The sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
How do you express a trigonometry function as a positive acute angle?
To express a trigonometry identity as a function of a positive acute angle, we need to find the quadrant in which that given identity is located.
Here, we have a negative trigonometry identity: Sin (-184)
Recall that:
the sine is negative in the third quadrant(III)So, to turn that to a positive sign, we add 360
=sin(-184 + 360)
= sin(176)
To find the positive acute angle, we have:
x = cos(176 - 90)
x = cos 86°
Therefore, we can conclude that the sin(-184) can be expressed as cos 86° as a function of a positive acute angle.
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please help me out!!!
A trapezoid with short base fourteen centimeters, long base thirty-eight centimeters, height sixteen centimeters, and diagonal side lengths twenty centimeters.
320 square centimeters
608 square centimeters
416 square centimeters
560 square centimeters
Answer:
416 square centimeters
Step-by-step explanation:
Formula for finding area of a trapezoid :
A = 1/2 x (a + b) x h
a and b = parallel sides of the trapezoidh = height of the trapezoidSolving :
A = 1/2 x (38 + 14) x 16A = 8 x 52A = 416 square centimetersAnswer:
416 cm²
Step-by-step explanation:
The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.
[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]
[Where a₁ and a₂ are the measure of the parallel sides and h is the height]
Let's plug the height and the parallel sides into the formula and simplify it:
[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]
[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]
[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]
[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]
Therefore, the area of the trapezoid is 416 cm².
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Find the surface area of each polyhedron. Explain your reasoning clearly.
The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The surface area of the polyhedrons can be written as,
I Polyhedron
SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²
II Polyhedron
SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²
III Polyhedron
SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²
Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.
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here is another one for you all
Answer:
0.0000045
[tex]10^5 = 10 * 10 * 10 * 10 * 10 = 100,000\\\\0.45 / 100,000 = 0.0000045[/tex]
When it comes to tiny floating numbers, that means multiply a number by itself the number of times the floating exponent says to.
Answer:
[tex]0.0000045[/tex]
Step-by-step explanation:
Rewrite it as a fraction:
[tex] \frac{0.45}{ {10}^{5} } [/tex]
Calculate it:
[tex] \frac{0.45}{100000} [/tex]
Rewrite the fraction:
[tex] \frac{45}{10000000} [/tex]
Simply:
[tex] \frac{9}{2000000} [/tex]
Turn it into a decimal:
[tex]0.0000045[/tex]
CAN SOMEONE PLEASE ANSWER THIS QUICK I HAVE 5 MINS PLS
Answer:
$20
Step-by-step explanation:
49 is the outlier
A jar contains nine blue marbles, eight yellow marbles, 11 black marbles, and 12 red marbles.
Without looking, what is the probability of pulling a white marble from the jar?
The probability of pulling a white marble from the jar is 0.
What is the probability?
Probability determines the odds that an event would happen. The odds usually lie between 0 and 1.
The probability of pulling a white marble = total number of white marbles / total number of marbles
0 / 40 = 0
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The description for a certain brand of house paint claims a coverage of 410 ft2/gal. How many liters of paint are required to apply a single coat of paint to the (4) walls of a 7.7 m by 14.8 m room with a height of 2.4 m
Answer:
10.7 liters of paint requiredStep-by-step explanation:
Dimensions of the room
7.7 m by 14.8 m with the height of 2.4 mFind the surface area of the 4 walls
A = Ph = 2(l + w)h = 2(7.7 + 14.8)*2.4 = 108 m²Convert the area to ft²
108 m² = 108*10.7639 ft² = 1162.5012 ft²Find the amount of paint required
1162.5012/410 = 2.84 gal (rounded)Covert the volume to liters
2.84 gal = 2.84*3.76 l = 10.7 l (rounded)Find the area of the triangle ABC with the coordinates of A(10, 5), B(15, 15), and C(30, 9).
A = units²
Answer: 90
Step-by-step explanation:
find the value of x PLS HELP I WILL GIVE BRAINLIEST if its right :D
Answer:
x=21
Step-by-step explanation:
For simplicity's sake, I started by naming the angles. Please reference the attachment.
For this, we're using parallel lines with one intersecting line (transversal) to give us valuable information about the angles.
First, based on the Corresponding Angles Theorem, corresponding angles, such as A and B, are congruent.
This means that angle B can also be represented by the expression 6x-19.
