[tex]\boxed{\sf 60x^6y^4}[/tex]
Option d is correctThe radius of the large sphere is double the radius of the small sphere.
2 spheres are shown. One sphere has a radius of 3 and the second sphere has a radius of 6.
How many times is the volume of the large sphere than the small sphere?
Step-by-step explanation:
the answer is in the image above
What is the length of the hypotenuse
Answer: 25 in.
Step-by-step explanation:
find the area of the shaded region,(π=3.14).
plx help me
Answer:
115.395 cm2Step-by-step explanation:
The radius of the whole figure: 14 : 2 = 7 (cm)
The area of the whole figure: 7 x 7 x 3.14 = 153.86 (cm2)
The area of the unshaded region: 3.5 x 3.5 x 3.14 = 38.465 (cm2)
The area of the shaded region: 153.86 - 38.465 = 115.395 (cm2)
Answer: 115.395 cm2.
Hope it helps!
What are the features of the quadratic function ƒ(x) = x2 + 10x + 21?
Answer:
B is the answer
Step-by-step explanation:
The intercept is at x = 0 then y = 21 or (0,21) so A and D drop out.
The vertex (-5, -4) satisfies the equation but (-4,-5) does not so C drops out leaving B.
Answer:
B.
Step-by-step explanation:
B.
The ancient Greeks were able to construct a perpendicular bisector for a
given line segment using only a straightedge and compass.
O A. True
B. False
Answer:
True
Step-by-step explanation:
The answer is "True". Let me explain.
Let's say that we have a line segment which we will call AB, construct a perpendicular bisector. The following steps will be taken;
1) Draw a semi circle with its centre at point A and passing through point B.
2) Draw a semi circle with its centre at point B and passing through point A.
3) The two semicircles will intersect at two points with one being above and the other being below the straight line segment AB. Now, a line will have to be drawn that passes through those two intersecting points. This drawn line is called the perpendicular bisector for line segment AB.
Answer:
True
Step-by-step explanation:
Make sure you’re paying attention to if your question says “were able to” or “were not able to”.
The following are the dimensions of a triangle, 6 cm, 8 cm, and 12 cm.
Is this a right triangle?? Use the Pythagorean theorem and the basic law of exponents to prove whether this is a RIGHT triangle.
Show your work and POST your answer.
Answer:
Perimeter of original triangle: 6+8+10=24 cm
Perimeter of new triangle: 3+4+5=12 cm (You get 3, 4, and 5 from dividing 6, 8. and 10 by 2.)
Ratio of original to new is 24 to 12, simplified to 2 to 1.
The ratio of the perimeter is the ratio of the corresponding sides, as the original measurements are two times the length of the new measurements.
Area of original triangle: (6x8)/2=24 cm^2
Area of new triangle: (3x4)/2=6 cm^2
Ratio of original to new is 24 to 6, simplified to 4 to 1.
nolan uses 7 inches of string to make each bracelet. if nolan makes 3 bracelets, how many inches of string will he use?
Answer:
21 inches
Step-by-step explanation:
We can write a ratio to solve
7 inches x inches
------------- = -------------------
1 bracelet 3 bracelets
Using cross products
7*3 = 1x
21 = x
21 inches
Answer:
21 inches
Step-by-step
This can be solved two ways: addition or multiplication.
Addition: Since there are three bracelets you could add 7 three times
7+7+7
= 14+7
= 21
Multiplication: Simply multiply 7 x 3= 21
Find the measure of the indicated angle.
Answer:
∠? = 76°
Step-by-step explanation:
The two lines on the sides of the triangle indicate that this is an isosceles triangle. An isosceles triangle has 2 congruent sides and one side that is different. The same goes for its angles. The angle opposite to these same sides are also the same. So if one angle = 76°, then ∠? = 76° as well.
Hope this helps! Best of luck <3
The side length of a regular hexagon is 11 cm.
a) Write an equation you can solve to find the perimeter of the hexagon.
b) Solve the equation.
NO LINKS ARE ALLOWED!
Answer:
A)let x be the length of one side , 6 × x= peri.
B)6 × 11 = 66
Find the measure of x
Answer:
x = 130 degrees
Step-by-step explanation:
ok so first find all the interior angles of the triangle before using the supplementary angle rule to find x.
the interior angle A = 20 degrees, so the interior angle B must be 50 degrees (since there can only be 180 degrees in a triangle). So, since B is 50 degrees and x is 180-50, we know that x = 130 degrees
HELP ME PLEASEEEEE!!!!!!!
Answer:
sas
Step-by-step explanation:
dide angle side is correct
Please help me answer my question. I really need help with understanding this.
If [tex]sinx=\frac{3a}{2}[/tex] and 0 is less than x is less than [tex]\frac{\pi }{2}[/tex], express [tex]\frac{x}{4}-sin2x[/tex] as a function of a.
