Answer: 40°
Step-by-step explanation: angle XYW is 50°.XYW is made up of two angles XYZ and ZYW
So, XYZ+ZYW= XYW (equation 1)
Given XYZ= 10° and XYW= 50°
10°+ZYW= 50° (substituting the values of equation 1)
ZYW= 50-10
ZYW= 40°
PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)
(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)
convert 84 min into fraction
Answer:
84/60
Step-by-step explanation:
1 hour is 60 minutes so 84 minutes /60 gives how much it is in hours
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
Consider the following solid s. The base of S is a circular disk with radius r. Parallel cross-sections perpendicular to the base are squares. Set up an integral that can be used to determine the volume V of the solid. V = dx LIO 26TO = 2 dx Find the volume V of the solid. V=
The volume of the described solid is V = 16r³/3
Given,
A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)
Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = \(\int\limits^b_a {A(x)} \, dx\)
The equation of circle x² + y² = r² where r is the radius of the circle.
Equation of upper semicircle yu= √(r²-x²) and
Equation of lower semicircle yl = -√(r²-x²)
Area of cross-section A(x) = (yu² - yl²)
Substitute yu and yl values
A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²) (1)
The limit for volume v varies from -r to r
Thus Volume v = ₋\(\int\limits^r_r {A(x)} \, dx\)
Substitute A(x) from (1)
V = ₋\(\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx\)
⇒V = 4[r²x - x³/3 ]
⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3
The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3
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What is an
equation of the line that passes through the points (8, 5) and (-6, 5):
Answer:
y=8
Step-by-step explanation:
formula of a line equation
y=MX+c
m=Y2-Y1÷X2-X1
m=5-5÷-6-8
m=0÷-14
m=0
substitutionusing (8,5)
8=0(5)+c
8=c
Evaluate cosθ if sinθ = sqrt5/3
Answer:
2/3
Step-by-step explanation:
sinθ is opposite/hypotenuse (soh cah toa)
If given what sinθ is, you have the opposite leg to θ and the hypotenuse. It helps to draw a triangle. You can figure out the adjacent leg using the pythagorean theorem. \(3^{2}\)-\((\sqrt{5} )^{2}\) = 4
Square root 4 to find the adjacent leg, 2.
To find cosθ, which is adjacent over hypotenuse, substitute in the respective numbers, which gives you 2/3.
A cube has edges that measures 13 cm each find volume for a cube
Answer:
2197 cm^3
Step-by-step explanation:
V = s^3
V = (13 cm)^3
V = 2197 cm^3
Which one is the function and which one isn’t please help im failing rn .
Answer:
Yes
Step-by-step explanation:
This relation is a function. Functions must have unique x-values for every y-value, this relation meets those requirements. Also, since this is a graph you can use the vertical line test. To pass the vertical line test you must be able to draw a vertical line on the graph and have it intersect with the function in no more than one place.
A bean plant measures 1.5 cm and grows 0.1 cm per day. A tomato plant of 0.85 cm grows steadily too. How much can it grow each day knowing that it will have the same height as the bean plant in no more than 10 days?
Answer:
Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:
1.5 - 0.85 - (10 * g) = 0
Solving for g:
g = (1.5 - 0.85) / 10 = 0.065 cm/day
So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.
The tomato plant will grow 0.165 cm per day.
Solution:
Given,
Height of bean plant = 1.5 cm
Height of tomato plant = 0.85 cm
The growth rate of bean plant = 0.1 cm/ day
The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm
So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm
Since, the tomato plant will grow steadily,
Hence, 1.65/ 10 = 0.165
Therefore, the tomato plant will grow at a rate of 0.165 cm per day
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netry B Unit 5 Test 2023 Unit Test: Unit 5 Test 2023: Geometry Applications The maximum altitude currently allowed by drones is 400 feet, which is approximately 0.12 km. This is to ensure that drones do not interfere with other aircraft or cause safety hazards. If cameras in a drone are set to film toward the horizon, what is the greatest distance that can be filmed, given that the radius of the Earth is approximately 6378 km? Round your answer to the nearest kilometer.
The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
Now, For the greatest distance that can be filmed by a drone with a maximum altitude of 0.12 km, we can use the Pythagorean theorem.
Let's a right triangle with one leg being the radius of the Earth 6378 km and the other leg being the maximum altitude of the drone 0.12 km.
Hence, The hypotenuse of this triangle represents the line of sight from the drone's camera to the horizon.
