Laz had a hard time with this problem on his homework. Help him figure out what went wrong in his process. (Read Picture)
Answers
Answer:
x = 6/√3
y = 3/√3
Step-by-step explanation:
For a triangle rectangle with a known angle θ, we have the relations:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
For this triangle, we know an angle:
θ = 60°
And the opposite cathetus measures 3 units.
The adjacent cathetus is y.
The hypotenuse is x.
To find the value of x, we can use the Sin equation:
Sin(60°) = 3/x
x = 3/sin(60°) = 3.46 = 3*2/√3 = 6/√3
And we can use the Tan relation to find the value of y.
Tan(60°) = 3/y
y = 3/Tan(60°) = 1.73 = 3/√3
For x he didn't divide by √3, while for y he multiplied by √3 instead of dividing by √3.
Related Questions
PLSSSS HELLPPPPP!!!
Answers
Answer: B, D, and F
Step-by-step explanation:
Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.
By understanding those info, it should be easier to answer.
For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).
For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.
For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.
For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.
For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).
For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.
Hopefully this helps!
All u need to do is substitute the numbers given in the possible solutions into the general equation.
WILL GIVE BRAINLIEST!!!!
Plot the image of quadrilateral ABCD under a reflection across line L.
Answers
Answer:
See image
Step-by-step explanation:
I clicked submit and it was right
Also dude I remember doing this and struggling before
Solve for X
1/5 X + 1/2 = 1
Answers
Answer:
X = 5/2
Step-by-step explanation:
I will assume that you meant (1/5)X + 1/2 = 1. The LCD is 10.
Multiplying both sides by 10, we get:
2X + 5 = 10, or 2X = 5, or X = 5/2
write a trigonometric expression for the refracted angle and write the refracted angle in terms of distance d and material width w
Answers
Answer: The Diagram of the refracted angle is attached below
answer : ∅ = cos^-1 ( w/d )
Step-by-step explanation:
The trigonometric expression for the refracted angle
with respect to ; Distance ( d ) and width ( w )
Cos ∅ = Adjacent / Hypotenuse ----- ( 1 )
where; adjacent = W . Hypotenuse = d
back to equation 1
Cos ∅ = w / d
∴ ∅ = cos^-1 ( w/d )
The total length of a beach is 14.4 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
Answers
Answer:
240
Step-by-step explanation:
Divide 14.4 by 0.06, as the total distance is 14.4 kilometers and lifeguards are stationed every 0.06 kilometers.
Lucy is on her way home in her car. She has driven 22 miles so far, which is one-half of the way home. What is the total length of her drive?
Answers
Answer:
44
Step-by-step explanation:
if 22 miles = 1/2
then, 22 times 2 = 44 miles
ANSWER= 44 miles
What is the function graphed below?
Answers
9514 1404 393
Answer:
B. y = x + 0.5
Step-by-step explanation:
The y-intercept of 0.5 eliminates choices A and C.
When x increases by 1, y increases by 1, eliminating choice D.
The equation of choice B is graphed.
y = x + 0.5
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan. a) Use a 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans. Give an interpretation of this interval. (5 Points) b) Would a 99% confidence interval be wider or narrower than the one you calculated in part (a)
Answers
Answer:
a) The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
b) Wider
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a survey of randomly selected 3,900 family-owned businesses with revenues exceeding $1 million a year, it was found that 1,911 of them had no strategic business plan.
This means that [tex]n = 3900, \pi = \frac{1911}{3900} = 0.49[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 - 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.4768[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.49 + 1.645\sqrt{\frac{0.49*0.51}{3900}} = 0.5032[/tex]
The 90% confidence interval to estimate the proportion of family-owned businesses without strategic business plans is (0.4768, 0.5032). This means that we are 90% sure that the true proportion of all family-owned businesses without strategic business plans is between these two values.
Question b:
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The higher the confidence level, the higher the value of z, thus the higher the margin of error and the interval is wider. Thus, a 99% confidence interval is wider than a 90% confidence interval.
ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd x/8+3=12
Answers
Gail works for Ice Cream To-Go. She needs to fill the new chocolate dip cones completely with vanilla ice cream, so that it is level with the top of the cone. Gail knows that the radius of the inside of the cone top is 25 millimeters and the height of the inside of the cone is 129 millimeters.
Using 3.14 for , how much vanilla ice cream will one chocolate dip cone hold when filled to be level with the top of the cone?
Answers
Answer:
In other words, they want you to find the volume of the cone.
Volume of a cone=1/3 (pi * radius^2 *h)
Volume=1/3 [3.14* (22)^2 * 120]
Volume=1/3 (3.14*484*120)
Volume=1/3 (182371.2)
Volume= 182371.2/3
Volume=60790.4
The volume of the cone is 60790.4mm^3
But that is not the final answer. Since liquid is measured in litres, You need to convert it to millilitres. So the answer is that one chocolate dip cone can hold a maximum of 60.9704 milliliters
Step-by-step explanation:
Hope this helps
The clerk at the grocery store makes $12 an hour. How much will be made in 40 hours?
