Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
According to the Question,
Given That, Another plan to secure the roller coaster involves placing two concrete struts on either side of the center of the leg of the roller coaster to add reinforcement against southerly winds in the region.Again, using the center of the half-circle as the origin, the struts are modeled by the equations y=x+8 and y=x-4. A vertical reinforcement beam will extend from one strut to the other when the two cables are 2 feet apart. Recall that a reinforcement beam will extend from one strut to the other when the two struts are 2 feet apart.
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
thus, √(x + 8) − √(x − 4) = 2
on Solving we get,
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
A pair of fair dice each numbered 1 to 6 is tossed . Find the probability of a score of :
i. two odd numbers.
ii. a sum of 8 or a sum of 12.
ii. both prime or both odd numbers.
Answer:
i)
Odd numbers:
1, 3, 5 - 3 options of 6P(odd and odd) = 3/6*3/6 = 1/4
ii)
Total outcomes:
6*6 = 36Sum of 8:
2 + 6, 3 + 5, 4 +4, 5 + 3, 6 + 2 - 5 optionsSum of 12:
6 + 6 = 12 - 1 optionP(8 or 12) = 5/36 + 1/36 = 6/36 = 1/6
iii)
Prime numbers:
2, 3, 5 - 3 options of 6Odd numbers:
1, 3, 5 - 3 options of 6P(prime or odd) = 3/6*3/6 + 3/6*3/6 = 1/4 + 1/4 = 1/2
Please help me
How many solutions does the equation
1-(6x - 4) = 3(1 – x) have?
Answer: one solution
this is all i know
Answer:
D
Step-by-step explanation:
Given
1 - [tex]\frac{1}{2}[/tex] (6x - 4) = 3(1 - x) ← distribute parenthesis on both sides
1 - 3x + 2 = 3 - 3x
3 - 3x = 3 - 3x
Since both sides of the equation are the same , then
This indicates the equation has infinitely many solutions.
What is the nth term rule of 7,9,11,13,15
Answer:
[tex]a_{n}[/tex] = 2n + 5
Step-by-step explanation:
There is a common difference between consecutive terms, that is
9 - 7 = 11 - 9 = 13 - 11 = 15 - 13 = 2
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 7 and d = 2 , then
[tex]a_{n}[/tex] = 7 + 2(n - 1) = 7 + 2n - 2 = 2n + 5
please help! urgently
Answer:
sinC = [tex]\frac{4\sqrt{41} }{41}[/tex]
Step-by-step explanation:
We require to find the side DE before finding sinC
Using Pythagoras' identity in the right triangle
DE² + CE² = CD²
DE² + 5² = ([tex]\sqrt{41}[/tex] )²
DE² + 25 = 41 ( subtract 25 from both sides )
DE² = 16 ( take the square root of both sides )
DE = [tex]\sqrt{16}[/tex] = 4 , then
sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{DE}{CD}[/tex] = [tex]\frac{4}{\sqrt{41} }[/tex] , rationalise the denominator
sinC = [tex]\frac{4}{\sqrt{41} }[/tex] × [tex]\frac{\sqrt{41} }{\sqrt{41} }[/tex] = [tex]\frac{4\sqrt{41} }{41}[/tex]
100 students are interviewed to see which of biology, chemistry or physics they prefer.
57 of the students are girls. 34 of the girls like biology best.
27 of the boys prefer physics.
20 out of the 28 who prefer chemistry are girls.
What percentage of the students prefer biology?
Step-by-step explanation:
everything can be found in the picture
-x+2y=11 on a graph plz help
Answer:
Hope this helps.
Which numbers are a distance of 6 units from 2 on the number line? Select the location on the number line to plot each point.
-5 -4 -3 -2 -1 0 +EEE 4 5 6 7 8 9 10 1 2 3
Answer:
We reach at 8.
Step-by-step explanation:
The starting point is 2 .
Jump at the six places, the final point reaches at 8, so the point is 8.
Please help I don’t know how to do this
Step-by-step explanation:
I cannot see all the answer options.
square garden, side length x.
area = x² (or x×x)
new area r = (x-p)(x+q) = x² - px + qx - pq =
= x² + (q - p)x - pq
3D printer. costs p in general.
makes x figurines.
material per figurine costs q.
costs per figurine r = q + p/x
as the printer costs themselves need to be distributed equally across all produced figurines.
investment account. q% pretty year.
p dollars starting balance.
letting it sit for x years.
a0 = p
a1 = a0 + a0×q/100 = a0 × (1 + q/100)
a2 = a1 + a1×q/100 = a1×(1 + q/100) = a0×(1 + q/100)²
a3 = a2 + a2×q/100 = a2×(1 + q/100) = a0×(1 + q/100)³
...
ax = a0×(1 + q/100) to the power of x =
= p × (1 + q/100) to the power of x
account without interest. p dollars are already in it.
adding q dollars every month for x months.
balance after these x months
r = x×q + p = q×x + p
Find the sum of the first terms of the sequence
Answer:
-4+8+-16+32+-64+128 = 84
Step-by-step explanation:
The fifth and sixth terms are -64 and 128
Order the list of numbers from least to greatest.
Answer:
0, 0.5, 8/3, root 5, 3.1
PLEASE HELP BRAINLIEST!! Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Simplify and leave in radical form.
Answer:
[tex] { ({x}^{2}. {y}^{6} )}^{ \frac{1}{8} } \\ {x}^{2 \times \frac{1}{8} } . {y}^{6 \times \frac{1}{8} } \\ = {x}^{ \frac{2}{8} } . {y}^{ \frac{6}{8} } \\ = {x}^{ \frac{1}{4} } . {y}^{ \frac{3}{4} } [/tex]
What is the following sum?
4.5+2V5
O 6.10
O 8/10
O ENG
O ONE
Answer:
[tex]6 \sqrt{5} [/tex]
Step-by-step explanation:
Take out Square root 5 as common and then add numbers
[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]
When an electron is removed the atom gets a ( ) Charge .
Answer:
positive charge...............
Math a challenging subject, sigh...
what number is not a perfect square
Answer:
1 -1
2-4
3-9
4-16
5-25
6-36
7-49
8-64
9-81
10-100
11-121
12-144
Those are the first 12
Step-by-step explanation:
In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12
Answer:
4
Step-by-step explanation:
i don’t understand this at all
Answer:
use the pythagorean theorem
Step-by-step explanation:
a²+b²=c²
help me find the size of the rhombus :)
Answer:
Step-by-step explanation:
The diagonals of a rhombus divides it into four congruent right triangles. Each triangle is a mirror image of the adjacent.
Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.
Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.
To summarize,
angle 1 = 33°
angle 2 = 57°
angle 3 = 57°
angle 4 = 33°
The following equation 3(2x - 1) = 6(1 + 1) has infinite solutions True False
Answer:
False
Step-by-step explanation:
3(2x - 1) = 6(1 + 1)
Distribute
6x -3 = 6(2)
6x -3 = 12
Add 3 to each side
6x =15
x = 15/6
There is one solution
Answer:
False.
Step-by-step explanation:
3(2x - 1) = 6 (1+1)
3*2x - 3*1 = 6*2
6x - 3 = 12
Add 3 to both side
6x = 12+ 3
6x = 15
Divide both sides by 6
x = 15/6
x = 2.5
This equation has one solution
For the equation 3(7 + 2) = 3x + k, what value of k will create an equation with infinitely many solutions?
A)7
B)21
C)10
D)3
Answer:
ygftyhhhhgffyujhhgyjjjhhguj
3 vertices of a parallelogram ABCD are shown in the applet. What are the coordinates of point D?
