Please help!! I have been stuck on this question for a while

Mathematics

1 answer:

denis23 [38]1 year ago

8 0

Answer:

$180\ in.^2$

Step-by-step explanation:

The area of a rectangle can is defined as $A = wl$ where w is the width and l is the length. The width in this case is 12 and the length is 15. Also it doesn't really matter what order you put it in. This gives you an area of $(15\ in.) (12\ in.) = 180\ in.^2$

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A washer and dryer cost $803 combind the washer costs $47 less then the dryer whats is the cost of the dryer

Naddik [55]

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 803

x = y - 47

using the second equation a substitute in the first equation we get

y - 47 + y = 803

2y = 850

y = $425

FYI

x = y - 47 = 425 - 47 = $378

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2 years ago

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The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Mashcka [7]

Answer:

$\frac{\sqrt{10}}{2}$

Step-by-step explanation:

The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that $a^2+b^2=c^2$ , where $c$ is the hypotenuse of the triangle, and $a$ and $b$ are the two legs of the triangle.

From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of $\sqrt{5}$ , we have:

$x^2+x^2=\sqrt{5}^2,\\2x^2=5,\\x^2=\frac{5}{2},\\x=\sqrt{\frac{5}{2}}=\frac{\sqrt{5}}{\sqrt{2}}=\frac{\sqrt{5}}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\boxed{\frac{\sqrt{10}}{2}}$