Given that sinθ = 2/5 and 0 < θ < 90, what is the exact value of cscθ?
Please select the best answer from the choices provided
Answer:
5/2
Step-by-step explanation:
cscθ = 1/sinθ = 1/(2/5) = 1 x (5/2) = 5/2
We know,
[tex] \boxed{sin( \theta) = \frac{1}{csc( \theta)} }[/tex]
So,
=》
[tex] \dfrac{2}{5} = \dfrac{1}{ \csc( \theta) } [/tex]
=》
[tex] \csc( \theta) = \dfrac{5}{2} [/tex]
The Singh family ordered a large pizza with a diameter of 16 inches for dinner. If one of the members of the family ate one eighth of the pizza, how many square inches of pizza are remaining? Use 3.14 for π.
200.96 square inches
175.84 square inches
100.48 square inches
25.12 square inches
Answer: D
Step-by-step explanation: 25.12
Answer: The actual answer is (175.84 square inches)
Step-by-step explanation:
First, find the area of the pizza.
You need to use the formula for area of a circle: A = πr^2
or in words, the area of a circle is equal to pi times radius to the second power.
So find the radius which is half the diameter.
The diameter is 16 inches, so the radius is 8 inches.
Now raise 8 to the second power, meaning that you need to times 8 by 8
(8 * 8 = 64) Now you times 64 by pi or 3.14. (64 * 3.14 = 200.96)
That is the area of the entire pizza.
But you still need to find how many square inches are left after 1/8 is eaten.
If 1/8 is eaten, then that means the pizza is divided into eighths.
Take 200.96 and divided that by 8 to find how much the individual pieces are.
200.96/8 = 25.12
But you need to find what is left is the pizza, so times 25.12 by 7 because that is how many pieces are left. 25.12 * 7 = 175.84
Sorry for the long explanation, but here is proof that the answer is correct. I took the same test and got the answer right
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Have a good day
5,000 x 300,000 +50 -300 +4,200 x 2 - 5 x 255 =
Answer:
1500006875
Step-by-step explanation:
Multiply 2 numbers at a time
In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the __________. a. 1% rate, b. principal, c. number of periods, d. maturity values
In the sample compound interest rate tables presented in your reading material, the first column on the left-hand side of each table shows you the number of periods. Option C
What is the compound interest?When interest is computed, it is done so on the initial principal as well as all of the accrued interest from prior periods.
The ability of compound interest is defined as producing "interest on interest."
Any frequency schedule, including continuous, daily, and yearly, can be used to compound interest.
Money increases more quickly when compounded.
Formula is given as :
[tex]A = P(1 + \frac{r}{n})^n^t[/tex]
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help pls with the question
Answer:
fart
Step-by-step explanation:
SOMEONE HELP
Find sinD, sinE, cosD, and cosE. Write each answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
sinD = opposite/hypotenuse = 12/15 = 4/5
cosD = adjacent/ hypotenuse = 9/15 = 3/5
sinE = opposite/hypotenuse = 9/15 = 3/5
cosE = adjacent/ hypotenuse = 12/15 = 4/5
Mr Paul has 4 bars of chocolate. He distributes 1/3
of each bar to 4 children.
a) Write the fraction of chocolate distributed.
b) Write the fraction of cholates left with Mr. Paul
a) The fraction of chocolate distributed is given as follows: 4/3.
b) The fraction of chocolates left with Paul is given as follows: 8/3.
How to obtain the fractions?The fractions are obtained applying the proportions used in the context of this problem.
He distributes 1/3 of each bar to 4 children, hence the total number of bars distributed is given as follows:
4 x 1/3 = 4/3.
(multiplication of fractions, multiply the numerators and the denominators, keeping the quotient).
The total number of bars that Paul had initially is given as follows:
4 bars.
Then the fraction of chocolate remaining with Paul is given by the subtraction of the total amount of bars by the amount given to the children, as follows:
4 - 4/3 = 12/3 - 4/3 = 8/3 bars.
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What is 1653.78367 to the nearest ten square meter? Please help
Answer: 1653.8
Step-by-step explanation: Find the number in the tenth place 7 and look one place to the right for the rounding digit 8 . Round up if this number is greater than or equal to 5 and round down if it is less than 5.
elijah used 3/4 of the memory on his cell phone memory card if the memory card can hold 32 gigabytes how many gigabytes did elijah used
Elijah used 24 gigabytes memory on his cell.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Elijah used 3/4 of the memory on his cell phone memory card.
