what is LK rounded to the nearest hundredth?what is JK rounded to the nearest hundredth?

In the isosceles trapezoid GJIH the length of HJ is 8.6

It is given that GJIH is the isosceles trapezoid

In an isosceles trapezoid the two non parallel sides are isosceles, that is the angle formed by them and the length of those two sides are equal.

The sides ,

GH = JI

GI and JH are the two diagonals of the trapezoid.

In any isosceles trapezium have equal opposite sides. Therefore diagonals of trapezium are equal.

The length of one of the diagonal GI is 8.6

So the length of another diagonal HJ is lenght of GI = 8.6

Therefore, in the isosceles trapezoid GJIH the length of HJ is 8.6

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5 receivers

8 compact disc players

12 speaker systems

if we want one of each the possible stereo systems is 5 because is the least amount available

if we try to make the sixth we dont have other receiver

The median is the middle of a sorted list of number. So, we need to place the number in value order, that is,

then, the middle is between the 5th and 6th number:

then, we need to find the mean value of these numbers. So, the median is

Therefore, the answer is option C.

Height is 5 feet 8 inches.

1 feet is 12 inches. So,

(5*12) + 8 = 68 inches

Now, let's convert to meters.

We know:

1 inch = 0.0254 meters

So, 68 inches would be:

68 * 0.0254 = 1.7272 meters

We would need to convert the fractional part (excess of 1, which is 0.7272) to cm.

We know:

1 m = 100 cm

So,

0.7272 m is:

0.7272 * 100 = 72.72 cm

Hence,

The answer is:

We need to find the first five numbers of a sequence determined by the expression:

Notice that each time we increase the value of x by 1 unit, we add 12 to the previous result. Thus, subsequent terms in the sequnce differ by 12 units.

From the options, the only one with all the terms differing by 12 units is the beginning at x=1:

Therefore, the answer is: C. 18, 30, 42, 54, 66

To find the confidence interval for a proportion, we use the following formula:

Where:

p is the sample proportion

z the chosen z-value

n sample size

Since we want to make a confidence interval of 95%, we need to use z = 1.96. The sample size is n = 879.

We can use cross multiplication to find p, which is the percentage of the total sample size that preferred foreign cars:

p is the proportion in decimal, we need to divide by 100:

Now, we can use the formula:

Thus, the answer is:

Lower endpoint: 0.297

Upper endpoint: 0.359

Okay, here we have this:

Considering the provided information, we are going to identify the requested equation, so we obtain the following:

Based on the information given, we obtain the following function:

Number of Gallons Drained=3*Minutes Elapsed

g=3m

Finally we get that the equation is: g=3m, where g represents the number of gallons drained, and m the number of minutes elapsed.

A chemist is using 383 milliliters of a solution of acid and water.

If 17.3% of the solution is acid, how many milliliters of acid are there?

We basically need to calculate 17.3% of 383 milliliters.

Therefore, the solution has 6.3 milliliters of acid.

ok

When f(x) = 3, from the graph we obtain that x = 1 or only 1

Answer:

64.666666666666666666666666... or 64 2/3 or sixty-four and two thirds

Area of the given shape is obtained as,

Perimeter of the shape is simply the addition of all the sides

i.e.

The range of the given data set will be 15.

So, the range of the given data:

The range will be:

Therefore, the range of the given data set will be 15.

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Correct questions:

Work out the range 51,38,48,36,39,40,39,47

Given the function:

Let's graph the function.

Let's find the following:

• (a). x-intercepts:

The x-intercepts are the points the function crosses the x-axis.

To find the x-intercepts substitute 0 for f(x) and solve for x.

Factor the left side using AC method.

Find a pair of numbers whose sum is 4 and product is -12.

We have:

6 and -2

Hence, we have

Equate the individual factors to zero and solve for x.

Therefore, the x-intercepts are:

x = -6 and 2

In point form, the x-intercepts are:

(x, y) ==> (-6, 0) and (2, 0)

• (b). The y-intercept.

The y-intercept is the point the function crosses the y-axis.

Substitute 0 for x and solve f(0) to find the y-intercept:

Therefore, the y-intercept is:

y = -12

In point form, the y-intercept is:

(x, y) ==> (0, -12)

• (c). What is the maximum or minimum value?

Since the leading coefficient is positive the graph will have a minimum value.

To find the point where it is minimum, apply the formula:

Where:

b = 4

a = 1

Thus, we have:

To find the minimum values, substitute -2 for x and solve for f(-2):

Therefore, the minimum value is at:

y = -16

Using the point form, we have the minimum point:

(x, y) ==> (-2, -16).

