Answer:
4 cm
Step-by-step explanation:
Cylinder Volume formula:
V = πr²h
Given:
V = 240π
h = 15
Finding r:
V = πr²h
240π = πr²(15)
r² = 240π/15π
r² = 16
\(\sqrt{r^2} =\sqrt{16}\)
r = 4
Answer:
4 cm
Step-by-step explanation:
TTr^2h = 240TTcm^3(the TT cancel out)r^2 x 15 = 240cm^3(divide both sides by 15)r^2 = 16(square root both sides)r = 4cmWhich of the figure has reflectional symmetry
A. Figure C
B. Figure B
C.Figure D
D.Figure A
The figure that shows a reflectional symmetry would be figure C. That is option A.
What is reflectional symmetry of shapes?The reflectional symmetry of shapes is defined as the type of symmetry where one-half of the object reflects the other half of the object.
This is also called a mirror symmetry. This is because the image seen in one side of the mirror is exactly the same as the one seen on the other side of the mirror.
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Two angles of a triangle have the same measure and the third one is 9 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
Answer: The LARGEST angle has a measure of
degrees.
The largest angle of the triangle is ∠C = 66°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
Now , the measure of ∠A = measure of ∠B = x
And , the measure of ∠C = measure of ∠A + 9°
Substituting the values in the equation , we get
x + x + ( x + 9 ) = 180
On simplifying the equation , we get
3x + 9 = 180
Subtracting 9 on both sides of the equation , we get
3x = 171
Divide by 3 on both sides of the equation , we get
x = 57°
So , the measure of ∠A = 57°
Now , the measure of ∠C = 57 + 9 = 66°
Hence , the measure of ∠C of triangle is 66°
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What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The value of side TS is,
⇒ TS = 28
First, we are going to divide the figure and named new points X and Y as:
Now, we know that TS is the sum of TX and XS.
TS = TX + XS
Additionally, TX has the same length of HJ, so:
TX = HJ = 14
Now, we want to know the length of YK, and we can calculate it using the following equation:
LK = LY + YK
LY = HJ,
so, LY = 14
And, 42 = 14 + YK
42 - 14 = YK
28 = YK
Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:
XS = YK/2
XS = 28/2
XS = 14
Therefore, TS is equal to:
TS = TX + XS
TS = 14 + 14
TS = 28
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10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
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14. Simon earned 400sh as a for goods sold what Commission 15,000 worth so, 600 could be his varnings for a total sale of 7,000
His total earnings for a total sale of 7,000 could be 1450sh
How to determine his earnings for a total sale of 7,000.From the question, we have the following parameters that can be used in our computation:
Salary = 400
Commission = 15%
using the above as a guide, we have the following:
Total earnings = 400 + 15% * Total sales
So, we have
Total earnings = 400 + 15% * 7000
Evaluate
Total earnings = 1450
Hence, the total earnings is 1450
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Question
Simon earned 400sh weekly for goods sold and a commission of 15%
What could be his earnings for a total sale of 7,000.
Presto Corp. had total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000. Compute the required sales in dollars to break even.
Answer:
$230,000
Step-by-step explanation:
Contribution margin = Sales - Variable costs
=($250,000 - $137,500)
= $112,500
Contribution margin ratio = Contribution margin ÷ Sales
= ($112,500 ÷ $250,000)
= 0.45
Basically
Break-even sales = Fixed expenses ÷ Contribution margin ratio
=($103,500 ÷ 0.45)
= $230,000
The required sales in dollars to break even is $275,000.
Given that, total variable costs of $180,000, total fixed costs of $110,000, and total revenues of $300,000.
What is a total revenue?Total revenue is the total amount of money a company brings in from selling its goods and services. It determines how well a company is bringing in money from its core operations based on demand and price.
The contribution margin ratio = Contribution margin/Sales revenue
= (300,000 - 180,000 = 120,000)/300,000
= 40%
Break-even point in dollars = Fixed cost/Contribution margin ratio
= 110,000/0.40
= $275,000
Therefore, the required sales in dollars to break even is $275,000.
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QUICK HELP PLS!! Tell all steps :) 100 POINTS!!
The two triangles above are similar.
Find x using the ratio of the sides 12 cm and 16 cm:
x
20
=
12
16
. Show your work.
Find x using the ratio of the sides 6 cm and 8 cm. Show your work.
Explain why the answers to (a) and (b) should be the same.
a. Using the ratio of the sides 12 cm and 16 cm
x/20 = 12/16
x = (12(20)) / 16 = 15
b. Using the ratio of the sides 6 cm and 8 cm
x/20 = 6/8
x = (6(20)) / 8 = 15
c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.
Hope this answer will be a good help for you.
if you could fly and every hour u loose 30 feathers in 14 days how many feathers did you loose?
The total number of feathers lost in 14 days if you lose 30 feathers every hour is 10,080 feathers.
How many feathers will you loose?Feathers lost every hour = 30 feathers
How many feathers is lost in 14 days?
1 day = 24 hours
14 days = 24 × 14
= 336 hours
Total number of feathers lost in 14 days = Feathers lost every hour × number of hours in 14 days
= 30 × 336
= 10,080 feathers
Therefore, the total number of feathers lost in 14 days is 10,080 feathers
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A man is 4 times as old as his son. In 5 years time he will be 3 times as old as his son. What is the present age of the son in years.
Answer: 40 years old.
Step-by-step explanation:
Let man's age = a
Let son's age = b
Since a man is 4 times as old as his son, therefore
a= 4b
In 5 years, he will only be 3 times as old as his son, therefore
a+5=3(b+5)
Apply substitution method :
4b+5=3b+15
b=10
a=40
does the graph represent a function
Answer:
no this is not a function
Step-by-step explanation:
because if you do the line test it touches both of the lines its kinda hard to explain but yeah
I’m having trouble solving this question can someone please help me out!!!
Answer:
Step-by-step explanation:
The answer is A
What is the slope of a line perpendicular to the line 6x-y=2?
Answer:
C) -1/6
Step-by-step explanation:
Slope of perpendicular line = -1/m
6x - y = 2
Slope - y-intercept form:
-y = -6x + 2
Divide the equation by (-1)
y = 6x - 2
m = 6
Slope of perpendicular line = -1/m = -1/6
In a large vase, there are 5 roses, 8 daisies, 7 lilies, and 5 orchids. If 4 flowers are selected at random, and not replaced, find the probability that at least one of the flowers is a rose.
Given 5 roses, 8 daisies, 7 lilies, and 5 orchids.
Total number of flowers = 5 + 8 + 7 + 5 = 25 flowers
Total number of flowers minus rose = 8 +7 + 5 =20 flowers
If 4 flowers are selected and not replaced, the probability that at least one of the flowers is a rose
The probability formula is:
\(P(E)=\frac{N\text{(Required outcome)}}{N(\text{possible outcome)}}\)\(\begin{gathered} P(at\text{ least one is rose)= 1 - }P(\text{no rose)} \\ P(no\text{ rose)=}\frac{20C_4}{25C_4} \\ =0.3830 \end{gathered}\)Therefore,
\(\begin{gathered} P(at\text{ least one is rose) = 1 - 0.3830} \\ =\text{ 0.6170} \end{gathered}\)The Probability that at least one of the flowers is a rose is 0.617
find value of x from the given figure
For a normal distribution with mean 0 and standard deviation 1, which of the following Python lines outputs the probability P(x<0.325)?
Question 1 options:
a)
import scipy.stats as st
print(st.norm.cdf(0.325, 0, 1))
b)
import pandas as pandas
print(st.norm.pdf(0.325, 0, 1))
c)
import scipy.stats as st
print(st.norm.sf(0.325, 0, 1))
d)
print(normal(0.325, 0, 1))
Python lines to get the output for the probability P(x<0.325) are -
a) import scipy.stats as
st print(st.norm.cdf(0.325, 0, 1))
Hence, option a is the correct answer.
The Python code -
import scipy.stats as
st print(st.norm.cdf(0.325, 0, 1))
This line of code imports the scipy.stats module as "st", and then uses the norm.cdf function to calculate the cumulative distribution function (CDF) of a normal distribution with mean 0 and standard deviation 1, evaluated at x=0.325.
The CDF gives the probability that a random variable from the normal distribution is less than or equal to a certain value, so this line of code is outputting the probability P(x<0.325).
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Order this set of numbers from greatest to least. Then explain the order, referring to the number line in your explanation.
-1.79, 2, 2.54, -4
Answer:
-4,-1.79,2,2.54
Step-by-step explanation:
You'll have to do the explanation yourself, but here are a few pro tips!
-Explain which numbers are farthest from 0.
-Explain where each number will go on the plot.
-Use words like farthest, less than, greater than, negative, and integer.
-Make your explanation at least 2 sentences long!
You got this, I know you can do it-! Have a meme to help! <3
the sonar system that detect a sunken ship 1500 m ahead with an angle of elevation of 90° to the highest part of the sunken ship. How many meter is Mr. submarine rise to pass over the sunken ship?
The value of tangent (90°) is 1, so the rise in distance for the submarine to pass over the sunken ship is 1500 m.
What is value?Value is the worth of something as measured by its usefulness, importance, or desirability. It is something that is sought after and appreciated by individuals and society. Value is subjective and can vary among people and cultures, but can be broadly defined as the quality of something that makes it worth having or doing.
To calculate the distance the submarine must rise to pass over the sunken ship, we must use the tangent function. The tangent of an angle is equal to the opposite side (in this case, the rise in distance for the submarine) divided by the adjacent side (in this case, the 1500 m distance to the sunken ship).
Therefore, the formula to calculate the rise in distance for the submarine is:
Tangent (90°) = Rise / 1500 m
Solving for the rise, we get:
Rise = 1500 m x Tangent (90°)
Using a calculator, the value of tangent (90°) is 1, so the rise in distance for the submarine to pass over the sunken ship is 1500 m.
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Because the tangent (90°) value is 1, the distance travelled by the submarine to cross over the sunken ship is increased by 1500 m.
What are trigonometric angles?Trigonometric angles are the angles in a right-angled triangle that can be used to illustrate various trigonometric functions. Standard angles in geometry include 0°, 30°, 45°, 60°, and 90°. The trigonometric functions are real functions that link the angle of a right-angled triangle to side length ratios. The sine, cosine, and tangent angles are the main classification of trigonometric functions. The primary functions can be used to determine the three functions cotangent, secant, and cosecant.
According to the question draw the graph we should solve the length of BC
tan A = BC/AC
tan90° = BC/1500
BC = 1500 tan90°
= 516.5 (m)
The value of BC is 516.5 m
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A bakery sold apple pies for $11 and blueberry pies $13 one Saturday they sold a total of 38 pies and collected a total of $460 how many apple pies did they sell and how many blueberry pies did they sell
Answer:
21 blueberry pies and 17 apple pies
Step-by-step explanation:
Apple pie - 11
Blueberry pie - 13
total pie- 38
Total money - 460
let x = apple pie, y = blue berry pie
x+y=38
x=38-y
11x + 13y =460
11(38-y) + 13y = 460
418-11y +13y = 460
2y=42
y=42/2 =21
x=17
A $35 item is marked as 25% off. What is the discounted price?
Answer:
$26.25
Step-by-step explanation:
35×.25=8.75
35-8.75= 26.25
plz give me brainliest
Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
82°
118°
95°
X°
Image not to scale
Calculate the missing angle x.
Answer:
x = 65
Step-by-step explanation:
the sum of the interior angles of a quadrilateral = 360°
sum the angles and equate to 360
x + 95 + 118 + 82 = 360
x + 295 = 360 ( subtract 295 from both sides )
x = 65
Need help with angles brainlest and points
Answer:
14
Step-by-step explanation:
Answer:
A, x=14
Step-by-step explanation:
We know that <HJL is a right triangle, therefore 90 degrees.
<HJK + < KJL = <HJL
<HJK + 50 = 90
<HJK = 40
We replace HJK with 3x-2
3x-2 =40
3x=42
x= 14, A
I hope this helped! :)
what is the inverse function of f(x)=-1/4x +5 Select all that apply
A: f1^1(x)=-x/5+4
B: f1^1(x)=-4(x-5)
C: f1^1(x)=-4x-5
D: f1^1(x)= -4x+20
mother went to savers mall to buy disinfectant, she spent php 89.75 for an alcohol, php68. 35 for a clorox, and a pack of safe guard for php145.25 .How much she did spend on all?
Step-by-step explanation:
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I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 11
Answer:
Step-by-step explanation:
You want to use a trig identity. You have the side opposite, O and the side adjacent A, therefore use tangent:
\(tan(x)=\frac{O}{A}\)
Substitute in your values and solve:
\(tan(30)=\frac{x}{5}\)
\(x=\frac{5\sqrt{3} }{3}\) or 2.9
If I helped, a brainliest answer would be greatly appreciated!
(5ytohte power 2+2y+7)-(3yto the power two +y+5) find the product with steps
Step-by-step explanation:
Finding products
\((5y^{2 + 2y + 7} ) \times (3y^{2 + y + 5}) \\ = 5 \times 3 \times {y}^{2 + 2y + 7 + 2 + y + 5} \\ = 15 {y}^{3y + 14} \)
Hope it helps :)❤
A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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The cross-section of the prism below is an equilateral triangle.
a) What is the area of the shaded face?
b) How many rectangular faces does the prism have?
c) What is the total area of these rectangular faces?
(shape is below in the attached picture)
Answer:
a) (9 cm)(7 cm) = 63 cm²
b) This prism has three rectangular faces.
c) 3(63 cm²) = 189 cm²
Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line