Answers
Answer:480$
Step-by-step explanation:
Hope this helps
Answer:
480
Step-by-step explanation:
if 2 X + 1 ,2 x-1 and 3 X + 4 are in AP find the value of x
Answers
Answer:
x = - 7
Step-by-step explanation:
Given that the terms are in AP , then
a₃ - a₂ = a₂ - a₁ , substitute values
3x + 4 - (2x - 1) = 2x - 1 - (2x + 1) ← distribute and simplify both sides
3x + 4 - 2x + 1 = 2x - 1 - 2x - 1
x + 5 = - 2 ( subtract 5 from both sides )
x = - 7
The area of the kite is 30 m2. What is the value of x? Explain
Answers
Answer:
x = 5
Step-by-step explanation:
In ΔSTU, s = 98 inches, t = 92 inches and u=70 inches. Find the measure of ∠U to the nearest 10th of a degree.
Answers
Answer: is 43.1
Step-by-step explanation:
Solve 124m – 23=34 for m.
Answers
Answer:
0.45967741
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
57
124
Decimal Form:
m
=
0.45967741
…
5. Jon Metcalf signed a 253-day simple interest note for $7700 with a bank that uses exact interest. If the rate is 10 3/4% find the maturity value.
Answers
Answer:
8281.72
Step-by-step explanation:
Given:
Principal, P = 7700
Rate, r = 10 3/4 % = 43/4 % = 0.1075
Time, t = 253 days = 253/ 360
Using the relation :
A = P(1 + rt)
A = maturity value
A = 7700(1 + 0.1075*253/360)
A = 7700(1 + 0.0755486)
A = 7700(1.0755486)
A = 8281.7243
A = 8281.72
What is the domain of y= tan(x)?
Answers
Answer:
Step-by-step explanation:
The domain of the function y=tan(x) ) is all real numbers except the values where cos(x) is equal to 0 , that is, the values π2+πn for all integers n . The range of the tangent function is all real numbers.
Which description best compares the graphs of these two functions?
Function A
y = -33 +2
2
Function B
0 2 4
2 1 0
6
-1
y
Functions A and B have the same y-intercept.
Functions A and B have the same x-intercept.
Function A is not a linear function.
Function B has a steeper slope.
Answers
Answer:
1st option, they have the same y-intercept
Step-by-step explanation:
they do not have the same x-intercept
'A' is linear
'B' has a less steep slope
What is 10° equivalent to?
Answers
Answer: [tex]\frac{\pi}{18}[/tex]
Step-by-step explanation:
To convert from degree to radians, multiply by [tex]\frac{\pi}{180}[/tex], the conversion ratio.
Thus, 10 x [tex]\frac{\pi}{180}[/tex] = [tex]\frac{\pi}{18}[/tex]
The school canteen charges Rs 42 for lunch and Rs 8 for milk for
each day. How much money do you spend in 5 days on these things? Write proper steps. State the property used.
Answers
Answer:
After 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
Step-by-step explanation:
Given that the school canteen charges Rs 42 for lunch and Rs 8 for milk for each day, to determine how much money do you spend in 5 days on these things, the following calculation must be performed, using the distributive property:
(42 + 8) x 5 = X
50 x 5 = X
250 = X
Therefore, after 5 days buying lunch and milk at the canteen school, Rs 250 will be spent.
According to a June 12 invoice, George's Grocery Store owes $11,250 to Crane Food Services. The sales terms are 5/10, 3/15, n/30. Find the cash discount if the invoice is
paid on June 26.
$328.75
$337.50
$445.80
$562.50
None of these choices are correct.
Answers
Answer:
$337.50
Step-by-step explanation:
Given that
The amount is $11,250
And, the sales terms are 5/10, 3/15, n/30
5/10 means if the payment is done within 10 days so 5% discount is given
3/15 means if the payment is done within 15 days so 3% discount is given
And, n/30 means the credit days for payment allowed is 30
Now the cash discount if the invoice is paid on June 20 is
= $11,250 × 3%
= $337.50
Lawns by Brawns uses 13 ounces of fertilizer for 6.5 acres. Assume the company is fertilizing 0.5 of an acre. How much fertilizer does it need
Answers
X for 0.5
0.5/6.5*13=1
1 ounce for 0.5 arce
Amount of fertilizers required for 0.5 acres = 1 onces.
What is unitary method?Unitary method is a process with the aid of which we discover the fee of a unmarried unit from the cost of multiple units and the cost of a couple of gadgets from the fee of a unmarried unit. it's far a method that we use for most of the calculations in math.
The technique wherein first we discover the fee of one unit after which the price of the desired wide variety of devices is known as the Unitary method.The formula for unitary approach is to find the price of a unmarried unit after which locate the value of extra or fewer devices by way of multiplying their quantity with the value of a unmarried unit.