If sin(x) = 3a/2 and 0 ≤ x ≤ π/2, then x = arcsin(3a/2). The condition on x here is useful because it makes the sin and arcsin functions exacts inverses of one another: if y = sin(x), then arcsin(y) = x.
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
Also because 0 ≤ x ≤ π/2, we know both sin(x) > 0 and cos(x) > 0. So from the Pythagorean identity, it follows that
sin²(x) + cos²(x) = 1
==> cos(x) = √(1 - sin²(x)) = √(1 - 9a ²/4) = 1/2 √(4 - 9a ²)
Then we have
x/4 - sin(2x) = x/4 - 2 sin(x) cos(x)
… = 1/4 arcsin(3a/2) - 2 (3a/2) (1/2 √(4 - 9a ²))
… = 1/4 arcsin(3a/2) - 3a/2 √(4 - 9a ²)
express as a trinomial (3x-10)(3x-1)
Answer:
3x (3x-1)-10 (3x-1)
9x2-3x-30x+10 (the 2 in 9x2 is the square ok)
9x2-33x+10 Ans..
I hope this will help you
If this is incorrect forgive meplz
Select the correct answer.
This table models function m.
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?
A.
The y-intercept of m is less than the y-intercept of n.
B.
The y-intercept of m is not given.
C.
The y-intercept of m is equal to the y-intercept of n.
D.
The y-intercept of m is greater than the y-intercept of n.
Answer:
A.
The y-intercept of m is less than the y-intercept of n.
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when [tex]x = 0[/tex]
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
When [tex]x = 0, y = 2[/tex], and thus, the y-intercept is y = 2.
Function m:
When [tex]x = 0, y = -6[/tex], and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.
Can someone help me pls
Answer:
Step-by-step explanation:
Look at the photo
Sue read 12 more than twice as many pages is tom did last week if sue read 90 pages how many did tom read
Answer: 39 pages
Step-by-step explanation:
x = the amount of pages Tom read
[tex]2x+12=90\\2x=78\\\frac{2x}{2}=\frac{78}{2}\\x=39[/tex]
If Sue read 90 pages, which is 12 more than twice the amount, subtract 12 from 90, then divide the result by 2, boom, you got your answer. Which should be 39
Find the value of x. Round the answer to the nearest tenth, if needed.
A. 1.8
B. 6
C. 8
D. 20.3
What’s the value of X?
Oranges cost 15p each. Raj has a £1 coin.
What is the greatest number of oranges Raj can buy with £1? I already know the answer; I just need confirmation.
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5)=g(8)=−9. (Do not include "c=" in your answer.)
Answer:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Step-by-step explanation:
According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one c within (a, b) such that f'(c) = 0.
We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a c in (5, 8) such that g'(c) = 0.
So, differentiate the function. We can take the derivative of both sides with respect to x:
[tex]\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right][/tex]
Differentiate:
[tex]g'(x) = -21x^2+182x-280[/tex]
Let g'(x) = 0:
[tex]0 = -21x^2+182x-280[/tex]
Solve for x. First, divide everything by negative seven:
[tex]0=3x^2-26x+40[/tex]
Factor:
[tex]0=(x-2)(3x-20)[/tex]Zero Product Property:
[tex]x-2=0 \text{ or } 3x-20=0[/tex]
Solve for each case. Hence:
[tex]\displaystyle x=2 \text{ or } x = \frac{20}{3}[/tex]
Since the first solution is not within our interval, we can ignore it.
Therefore:
[tex]\displaystyle c = \frac{20}{3}[/tex]
Resuelve el siguiente problema un buzo en una laguna decendio 8m en una hora.Si cada hora bojo la misma cantidad de metros, ¿cuantos metros bojo en 4 horas
Answer:
X = 32 meters.
Step-by-step explanation:
Let the unknown distance be X.Given the following data;
Distance = 8 meters per hourTime = 4 hoursTo find how many meters he would cover in four hours;
1 hour = 8 meters
4 hours = X meters
Cross-multiplying, we have;
X = 8 * 4
X = 32 meters.
On a pie chart, a category representing 20% of the whole should correspond to a central angle of 20°.
Answer:
No! 20% does not correspond to a central angle 20°.
Step-by-step explanation:
The central angle for pie chart is 360°.
So, a category represents 20% is 20%(360) for central angle.
Let's simplify it to get the angle,
[tex]\frac{20}{100} * 360[/tex]
Simplify it,
72°
So, 20% does not correspond to a central angle 20°.
A pebble falls off a cliff at a height of
1,296ft . If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?