And, The memory card can hold 32 gigabytes.
Now,
Since, The memory card can hold 32 gigabytes.
And, She used 3/4 of the memory on his cell phone memory card.
Hence. The used memory = 3/4 of 32
= 3/4 × 32
= 3 × 8
= 24 gigabytes
Thus, Elijah used 24 gigabytes memory on his cell.
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Identify two segments that are marked congruent to each other on the
diagram below. (Diagram is not to scale.)
The two congruent segments in the figure are LJ and LI.
What is congruency?
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
In the figure, the two segments marked are LI and LJ these two segments are congruent to each other.
Congruency means the shape and the size of the segments will be equal to each other.
Hence, the two congruent segments in the figure are LJ and LI.
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The graph of the function y = f(x + 26) can be obtained from the graph of
y = = f(x) by one of the following actions:
Answer:
left 26 units
Step-by-step explanation:
inside the parentheses means left or right, and it also means opposite direction.
Answer:
this question answer Iis left 26 units..
Juan bought n packs of pencils. Each pack has 15 Write an equation to represent the total number of pencils p that Juan bought.
Answer:
15*n=p
Step-by-step explanation:
4. There are 36 units in a case. You have 90 loose units of stock in the store. The store manager has requested a stock count in CASES. How many cases of stock will 90 units fill? CALCULATION:
There are 36 pieces in one case. The store has 90 loose storage units. The store manager requested an inventory count where 2.5 units would fill her 90 units.
What is the inventory process like?Typically, this process involves the retailer (or team of employees) walking through the retailer's warehouse and storefront, counting each item. Information is captured manually using pen and paper or electronically using a mobile device.
Create a storage location map showing each shelf, bin, drawer, receiving dock, and return area. Place geographic divisions, not product lines, between each storage area. Let's start counting! After each counter completes a certain range, allow a manager or someone else to check the count.
90/36 = 2.5
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For every boy taking classes at the music school, there are 3 girls who are taking classes at the school. If there are 128 students taking classes, write and solve a proportion to predict the number of girls taking classes at the school.
Answer:
96
Step-by-step explanation:
A parabola has the following properties.
200R
Vertex at (-2, 1)
Directrix is x = 5
A
Which equation represents this parabola?
0 (x + 2) = (y – 112
O 28(x + 2) = (y - 1)2
o-28(x + 2) = (y - 1)2
O - (x + 2) = (y – 1)
Answer:
-28(x + 2) = (y - 1)²
Step-by-step explanation:
..............
The equation (y + 1)² = -12(x - 2) represents the given parabola.
What is a parabola?
A parabola is a U-shaped plane curve. It is assumed to be mirror symmetrical. A parabola is produced by the intersection of a right circular cone and a plane parallel to the cone.
The vertex is at (-2, 1) and the directrix is x = 5.
Therefore, the vertex of the given parabola is at 2nd quadrant.
Again, the directrix is also parallel to the y-axis.
As a result, the parabola will open towards the left.
The general form of a parabola is (y - k)² = 4a(x - h)
Here, h and k are x and y coordinates respectively of the vertex.
Now, the coordinates of the focus are (h + a , k) and the directrix is at x = h − a.
Therefore, h - a = 5 (as, x =5)
⇒ 2 - a = 5
⇒ a = -3
Therefore, the equation of the parabola is (y − k)² = 4a(x − h)
⇒ [y - (-1)]² = 4(- 3)(x - 2)
⇒ (y + 1)² = -12(x - 2)
The equation of the parabola that has a vertex (2 , -1) and a directrix
of x = 5 is (y + 1)² = -12(x - 2)
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In a survey of 1,000 women aged 22 to 35 who work full time, 545 indicated that they would be willing to give up some personal time in order to make more money. The sample was selected in a way that was designed to produce a sample that was representative of women in the targeted age group.
a. Do the sample data provide convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money? Test the relevant hypotheses using α = .01.
b. Would it be reasonable to generalize the conclusion from Part (a) to all working women? Explain why or why not.