Furthermore, since angles B and C are on the same line, they must be supplementary, meaning that they add up to 180 degrees.
This said, we can set up an equation to solve for x because B+C=180
6x-19+3x+10=180
Combine Variables
9x+10-19=180
9x-9=180
Add 9 to both sides to isolate x
9x=189
Divide both sides by 9
x=21
This problem could have also been solved with various other theorems such as, but not limited to:
Keep in mind a prerequisite for all of these theorems except the vertical angles theorem are that it must be for a transversal cutting/intersecting 2 parallel lines.
The Alternate Exterior Angles Theorem states that alternate exterior angles are congruent (A and D)
The Alternate Interior Angles Theorem states that alternate interior angles are congruent (C and E)
The Vertical Angles Theorem states the vertical angles- angles across from each other- are congruent (B and D)
The Same Side Exterior Angle Theorem states that same side exterior angles supplementary (A and F)
The Same Side Interior Angle Theorem states that same side interior angles are supplementary (E and B)
Please let me know if you have any questions!
What is the solution to this equation?
m – 3 = 9
m=9
m=6
m=3
m=12
Answer: m=12
Step-by-step explanation:
Answer:
m=12
Step-by-step explanation:
m - 3 = 9
You have to make sure
that m stands alone,
that's making m the subject.
So -3 have to cross the equal to sign,
to become +3
m = 9 + 3
m = 12
Hope this help. I wish you all the best
Liz had 10 candies. She ate 4 of them. How many candies are left?
Answer: 6
Step-by-step explanation: 10-4=6
9. Use the distance formula to find the distance between the points (-4,-4) and (4,4).
Answer:
16
Step-by-step explanation:
Distance formula = [tex](x_{1}-x_{2})+(y_{1}-y_{2})[/tex]
Depending on which point is A and Which point is B, the answer is one of the two.
However, there is no such thing as negative distance, so your answer is 16 points in a certain direction.
PLEASE HELP!!
Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.
Answer:
D
Step-by-step explanation:
it's because of simple logic
What is the solution set of y = x2 2x 7 and y = x 7? a. {(0, 7), (-1, 6)} b. {(0, 7), (-7, 0)} c. {(0, 7), (1, 8)} d. {(-2, 0), (4, 0)}
The solution set of the equation is (0, 7)(-1, 6)
y = x² + 2x + 7
y = x + 7
How to find the solution of an equation sets?
y = x² + 2x + 7
y = x + 7
x² + 2x + 7 = x + 7
x² + 2x - x + 7 - 7 = 0
x² + x = 0
x(x + 1) = 0
Therefore,
x = 0 and x = -1
Substitute the value in equation(ii)
when x = 0
y = x + 7
y = 0 + 7
y = 7
when x = -1
y = -1 +7
y = 6
Therefore, the solution set are (0, 7)(-1, 6)
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Which expression is equal to -4-9?
Answer:
-4+(-9)
Step-by-step explanation:
if you have two negatives in an equation next to each other like -4-9 then it is basically adding the two but will just equal a negative sum
Based on the end behavior of the graph, which polynomial function is graphed here?
graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3
A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3
Answer:
C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]
Step-by-step explanation:
As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.
Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.
first correct answer gets brainleist pls help asap
Answer:
The angle is acute. This type of angle must be between 0° and 90°, and Orla's estimate is not.
24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)
Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh
How to Generate Formulas?
From the complete question seen online,
The given parameters are;
The shape of the firm 1's structure = Cylindrical shape
The radius of the firm 1's structure = 35
Height of firm 1 structure = 60
The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base
The formula for the surface area of a cylinder = 2πr² + πrh
If we take away the area of the base, we have;
Surface area of a cylinder excluding the case = 2πr² + πrh - πr² = πr² + πrh
Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh
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a ball is dropped from a height of 6 metres. suppose the ball rebounds 2/3 of the height from which it falls. find total distance travelled by ball
Answer:
10 meters.
Step-by-step explanation:
We know the ball travelled a distance of at least 6 meters as that is how far it was dropped.
It rebounded 2/3 of 6 meters, which is 4 meters.
6 meters add 4 meters is 10 meters.
x + y = 20 and 2x + y =25 how can i solve this equation
Answer: I will give you a answer for both of them.
Step-by-step explanation:
First equation: x+y=20
1. Subtract y from both sides.
x=20−y
Second equation: 2x+y=25
1. Subtract y from both sides.
2x=25−y
2. Divide both sides by 2.
[tex]X[/tex][tex]=[/tex][tex]\frac{25-y}{2}[/tex]
The amount of a radioactive substance remaining after t years is given by the function , where m is the initial mass and h is the half-life in years. iron has a half-life of 2.7 years. which equation gives the mass of a 200 mg iron sample remaining after t years, and approximately how many milligrams remain after 12 years? ; 2.6 mg f(t)=2.7(0.5)t; 0.0007 mg f(t)=200(0.5)t; 0.05 mg ; 9.2 mg
The equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
What is a radioactive substance?A radioactive substance is a substance that decays spontaneously. Recall that the half life is the time taken for half of the radioactive substance to remain.
We know that; N =No(0.5)^t/t1/2 hence, the equation that gives the amount of Fe that remains after 12 years is; F(t) =200(0.5)^12/2.7.
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Answer:
A
Step-by-step explanation:
took the test
5b2 square value of b is 4
Answer:
80
Step-by-step explanation:
5b^2
b equals to 4=5(4^2)
=5(16)
=80
can someone help me with this? thank you!
Answer:
V = 240 [tex]cm^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism use this equation:
V = l*w*h
l = length (20 cm)
w = width (4 cm)
h = height (3 cm)
Plug all these values into the equation and solve:
V = (20 cm)(4 cm)(3 cm)
V = (80 [tex]cm^{2}[/tex])(3 cm)
V = 240 [tex]cm^{3}[/tex]
Therefore, the volume of the rectangular prism is 240 [tex]cm^{3}[/tex].
I hope this helps! Good luck!
2) Frank's Auto Zone charges $125 for parts and $75 per hour for labor.
Gracie's Engine Works charges a flat fee of $425 for the same job. Aft
how many hours would the companies charge the same amount?
Mark only one oval.
A) 2 hours
B) 3 hours
C) 4 hours
D) 5 hours
Answer:
the answer is c 4 hours because it's 75 per hour
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.
Answer:
Step-by-step explanation:
A reasonable estimate of the amount Donna is left with each week after the money is deducted: $980. 1404*.19=266.76 ; 1404*.12=168.48 ; 1404-266.76-168.48=968.76 or estimated as $980.
Help me with this question please
An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are C and F.
What is an associate?An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:
Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.
Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.
Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.
Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.
The points that are true about the given scatter plot are:
C.) There appears to be a positive association.
F.) A cluster appears to be at the bottom left corner.
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I will mark brainlist to whoever answers first
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
Angle sum propertySum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
What is the answer to 0.6-0.17
Researching the average earnings by major and by career can help you determine the _____ of an institute of higher education.
a) net cost
b) sticker price
c) available scholarships
d) return on investment
Researching the average earnings by major and by career can help you determine the return on investment of an institute of higher education.
How to Calculate Return on Investment (ROI)?The primary indicator of the profit made from any venture is return on investment (ROI). A gain or loss from an investment in relation to its cost is compared using this ratio. Whether you are assessing the success of your stock portfolio, taking into account a company investment, or choosing whether to start a new project, it is helpful in evaluating the current or projected return on an investment.ROI and other cash flow indicators, including internal rate of return (IRR) and net present value (NPV), are important metrics that are used in business research to assess and prioritize the attractiveness of various investment options.Despite the fact that ROI is a ratio, it is usually stated as a percentage.It's crucial to keep a few things in mind when assessing ROI figures. First off, because it is inherently simpler to understand than a ratio, ROI is frequently represented as a percentage. Second, because investment returns can be either positive or negative, the ROI calculation includes the net return in the numerator.To learn more about return on investment, refer to
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PLEASE HELP NEED TO PASS
Answer:
The second answer
Step-by-step explanation:
Answer:
-3 ± √41
Step-by-step explanation:
Numerator of Quadratic Formula
-b ± √b² - 4aca = 2b = 3c = -4⇒ -3 ± √(-3)² + 4(2)(-4)
⇒ -3 ± √9 + 32
⇒ -3 ± √41
If you roll a die twice what is the probability of rolling a 3 the first time and then rolling a 4 the second time? write your answer as a fraction
Answer:
Step-by-step explanation:
P(3 and 4)= 1/6×1/6
=1/36
