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GarryVolchara [31]
3 years ago
9

Carlos went to buy a television the same size as his friend’s. When he got to the store, he found that televisions are measured

along the diagonal. Which equation will help him find the size he wants?
2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 35 inches and width of 20 inches.
20 squared + 35 squared = d squared
d squared + 20 squared = 35 squared
d squared + 35 squared = 20 squared
35 squared minus 20 squared = d squared
Mathematics
2 answers:
igor_vitrenko [27]3 years ago
6 0

Answer:

a

Step-by-step explanation:

got right on edge

natta225 [31]3 years ago
4 0

Answer:

20 squared + 35 squared = d squared

Step-by-step explanation:

The Pythagorean theorem a^2+b^2=c^2

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4 years ago
A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili
____ [38]

Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2

Area of square,

A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2

Now, probability is given by :

P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785

Therefore, the probability that the point is inside the circle is 0.785 .

4 0
3 years ago
What is the cost of 5 pounds of bananas if 2 pounds cost $1.16
serious [3.7K]
The answer is $2.90
 
Hope that helps
7 0
3 years ago
Read 2 more answers
Solve for x in the equation x squared + 2 x + 1 = 17.
Whitepunk [10]

Answer:

x = negative 1 plus-or-minus StartRoot 17 EndRoot

Step-by-step explanation:

Given:

x^2+2x+1=17

We need to solve for x.

x^2+2x+1=17 \ \ \ \ equation\ 1

First we will solve L.H.S

Factorizing the equation we get;

x^2+2x+1\\=x^2+x+x+1\\=x(x+1)+1(x+1)\\=(x+1)(x+1)\\=(x+1)^2

Now Things which are equal to the same thing are also equal to one another. Since

x^2+2x+1=17

x^2+2x+1=(x+1)^2

then, according to the law of transitivity,

(x+1)^2=17

Now, applying the Square Root Principle we get:

\sqrt{(x+1)^2} =\sqrt{17}

Now Square root and square gets cancelled.

x+1=\sqrt{17} \\x=-1+\sqrt{17}

Since a square root has two values, one positive and the other negative.

x=-1\±\sqrt{17}

Hence  Final Answer is x=-1\±\sqrt{17}.

5 0
3 years ago
Read 2 more answers
The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the​ length, find the
Paul [167]
So.. hmm notice the picture here

we know the length is 59 more than twice the width,
twice the width, 2 * w, or 2w
59 more than that
2w + 59

we also know that, whatever that is, the diagonal of it is,
2 more inches than that, or
(2w + 59) + 2

now.. use the pythagorean theorem
\bf c^2=a^2+b^2\implies \qquad 
\begin{cases}
a=2w+59\\
b=w\\
c=(2w+59)+2\to 2w+61
\end{cases}
\\\\\\
(2w+61)^2=(2w+59)^2+(w)^2
\\  \qquad\qquad \uparrow\qquad \qquad\qquad \qquad \uparrow  \\
\textit{expand using binomial theorem, or FOIL}

you'd end up with a quadratic, after simplifying, solve for "w"

7 0
3 years ago
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