Can someone please explain how to do this i am so confused i just want to pass this class please :(
Answers
Answer:
x=6√3
Step-by-step explanation:
In 30-60-90 triangles, if the hypotenuse is x, the longest leg is [tex]\frac{x}{2}[/tex], and the shortest leg is [tex]\frac{x\sqrt{3} }{2}[/tex].
If the longest leg is 6, then [tex]\frac{x}{2} =6[/tex]
Multiply by 2,
[tex]x=12[/tex]
If x=12,
[tex]\frac{12\sqrt{3} }{2}[/tex]
[tex]=6\sqrt{3}[/tex]
So, the shortest leg is 6√3.
Related Questions
Solve 100x²+81=0 using square roots
Answers
Answer:
10
Step-by-step explanation:
The principal, real, root of:
100−−−√2
=10
All roots:
10
−10
100 is a perfect square
Snowy's Snowboard Co. manufactures snowboards. The company used the function P(x) = -5x2 -30% + 675 to model its profits, where P(x) is the profit in thousands of dollars and x is the number of snowboards sold in thousands. How many snowboards must be sold for the company to break even?
Answers
The number of snowboards that must be sold for the company to break even is: 9000
How to solve Profit Functions?The function that models the profit is given as:
P(x) = -5x² - 30x + 675
where:
P(x) is the profit in thousands of dollars
x is the number of snowboards sold in thousands
For the company to break even, it means that P(x) = 0. Thus:
-5x² - 30x + 675 = 0
Using quadratic formula to solve this gives us":
x = [-(-30) ± √((-30)² - 4(-5 * 675)]/(2 * -5)
x = 9
This is in thousands and means the break even will be when the sold amount is 9000 snowboards
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Which of the following points is not an ordered pair for the function
ƒ(x ) =5/2 x + 6?
4, 16)
(2, 7)
(-2, 1)
Answers
Answer:
2,7
Step-by-step explanation:
To solve this type of problem you simply plug the left number or x value in the ordered pair into the function and then see if it equals the right or y value. So we would plug 4 in for x and get 16, you then do the same thing for the other two pairs and find out that when you plug 2 into the equation, it does not equal 7
PLS PLE HELP IM BETYINY AND DONT GIVE ME THOSE LINKS THAT GIVE U A VIRUS
A small town is trying to establish a transportation system of large and small vans.
It can spend no more than $100,000 for purchasing both sizes of vehicles and no
more than $500 per month for maintenance. The town can purchase a small van for
$10,000 and maintain it for $100 per month. The large vans cost $20,000 each and
can be maintained for $75 per month. Each large van carries a maximum of 15
passengers
and each small van carries a maximum of 7 passengers. Find the
maximum number of passengers the transportation system can handle given the
constraints. How many large and small vans will they need to maximize the
number of passengers it can service?
Answers
32 is 10% of what number?
Answers
To find the answer I multiplied 32 by 10
Brainliest would be nice
1. What values of a, b, and c would you use in the quadratic formula for the following equation?
5x^2 +9x=4
A.a= -4, b = 9, c = 5
B.a=5, b= 9, c = -4
C.a=5, b= 4, c = 9
D.a= 5, b = 9, c=4
Answers
Answer:
D
Step-by-step explanation:
because it is the answer that I think of
You have come in contact with the Zombie Virus and are now infected with one strand. The
strand is doubling every hour. Which equation best represents the situation where x
represents the number of hours since infection and f(x) is the number of strands of the
Zombie Virus in your body.
Answers
Answer:
y=2^x
Step-by-step explanation:
Please help!!! Thank youu
Answers
Answer:
3rd choice
Step-by-step explanation:
You start with: aebt = c
Divide both sides by a: ebt = c/a
Take the natural log: ln(ebt) = ln(c/a)
which gives you: bt = ln(c/a)
Divide by b: t = ln(c/a) / b.
Each glass vase at a Mother’s Day brunch has 8 stems, of which 37.5% are stems of greenery. How many stems of greenery are in each vase?
Answers
You just do 8 times 37.5% or 0.375 and get 3.
how do i find a unit rate
Answers
Answer:
numerator divided by denominator
Step-by-step explanation:
According to historical data, it is believed that 12% of American adults work more than one job. To investigate if this claim is still accurate, a random sample of 100 American adults is selected. It is discovered that 18 of them work more than one job. A researcher would like to know if the data provide convincing evidence that the true proportion of American adults who work more than one job differs from 12%. What are the values of the test statistic and P-value for this test? Find the z-table here. z = 1.85, P-value = 0.0322 z = –1.85, P-value = 0.0322 z = 1.85, P-value = 0.0644 z = –1.85, P-value = 0.0644
Answers
Answer:
The answer is "Option C"
Step-by-step explanation:
Please find the complete question in the attached file.
