The length of the petals of the rose is 8 units
How to determine the length of the petals?The polar equation is given as:
r = 8 cos(30)
The amplitude of the above equation is:
A = 8
This is the same as the length of the petals
i.e.
Length = 8
Hence, the length of the petals of the rose is 8 units
Read more about polar equations at:
https://brainly.com/question/9363127
#SPJ1
You decide to buy a tablet for college. The tablet you want is currently on sale for 29% off the original price. If the original price was $899, what is the current price? Round your answer to the nearest cent (2 decimal places).
Answer:
638.29
Step-by-step explanation:
This is the answer because 29 percent of 899 is somewhere around 260.71
Substract that and you get 638.29
Please help need done by the next hour! Will mark Brainliest
Answer:
you did not even show the answer
Step-by-step explanation:
you have to post it lol;)
The figure is cut into 15 equal pieces. Shade 2/3 of the figure.
Answer:
Shade 10 of the pieces.
Step-by-step explanation:
Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked
Answer:
B
Step-by-step explanation:
The data shows a positive correlation so the gradient must be positive so B.
1. As shown in the diagram below, the radius of a cone is 2.5 cm and its
slant height is 6.5 cm. How many cubic centimeters are in the volume of
the cone?
6.5
The number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³
Calculating the volume of a coneFrom the question, we are to determine the volume of the cone
The volume of a cone can be calculated by using the formula,
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
Where V is the volume
r is the radius
and h is the height
From the given information,
radius, r = 2.5 cm
slant height, l = 6.5 cm
First, we will determine the height of the cone
By Pythagoras' theorem
[tex]l^{2} = r^{2} + h^{2}[/tex]
Where [tex]l[/tex] is the slant height
r is the radius
and h is the height of the cone
Then, we can write that
[tex]6.5^{2} = 2.5^{2} + h^{2}[/tex]
[tex]42.25 = 6.25 + h^{2}[/tex]
[tex]h^{2}=42.25 - 6.25[/tex]
[tex]h^{2} =36[/tex]
[tex]h = \sqrt{36}[/tex]
∴ h = 6 cm
Now, putting the parameters into the equation for the determining the volume of a cone, we get
[tex]V = \frac{1}{3}\times \pi \times 2.5^{2} \times 6[/tex]
[tex]V = \pi \times 6.25\times 2[/tex]
[tex]V = 12.5 \pi[/tex] cm³ OR 39.27 cm³
Hence, the number of cubic centimeters that are in the volume of the cone is 12.5π cm³ OR 39.27 cm³
Learn more on Calculating volume of a cone here: https://brainly.com/question/12004994
SPJ1
50 points!!! Which equation is represented on the graph?
Answer:
I think the answer is b ill look into it a Lil more
Drag each expression to its equivalent.
Answer:
x-3+2x+3+2x = 5x
x+8+4x-3x-4 = 2x+4
4x+x-11-5X+25+4x = 4x+14
3x+5-2x-5x+9+8x = 4x+14
5+9x-7-4X-3x+6 = 2x+4
6x-9-5x+4-x+5x+5 = 5x
Step-by-step explanation:
Simplified by adding like terms
what is the rate of change of the linear function that has a graph that passes through the points (-5, -2) and (-2, 6)
The rate of change of the linear function whose graph passes through points (-5, -2) and (-2, 6) is: 2.7.
What is the Rate of Change of a Linear Function?The rate of change of a linear function is given as change in y over change in x.
Given the points:
(-5, -2) and (-2, 6)
Change in y = 6 -(-2) = 8 units
Change in x = -2 -(-5) = 3 units
Rate of change = 8/3 = 2.7.
Learn more about rate of change on:
https://brainly.com/question/8728504
#SPJ1
Travis is cutting strips of paper for a project. He needs strips that are 114 inches wide. He cut his first strip too wide. His percent error was 10%. How wide did Travis cut the strip of paper? Enter your answer as a mixed number in simplest form in the box.
Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches
What is the percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
The length Travis needs to cut = 114 inches
Percent of error = 10%
Let's assume he cuts x inches wide strip
So from the percent of error formula:
[tex]\rm \dfrac{x-114}{114} = \dfrac{10}{100}[/tex]
[tex]\rm x = \dfrac{114}{10}+114[/tex]
[tex]\rm x = \dfrac{1254}{10}\Rightarrow \dfrac {627}{5}[/tex] or
[tex]\rm x = 125\dfrac{2}{5} \ inches[/tex]
Thus, Travis cuts 125 whole 2/5 inches wide strip if the percent of error was 10% the actual length of the strips he needs to cut was 114 inches
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
Answer:
it’s 1 3/8 I don’t know what dude it’s talking about
Step-by-step explanation:
Find the volume of the solid (pls help me :// )
=====================================================
Explanation:
The triangular face has area of base*height/2 = 4*10/2 = 40/2 = 20 square cm.
Multiply this prism base area by the depth of the prism to get 20*2 = 40 cubic cm.
