8 in. 7 in. 8 in. 12 in. Find the perimeter of the figure.

Mathematics

1 answer:

Leona [35]3 years ago

8 0

Answer:

35 in.

Step-by-step explanation:

8+7+8+12=35

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90. The number of daily evening newspapers in the United States has decreased by 46.5% to

aleksandr82 [10.1K]

Answer:

700

Step-by-step explanation:

Given:

Daily evening newspapers in 2015 = 389

Percentage decrease from 2000 to 2015 = 46.5%

To find:

Number of newspapers in 2000 = ?

Solution:

Let the number of newspapers in 2000 = $x$

When 46.5% of the total newspapers in 2000 ( $x$ ) is subtracted from the total newspapers in 2000 ( $x$ ), it will be equal to the number of newspapers in 2015.

Making the equation as per the given statement:

$x-x\times 46.5\%=389\\\Rightarrow \dfrac{100x-46.5x}{100}=389\\\Rightarrow 53.5x=38900\\\Rightarrow x\approx \bold{727}$

Therefore, the answer is:

There were 727 newspapers in 2000.

7 0

2 years ago

Determine the domain of the function f(x)=1/3x^2+10x+8

cricket20 [7]

The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)