Answer:
Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No ;
Step-by-step explanation:
n = 1000
x = 545
Phat = x / n = 545/1000 = 0.545
H0: p ≤ 0.5
H1: μ > 0.5
The test statistic :
(phat - p0) ÷ √(p(1 - P0) / n)
Test statistic :
(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)
0.045 / 0.0158113
Test statistic = 2.846
α = 0.01
Decison :
Reject H0 ; if Pvalue < α
Using the Pvalue from Test statistic (Z) calculator :
Pvalue = 0.002214
With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular
What is the value of x?
Answer:
23
Step-by-step explanation:
The given two triangles are congruent , by SSS congruence condition , therefore the corresponding sides will be equal .
=> x - 4 = 19
=> x = 19 + 4
=> x = 23
Ron and Ben had a total of 700 playing cards. After Ron gave away 40% of his playing cards and Ben gave away 20% of his playing cards, they each had an equal number of cards. How many more picture cards did Ron have than Ben at first?
The power generation plant of a ship is outfitted with two identical diesel-generator sets. One single set running stand-alone can meet the full power requirement of the vessel. The engine of each set has a malfunction probability of 25% and the generator of 10%. In case one set breaks down there is a 50% probability of it being repaired but it will run again only if repaired and its subsystems do not further malfunction upon startup. Calculate the probability of an electric power outage shipboard.
Answer:
probability of an electric power outage shipboard is 0.075 or 7.5 %
Step-by-step explanation:
Given the data in the question;
Probability of engine malfunction = 25% = 0.25
Probability of generator malfunction = 10% = 0.1
Probability of generator being repaired = 50% = 0.5
probability of an electric power outage shipboard = ?
To get the probability of an electric power outage shipboard, we use the expression;
probability of an electric power outage = 2[tex]_c_1[/tex] × p( Probability of generator malfunction ) × p( Probability of generator being repaired ) × ( 1 - p( Probability of engine malfunction ) )
so we substitute in our given values;
probability of an electric power outage = 2 × 0.1 × 0.5 × ( 1 - 0.25 )
probability of an electric power outage = 2 × 0.1 × 0.5 × 0.75
probability of an electric power outage = 0.075 or 7.5 %
Johnny bought 8 toy cars. The cars came in p packages. Write an expression that shows how many toy cars were in each package.
Answer:
p=8+x
Step-by-step explanation:
five less than four times a number is greater than or equal to 3. Is 2 a solution?
The statement five less than four times a number is greater than or equal
to 3 indeed has a solution results to 2.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A statement five less than four times a number is greater than or equal to 3.
Let, The unknown number be 'n'.
Therefore, The numerical form of the statement is,
4n - 5 ≥ 3.
4n ≥ 8.
n ≥ 2.
So, Yes 2 is a solution.
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If you can help me with these four questions I'll give you brainliest :))
Answer:
13. The mode is 265
14. The range is 42
15. The median is 250
16. The mean is 249
assignment due to be submitted on Monday. please solve this. please show every step in solving this.
in a pie chart tho population of men is 90° , women 120° and. children 150°,with a population of 3000. find the total population and number of men , number of women.
A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?
A: 473 miles
B: 54 miles
C: 483 miles
D: 55 miles
Calculate the state income tax owned on a 40,000 per year salary
Answer:
The state income tax to be paid will be $ 2,300.
Step-by-step explanation:
Given that an annual salary of $ 40,000 pays a state income tax of 5.75% of said value, to determine the total amount of tax to be paid, the following calculation must be made:
40,000 x 5.75 / 100 = X
230,000 / 100 = X
2,300 = X
Therefore, the state income tax to be paid will be $ 2,300.
HELP!
Will give branliest
Answer:
maybe 10
if this is wrong then sorry
Which model can be used to represent
the number below?
Answer:
0.7
Step-by-step explanation:
1/2x(4+6)+9 (prob EZ but i keep get 5 diff answers :/)
Answer:
5x+9
Step-by-step explanation:
Answer:
I got 14
Step-by-step explanation:
this is a unit test right answers only pls
Answer:
d
Step-by-step explanation:
took da test
The following table shows the coordinates for a triangle and the coordinates for its image. The triangle is mapped
onto its image by a dilation. Draw the triangle and its image on a coordinate plane.
Pls help! Thanks
Answer:
Th (0,0)
the centre of dialation