In this question its value of P is 0.0644, the significance level is higher than 0.05. Which doesn't reject [tex]H_o[/tex],
Answer: C
Step-by-step explanation: EDGE 2022
Anyone know where you can find answers for a geometry test?
Answers
Answer:
quizlet or quizzes
Step-by-step explanation:
What does an insurance actuary do?
Answers
Answer:
An insurance actuary is a professional that analyzes financial risk using mathematics, statistics, and financial theories.
Step-by-step explanation:
Most actuaries work in the insurance industry and help insurance companies create and price insurance policies based on the likelihood that they will have to pay out claims.
Hope this helped!!!
Help! What does the bracket mean and how do I do the questions?
Answers
Answer:
maybe it meane 11/a
Step-by-step explanation:
Answer:
The bracket is the binomial.
The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]
Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]
The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.
The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):
9 brackets to provide x2 brackets to provide the number 3There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:
[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]
So:
a = 2
Coefficient is 495
What is the vertex of the graph of the function f(x) = x2 + 8x - 2?
O (4.18)
O (0,-2)
O (-8,-2)
0 (4-18)
Answers
Answer:
Vertex is (-4, -18)
Step-by-step explanation:
f(x) = [tex]ax^{2} +bx +c[/tex]
Let (h, k) be the vertex
An easy way to find h is to use the formula h = -b/2a
In your case where f(x) = [tex]x^{2} +8x - 2[/tex] a = 2 and b = 8
So, h = -8/2(1) = -8/2 = -4
Substitue -4 in for x to find k
k = ([tex]-4^{2}[/tex]) + 8(-4) - 2
= (16) - 32 - 2
= 16 - 32 - 2
= -18
Vertex is (-4, -18)
Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases
Answer:
Option D, (-4,-18)
Step-by-step explanation:
got it right on edge
Describe the sequence of transformations that maps PQR into P'Q'R' use the drop-down menus to explain your answer
Answers
Answer:
Rotation of 180° clockwise around the origin
Step-by-step explanation: if you rotate the first triangle 90 degrees, it will be in the lower quarter, so you need to rotate it 1 more time.
The transformations are clockwise rotation 180° and translation down by 1 unit.
What is rotation?Rotations are transformations that turn a shape around a fixed point. To rotate a shape we need: a centre of rotation. an angle of rotation (given in degrees) a direction of rotation – either clockwise or anti-clockwise.
From the given graph, the coordinates of triangle PQR are P(2, 1), Q(4, 6) and R(4, 1).
Rotating a point that has the coordinates (x,y) 180° about the origin in a clockwise direction, we have (-x,-y).
Here,
P(2, 1) → P'(-2, -1)
Q(4, 6) → Q'(-4, -6)
R(4, 1) → R'(-4, -1)
The translation down by 1 unit, we get (x, y-k)
P'(-2, -1) → P'(-2, -2)
Q'(-4, -6) → Q'(-4, -7)
R'(-4, -1) → R'(-4, -2)
The coordinates of triangle P'Q'R' are P'(-2, -2), Q(-4, -7) and R'(-4, -2)
Therefore, the transformations are clockwise rotation 180° and translation down by 1 unit.
Learn more about the rotation here:
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3. The graph y = x2 - 3 is translated down 6 units. What would be the new function rule? Y=8² - 9 À
Answers
Answer:
a= −1/9y+64/9
Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?
Answers
Answer:
Line segment PM = 4.2 length
ML = 6.2
ON = 3
NK = 2
Step-by-step explanation:
Just got it on plato your welcome:)
The segments formed by each transversals and the three parallel lines are
proportional according to the three parallel lines theorem.
The observations are;
The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]Reasons:
The question is a four part question
Let the equations of the parallel lines be as follows;
Line, x; y = x
Line, y; y = x + 1
Line z; y = x + 2
The points at which transversal 1 intersect the lines x, y, and z, are;
A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)
The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)
The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)
The ratio of the lengths of the segment formed by transversal 1 is therefore;
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]
The points at which transversal 2 intersect the lines x, y, and z, are;
D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)
The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)
The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]
Therefore;
[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]Which gives;
The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.The the comparison can also be made with the triangle proportionality theorem.
Learn more about triangle proportionality theorem here:
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Need someones help on this!
Answers
HELPPPPPPP
What is the value of x?
Answers
180 - 140 = 40.. divide that by 5 since it’s 5x, which’ ll leave you with 8.
Answer:
the angles are supplementary
so, 5x + 140 = 180
5x = 180 - 140
5x = 40
X = 40
5
X = 8
state the equation of a line with slope m=2 and y intercept =3 then graph the line
Answers
Answer:
y=2x+3
The coefficient attached to x is the slope and the number being added to it is the y intercept.
Please see the attached image
Which is NOT true?
A 10 + 9 = 7 + 12
B 10 = 10
C 10 - 4 = 3 + 3
D 10 = 19 - 11
Answers
Answer:
The answer is D
Step-by-step explanation:
:))))))))
Answer:
D is not true
Step-by-step explanation:
you can tell because 19-11 is 8 and that don't equal 10
f(x) = = -X1 + X1X2 X2 – I1X2 Determine if this function is Lipschitz continuous (specify local or global). Note that this function is defined on R2.
Previous question
Answers
To determine if the function[tex]F(x) = -x1 + x1x2x2 - i1x2[/tex]is Lipschitz continuous, we need to examine its partial derivatives and check if they are bounded.
The function F(x) is defined on [tex]R^2,[/tex] so let's calculate its partial derivatives with respect to x1 and x2
∂F/∂x1 = [tex]-1 + x2^2[/tex]
∂F/∂x2 = [tex]x1x2 - i1[/tex]
Now, to determine Lipschitz continuity, we need to check if the partial derivatives are bounded on the given domain.
For ∂F/∂x1, we can see that it is not bounded because as x2 approaches positive or negative infinity, the value of ∂F/∂x1 also approaches positive or negative infinity, respectively. Therefore, ∂F/∂x1 is not bounded.
For ∂F/∂x2, we can also see that it is not bounded because as x1 approaches positive or negative infinity, the value of ∂F/∂x2 also approaches positive or negative infinity, respectively. Therefore, ∂F/∂x2 is not bounded.
Since both partial derivatives are not bounded, we can conclude that the function F(x) = -x1 + x1x2x2 - i1x2 is not Lipschitz continuous, neither locally nor globally, on the domain [tex]R^2.[/tex]
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Si se tiene una tabla de 2.0 m de largo y de ancho 0.3 m, el área de toda la tabla es?
Answers
Answer:
solo multiplica los dos numeros 2x3= 6.
Answer:
aeaa axxd
Step-by-step explanation:
how do you put this writing expression into a equation;
A number added to 13 all divided by 2
Answers
Answer:
Step-by-step explanation:
Let x be the number.
(x + 13)/2
What is the lateral surface of the prism shown here
If you know the answer pls help I’ll give brainliest
Answers
Answer:
The lateral surface area of the prism shown is 1021 unit^2.
Step-by-step explanation:
2((21*9)/2) + (17*16) + (21*16) + (14*16) = 1021 unit^2
Answer: The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases
=ph where p represents the perimeter of the base and h represents the height of the prism.
4 Luke's math scores for this grading period are listed below. 84, 86, 83, 78, 92, 87, 92, 90, 88, 86 What is the mean of the data set graphed on the dot plot? (10 Points) X X Х ХХ ХХХ xx 日中 85 90 95 70 75 80 F H
Answers
Answer:
86.6
Step-by-step explanation:
Add them all up and divide by how many scores
Please help me! Only have about 10 minutes until I have to submit this assignment!
Answers
Answer:
626
Step-by-step explanation
A breakfast chef used different amounts of milk when making pancakes, depending on the number of pancakes ordered. The results are shown below. What is the average amount of milk used for an order of pancakes.
Answers
Answer:
1/2c
Step-by-step explanation:
A breakfast chef used different amounts of ill when
making pancakes, depending on the number of panes ordered. The results are shown below.
1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c
What is the average amount of milk used for an order of pancakes?
Average amount of milk used for an order of pancakes = {1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c} ÷ 10
= {6(1/2c) + 2(1/4c) + 2(3/4c)} ÷ 10
= {6/2c + 2/4c + 6/4c} ÷ 10
= {3c + 1/2c + 3/2c} ÷ 10
= {(6+1+3) / 2}c ÷ 10
= 10/2c ÷ 10
= 5c ÷ 10
= 5/10c
= 1/2c
The average amount of milk used for an order of pancakes = 1/2c
Rectangular prism surface area
Answers
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.