Answer:
[tex]\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\[/tex]
[tex]\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}[/tex]
[tex]\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}[/tex]
The initial price of a horse is $13,000. it is discounted by
20% and then by a further 18%. find the price of the item.
Answer:
12971
Step-by-step explanation:
13000-20-18 = 12971
Answer:
8060$
Step-by-step explanation:
20%+18%=38%
13000*38%=4940
13000-4940=8060 $
A veterinarian finds that weights for the population of each dog breed tend to be approximately normally distributed. The mean weight of beagles is 25 pounds with a standard deviation of 3 pounds. The mean weight for Great Danes is 150 pounds with a standard deviation of 20 pounds. About 68% of beagles weigh between 22 and 28 pounds. Consider these values in terms of the mean and standard deviation only. The interval that would represent a similar percentage of Great Danes would fall between
Using the Empirical Rule, it is found that the interval that would represent a similar percentage of Great Danes would fall between 130 and 170 pounds.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.68% fall within 1 standard deviation of the mean, hence for the Great Danes, the values are given as follows:
150 - 20 = 130 pounds.150 + 20 = 170 pounds.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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1000 milliliters is equivalent to ____ cups
Answer:
4.22675 cups are equal to 1000 milliliters
Step-by-step explanation:
1000 milliliters is equivalent to __4.22675__ cups
Hope This Helped
Answer:
4.22675
Step-by-step explanation:
Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 680 grams, how much of the element would remain after 19 years, to the nearest whole number?
Answer:
410 g
Step-by-step explanation:
Radioactive decay can be modeled by an exponential equation. The amount remaining (y) after a time period (t) can be expressed in terms of the initial amount (a) and the half-life (h).
y = a(1/2)^(t/h)
__
We can use this equation with the given values to find the amount remaining.
y = (680 g)(1/2)^((19 yrs)/(26 yrs)) ≈ (680 g)(0.602583)
y ≈ 410 g
About 410 grams of element X will remain after 19 years.
Show problem set up for full credit.
Answer:
∠ QPR = 125°
Step-by-step explanation:
the angles subtended by 2 congruent arcs are congruent , that is
5x = 4x + 25 ( subtract 4x from both sides )
x = 25
Then
∠ QPR = 4x + 25 = 4(25) + 25 = 100 + 25 = 125°
Answer question 6 for me thanks
Answer: its c
Step-by-step explanation: im a smarty boy i hope u its right or not
A set of data has a normal distribution with a mean of 46 and a standard deviation of 7. Find the percent of data within the following interval.
less than 46
The percent of data within the given interval is what percent?
Answer:
50%
the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%
Does this graph represent a function? Why or why not?
8-
-10 804
-10-
OA. Yes, because it passes the vertical line test.
B. No, because it fails the vertical line test.
OC. Yes, because it is a curved line.
O D. No, because it is not a straight line.
*+
The graph represents a function because (a) Yes, because it passes the vertical line test.
How to determine the temperature at midnight?The information that completes the question is added as an attachment
For a graph to represent a function, the graph must pass a vertical line test.
The vertical line test is such that a line drawn from the x-axis must intersect with the graph at only one point.
Based on the criteria above, the given graph would pass the vertical line test.
Hence, the graph represents a function because (a) Yes, because it passes the vertical line test.
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I NEED HELP ASAP PLEASE I WILL GIVE BRAINLIEST
Simplify:
| -1/2 - 1/8| + ( -3/4 + 5/6)
A. 1/12 B. -5/8 C. -13/24 D. 17/24
Answer:
0.705
Step-by-step explanation:
| -1/2 - 1/8| + ( -3/4 + 5/6)
| -1/2 - 1/8| + ( -0.75 + 0.83)
| -1/2 - 1/8| + 0.08
| -0.5 - 0.125| + 0.08
|-0.625| +0.08
0.625+0.08
0.705
hope it helps
Solve system of equation using elimination by addition.
Will give brainliest!!
Answer:
[tex]x = 2, y = -3[/tex]
Step-by-step explanation:
Add the 2 equations together, then solve for x.
[tex](2x + 2y) + (3x - 2y) = (-2) + (12)\\ 2x + 3x + 2y - 2y = -2 + 12\\5x = 10\\x = 2[/tex]
Now that we know the value of x, we can easily find y by substitution.
[tex]3x - 2y = 12\\3(2) - 2y = 12\\6 - 2y = 12\\-2y = 6\\y = -3[/tex]
These are the answers
- Kan Academy Advance
Find the surface area of the square pyramid. Enter your answer in the box.
A square pyramid. The side length of the base is 11 centimeters. The height of each of the 4 triangular faces is 10 centimeters.
cm2
Answer:
341 cm²
Step-by-step explanation:
Formula :
Surface area = Area of 4 triangle faces + Area of square base
===============================================================
Solving :
⇒ Surface area = 4 × 1/2 × 11 × 10 + 11²
⇒ Surface area = 2 × 110 + 121
⇒ Surface area = 220 + 121
⇒ Surface area = 341 cm²
The surface area of the square pyramid is 341 square centimeter.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The surface area of a square pyramid is calculated by the equation S = B + 1/2 × P × S
where B is the area of the base,
P is the perimeter of the base, and
S is the slant height of the pyramid.
the area of the base =11×11
B=121 square centimeter
The perimeter of the base = 2(11+11)
P= 44 cm
Slant height (S) is 10 cm.
Surface Area = 121 + 1/2 (44×10)
=121+220
=341 square centimeter
Hence, the surface area of the square pyramid is 341 square centimeter.
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If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?
How many 4 letter arrangements can be made by using different letters from the word hexagon
Answer:
I can find at least 10 4-letter words out of hexagon.
Step-by-step explanation:
1.) Hexa (means 6)
2.) gone
3.) nage (a type of bullion)
4.) gane (to yawn)
5.) hage (a frightening old woman; a witch)
6.) hane (ghostly)
7.) axon (a part of a nerve cell)
8.) hang
9.) oxen
10.) hoax
the values in the table represent a linear function.
Answer:
B
Step-by-step explanation:
just find the equal difference of y values.
Step-by-step explanation:
to add to the explanation :
an arithmetic sequence is defined as
an = an-1 + d
so, every term of the sequence is created by adding the same constant d (the common difference) to the previous term.
therefore, you find the common difference by finding the difference of 2 sequential terms.
like here e.g.
a3 = 38
a4 = 53
53 - 38 = 15
bingo !
and to verify that it truly is an arithmetic sequence, we can quickly also check the differences between the other pairs. yes, they are all 15.
be prepared for a trap like
1 8
2 23
3 38
5 68
notice the sudden jump in x ? suddenly x is increased by 2.
that just means we compare
an and an-2 instead of an-1.
so, how is related to an-2 ?
an = an-1 + d = (an-2 + d) + d = an-2 + 2d
and so we would get
a3 = 38
a5 = 68
a5 - a3 = 2d = 30
d = 15
so, don't get confused by such jumps or gaps.
the table shows the results of rolling a die several times. To the nearest percent, what is the experimental probability of rolling a 6?
The experimental probability of rolling a 6 will be 13.3%
How to calculate the probability?The probability will be calculated thus:
= Number of times that 6 occured / Total number if outcomes
= 4/(7 + 4 + 4 - 5 + 6 + 4)
= 4/30
= 0.133
= 13.3%
Therefore, the probability is 0.133 or 13.3%.
Table shows the results of rolling a die several times.
outcome: 1, 2, 3, 4, 5, 6
number of times outcome occurred: 7, 4, 4, 5, 6, 4
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Please help me with this one.
Answer:
V = 16W = 48Step-by-step explanation:
The triangles are congruent when corresponding sides are congruent.
__
ΔFGH ≅ ΔABC means corresponding sides are ...
(GH, BC) = (V, 16)
(HF, CA) = (48, W)
Corresponding sides being congruent means ...
V = 16
W = 48
It takes a bird 6 minutes to fly with a 10 mph tailwind from its nest to a bird
feeder. It takes 30 minutes for the bird to get back to its nest. What is the bird's
speed in still conditions? How far away is the bird feeder?
Answer:
The bird's speed is 50mph.
The bird's feeder is 25 miles away.
Step-by-step explanation:
10/6=x/30
6*x=30 is 6/30=x
x=5
6*5=30 so 10*5=50
x=50
mph/time=distance per hour
50/(1/2)=25 miles
What is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)
Answer:
f(x) = 3x + 9: y - intercept is option c. (0,-9)
f(x) = 3x - 9: y - intercept is option b. (0, 9)
Step-by-step explanation:
option a and d cant be correct since y = 0 in those answer when the y - intercept is when x = 0
If the function f(x) = 3x + 9
than x = 0
f(x) = 3(0) + 9
f(x) = 0 + 9
f(x) = 9
x = 0 and y = 9 (0, 9)
If the function f(x) = 3x - 9
than x = 0
f(x) = 3(0) - 9
f(x) = 0 - 9
f(x) = -9
x = 0 and y = -9 (0, -9)
4. You are packing clothes for vacation and don't want to take any t-shirts. You randomly choose 3 shirts from a drawer containing 4 t-shirts, 3 polo shirts, and 3 button-downs.
a. What is the probability that the first 3 shirts are t-shirts when you replace each shirt before choosing the next one?
b. What is the probability that the first 3 shirts are t-shirts when you do not replace each shirt before choosing the next one?
*I know this is a lot, but it would really help me out if someone could help me out, I don't know how to describe it, but thanks.*
Answer:
A. 3/10
B.1/7
Step-by-step explanation:
What is the area of triangle ABC?
Answer: The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height
Step-by-step explanation:
Area of ΔABC= 1/2 × Base × Height = 1/2 × h × BC
If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.
Thus, we have seen the formula and definition of the area of triangle ABC.
Pls help and can you show work or equation
Answer:
648 in^2
Step-by-step explanation:
your must find the surface area of the rectangular prism
this can be modelled by
2(9 * 9) + 2(13.5 * 9) + 2(13.5 * 9)
or
2(9 * 9) + 4(13.5 * 9)
then you do whats inside the parenthesis
2(81) + 4(121.5)
and lastly you multiply and add
162 + 486 = 648
the answer is 648 in^2
This set of points is on the graph of a function.
{(-3, 9), (-1, 1), (0, 0), (2, 4)}
Which points are on the graph of the inverse?
Select each correct answer.
(-9, 3)
(1, − 1)
(4,2)
(0, 0)
Answer:
Points on the inverse are [tex](1,-1), (4,2), \text{and } (0,0)[/tex]
Step-by-step explanation:
When writing the inverse function of a set of points, you simply switch the coordinates:
[tex]\text{Function}: (x,y)\\\text{Inverse}: (y,x)[/tex]
We are given the points
[tex](-3,9), (-1,1), (0,0), \text{and } (2,4)[/tex]
Using our rule for function, our new points will be
[tex](9,-3), (1,-1), (0,0), \text{and } (4,2)[/tex]
From the list, the points we have for the graph of the inverse are
[tex](1,-1), (4,2), \text{and } (0,0).[/tex]
If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.
Answer:
Step-by-step explanation:
PLEASE HELP
What is the area of the whole target?
Select the correct answer.
Answer:
The first one with the number 38
Step-by-step explanation:
help me please i still struggle
Answer:
59 degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees
Angles in a triangle add up to 280 degrees
180 minus 149 is 31
31 add 90 is 121
180 minus 121 is 59
What is the answer in this question
Answer:it's 24
Step-by-step explanation:
its multiplying the 5, 6 times
what is a phrase that 18c can represent (written answer)
A phrase that 18c can represent is the product of 18 and a number c
How to determine the phrase?The expression is given as:
18c
Rewrite as:
18c = 18 * c
The above represents the product of two factors; 18 and c
Hence, a phrase that 18c can represent is the product of 18 and a number c
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The water in a fish tank is treated by using 5 millilitres of AquaGuard for every 10 litres of
water in the tank.
Write down the ratio of the volume of AquaGuard used to the volume of water in the tank.
Give your answer in the form 1 : n
Which of the following is an example of combination?
a
Form a passcode with 4 digits
b
Choose President, Vice-President and Secretary.
c
Choose 4 students in a class committee out of 35 members
d
Students line up to go to an assembly.
Order matters is permutation
Order doesn't matters is combination
So
The correct combinations are
Choose President, Vice-President and Secretary.Choose 4 students in a class committee out of 35 membersHelpppp asap : two non-vertical lines are parallel if they have the same slope and different y-intercepts.
true
false