Answer:
6.4 cones full of water
Step-by-step explanation:
Given data
Radius of cone= 6inches
Slant height= 10 inches
Volume of cone= 1/3πr^2h
V= 1/3*3.142*6^2*10
V= 1/3*3.142*36*10
V= 1/3*1131.12
V= 377.04 cubic inches
Radius of right cylinder= 8 inches
Height= 12 inches
Volume of cylinder= πr^2h
Volume= 3.142*8^2*12
Volume= 3.142*64*12
Volume=2413.056 cubic inches
Hence the number of cone full of water needed to fill the cylinder is
=Volume of cylinder/volume of cone
=2413.056/377.04
=6.4 cones full of water
Really need help on this too ASAP thanks for whoever helps me
Answer:
D 45
Step-by-step explanation:
90/2 = 45
135/3 = 45
180/4 = 45
Answer PLSSS..................
rectangle = 3 x 2 = 6 cm2
cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2
153.86 - 6 = 147.86cm2
An accountant earns an annual salary of $78, 252. Find her gross monthly salary.
Answer:
she gets paid 6,521 a month
Step-by-step explanation:
just divide 78,252 by 12
Explanation:
Divide the given value by 12 to get the answer. This is the salary before taxes and such. The net salary is after taxes are taken away.
Unit 9 test: Trigonometry
What is the right answer to this problem?
Answer:
x = 10.5
Step-by-step explanation:
[tex]cos 65 =\frac {adjacent}{hypotenuse} \\\\0.4226 = \frac{x}{25}\\\\0.4226 \times 25 = x \\\\x = 10.565[/tex]
Answer:
Step-by-step explanation:
take 65 degree as reference angle
using cos rule
cos 65=adjacent/hypotenuse
0.42=x/25
0.42*25=x
10.5=x
how to calculate algebraic expression?
Solve the trigonometric equation on the interval of [0,2π) below:
[tex] \large{cos(2 \theta + \frac{ \pi}{3} ) = \frac{ \sqrt{3} }{2} }[/tex]
Show your work, thanks!
Answer:
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
Step-by-step explanation:
we would like to solve the following trigonometric equation on interval of [0,2π)
[tex] \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} [/tex]
remember that,
[tex] \displaystyle \cos(t) = \cos(2\pi - t) [/tex]
so the equation has two solutions
[tex] \begin{cases} \displaystyle \cos \left(2 \theta + \frac{\pi}{3} \right ) = \frac{ \sqrt{3} }{2} \\ \cos \left(2\pi - (2 \theta + \frac{\pi}{3} )\right ) = \frac{ \sqrt{3} }{2} \end{cases}[/tex]
take inverse trig both sides which yields:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ 2\pi - 2 \theta - \frac{\pi}{3} = \frac{\pi}{6} \end{cases}[/tex]
simplify the second equation:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} \end{cases}[/tex]
add period of 2kπ:
[tex] \begin{cases} \displaystyle 2 \theta + \frac{\pi}{3} = \frac{\pi}{6} + 2k\pi \\ \frac{5\pi}{3} - 2 \theta = \frac{\pi}{6} + 2k\pi\end{cases} [/tex]
By making theta subject of the equation we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} - k\pi\end{cases} [/tex]
since [tex]k\in\mathbb{Z}[/tex] we get:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + k\pi \\ \theta = \frac{3\pi}{4} + k\pi\end{cases} [/tex]
as we want to Solve the trigonometric equation on the interval of [0,2π) we get
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{11\pi}{12} + \pi \\ \theta = \frac{3\pi}{4} + \pi\end{cases} [/tex]
by simplifying we acquire:
[tex] \begin{cases} \displaystyle \theta = \frac{11\pi}{12} \\ \theta = \frac{3\pi}{4} \end{cases} \text{and} \begin{cases} \displaystyle \theta = \frac{23\pi}{12} \\ \theta = \frac{7\pi}{4} \end{cases} [/tex]
and we are done!
hence,
[tex] \displaystyle \theta = \frac{3\pi}{4},\frac{11\pi}{12}, \frac{7\pi}{4}, \frac{23\pi}{12} [/tex]
(04.06 LC)
The first four terms of a sequence are shown below:
8, 5, 2, -1
Which of the following functions best defines this sequence? (5 points)
f(n) = - 3(n-1) +8; for n 2 1
O f(n) = 3(n-1) +8; for n 2 1
O f(n) = - 5(n-1) +8; for n 2 1
f(n) = 5(n-1) +8; for n 2 1
Given:
The first four terms of a sequence are:
8, 5, 2, -1
To find:
The function that defines the given sequence.
Solution:
We have,
8, 5, 2, -1
The differences between two consecutive terms are:
[tex]5-8=-3[/tex]
[tex]2-5=-3[/tex]
[tex]-1-2=-3[/tex]
The given sequence has a common difference -3. It means the given sequence is an arithmetic sequence with first term 8 and common difference -3.
The nth terms of an arithmetic sequence is:
[tex]f(n)=a+(n-1)d[/tex], for [tex]n\geq 1[/tex]
Where, a is the first term and d is the common difference.
Putting [tex]a=8,d=-3[/tex], we get
[tex]f(n)=8+(n-1)(-3)[/tex]
[tex]f(n)=8-3(n-1)[/tex]
[tex]f(n)=-3(n-1)+8[/tex], for [tex]n\geq 1[/tex]
Therefore, the correct option is A.
Carleigh makes $10 more than sheryl (s) does per hour. Carleigh makes $22 an hour. which equation can be used to figure out how much sheryl makes
s+10=22 or 10+22=s
What is the value of x when y has a value of -9 ? -3x = y + 51
A) -20
B) -14
C) 14
D) 20
Please help me fast!!!
Answer:
y=25x+150
Step-by-step explanation:
The slope is 25 and the y-intercept is 150.
Hope this helps.
What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!
Answer:
(0, 3)
Step-by-step explanation:
y= 3 when x=0
There are 8 different actors auditioning for the roles of Larry, Curly and Moe. How many ways could the roles be cast? Best answer get Brainliest.
Can you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
What is the area of the white border?
Answer:
you have 48
Step-by-step explanation:
15x2=30
9x2=18
18+30=48
help!!!!!!! me plzzzz!!!!
Answer:
1.0
2.undefined
Step-by-step explanation:
Answer:1) 0, 2) is undefined
Step-by-step explanation:
Each day, the seals at an aquarium are fed 8 pounds of food for every 100 pounds of their body weight. A seal at the aquarium weighs 400 pounds.
Answer:
32 just multiply by four
The sum of 42 fish and x fish is 68 fish. What is the unknown number of fish?
Answer:
the unknown number of fish is 26
Step-by-step explanation:
I figured this out by subtracting 68 - 47 = x.
x = 26
Answer:
Unknow fishes = 26
Step-by-step explanation:
We are given that 42 and x fishes sum up to 68 fishes, so we can say;
42 + x = 68
x = 68 - 42
x = 26
Therefore the number of unknown fishes = 26
Hope this helps!
Plot the following points: A (-2, 2) B (-4,-4) C(1,-4) D (3, 2) Connect the points. What is the name of the polygon? How long is line segment AD? What is the area of the shape?
Answe545r:
45454
Step-by-step explanation:
Leroy draws a rectangle that has a length of 11.9 centimeters and a width of 7.6 centimeters. How much longer is the length than the width of Leroy's rectangle?
Answer: 4.3 cm
Step-by-step explanation:
Leroy's rectangle's width is 7.6 cm in length and the length of the triangle is 11.9 cm.
The length is therefore longer than the width and the difference is:
= Length - Width
= 11.9 - 7.6
= 4.3 cm
40 POINTS
Pleaseee help, I need to turn this in soon.
Answer:
The Pythagorean identity [tex]\sin^2\theta+\cos^2\theta=1[/tex] comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle [tex]\theta[/tex], we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse of the triangle and [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle.
Therefore, we have the following equation:
[tex](\sin\theta)^2+(\cos\theta)^2=1^2,\\\boxed{\sin^2\theta+\cos^2\theta=1}[/tex]
The Pythagorean identity comes from Pythagorean theorem and the unit circle. In the unit circle, for any point on the circle, there y-coordinate represents the sine of the angle and the x-coordinate represents the cosine of the angle. For any angle , we can create a right triangle using the x-coordinate and y-coordinate as legs of the triangle. The hypotenuse of this triangle would be the radius of the unit circle, which is given as 1.
The Pythagorean theorem states that in all right triangles, the following must be true:
, where is the hypotenuse of the triangle and and are two legs of the triangle.
Therefore, we have the following equation:
Need help!! Please/ Thank you!!
Answer:
d= 8.3 units
➴➵➶➴➵➶➴➵➶
[tex]Given:[/tex]
[tex]L=7[/tex]
[tex]B=4[/tex]
[tex]H=2[/tex]
[tex]d=\sqrt{L^2+B^2+H^2}[/tex]
[tex]d=\sqrt{7^2+4^2+2^2}[/tex]
[tex]d=\sqrt{49+16+4}[/tex]
[tex]d=\sqrt{69}[/tex]
[tex]d=8.3~units[/tex] ✔︎
•❅────✧❅✦❅✧────❅•
hope it helps...
have a great day!!!
Jan spent 3 3/4 hours doing homework last week. She spent
5 1/4 hours doing homework this week. How many more
hours did Jan spend on homework this week than last
week?
Answer:
6/4
Step-by-step explanation:
Answer:
Exact Form:
3/2
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
Mr. Olen is looking at the drawings of two proportional city lots. One of the dimensions of Lot B is not readable. How many square feet are in Lot B?
325,000 square feet
75,000 square feet
135,000 square feet
202,000 square feet
NO LINKS
Answer:
nfdsBFS>BFBms?FBsbn
Step-by-step explanation:vkhgv
SFsASFWWFmreweebwfjfeWBEfeb
What is the answer? {y=2x−6 y=5x−21
Answer:
x=5, y=4. (5, 4).
Step-by-step explanation:
y=2x-6
y=5x-21
--------------
2x-6=5x-21
2x-5x-6=-21
-3x-6=-21
-3x=-21+6
-3x=-15
3x=15
x=15/3
x=5
y=2(5)-6
y=10-6
y=4
The length of a rectangle is represented by (2x2−5x+5)cm and the width is represented by (x2+4x−3)cm. What is the representation of the perimeter
Answer: [tex]6x^2-2x+4[/tex]
Step-by-step explanation:
Given
The length of a rectangle is given by
[tex]l=2x^2-5x+5[/tex]
and the breadth is given by
[tex]w=x^2+4x-3[/tex]
Perimeter is the sum of the sides of rectangle
[tex]\therefore \text{Perimeter P= }2(2x^2-5x+5+x^2+4x-3)\\\Rightarrow P=2(3x^2-5x+4x+5-3)\\\Rightarrow P=2(3x^2-x+2)\\\Rightarrow P=6x^2-2x+4[/tex]
Thus, the perimeter is given by [tex]6x^2-2x+4[/tex].
What us the range of the data below?
Tell whether the angles are complementary, supplementary, or neither.
Answer:they are supplementary
Step-by-step explanation:
Check out this right triangular prism: Find the surface area of the right triangular prism (above) using its net (below). units2^22squared
Answer:
96 squared units
Step-by-step explanation:
Please find attached the diagram used in answering this question
The surface area is equal to the area of each shape
Area of a triangle = Area of a triangle = 1/2 x ( base x height)
1/2 x 2 x 3= 3
there are 4 triangles, area of both triangles = 3x4 = 12
Area of rectangle = length x width
Area of middle rectangle = 6 x 7 = 42
Area of two side rectangles = (3 +3) x 7 = 42
surface area = 42 + 42 + 12 = 96
Can you help? will give brainliest
┐(´ー｀)┌
Answer:
D
Step-by-step explanation:
u are correct
Zendaya has 5/6 yard of wood to make racks for a wood game . Each rack needs to be 1/6 yard long. How many racks can Zend ayah make from her piece wood? Show how you found the answer.
Answer:
Number of rack made from total wood = 5 rack
Step-by-step explanation:
Given:
Length of wood Zendaya has = 5/6 yard
Length of each rack = 1/6 yard
Find:
Number of rack made from total wood
Computation:
Number of rack made from total wood = Length of wood Zendaya has / Length of each rack
Number of rack made from total wood = [5/6] / [1/6]
Number of rack made from total wood = [5/6][6/1]
Number of rack made from total wood = 5 rack