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Art [367]
3 years ago
12

How many triangles can I make with side lengths of 15 in, 7 in, and 4 in?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
If those sides can form a triangle, the longest side must be less than the sum of the other 2 sides.

15 is NOT less than (7 + 4) and therefore no triangle can be formed.

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2 years ago
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Felix's washing machine uses 6 gallons of water. How much water does it use in liters? A gallon is approximately 3.79 liters. Ro
dlinn [17]

Answer:

22.74 liters

Step-by-step explanation:

GIven data

Felix's washing machine uses 6 gallons of water

we are told that  A gallon is approximately 3.79 liters

Hence if  a gallon is approximately 3.79 liters

then 6 gallons of water will be x liters

cross multiply we have

x= 6*3.79

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Hence 6 gallon will be 22.74 liters

7 0
3 years ago
A recipe shows that the yeast needed for a bread recipe is 2 and one-thirdounces. Which of the following decimals is equivalent
ddd [48]

Answer:

2.3 b

Step-by-step explanation:

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8 0
3 years ago
Write a equation of a hyperbola given the foci and the asymptotes
professor190 [17]

Solution:

The standard equation of a hyperbola is expressed as

\begin{gathered} \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1\text{ \lparen parallel to the x-axis\rparen} \\ \frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ \lparen parallel to the y-axis\rparen} \end{gathered}

Given that the hyperbola has its foci at (0,-15) and (0, 15), this implies that the hyperbola is parallel to the y-axis.

Thus, the equation will be expressed in the form:

\frac{(y-k)^2}{a^2}-\frac{(x-h)^2}{b^2}=1\text{ ----equation 1}

The asymptote of n hyperbola is expressed as

y=\pm\frac{a}{b}(x-h)+k

Given that the asymptotes are

y=\frac{3}{4}x\text{ and y=-}\frac{3}{4}x

This implies that

a=3,\text{ and b=4}

To evaluate the value of h and k,

undefined

3 0
1 year ago
Write $2.161616 as a fraction and mixed number
Alona [7]
Fraction is 2.161616/1000000
mixed number is 2 161616/1000000
4 0
3 years ago
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