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2 years ago

Graph the inequality on the axes below. 2x + 5y 3-5

Mathematics

1 answer:

Afina-wow [57]2 years ago

3 0

Answer:

there ARE NO AXES

Step-by-step explanation:

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The altitude of a triangle is increasing at a rate of 1.5 1.5 centimeters/minute while the area of the triangle is increasing at

seraphim [82]

Answer:

The base reduces at 3.75cm/min

Step-by-step explanation:

Given

Let

$h \to altitude$

$b \to base$

$A \to Area$

So:

$\frac{dh}{dt} = 1.5cm/min$

$\frac{dA}{dt} = 1.5^2cm/min$

The area of a triangle is:

$A = \frac{1}{2}bh$

Calculate b when $A =88cm^2; h =8cm$

$A = \frac{1}{2}bh$

$88=\frac{1}{2} * b * 8$

$88 =b * 4$

Solve for b

$b = 88/4$

$b = 22$

We have:

$A = \frac{1}{2}bh$

Differentiate with respect to time

$\frac{dA}{dt} =\frac{1}{2}(h\frac{db}{dt} + b\frac{dh}{dt})$

Substitute the following values in the above equation

$\frac{dh}{dt} = 1.5cm/min$ $\frac{dA}{dt} = 1.5^2cm/min$ $b = 22$ $h = 8$

$1.5 = \frac{1}{2}(8 * \frac{db}{dt} + 22 * 1.5)$

Multiply both sides by 2

$3 = 8 * \frac{db}{dt} + 22 * 1.5$

$3 = 8 * \frac{db}{dt} + 33$

Collect like terms

$8 * \frac{db}{dt} = 3 -33$

$8 * \frac{db}{dt} = -30$

Divide both sides by 8

$\frac{db}{dt} = -\frac{30}{8}$

$\frac{db}{dt} = -3.75$

4 0

2 years ago

Find the value of x to the nearest degree. A. 35 B. 28 C. 51 D. 55

user100 [1]

Answer:

Step-by-step explanation:

First, we are already given the sides adjacent and opposite to ∠x. Therefore, we can use the tangent function. Recall that:

$\tan(x)=opp/adj$

The opposite side is 20 while the adjacent side is 14.

Plug in the numbers. Use a calculator:

$\tan(x)=20/14=10/7\\x=\tan^{-1}(10/7)\\x\approx55.0080\textdegree\approx55\textdegree$

Edits: Improved Answer. Removed Wrong Answer.

8 0

3 years ago

Read 2 more answers

What's the slope?? Thank you!!! :)))

Alja [10]

Answer:

The slope of this line is 4

Step-by-step explanation:

The slope is determined with two points.

Take the pairs (0, - 9) and (1, - 5).

The slope is:

m = (y₂ - y₁) / (x₂ - x₁) = (- 5 - (-9)) / ( 1 - 0) = 4/1 = 4

8 0

5 months ago

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You are making a fruit salad for a family dinner and only have $32 to spend making it. Grapes(x) cost $4 per pound and watermelo

Archy [21]

Answer:

this is easy. you just need to write and equation that shows how many pounds of each fruit you can buy in total (x for 1 pound of grapes and y for 1 pound of watermelon). this would make the equation 32 = 4x + 2x.

8 0

2 years ago

Convert the annual rate of 2% to a quarterly rate

xenn [34]

divide the annual rate by four because there are four quarters

8 0

2 years ago