[?] seconds
Enter
Answer:
Step-by-step explanation:
The equation for this free fall problem is
[tex]h(t)=-16t^2+1296[/tex] where h(t) is the height of the pebble from the ground at any time t. If we are looking for the time it takes the pebble to hit the ground, knowing that at ground level the height is 0, we set the quadratic equal to 0 and solve for t:
[tex]-16t^2+1296=0[/tex] and
[tex]-16t^2=-1296[/tex] and
[tex]t^2=81[/tex] so
t = -8, 8
Since time will never be negative,
t = 8 seconds
Edwin hiked to a famous point with a beautiful view. It took 2 hours and 55 minutes to hike to the viewpoint and 25 minutes to hike back. Edwin spent 25 minutes enjoying the view at the top. He finished the hike at 11:45 A.M. What time did Edwin start the hike to the viewpoint?
Answer:
= 8:00 A.M.
Step-by-step explanation:
▪You first find the total time taken which will be :
2 hrs 55 min + 25 min
= 3 hrs 20 min + 25 min
= 3 hrs 45min
▪ Beginning time = Arrival time - Time taken
= 11:45 - 3:45
= 8:00 am
¿
tan^2 theta - cot^2 theta = sec^2 theta (1-cot^2 theta)
Answer:
Based on two Pythagorean Identities:
1 + tan²θ = sec²θ1 + cot²θ = csc²θsec²θ(1 - cot²θ)
= sec²θ - sec²θ · cot²θ
[tex]=\frac{1}{cos ^{2} \theta} -\frac{1}{cos ^{2}\theta }*\frac{cos ^{2}\theta}{sin^{2} \theta}\\\\=\frac{1}{cos ^{2}\theta }-\frac{1}{sin^{2}\theta }\\\\=sec^{2}\theta-csc^{2}\theta\\\\=1+tan^{2}\theta-(1+cot^{2}\theta)\\\\=1+tan^{2}\theta-1-cot^{2}\theta\\\\=tan^{2}\theta-cot^{2}\theta[/tex]
The mean of a normally distributed set of data is 53 with a standard deviation of
6. Approximately 95% of all cases are expected to be between...
Answer:
2 standard deviations of the mean. so, 41 to 65
Step-by-step explanation:
from the empirical rule we know that for 95% we are in 2 standard deviations of the mean. so:
53- 6- 6 = 41
*2 minus 6s because 2 standard dev. with the mean
53 + 6 + 6 = 65
what is 9 x 8 + 6 - 98 +67?
Answer:
47
Your answer is this.
Hope it will help you
A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total of 41 onions, how many bags of each type of onion did he get?
Answer:
[tex]\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the number of bags with 8 onions and let [tex]b[/tex] be the number of bags with 3 onions. We have the following system of equations:
[tex]\begin{cases}a+b=7,\\8a+3b=41\end{cases}[/tex]
Subtracting [tex]b[/tex] from both sides of the first equation, we get [tex]a=7-b[/tex]. Substitute this into the second equation:
[tex]8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}[/tex]
Therefore, the number of 8-onion bags is:
[tex]a=7-b,\\a=7-3,\\a=\boxed{4}[/tex]
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
If m angle GEF is thirteen less than five times m angle DEG and m angle DEF = 149º, find m angle GEF.
def=149
gef=5x-13
deg=x
5x-13+x=149
6x=162
x=27
plug the x back in
5(27)-13=122
The value of <GEF is 122
what is angle?In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.
Parts of an Angle
There are two main parts related to an angle - the arms and the vertex.
Arms of the Angle
The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.
<DEF=149
let <DEG be x
So,<GEF = 5x-13
Now
5x-13+x=149
6x=162
x=27
Hence, <GEF = 5(27)-13= 122
Learn more about angle here:
https://brainly.com/question/13954458
#SPJ2
Which of the following is the correct factorization of the polynomial below?
x3 + 10x2 + 25x
A. x(x + 5)(x - 5)
B. (x2 + 2x - 5)(x-10)
C. (x2 + 5x - 2)(x-10)
D. x(x + 5)2
Answer:
x(x+5)^2
Step-by-step explanation:
x^3 + 10x^2 + 25x
Factor out x
x(x^2+10x+25)
What 2 numbers multiply to 25 and add to 10
5*5 = 25
5+5 =10
x(x+5)(x+5)
x(x+5)^2
Answer:
D
Step-by-step explanation:
Given
x³ + 10x² + 25x ← factor out x from each term
= x(x² + 10x + 25) ← perfect square
= x(x + 5)²
An airport runway measuring 450 m is drawn to a scale of 1 cm represent 100 m find its length in the drawing
Answer: 4.5cm
Step-by-step explanation:
From the information given in the question, we are informed that an airport runway measuring 450 m is drawn to a scale of 1 cm represent 100m, then the length in the drawing will be calculated thus:
Let the length be represented by x. Therefore, we'll have:
1/x = 100/450
Cross multiply
(100 × x) = (1 × 450)
100x = 450
x = 450/100
x = 4.5
Therefore, the length in the drawing is 4.5cm