Need ASAP
Answer:
D (0, 3)
Step-by-step explanation:
To go from B (8, 3) to C (3, 8)
subtract 5 from x, add 5 to y
A (5, -2)
subtract 5 from x, x = 0
add 5 to y, y = 3
D (0, 3)
what is the width of a rectangle if the length is 5cm
Answer:
it's can be anything from 1 to infinite.
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
A grocery store sells a bag of 4 oranges for $2.84. If arianna spent &3.55 on oranges, how many did she buy?
Answer:
5 dollors i just tookthe test 4
Step-by-step explanation:
Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
To find out how many oranges Arianna bought, we can use the given price of a bag of 4 oranges and the total amount she spent on oranges.
Let's set up a proportion:
Price of a bag of 4 oranges = $2.84
Amount Arianna spent on oranges = $3.55
Let "x" be the number of bags of oranges Arianna bought.
Since each bag contains 4 oranges, the total number of oranges she bought is 4 times the number of bags (4x).
Now, we can set up the proportion:
(Price of a bag of 4 oranges) / (Amount spent on oranges) = (Number of bags bought) / 4x
$2.84 / $3.55 = 1 / 4x
To solve for "x," cross-multiply:
$2.84 * 4x = $3.55 * 1
11.36x = 3.55
Now, solve for "x":
x = 3.55 / 11.36
x ≈ 0.3125
Since we can't buy a fraction of a bag, we round the value of "x" to the nearest whole number:
x ≈ 0 (rounded to the nearest whole number)
So, Arianna bought 0 bags of oranges. It's possible that she may have bought other items along with the oranges or there might be a pricing discrepancy.
To know more about oranges:
https://brainly.com/question/28969541
#SPJ3
help i need this asap
Answer:
The minimum is -4
Step-by-step explanation:
The minimum is the lowest point on the parabola
It is at (-3,-4)
The y value is the minimum of the function
The minimum is -4
Jackie burns 250 calories per hour doing aerobics. She has to burn 3500 calories
to lose one pound. How long will Jackie have to work out to lose 5 pounds?
Answer:
70
Step-by-step explanation:
she burns 250 calories per hour .to burn 3500 calories and shed 1 pound she has to work 14 hours and to shed 5 pounds she has to work 14×5=70 hours
Given the general form of the sinusoidal function, y = AsinB(x - C) + D, match the following items.
Answer:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
Step-by-step explanation:
The general form of a sinusoidal function is represented by the following characteristics:
[tex]y = \Delta y \cdot \sin \omega\cdot (x- x_{o}) + y_{o}[/tex] (1)
Where:
[tex]\Delta y[/tex] - Amplitude.
[tex]\omega[/tex] - Angular frequency.
[tex]x_{o}[/tex] - Phase shift.
[tex]y_{o}[/tex] - Vertical shift.
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
In addition, we know that the period associated with the sinusoidal function ([tex]T[/tex]) is:
[tex]T = \frac{2\pi}{\omega}[/tex]
By direct comparison, we get the following conclusions:
[tex]\Delta y = A[/tex] (Amplitude) (Correct answer: 1)
[tex]\omega = B[/tex] (Angular frequency) (Correct answer: 2)
[tex]x_{o} = C[/tex] (Phase shift) (Correct answer: 3)
[tex]y_{o} = D[/tex] (Vertical shift) (Correct answer: 4)
[tex]\frac{2\pi}{\omega} = \frac{2\pi}{B}[/tex] (Period) (Correct answer: 5)
pls help due in 10 mins
Answer:
Area = 97.4 cm²
Step-by-step explanation:
a = 15 cm
[tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]
[tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]
help please asap!!! working too please not just the answers!!
Answer:
Area = 4600m
explanation: I worked it out in the image attached if that helps let me know if you need a more in depth explanation step by step
Answer:
244280
Step-by-step explanation:
you divide it into three rectangles so you have three diffenet products of 6480+57800+180000 to get 244280
what is 3.78 × 10 ²=
Answer:
3.78 × [tex]10^{2}[/tex] = 378
Step-by-step explanation: