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n200080 [17]
3 years ago
13

Mr.smog just bought a big-screen tv set. The screen is 48 in. wide and 27 in. high. Find the lenghth of its diagonal

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0
Look\ at\ the\ picture.\\\\Use\ the\ Pythagorean\ theorem:\\\\d^2=48^2+27^2\\\\d^2=2304+729\\\\d^2=3033\\\\d=\sqrt{3033}\\\\\boxed{d\approx55\ (in)}

amid [387]3 years ago
4 0

Answer:

55

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2

48^2 + 27^2 = (diagonal)^2

2304 +729 = (diagonal)^2

diagonal = 55 inches

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svetoff [14.1K]
Area of a triangle is given by 1/2bh where b is the base and h is the perpendicular height of the triangle.
The area is 80x∧5y³ and the height is x∧4y
Thus; 80x∧5y³ = 1/2(x∧4y) b
         160x∧5y³ = (x∧4y)b
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                  b = 160xy²
Therefore, the base of the triangle is 160xy²
7 0
3 years ago
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Answer:

Graph B shows function f of x equals 4 multiplied by 3 to the power of negative x.

Step-by-step explanation:

f(x) = 4(3)^{-x} is the value 4 times three raised to the negative x. Graph B is the best representation.

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Answer:

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Step-by-step explanation:

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45 miles per hour<br><br> ? miles per minute
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Julio bought 12 bulbs of jumbo garlic for $11.88. How many bulbs of jumbo garlic can Anjali buy if she has $3.96?
Molodets [167]

Answer:

Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

Step-by-step explanation:

To calculate how many bulbs of jumbo garlic Anjali can buy with $3.96, we must first calculate the unit rate of the jumbo garlic. Julio buying 12 bulbs of jumbo garlic for $11.88 can be represented as:

\frac{11.88}{12}

Divide the fraction by \frac{12}{12} to calculate the unit rate:

\frac{.99cents}{1bulb}

So if each bulb of garlic costs $0.99, which we can think of as being $1.00 at the moment, we could figure that Anjali's $3.96 would be closer to $4 than it is to $3, so let's multiply the unit rate by \frac{4}{4}:

\frac{.99}{1} × \frac{4}{4}=

\frac{3.96}{4}

Therefore, Anjali can buy 4 bulbs of jumbo garlic if she has $3.96.

_

Check your work by dividing \frac{3.96}{4} by \frac{4}{4} to see if you will get your initial unit rate:

\frac{3.96}{4} ÷ \frac{4}{4} =

\frac{0.99}{1}

Therefore, our solution is correct!

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