In case we are having the cost of multiple items with us, then we are able to genuinely divide the entire cost with the quantity of units to get the price of 1 unit and this technique is known as the unitary method. In easy terms, the unitary method is used to locate the cost of a unmarried unit from a given multiple.
Unitary approach is the technique via which we discover the value of a unmarried unit from the value of multiple units and then use this price to locate the cost of the specified wide variety of devices. cost of many devices.
explanation;
13 0nces of fertilizers required for 6.5 acres
for 1 acres land = 13 / 6.5
onces of fertilizers required = 2 onces
for 0.5 acres = 2 *0.5 = 1 onces of fertilizers required.
Hence required fertilizers = 1 onces.
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9. Simplify 1/2 (4a + b) - 1/4 (4a + b)
А. a
B. a + 1/4 b
C. 2a + 1/4 b
D. 2a - b
Answers
B: a+ 1/4b Hope this helps!
B. [tex]a + \frac{1}{4} b[/tex] ✅
Step-by-step explanation:
[tex] \frac{1}{2} (4a + b) - \frac{1}{4} (4a + b) \\ = \frac{4a + b}{2} - \frac{4a + b}{4} \\ = \frac{2(4a + b)}{2 \times 2} - \frac{4a + b}{4} \\ = \frac{8a + 2b}{4} - \frac{4a + b}{4} \\ = \frac{8a + 2b - 4a - b}{4} \\ = \frac{4a + b}{4} \\ = \frac{4a}{4} + \frac{b}{4} \\ = a \: + \frac{1}{4} b[/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A light bulb consumes 3600 watts-hours per day. How many watts-hours does it consume in 3 days and 6 hours?
Answers
Answer:
3 DAYS IS 10800 WATTS.
Step-by-step explanation:
3600 WATTS × 3 DAYS =10800 WATTS.
PLEASE HELP TIMED---
A basket of sports equipment has 10 baseballs, 2 footballs, and 4 basketballs. A ball is randomly drawn from the basket before another ball is drawn, with no replacement.
What is the probability that a baseball and then a football are selected?
Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
6/10
Step-by-step explanation:
i think sorry if incorrect
Answer:
The correct answer is [tex]\frac{1}{12}[/tex]
Step-by-step explanation:
I know everyone says this but I just took the test and I got it right :)
Alice invests $5,000 at age 28 from the signing bonus of her new job. She hopes the investments will be worth $20,000 when she turns 40. If the interest compounds continuously, approximately what rate of growth will she need to achieve her goal?
Answers
Answer:4000 per year
Step-by-step explanation:
Succession is a gradual process within an ecosystem in which some species replace other species. When a volcano creates a brand new island of rock and then plants start to grow there is an example of ... Question 1 options: Ecological Succession Secondary Succession Micro succession Primary Succession
Answers
Answer:
Ecological Succession
When a volcano creates a brand new island of rock and then plants start to grow there is an example of ...
Primary Succession
Step-by-step explanation:
Ecological succession describes the ecological change in structure of a community of different species, or ecosystem. There are three main types of ecological succession. The first type is primary succession, followed by secondary succession, and then cyclic succession. Primary succession is the first formation of plants without soils with the presence of magma and water. Secondary succession takes place with the destruction of primary succession by fire, for example. Cyclic succession is the change of the ecosystem on a cyclic basis depending on time of the year.
Answer:
The answer would be secondary succession :)
Step-by-step explanation:
If the graph of a linear equation is translated 4 units down, which statement best describes the change to the equation?
A.The y-intercept of the equation is decreased by 4.
B.The y-intercept of the equation is increased by 4.
C.The slope is changed by a factor of −4
D.The slope is changed by a factor of 4.
Answers
The slope is not affected. The y-intercept does not increase.
The slope is not affected. The y-intercept does not increase. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.
Given that if the graph of a linear equation is translated 4 units down. The slope remains unaffected. The y-intercept does not grow.
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How many solutions are in 5x^2+3x+2=0
Answers
Given the function h(x)=-x^2-5x+14 determine the average rate of change of the function over the interval -9
Answers
Answer:
The average rate of change of the function over the interval is of 6.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function h(x) over an interval [a,b] is given by:
[tex]A = \frac{h(b)-h(a)}{b-a}[/tex]
In this question:
Over the interval [-9,-2], so [tex]a = -9, b = -2, b - a = -2 -(-9) = 7[/tex]
The function is:
[tex]h(x) = -x^2 - 5x + 14[/tex]
[tex]h(-9) = -9^2 -5(-9) + 14 = -81 + 45 + 14 = -22[/tex]
[tex]h(-2) = -2^2 -5(-2) + 14 = -4 + 10 + 14 = 20[/tex]
Then
[tex]A = \frac{h(-2)-h(-9)}{7} = \frac{20-(-22)}{7} = \frac{42}{7} = 6[/tex]
The average rate of change of the function over the interval is of 6.