Answer:
6.47
1.618 x 4 = 6.47
Step-by-step explanation:
Answer:
The length of golden rectangle is 6.5 cm.
Step-by-step explanation:
Definition of golden rectangle
The Golden Rectangle, also known as the perfect rectangle by some, is a rectangle with the Golden Ratio as its length to width ratio. Many people consider this to be one of the most visually appealing geometric shapes. Many works of art and architecture contain it.
Given the width of golden rectangle= 4 cm
and the golden ratio= 1.618
The golden ratio is the ratio of length and width [tex]l/b=1.618[/tex]
[tex]l=1.618*b\\=1.618*4\\=6.472 cm[/tex]
Now length of the rectangle is up to nearest tenth point=6.5 cm
Hence the length= 6.5 cm
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HELP ME PLEASEEEEEEEEEEEE
Answer:
The area is 112.
Step-by-step explanation:
14 x 16 = 224
224/2 = 112
make a flow chart showing that the two triangles are congruent. NO LINKS!
Answer:
Step-by-step explanation:
I take it the unmarked angle on the top triangle should be Q
The way the triangles are marked the following are the statements.
<Q = < X Given
RQ = XZ Given
XY = PQ Given
Is the angle included between the two given sides?
If yes then the Two Triangles are congruent by SAS
If no then the Two Triangles cannot be conclusively known to be congruent.
I have to leave you to figure out the flow chart symbols. I have no way of showing this as a flow chart if it is a computer program flow chart.
What is the answer to this question
HELP ME PLEASEEEEEEEEEEEE
Answer:
20 feet
Step-by-step explanation:
[tex]1)\ A = \frac{b * h}{2}[/tex]
[tex]2)\ 120 = \frac{12b}{2}[/tex]
[tex]3)\ 12b = 240[/tex]
[tex]4)\ b = 20[/tex]
URGENT PLZ HELP
use the graph to write an equation of the line
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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The area of a square is 144 in.2
What is the length of one side of the square?
Answer:
12 inches
Step-by-step explanation:
Find the square root
144² ÷ 2 = 12
Therefore, the length of one of the sides of the board with an area of 144 sq. in is 12 inches.
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
Which of the following would be in the solution set for x < 4
Group of answer choices
4
-4
4.2
4.002
Answer:
- 4
Step-by-step explanation:
The set of all possible value that would make the above statement true must be less than 4.
Therefore the only option we have is -4
Can somebody please help me out please my grads are bad
Step-by-step explanation:
Starting from the upper left in the clockwise direction:
congruent: no
similar: no
upper right side:
congruent: yes
similar: yes
lower right side:
congruent: no
similar: yes
lower left side:
congruent: yes
similar: yes
PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.
What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 213
c. 185.4
d. 205.
Answer:
D) 205
Step-by-step explanation:
Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)
Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3
Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100
So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)
= 83 - 10 + 24 + 110 = 207
The closest to this calculated estimated figure ie 207, is 205.
Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]1\ hr = 10\ miles[/tex]
Required
The graph that shows the number of miles in x hours
We have:
[tex]1\ hr = 10\ miles[/tex]
Multiply both sides by x
[tex]x * 1hr = 10miles * x[/tex]
[tex]xhr=10x\ miles[/tex]
So, the function is:
[tex]f(x) =10x[/tex]
How far from the base of the house do you need to place an 18’ ladder so that it exactly reaches the top of a 14’ wall?
Answer:
Length of Ladder(Hypotenuse)=18
Height of wall(Opposite) =14
How far from the base... This talks about the adjacent or distance between the wall and the base.
You can get your answer from Pythagoras theorem
Which states
The square of the hypotenuse is = to the squares of the adjacent and Opposite sides
H² = O² + A²
We're looking for the adjacent "A"
Making A the subject
A² = H² - O²
A= √H² - O²
A= √18² - 14²
A=√128
A= 8√2'
Are the polynomial functions even or odd ?
If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.
If you mirror the top graph the high/ low points would be opposite so the top graph is odd
The bottoms graph can be mirrored so the bottom graph is even.
From $25 to $35
The percent increase is
Answer:
40 percent
Step-by-step explanation:
Start by taking the difference of the two values:
35-25 = 10.
the $10 is how much the value increased by.
To get the percent that the $25 increased by, take 10/25 to get .4
This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.
You can check your answer by finding 40 percent of 25, which is 10.
What single transformation was applied to triangle A to get triangle B? Links will be reported
Answer:
Rotation:
Step-by-step explanation:
Translation is usually movements like up, down, left, right.
Dilation is when one shape is bigger/smaller than the other, but still congruent.
Reflections are usually done over an axis (x or y), and don't change the degree at which a shape is turned. From looking at the triangles, you can see that one triangle was turned clockwise.
Some1 hurry need help
Answer:
B) (-6,9)
Step-by-step explanation:
since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.
hope this helps <3
Answer:
B, (-6, 9)
Step-by-step explanation:
this is because it's like as if it was a mirror, so that is the correct answer
Find the area of the composite figure.
A. 360 sq m
B. 720 sq m
C. 1000 sq m
D. 1152
Answer:
B 720 sq m
Step-by-step explanation:
A= 24^2 + 12^2
= 720 sq m
Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
How many feet are in 5 yards
Answer:
15 feet
Step-by-step explanation:
Forumula: Multiply the length value by 3.
5*3= 15 feet
Hope this helped! :)
Answer:
15 feet
Step-by-step explanation:
okay so in 1 yard is 3 feet
is it is 5 yards so there is 15 feet
CAN SOMEONE HELP ME PLEASE ASAP
Answer:for the permieter dont you just add both sides?
Step-by-step explanation:
Please help this is very important to my grade
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
What is the place value of 9 in the number 8.0231497?
Answer:
Tens
Step-by-step explanation:
it’s really easy if you know your place values just go ones,tens,hundreds,thousands and keep going but the answer is tens place.
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58
Answer:
A is the answer it sounds more likely
For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.
What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:"If A and B are independent events then, P(A∩B) = P(A).P(B)"
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 ....................(1)
Now we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport)
= Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ......................(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, being a girl and playing a sport are Independent events.
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Solve for x.
x + 14
5x - 74
x = [?]
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
x + 14 = 5x - 74 (corresponding angles are equal to each other)
[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]
Answer:
22
Step-by-step explanation:
Angles x + 14 and 5x - 74 are adjacent angles.
Adjacent angles are equal.
5x - 74 = x + 14
5x - x = 14 + 74
4x = 88
x = 88 / 4
x = 22
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]