Hence, By Using the Pythagorean theorem, we can solve for the length of the hypotenuse:
h² = 6378² + 0.12²
h = √40684000.145
h = 6374.5 km
Therefore, The greatest distance that can be filmed by the drone is 6374.5 km. Rounded to the nearest kilometer, 6375 km.
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please please help last text then finals l give brainliest
1. The x - intercepts of the parabola are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex of the parabola is at (5, 80).
What is a parabola?A parabola is a curved shape
1. Given the parabola above, to find the x - intercepts, we proceed as follows.
The x-intercepts are the points at which the graph cuts the x-axis.
They are
x = 2.5 s and x = 7.5 s2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.
The plane takes of at x = 2.5 s and lands at x = 7.5 s
3. The vertex is the maximum point on the graph.
So, we see that the vertex is at x = 5 s and y = 80 ft
So, the vertex is at (5, 80).
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Ed has 2 green apples and 6 red apples in a bag. He
randomly grabs an apple for his friend and then randomly
grabs another apple for himself. What is the probability
that they both get a red apple?
The probability that they both get a red apple is, 15/28
What is probability?Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.
Probability of Event = Favorable Outcomes/Total Outcomes = X/n
The probability of Ed's friend grabbing a red apple is,
= 6 red apples / (2 green apples + 6 red apples)
= 6/8
= 3/4.
Then, the probability of Ed grabbing a red apple from the remaining apples is,
= 5 red apples / (2 green apples + 5 red apples)
= 5/7.
So, the probability that both Ed and his friend get a red apple is,
= 3/4 x 5/7
= 15/28
Hence, the probability is 15/28
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1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
\(\int\limits^2_076e^4 {x} \, dx\)
what property is (2•x)•5=2•(x•5)
Answer:
Associative Property
(2•x)•5=2•(x•5)
this equation represents the Associative Property.
hope that helps...
Answer:cDADVFBDGFZDGSHHDBHDG
Step-by-step explanation:
Use the image of the L-shaped composite figure formed by two rectangular prisms to answer the question.
4 cm
8 cm
2 cm
14 cm
20 cm
What is the volume for the figure in cubic centimeters?
Enter your answer as a number, like this: 42
Do not enter units.
Just to have fun, I have written a transcript scenario. Your answer is in the paragraph as if I was teaching it! Hope this improves the quality of the answer, if it hasn't just give your review! Have a nice day!
All right. So you want the surface area for this composite figure? So, the surface area, we're going to split into two different shapes. So, I'm gonna do this shape here. That's kind of up. And then I'll do this one. That's kind of flattered. Okay, so when we look at the base, because our surface area formula, let's start with. That is perimeter times high plus two times the area of the base. So, I need the perimeter of this. This is my base, right? I'm thinking about the one that's on the bottom that I can't see. So this is 20 and four. So when you do perimeter, I'm gonna say 20 plus 20 Plus four Plus 4. That's perimeter. The height is eight plus two. And then my area of the base is the two numbers I used in the first parentheses. So four times 20. Okay, so let's see. 20 plus 20 is 40, 40-plus 8 is 48. 48 times eight Is 3 84. Okay. Plus four times 20 is 80, maybe times two is 1 60. If I add all this together And your calculator or do it by hand, you get 5:44. So that is the surface area for the shape that I drew mostly over just now. Let me do it in red for the next one. So my base for this one, I'm actually gonna use 20 and 14 for my perimeter. So the same kind of steps, 20 plus 20 plus 14 plus 14. And then my height is too Plus two times the area of the base. So 20 times 14. So 40 plus 28. Because that's what 14 plus 14 is is 68 68 Times two for the height. So I get 1 36 plus And now 20 times 14 gives you 2 80 times two. It's 5 60 Plus 1 36. So I'm adding these together now And you get 6 96. Alright, We're almost done. Now. We have to take our first answer and add it To our second answer. So 6 96. So 6 96 plus 5 44. You can use your calculator, you get 1240. And if you wanted to use correct units it's centimeters squared. Alright. I hope this helps.
Image attatched is the actual problem.
Answer:
did u guys ever figure it out
Step-by-step explanation:
I just need to know how to work it out for future problems. (Business Calc)
Find the price elasticity of the demand function as a function of p.
1. q=D(p)=600-3p
A)E(p)= p/p-200
B)E(p)= p/600-3p
C)E(p)= p/200-p
D)E(p)= p(200-p)
The price elasticity of the demand function as a function of p is C. E(p)= p/200-p
How to illustrate the information?It should be noted that the price elasticity of demand simply means the ratio of the percentage change in quantity demanded to the percentage change in price.
In this case, the function is given as:
q = D(p) = 600-3p
Differentiate with respect to p
D'(p) = 3
The elasticity of demand will be:
= (P / 600 - 3p) × (-3)
= P / (200 - P)
In conclusion, the correct option is C.
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Can you figure out the missing number
Answer:
probably 6 thats one of the missing ones
fx) -2 x 14 11 3 5 5 4 -8 Determine the Solution utilizing the Table of Values* (1 Point)
The domain x with the value of 5 according to the table has a range value of -8.
A. -8
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.The quantities xxx and yyy are proportional.
xxx yyy
777 353535
121212 606060
202020 100100100
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer:
5
Step-by-step explanation:
Solving the given equation for r, we get ...
y = rx
y/x = r
Then we can find r from any pair in the table:
r = 35/7 = 5
The constant of proportionality is 5.
Answer:
y=3
Step-by-step explanation:
i did it in khan academy :)
Can someone help with this question?✨
The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
Let's consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.
We have two points on the graph as (4, 4290) and (8, 3850)
Now we can find the slope of this line:
m = (y2 - y1)/(x2 - x1)
Substitution;
m = (3850 - 4290)/(8 - 4)
Solve the subtraction in the parenthesis;
m = -440/4
m = -110
Then we have the slope of the line, we can use the point-slope formula to find the equation for the line.
y - y1 = m(x - x1)
Substitution;
y - 4290 = -110(x - 4)
y - 4290 = -110x + 440
y - 4290 + 4290 = -110x + 440 + 4290
y = -110x + 4730
Since the formula that is being sought is supposed to be in terms of P and t, we will replace y with P and x with t.
P(t) = -110t + 4730
To predict the population in 2006, we have to determine the years from 1990 to 2006.
2006 - 1990 = 16
P(16) = -110 (16) + 4730
P(16) = -1760 + 4730
P(16) = 2970
Hence, The formula for moose population, P, in terms of t, the years since 1990 would be P(t) = -110t + 4730.
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The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?
Answer:
3ft
Step-by-step explanation:
get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3
Answer:
≈ 5.2 ft
Step-by-step explanation:
sum the parts of the ratio, 3 + 1 + 5 = 9 parts
Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.
180° ÷ 9 = 20° ← value of 1 part of the ratio, then
3 parts = 3 × 20° = 60°
5 parts = 5 × 20° = 100°
The angles of the triangle are 100°, 60° and 20°
The longest side is opposite the largest angle in the triangle
The shortest side is opposite the smallest angle in the triangle.
Thus
the longest side is opposite 100°
the shortest side is opposite 20°
let x represent the shortest side and using the Sine rule
\(\frac{x}{sin20}\) = \(\frac{15}{sin100}\) ( cross- multiply )
x × sin100° = 15sin20° ( divide both sides by sin100° )
x = \(\frac{15sin20}{sin100}\) ≈ 5.2 ( to the nearest tenth )
Thus the shortest side is ≈ 5.2 ft
Juan wants to save $500 to buy a TV. He saves S18 each week. The amount A (in dollars), that he still needs after w weeks is given by the following function.
A(w) - 500 - 18w
Answer the following questions.
(a) How much money does Juan still need after 6 weeks?
Answer:
$392
Step-by-step explanation:
I may have solved it differently
500-18(6)=a
500-108=392
Juan will need $392 after 6 weeks of saving.
A hose fills a hot tub at a rate of 3.01 gallons per minute. How many hours will it take to fill a 334 gallon hot tub?
Answer: I dont have the full answer, but this is what i could figure out.
Step-by-step explanation:
3.01 gallon per minute
60 minutes in an hour
3.01 times 60= 180.6
180.6 times 1.85= 334.11
I do not know what to do after this, I wish I could help more, but I hope someone or yourself can figure out the rest. Good luck!
I NEEEED HELLPPP LIKE ASAP I ONLY GOT 5 MINS TO DO THIS AND MORE WILL GIVE BRAINLY AND A LOT OF POINTS
Answer:
I can see that (0, 2) is the solution to this equation because that is the point where the lines intersect.
Step-by-step explanation:
\( - 3x + 2 = \frac{1}{2} x + 2\)
\( - 3x = \frac{1}{2} x\)
\(x = 0\)
\(y = 2\)
The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
The retail cost of a pair of shoes is $60. You received a discount that lowered the cost down to
$42. What is the percent discount?
Answer:30%
Step-by-step explanation:
well first of all we have to find the amount of money that was taken off the price which is 18 then divided my stuff then bam! answer
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis.
This question is incomplete, the complete question is;
Research indicates that many Americans do not save enough for retirement, on average. A group of economists at the Federal Reserve Bank of St. Louis are interested in conducting a study to examine whether Americans between the ages of 55 and 65 have saved too little. The analysts obtain a random sample of Americans in this age group and proceed to test if there is evidence of insufficient savings from these data. The variable considered is the total amount of savings for each individual, reported in thousands of US dollars (i.e. if value 3 appears in the data set, it stands for $3,000.)
Required:
Assume that financial specialists suggest that the minimum level of retirement savings should be 1.5 million US dollars. Use the JMP output to report the value of the test statistic used to gather evidence against the null hypothesis. Report your answer as a number ( no symbols ) and round up to two decimal places.
Test mean
Hypothesized value : 1500
Actual Estimate : 1613.07
DF : 251
Std Dev : 782.626
t Test
prob > |t| 0.0226*
Answer:
the value of the test statistic used to gather evidence against the null hypothesis is 2.29
Step-by-step explanation:
Given the data in the question,
we determine Test statistics of using the formula
t = (x" - μ) / (s/√n)
where;
μ is the theoretical mean ( 1500 )
x" is the observed mean ( 1613.07)
s is the standard deviation ( 782.626 )
n is the sample size ( DF = n - 1, n = DF + 1 , n = 251 + 1 = 252 )
so we substitute
t = (1613.07 - 1500 ) / (782.626 / √252)
t = 113.07 / 49.3008
t = 2.29
Therefore, the value of the test statistic used to gather evidence against the null hypothesis is 2.29
Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third
The proportion equivalent with Two-thirds would be 6/9.
Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the proportion with Two-thirds
If you actually divide it’ll make since , so first we want to divide the 2 , then you want to multiply the third of the two
2/3 x 3/3
6/9
thus, the answer will be 6/9.
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Determine the general solution of 5 tan 0-6 cos 0 = 0
The general solution for the equation 5tan(θ) - 6cos(θ) = 0 is:
θ = sin⁻¹(2/3) + nπ, where n is an integer.
To determine the general solution of the trigonometric equation 5tan(θ) - 6cos(θ) = 0, we can use algebraic manipulation and trigonometric identities to simplify and solve for θ.
Starting with the given equation:
5tan(θ) - 6cos(θ) = 0
First, we can rewrite the tangent function in terms of sine and cosine:
5(sin(θ)/cos(θ)) - 6cos(θ) = 0
Next, multiply through by cos(θ) to eliminate the denominator:
5sin(θ) - 6cos²(θ) = 0
Using the identity sin²(θ) + cos²(θ) = 1, we can express cos²(θ) as 1 - sin²(θ):
5sin(θ) - 6(1 - sin²(θ)) = 0
Expanding and rearranging terms:
5sin(θ) - 6 + 6sin²(θ) = 0
Rearranging the equation:
6sin²(θ) + 5sin(θ) - 6 = 0
Now, we have a quadratic equation in terms of sin(θ).
We can solve this quadratic equation by factoring or using the quadratic formula.
However, since this equation is not easily factorable, we will use the quadratic formula:
sin(θ) = (-b ± √(b² - 4ac)) / 2a
For our equation:
a = 6, b = 5, c = -6
Plugging these values into the quadratic formula and simplifying, we get:
sin(θ) = (-5 ± √(5² - 4(6)(-6))) / (2(6))
sin(θ) = (-5 ± √(25 + 144)) / 12
sin(θ) = (-5 ± √169) / 12
sin(θ) = (-5 ± 13) / 12.
This gives us two possible solutions for sin(θ):
sin(θ) = (13 - 5) / 12 = 8/12 = 2/3
sin(θ) = (-13 - 5) / 12 = -18/12 = -3/2
Since the range of the sine function is -1 to 1, the second solution (-3/2) is not valid.
Now, to find the values of θ, we can use the inverse sine function (sin⁻¹) to solve for θ:
θ = sin⁻¹(2/3)
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2. How many radians are in 27"?
The answer is 0.471 radians.
FORMULA:
Just do 27° × π/180 = 0.4712rad but then cut off the two.