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ivolga24 [154]
3 years ago
8

An artist wants to recreate a mural of a triangle that is too large to fit onto his canvas. He decides to draw a similar but muc

h smaller version of the triangle with the same proportions. If the lengths of the sides of the larger triangle are 5, 12, and 13 feet, and the hypotenuse of the smaller triangle is 5 feet, what is the approximate length of the shortest side of the smaller triangle?
f) 1.59
g) 1.75
h) 1.85
j) 1.92
k) 2.15
Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

13 \div 5 = 5 \div x \\ x =  \frac{5 \times 5}{13}  \\ x = 1.92
The answer is j.
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48

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What is the coefficients of x² in (2-3x) (x²-5)​
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Answer:

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Step-by-step explanation:

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<em>Arranging it in descending order</em>

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I need to know a system of equations to solve this please
Snowcat [4.5K]

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Julia has to mow two yards she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard she has
Mazyrski [523]

Answer:

Julia has  enough gas to mow the two yards.

Step-by-step explanation:

Given:

Julia needs \frac{13}{16} gallon of gas to mow first yard.

Julia needs \frac{2}{5} gallon of gas to mow second yard.

Julia has a total of 1\frac{1}{2} gallon of gas in in her can.

To find whether she has enough to mow both yards.

Solution:

Total gallons of gas needed to mow two yards can be found out by :

⇒ \frac{13}{16}+\frac{2}{5}

Taking LCD =80.

⇒ \frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}

⇒ \frac{65}{80}+\frac{32}{80}

Adding the numerators.

⇒ \frac{97}{80}

⇒ 1.2125 gallons

Julia has 1\frac{1}{2} gallon = 1.5 gallons of gas in in her can.

Since  1.5>1.21 , thus we can say that Julia has enough gas to mow the two yards.

8 0
3 years ago
4. A horizontal ellipse, centered at the origin has a major axis of 10 units and minor axis of 8 units. Write the
s2008m [1.1K]

Answer:

\frac{x^2}{25} +\frac{y^2}{16} =1

Step-by-step explanation:

For ellipses, the length of the major axis is represents as:

Major axis = 2a

where a is called the semi-major axis.

In this case since the major axis is equal to 10 units:

10=2a

solving for the semi-major axis a :

a=10/2\\a=5

and also the minor axis of an ellipse is represented as:

Minor axis = 2b

where b  is called the semi-minor axis.

Since the minor axis has a length of 8 units:

8=2b

solving for b:

b=8/2\\b=4

Now we can use the equation for an ellipse centered at the origin (0,0):

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1

and substituting the values for a and b:

\frac{x^2}{5^2} +\frac{y^2}{4^2} =1

and finall we simplify the expression to get the equation of the ellipse:

\frac{x^2}{25} +\frac{y^2}{16} =1

5 0
3 years ago
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