Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
What is the value of cosec (180°+α)?The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
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help with the function and equations question below
The total charge (in dollars) for a rental that includes insurance is C = 0.85M + 22.65.
The given equations are S = 0.60M+17.75 and I = 0.25M+4.90.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let C be the total charge (in dollars) for a rental that includes insurance.
Total charge = Standard charge + Insurance charge
That is, C = S + I
Total charge = C = 0.60M + 17.75 + 0.25M + 4.90
= (0.60M + 0.25M) + 17.75 + 4.90
= 0.85M + 22.65
Therefore, the total charge (in dollars) for a rental that includes insurance is C = 0.85M + 22.65.
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Triangle D E F is shown with point P at the center. Lines are drawn from each point of the triangle to point P. Line segments are drawn from point P to the sides of the triangle to form right angles and line segments P H, P J, and P G. The length of F J is 3 x minus 1, the length of J E is x + 3, the length of H E is 4 y minus 3, and the length of H D is 9.
Given that point P is equidistant from the vertices of ΔDEF, what is EF?
EF =
Answer:
the answer is 10
Step-by-step explanation:
i got it right on edge 2020
Answer:
EF= 10
Step-by-step explanation:
PLEASE PLEASE HELP!!!! WILL GIVE BRAINLIEST!Which system of inequalities is represented by the graph?
Answer:
I'm sorry I don't have the answer but I'm sure someone will help you
Step-by-step explanation:
im really sorry
verify that :- 5/8x(7/9-11/6)=(5/8x7/9)-(5/8x11/6)
please answer
the fraction that is after the = is 1/125
also ignore what’s above question 7!
The requried simplified value of x in the expression \(5^{(3-x)} = 1/125\) is x= 6.
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
We can start by simplifying the right-hand side of the equation:
\(1/125 = 5^{-3}\)
So we can rewrite the equation as:
\(5^{(3-x)} = 5^{-3}\)
Now we can use the property that if \(a^x = a^y\), then x = y, as long as a is not zero. In this case, a is 5 and it is not zero, so we can apply this property,
3-x = -3
Adding x to both sides, we get,
3 = x - 3
Adding 3 to both sides, we get,
6 = x
Therefore, x = 6.
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The image below shows two dilated figures with lines IJ and JK drawn. If the smaller figure was dilated by a scale factor of 2, what relationship do lines IJ and KL have?
Answer:
IJ = 2*KL
Step-by-step explanation:
Given that the smaller figure was dilated to create the bigger figure with a scale factor of 2, it therefore means, the dimensions of the smaller figure was increased by times 2 of its dimensions to create the bigger figure.
Thus, the relationship that would exist between line IJ and KL, is that IJ is twice the size of KL.
The relationship is: IJ = 2*KL
how many different dialysis tubing sections will you need for the dialysis experiment, and what solution will be placed into each piece of tubing?
For a dialysis experiment, we will need two different sections of dialysis tubing.
One section of dialysis tubing should be filled with a solution containing the molecule or compound you wish to isolate. This solution should be placed in a container and the dialysis tubing should be submerged in the solution.
The second piece of dialysis tubing should be filled with a dialysis buffer, which will act as the medium for the experiment. This solution should also be placed in a container and the dialysis tubing should be submerged in the solution.
The two sections of dialysis tubing should then be connected together with a clamp or a knot, and the experiment can begin. This setup will allow the molecule or compound to move from the first section of dialysis tubing, across the dialysis membrane, and into the second section of dialysis tubing.
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can you please help me?
The measure of angle A from the given cyclic quadrilateral is 137°.
From the given circle, ∠C=43°.
A cyclic quadrilateral is a four-sided figure where each of the four points of the figure lies on a single circle. This means that all four angles of the quadrilateral measure exactly 90 degrees. A cyclic quadrilateral is sometimes also referred to as a circumscribed quadrilateral because it is defined by the circle around it.
We know that, the sum of opposite angles of cyclic quadrilateral is 180°.
Here, ∠A+∠C=180°
∠A+43°=180°
∠A=180°-43°
∠A=137°
Therefore, the measure of angle A from the given cyclic quadrilateral is 137°.
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g 5. Measurements of the length in centimeters of a sample of 29 fish yielded an average length of 16.82 and variance 34.9. Determine the size of a new sample so that the true mean length is estimated with the margin of error of 0.5 centimeters with 95% confidence.
A new sample size of at least 537 fish to estimate the true mean length with a margin of error of 0.5 centimeters and 95% confidence.
To determine the size of a new sample so that the true mean length is estimated with a margin of error of 0.5 centimeters with 95% confidence, we need to find the standard error of the mean and use it in the formula for the margin of error.
The formula for the margin of error is: ME = z * (σ/√n)
where z is the z-score corresponding to the desired confidence level, σ is the standard deviation of the population, and n is the sample size.
We can estimate the standard deviation of the population using the sample variance, which is given as 34.9.
The standard deviation is the square root of the variance, so σ = √34.9
= 5.91.
To find the standard error of the mean, we divide the standard deviation by the square root of the sample size:
SEM = σ/√n
= 5.91/√n We want the margin of error to be 0.5 centimeters, so we can set up the equation:
0.5 = z * (5.91/√n)
To solve for n, we need to know the value of z for a 95% confidence level.
This corresponds to a z-score of 1.96. Substituting this into the equation gives: 0.5 = 1.96 * (5.91/√n)
Simplifying and solving for n gives: √n = 1.96 * (5.91/0.5) √n
n =(23.18)
n = 537
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Which of the following is true of the angle shown? Question 10 options:
A) The angle is not in standard position.
B) The terminal side of the angle lies in quadrant II.
C) The measure of the angle is greater than 360°.
D) The angle can be measured in radians only.
Answer:
The measure of the angle is greater than 360°.
please answers this
Answer:
shusidvxxosbsbzbz
Step-by-step explanation:
usjzkdofjfbf
Answer:
50 degree for X look at pic attached
solve the system by elimination (show work)
x+4y=22
4x+y=13
Step-by-step explanation:
elimination means that we multiply one or both equations by certain numbers, so that the sum of terms of the same variable across both equations is 0.
then the sum of both equations is one equation in one variable.
with the solution of that we go into any of the original equations to solve for the second variable.
I suggest in our case to multiply the first equation by -4. and then x add both equations.
-4x - 16y = -88
4x + y = 13
----------------------
0 - 15y = -75
y = -75/-15 = 5
with this y = 5 we go e.g. into the second original equation.
4x + 5 = 13
4x = 8
x = 8/4 = 2
what is b^2 = 49 on khan academy
Answer:
b=7
Step-by-step explanation:
7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.
can someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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Ms. Flores paints a square-shaped
section of a fence with an area of 75
square feet. What is the approximate
side length of the section she paints?
A. 8.9
B. 8.3
C.8.1
D.8.6
Can someone help me with this?
HELP ME!!!!!!!!!!!!!!!!
Answer:
A. 9
Step-by-step explanation:
Since there are 27 dogs and 3 per kennel you would divide 27 by 3.
Answer:
9 kennels, 3 dogs per kennel
Step-by-step explanation:
A sound wave is traveling at 6,420m/s and has a frequency of 600Hz. What is the wavelength?
Answer:
10.7 m
Step-by-step explanation:
Given that,
The speed of a sound wave, v = 6,420 m/s
The frequency of the wave, f = 600 Hz
We need to find the wavelength of the wave. We can find it using the below relation as follows :
\(v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{6420}{600}\\\\\lambda=10.7\ m\)
So, the wavelength of the sound wave is equal to 10.7 m.
Factor out the GCF:
16n^2 + 10n
Answer:
2n(8n + 5)
Step-by-step explanation:
you need to see what you can take out of both the numbers.
ex they both have an 'n' and they both are divisible by 2
59 + 4/9y
y= -1/2
Thank you
Answer:
=
4 /9 y+59
Step-by-step explanation:
Answer: 58.78 or 58 and 7/9ths
Step-by-step explanation:
59+4/9(-1/2), 59-2/9=58.78 or 58 and 7/9ths
Which of the following expressions are equivalent to this expression: –1(0) = ? im lazy and dont wanna do it
Answer:
0
Step-by-step explanation:
Okay...um. Any number times 0 is 0 so the expression you choose should equal 0.
24 A transformation maps A(-1, -2), B(3, 4), and C(2, 4) onto A (3,-4),
B'(7, 2), and C (6, 6). Determine if the transformation is a translation.
Choose all that apply.
vbs, all pairs of corresponding points have moved in the same direction
by the same distance.
No, one or more pairs of corresponding points have not moved the
same distance.
No, one or more pairs of corresponding points have not moved in the
same direction.
Solve it
Answer:
Hey there!
No, one or more pairs of corresponding points have not moved the
same distance.
Let me know if this helps :)
HELP ME PLEASE!!! I NEED HELP!
For the whole numbers:
24
26
23
25
21
46
63
57
75
91
1. 24 and 23.8
2. 26 and 25.7
3. 23 and 22.8
4. 25 and 24.8
5. 21 and 20.9
6. 46 and 46.3
7. 64 and 63.7
8. 56 and 56.5
9. 75 and 74.6
10. 91 and 90.7
When rounding, whether it's a whole number or a decimal, you would round up if the number next to it is 5 and up. You wouldn't change the number next to it if it's below 5.
If you have any further question, please reach out to me :)
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The length of the ladder is 9 feet. Find to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground.
Answer:
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:
|\
| \
h | \ 9 ft
| \
| \
| \
-------
6 ft
Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.
Using the right triangle, we can write:
sin(θ) = h / 9
cos(θ) = 6 / 9 = 2 / 3
We can solve for h using the Pythagorean theorem:
h^2 + 6^2 = 9^2
h^2 = 9^2 - 6^2
h = √(9^2 - 6^2)
h = √45
h = 3√5
So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:
θ = sin^-1(√5 / 3)
θ ≈ 37.5 degrees
Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.
hello, and good morning ppl!!
what´s \(\sqrt{70* 70}\)
Answer:
\(\sqrt{70\times70}\)
\(70\times70=4900\)
\(=\sqrt{4900}\)
\(=70^2\)
\(=\sqrt{70^{2} }\)
\(=70\)
OAmalOHopeO
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
Is -5 equal to 5? I need help
Answer:
yes
Step-by-step explanation:
which of the following basic functions is equivalent to the piecewise-defined function f(x)= x if x≥0 −x if x<0 ? question content area bottom part 1 a. f(x)= 1 x b. f(x)=x c. f(x)=x2 d.
The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.
Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.
The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.
In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.
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A triangle has an area of 64 square feet. If the height of the triangle is 8 feet more than its base, x, what are its height and base?
Answer:
8 feet
Step-by-step explanation:
Given data
Area= 64 square feet
Base= x feet
Height= x+8 feet
The expression for the area
A= 1/2b*h
substitute
64= 1/2*x*(x+8)
64= 1/2*x^2+8x
64= (x^2+8x)/2
cross multiply
64*2= x^2+8x
128= x^2+8x
rearrange
x^2+8x-128= 0
using the quadratic formula
a=1
b=8
c=-128
x= -b±√b^2-4ac/2a
x= -1±√8^2-4*1*-128/2*1
simplifying
x= 8
x=-16
Hence the height of the base is
h= 8 feet
Please help me im fr struggling rn...
Answer:
I believe it would be D, the smiley face that's on the bottom.
Step-by-step explanation:
Since the smiley face is first reflected on the y axis, (vertically,) it'd be upside down. Then, turning it 90 degrees clockwise is simply just turning it left once.