So, the angles are all vertical to the one across it.
That makes <2 to be 76.
76(2)+2(<1)=360,
2(<1)=208
<1=104
You also know that the two lines are parallel, making the ones above/below it equal.
That makes <7 AND <6 to be 76 as well.
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
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
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
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
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:
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
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
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
please help, there is a picture.
Answer:
B (2.5, -0.5)
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:
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
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
pls help this is important ty <3
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 ~
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!
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 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)
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
:)
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?
(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.
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:
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
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