• (d). Use the points to plot the graph.

We have the points:

(x, y) ==> (-6, 0), (2, 0), (0, -12), (-2, -16)

Plotting the graph using the points, we have:

Answer:

[tex]x^{2} + 8x + 34 + \frac{190}{x-5}[/tex]

Step-by-step explanation:

Statement 1:

ΔABC ≅ ΔCBD ≅ ΔACD

Reason: Given

_________________________________

Statement 2:

b/c = y/b; a/x = x/a

Reason: corresponding sides of similar triangles are proportional

(we want to have to have in the next statement that b² = cy; a² = cx

and proportionality is usually represented as fractions, if we observe the figure, the fractions of this statement correspond to the division of similar sides of the triangles)

________________________

Statement 3:

b² = cy; a² = cx

Reason: cross product property

(if we multiply both sides of b/c = y/b by b, we obtain b² = cy, and if we do the same for a/x = x/a we obtain a² = cx, since we are multiplying, it is called product, then, the option that best fit this field is cross product property)

_______________________________

Statement 4:

a² + b² = cx + cy

Reason: addition property of equality

(we want to prove that a² + b² = c², from the previous statement we can add both equalities so we obtain a² + b² , which is nearer to the conclusion we want to prove)

____________________

Statement 5:

a² + b² = c(x + y)

Reason: factor

(we find the common factor of cx and cy, it is c, then cx + cy = c(x + y))

___________________________

Statement 6:

c = x + y

Reason: Segment addition postulate

(we almost have the conclusion in the previous statement except for the (x + y) of the right part of the equality, since in the figure we observe that c = x + y, then we can use it to replace (x + y))

___________________________

Statement 7:

a² + b² = c²

Reason: substitution

(we substitute c by (x + y) of the statement 5)

⊕

Solution

See attached graph below

The intersection point of the graph is ( - 0.72 , 0.37 )

The customer wants to leave 15% tip, if the bill is $35, then the tip is

Therefore, the customer should leave $5.25 as a tip.

Given

To find the value of x.

Explanation:

It is given that,

Then,

Hence, the value of x is 16.22.

We can apply trigonometric ratios, on this case we ned to use sine

Where alpha is th reference angle, O the opposite side from the reference angles and H the hypotenuse of the triangle

On our case O is b and H is c, then replacing

then sinB is b/c, then right option is first

The original function is f(x) = 4x - 12...

to find the inverse function, we need to solve it for x:

f(x) = 4x - 12

f(x) + 12 = 4x

(f(x) + 12)/ 4 = x

f(x)/4 + 3 = x

if we change now f^-1(x) for x and x for f^-1(x):

x/4 + 3 = f^-1(x)

f^-1(x) = x/4 + 3

f^-1(x) = (1/4)x + 3

Answer:

Solution:

To find the appropiate trigonometric formula.

we know that,

for the right angle triangle, we have that,

The side opposite to the right angle is hypotenuse, the side opposite to the angle theta is opposite side and the other side is adjacent side.

Also we have,

Using this we get,

Answer is:

Let it be:

• x: The smaller number.

• x + 22: The larger number.

The product of both numbers is:

Since the product of both numbers is -121, we can write:

The word 'is' is represented by the symbol =.

Therefore, the equation to solve the given word problem is:

To find the numbers, we solve the previous equation.

Now, we can factor the expression on the left side using the perfect square trinomial rule.

Then, we have:

Finally, we find the another number.

Therefore, the numbers are -11 and 11.

A bookstore spent $241 to send a group of students to a reading

competition. Each student who won was given a $5 gift certificate. And

a personalized bookmark that cost $2. Included in the $241 was $45 for

the salary of a staff member who accompanied the students to the

competition. How many students won prizes?

Let

x -----> number of students that won prizes

we have that

the equation that represents this situation is

241=(5+2)x+45

241=7x+45

solve for x

7x=241-45

7x=196

x=28

therefore

The rectangle is moved 6 units to the left and 3 units down.

So, the rule of translation will be:

This is the result:

(x - 6, y - 3)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

f(x) = - 2x² + 4x + 2

Step 02:

y = ax² + bx + c

a = -2

b= 4

c = 2

vertex of the parabola equation

yv = (- 32) / (- 8)

yv = 4

xv = 1

Vertex:

(xv , yv ) = (1 , 4 )

The answer is:

The vertex of the parabola is (1 , 4)

Answer:

Explanation:

The area of the rectangle with the given coordinates is: