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3 years ago

The legs of a right triangle are 3 and 4 inches long how long is the hypotenuse

1 answer:

nataly862011 [7]3 years ago

3 0

In the right angled triangle, a hypotenuse is the longest line of the triangle and is always the one that is opposite the right-angle of the triangle.
If your triangle is a right angled triangle, the simplest way is to use the Pythagora's Theorem to find the length of the hypotenuse. The formula for which is
a² + b² = c² where c is the unknown hypotenuse and a and b are the other two sides.
<span>Using this formula,
3</span>² + 4² = c²
9 + 16 = c²
25 = c²
√25 = √c²
5 = c which if you notice is also the lengthiest .

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Put the following equation of a line into slope-intercept form, simplifying all

seraphim [82]

6x -15y = 135

-15y = 135 -6x

y = (135-6x)/-15

y = 2/5x + 9

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3 years ago

Determine whether the graph of the quadratic function y = –3x2 + 2x + 5 opens upward or downward. Explain.

givi [52]

Answer:

The graph of the function opens downwards.

Step-by-step explanation:

The graph opens upward if the coefficient of x^2 is higher than 0.

But, the coefficient of x^2 (-3) is less than 0.

So the graph of the function opens downwards.

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2 years ago

Answer this please

Gelneren [198K]

Answer:

x = 48

Step-by-step explanation:

We now that supplementary angles (as is the case for a straight line) add up to 180 degrees.

3x - 12 + x = 180

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x = 48

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2 years ago

How many ways can 4 candy bars be chosen from a store that sells 30 candy bars (combination)

Morgarella [4.7K]

Answer:

Using the combination formula:

Number of combination of r object chosen from the total object i.e n is given by:

$\frac{n!}{r! \cdot (n-r)!}$

As per the statement:

4 candy bars be chosen from a store that sells 30 candy bars

Number of candy bars chosen from a store that sells 30 candy bars(r)= 4

and

Total candy bars(n) = 30

then substitute in the given formula we have;

$\frac{30!}{4! \cdot (30-4)!}$

⇒ $\frac{30!}{4! \cdot (26)!}$

⇒ $\frac{30 \cdot 29 \cdot 28 \cdot 27 \cdot 26!}{1 \cdot 2 \cdot 3 \cdot 4 \cdot (26)!}$

Simplify:

⇒ $\frac{657720}{24} = 27,405$

therefore, 27,405 ways can 4 candy bars be chosen from a store that sells 30 candy bars

3 0

3 years ago

Read 2 more answers

Which of the following has a graph that is a straight line?

saul85 [17]

Equation 2 is a square root function, kind of like half of a sideways parabola, Equation 3 is a parabola, and 4 is a cubic function (s-shaped). This leaves Equation 1, which is a line with a slope of 2 with a y-intercept at 7. So I'd say the answer is 1.

5 0

2 years ago