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GarryVolchara [31]
2 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]2 years ago
6 0

Answer:

a

Step-by-step explanation:

got right on edge

natta225 [31]2 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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What is the volume of a pyramid whose base is a square of area 36 and whose four faces are equilateral triangles?
irina1246 [14]

Answer:

V = 36\sqrt{2}

Step-by-step explanation:

The volume of a pyramid is

V = \dfrac{1}{3}Bh

where B = area of the base, and h = height of the pyramid

The base is a square.

A = s^2

s = \sqrt{A}

s = \sqrt{36}

s = 6

The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.

An altitude of this triangle measures

a = \sqrt{6^2 - 3^2}

a = \sqrt{27}

The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.

h = \sqrt{(\sqrt{27})^2 - 3^2 }

h = \sqrt{27 - 9}

h = \sqrt{18}

h = 3 \sqrt{2}

Volume of the pyramid:

V = \dfrac{1}{3}Bh

V = \dfrac{1}{3}(36)(3\sqrt{2})

V = 36\sqrt{2}

5 0
3 years ago
A dance teacher asks, "How many students are enrolled in the Saturday morning class this term?"
fredd [130]
Can you show me the drop down menus so I could help you
7 0
1 year ago
Read 2 more answers
A rock is tossed over a seaside cliff. The equation y=−16x^2+50x+118 gives the height of a rock above sea level. How long until
Karolina [17]
I don’t know I just want to get points but good luck
8 0
2 years ago
Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse
Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}

Removing the proportionality sign and introducing a constant k, we have

\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}

So, if it's an inverse variation, the relationship would be

y=\frac{-14}{x}

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

y=\frac{-14}{x}

3 0
1 year ago
Simplify -3p - 2m + 8p - 7m
Nadya [2.5K]
After you combine like terms you will get 5p - 9m.

-3p + 8p is the same thing as 8p - 3, so you get 5p.
-2m + (-7m) is -9m

-3p and 8p are like terms.
-2m and -7m are also like terms.



7 0
3 years ago
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