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3 years ago

9

An isosceles triangle has legs whose lengths are 10 inches and a base whose length is 12 inches. Which of

1 answer:

mezya [45]3 years ago

6 0

Answer:

48

Step-by-step explanation:

We have to find the height of the triangle to find its area. The altitude to the base of an isosceles triangle is also the median, meaning the altitude forms a 6-8-10 right triangle, so the length of the height is 8, and therefore the area is 0.5 * 8 * 12 = 48.

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A cuboid has side lengths 3cm, 4cm and 7cm. A cylinder with a height double that of the longest side of the cuboid has the same

mart [117]

Step-by-step explanation:

Longest side of cuboid: 7cm

Height of cylinder:

2 × 7 = 14 cm

Volume of cuboid:

7x3x4=84 $cm^3$

Volume of cylinder:

$84=14\pi r^2 \\r=\sqrt{\frac{6}{\pi} } \ \ \ cm\\r=1.38 \ cm\\$

Surface area of the cylinder:

$\pi r^2 + 2 \pi r h$

$6+2\pi (\sqrt{\frac{6}{\pi} } ) (14)$

=128 cm^2

4 0

2 years ago

Consider the functions f and g defined by \[f(x) = \sqrt{\dfrac{x+1}{x-1}}\qquad\qquad\text{and}\qquad\qquad g(x) = \dfrac{\sqrt

tino4ka555 [31]

Answer:

The given functions are not same because the domain of both functions are different.

Step-by-step explanation:

The given functions are

$f(x)= \sqrt{\dfrac{x+1}{x-1}}$

$g(x) = \dfrac{\sqrt{x+1}}{\sqrt{x-1}}$

First find the domain of both functions. Radicand can not be negative.

Domain of f(x):

$\dfrac{x+1}{x-1}>0$

This is possible if both numerator or denominator are either positive or negative.

Case 1: Both numerator or denominator are positive.

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

Case 2: Both numerator or denominator are negative.

$x+1\leq 0\Rightarrow x\leq -1$

$x-1\leq 0\Rightarrow x\leq 1$

So, the function is defined for x≤-1.

From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).

Domain of g(x):

$x+1\geq 0\Rightarrow x\geq -1$

$x-1\geq 0\Rightarrow x\geq 1$

So, the function is defined for x≥1.

So, domain of g(x) is [1,∞).

Therefore, the given functions are not same because the domain of both functions are different.

4 0

3 years ago

Helppppop this is 7th grade math

Dennis_Churaev [7]

B and d are equivalent

3 0

1 year ago

Read 2 more answers

What is the value? <br><br> -8 * 2/3

Slav-nsk [51]

Answer: -5 2/3

Step-by-step explanation:

6 0

2 years ago

Given y=5x−3 with the domain D: {−2, −1, 0, 1, 2}, fill in the missing values of the table below.

spayn [35]

Answer:

see below

Step-by-step explanation:

y = 5x-3

Let x = -2 y = 5(-2) -3 = -10 -3= -13

Let x = -1 y = 5(-1) -3 = -5-3 = -8

Let x = 0 y = 5(0) -3 = 0-3 = -3

Let x = 1 y = 5(1) -3 = 5-3 = 2

Let x = 2 y = 5(2) -3 =10-3 = 7

7 0

2 years ago