It might help to place the triangular prism so the triangular face is along the ground, so you can think of that face as the floor of this triangular room. The volume of this room is equal to the floor area times the height of the room.
volume of the room = (floor area)*(height of the room)
volume of the prism = (base area)*(height of the prism)
For any prism, the base faces are always parallel and congruent to each other.
Amina and her mother are buying green coffee beans to make qahwa, an Arabic
coffee recipe. Green coffee beans cost $0.58 for each ounce. Amina and her
mother buy 12.5 ounces of green coffee beans. What is the total cost of the green
coffee beans?
Answer:
$36.3
Step-by-step explanation:
The total cost of the Green coffee beans is $7.25.
What is Total Cost?Total cost (TC) is the minimum cost of producing some quantity of output. This is the total economic cost of production and is made up of variable cost, which varies according to the quantity of a good produced and includes inputs such as labor and raw materials, plus fixed cost.
Here, Green coffee beans cost $0.58 for each ounce.
Amina and her mother buy 12.5 ounces of green coffee beans
Total cost = cost each ounce X Number of ounces
TC = 12.5 X 0.58
TC = $ 7.25
Thus, the total cost of the Green coffee beans is $7.25.
Learn more about Total Cost from:
https://brainly.com/question/14927680
#SPJ2
Please help me with this math problem!! I will give brainliest!! :)
Wrong answer sorry. Hope you find it!
Given that sin0 =, 8/17what is cos 0?
Enter your answer, as a simplified fraction, in the boxes.
cos 0=
Answer:
Cos 0 = 15/17
Step-by-step explanation:
.................................................
Write each number as a power of 10 using negative exponents.
1.
[tex] \frac{1}{1000} [/tex]
2.
[tex] \frac{1}{10} [/tex]
Answer:
Step-by-step explanation:
One
If the number was 1000, you just count the numbers starting at the right until you get a number that is between 1 and 10
So starting at the right, you get to go 3 places towards the left. You get the number one, so 1000 would be written as 1 * 10^3.
The the given number is a fraction the rule is Add a minus sign
Answer: 1/1000 = 1 * 10^-3
Two
10 is 10^1 in scientific notation
1/10 = 10^-1
Answer: 1/10
Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .
At the end of the third year the population of beetles will be 11,576beetles
Exponential equationsThe standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: https://brainly.com/question/12940982
#SPJ4
Can someone please answer this, ill give you brainliest Would be very appreciated.
Explanation:
Expression: d = 16t² where d is distance. t is time.
1)
Here t = 2
d = 16(2)²
d = 64 feet
2)
h = 906-t²
h = 906 - 16(2)²
h = 842 feet
3)
expression of height: y = 906 - 16t²
Answer:
64842y = 906 - 16t²Step-by-step explanation:
Q1
Distance travelled in 2 second 16(2)²64 feetQ2
Height of object after 2 seconds906 - 64842 feetQ3
height of object t seconds after it is droppedy = 906 - 16t²Iggy is practicing for a marathon by running laps on the
track at school. Each lap covers 0.7 kilometers, and he
has already run 19.6 kilometers. How many laps does he
need to run if he wants to complete 91 kilometers?
How can you prove that csc^2(θ)tan^2(θ)-1=tan^2(θ)
Answer:
Make use of the fact that as long as [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex]:
[tex]\displaystyle \tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}[/tex].
[tex]\displaystyle \csc(\theta) = \frac{1}{\sin(\theta)}[/tex].
[tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex].
Step-by-step explanation:
Assume that [tex]\sin(\theta) \ne 0[/tex] and [tex]\cos(\theta) \ne 0[/tex].
Make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] and [tex]\csc(\theta) = (1) / (\sin(\theta))[/tex] to rewrite the given expression as a combination of [tex]\sin(\theta)[/tex] and [tex]\cos(\theta)[/tex].
[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \left(\frac{1}{\sin(\theta)}\right)^{2} \, \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} - 1 \\ =\; & \frac{\sin^{2}(\theta)}{\sin^{2}(\theta)\, \cos^{2}(\theta)} - 1\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1\end{aligned}[/tex].
Since [tex]\cos(\theta) \ne 0[/tex]:
[tex]\displaystyle 1 = \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)}[/tex].
Substitute this equality into the expression:
[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots\\ =\; & \frac{1}{\cos^{2}(\theta)} - 1 \\ =\; & \frac{1}{\cos^{2}(\theta)} - \frac{\cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].
By the Pythagorean identity, [tex]\sin^{2}(\theta) + \cos^{2}(\theta) = 1[/tex]. Rearrange this identity to obtain:
[tex]\sin^{2}(\theta) = 1 - \cos^{2}(\theta)[/tex].
Substitute this equality into the expression:
[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{1 - \cos^{2}(\theta)}{\cos^{2}(\theta)} \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\end{aligned}[/tex].
Again, make use of the fact that [tex]\tan(\theta) = (\sin(\theta)) / (\cos(\theta))[/tex] to obtain the desired result:
[tex]\begin{aligned}& \csc^{2}(\theta) \, \tan^{2}(\theta) - 1\\ =\; & \cdots \\ =\; & \frac{\sin^{2}(\theta)}{\cos^{2}(\theta)}\\ =\; & \left(\frac{\sin(\theta)}{\cos(\theta)}\right)^{2} \\ =\; & \tan^{2}(\theta)\end{aligned}[/tex].
