Find the value of h for the parallelogram

A telescope is discounted 30%. Sales price is $126. Find the original price.

Gemiola [76]

Answer:

180 dollars

Step-by-step explanation:

if it was discounted by 30 percent, that means 126 is 70 percent of the orin=inal price. If you divide 126 by 70, you get 1.8 is the money worth 1 percent. Multiply 1.8 by 100 to get the original price, and you end up with 180 dollars.

5 0

3 years ago

Read 2 more answers

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, $A= \frac{1}{2}bh$

When $A=190 cm^2, h=10cm$

$190= \frac{1}{2}*b*10\\b=38cm$

$\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,$

$2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min$

The base is reducing at a rate of 3.4cm per min.

8 0

3 years ago

Let f(x)= lxl-3 Write a function g whose graph is a translation 5 units down of the graph of f.

soldier1979 [14.2K]

If the function "f(x) = lxl-3" were translated five units down the graph, g(x) would be lxl-8.

We must be familiar with function transformation and different forms of transformation in order to properly understand the question. When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects" to create a new function. For instance, by simply pushing the graph of the function g(x) = x2 up by 7 units, the graph of the function f(x) = x2 + 7 is generated. It is advantageous to convert a function since it saves us from having to create a new function from begin. Function transformations typically fall into one of three categories: 1. 2nd translation 3. dilation Reflection

The given query is about Translation of Function. To create a new function, translation moves the curve up or down and modifies its position. Translation comes in two flavours. Vertical and horizontal translation.

When the curve changes, "the function" shifts upward or downward. By doing this, a function of the form y = f(x) is transformed into f(x) ± k, where k stands for the vertical translation. In this case, the function moves up by k units if k > 0.

The function goes down by 'k' units if k < 0.

The curve in the given problem goes down by 5 units, so k = 5. Which is a vertical translation scenario. Consequently, y = f(x) becomes f(x) - k = g(x) and g(x) = f(x) - k = lxl-3 -5 = lxl - 8.

Therefore the new function after translation is g(x) = lxl - 8.

Learn more about function and types of transformation such as translation, dilation etc here

brainly.com/question/26092237

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4 0

1 year ago

A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection

svet-max [94.6K]

Answer:

x = 2 cm

y = 2 cm

A(max) = 4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45° = 1 = x / 4 - y or x = 4 - y y = 4 - x

A(r) = x* y

Area of the rectangle as a function of x

A(x) = x * ( 4 - x ) A(x) = 4*x - x²

Tacking derivatives on both sides of the equation:

A´(x) = 4 - 2*x A´(x) = 0 4 - 2*x = 0

2*x = 4

x = 2 cm

And y = 4 - 2 = 2 cm

The rectangle of maximum area result to be a square of side 2 cm

A(max) = 2*2 = 4 cm²

To find out if A(x) has a maximum in the point x = 2

We get the second derivative

A´´(x) = -2 A´´(x) < 0 then A(x) has a maximum at x = 2

5 0

2 years ago

A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the

kotegsom [21]

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

4 0

3 years ago