Write 6.51 x 10-8 in standard form
Please help :)
There are seven "0"s between the decimal point and the digit "6".
======================================================
Explanation:
The number [tex]6.51 \times 10^{-8}[/tex] is in scientific notation.
The exponent -8 tells us to move the decimal point exactly 8 spots to the left to get the answer 0.0000000651
In other words, we'll move the decimal point one spot to the left to go from 6.51 to 0.651
Then we move it another seven spots to the left to arrive at 0.0000000651
This is why there are seven "0"s between the decimal point and the digit "6".
Passengers, who are travelling in a car west along a road that runs east-west, see a mountain 9 km away on a bearing of 290°. When they have travelled a further 5 km west along the road, what will be the distance to the mountain?
3^2+ square root of 36-2x10
Answer:
-5
Step-by-step explanation:
9+6-2*10
15-20
= -5
What is the height of a cylinder if the diagonal is 13 inches and the radius is 5 inches?
Answer:
12 inches.
Step-by-step explanation:
You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.
Answer:12 in
Step-by-step explanation:
Solve for d -6 = d/3
21
-21
18
-18
22. Solve using the principles together. Check your answer.
5x - 3 = 11 + 12x
---Subtract 5x from both sides
-3 = 11 + 7x
---Subtract 11 from both sides
-14 = 7x
---Divide both sides by 7 to leave x by itself
x = -2
Answer: x = -2
Answer Choice: A, -2
Hope this helps!
Answer:
A. The solution is x =-2.
Step-by-step explanation:
Given :
5x - 3 = 11 + 12xSubtract 11 from each side.
5x - 3 - 11 = 11 + 12x - 115x - 14 = 12xSubtract 5x from each side.
5x - 14 - 5x = 12x - 5x7x = -14x = -2A. The solution is x =-2.
8.
Consider a function which takes certain values, as shown in the table below.
--
x | -2 | 0 | 3 | 8 |
y | 10 | 6 | 0 | -10 |
Find the average rate of change between x = -2 and x = 0
Step-by-step explanation:
i just answered this.
the average change rate is the change of the functional result in a given interval relative (= divided by) to the length of the interval of the input variable.
in short
( f (interval upper limit) - f (interval lower limit) ) /
(interval upper limit) - (interval lower limit)
upper limit = 0
lower limit = -2
the functional values (y) are 6 and 10 at these points.
so, we get
(6 - 10) / (0 - -2) = -4 / 2 = -2
PLEASE HELP ME!!
find the Trinomial!
Answer:
[tex]a^{4}-2a^{2} -24[/tex]
Step-by-step explanation:
We do FOIL to solve this
1. Find the least common multiple of x² + x-12 and x² + 2x - 15
Least Common Multiple = (x-3) (x+5) (x+4)
Step-by-step explanation:
First we solve for x² + x-12
Factorise=> x² + 4x - 3x - 12
Taking common=> x ( x+4 ) - 3 (x+4 )
=> (x-3) (x+4)
Now we will solve for x² + 2x - 15
Factorise=> x² + 5x - 3x - 15
Taking common=> (x-3) (x+5)
we see here (x-3) is common in both the equations so We write it only 1 time as we have to find least common multiple .
Ans. Lest common multiples are = (x-3) (x+5) and (x+4)
Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?
The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
How to find the Area of a Sphere?We are given the volume of the sphere as 144π cubic units.
From the attached file, we see that the radius of the sphere is 6.
Formula for Volume of a Sphere is;
V = ⁴/₃πr³
Thus;
V = ⁴/₃π * 6³
V = 288π cubic units
Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.
Read more about Volume of Sphere at; https://brainly.com/question/10171109
#SPJ1
Giving Brainlist Please Help!!! A classmate incorrectly calculated the area of the parallelogram as 48 ft2. What is the correct area?
Answer:
D. 60 ft²
Step-by-step explanation:
Area formula :
base x heightSolving :
10 ft x 6 ft60 ft²Answer:
D. 60 ft2
Step-by-step explanation:
Area of a parrelleogram:
bxh
base x hieght
The base is 10ft, the height is 6 ft
(it cannot be 8ft because that line is slanted)
10x6=60ft2
Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house is 1003 miles. If their car gets 23.6 miles per gallon, how many gallons of gas will they need for the trip?
The total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have total distance between from their old house to their new house:
d = 1003 miles
The car travel 23.6 miles per gallon
So the total amount of the fuel needed = 1003/23.6 = 42.5 gallons
42.5 gallons fuel will be required to travel 1003 miles
For the return trip (considering 23.6 miles per gallon) the same amount of fuel will be needed.
So the total fuel needed including roundtrip = 42.5×2 = 85 gallons
Thus, the total amount of the fuel needed for the trip is 42.5 gallons if the distance from their old house to their new house is 1003 miles.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ1