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Vinil7 [7]
3 years ago
8

Can someone please help

Mathematics
1 answer:
seraphim [82]3 years ago
7 0

Answer:

<h2><u><em>H </em></u></h2>

because a right angle's base is on the bottom

Step-by-step explanation:

sub to Pen Paper

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
A chord of a circular clock is 48 inches long, and its midpoint is 7 inches from the center of the circle. What is the radius of
Sphinxa [80]

ANSWER

The radius is 25 inches

EXPLANATION

From the diagram, the radius of the circle is AC.

From the Pythagoras Theorem,

{r}^{2}  =  {7}^{2}  +  {24}^{2}

r^{2}  =  49 +  576

Simplify

r^{2}  = 625

Take positive square root,

r =  \sqrt{625}

r = 25

Hence the radius is 25 inches

8 0
3 years ago
Find the values forX, Y, and Z so that all the following statements are true.
kvasek [131]

Answer:

x = -36, y = 6, z = -6

Step-by-step explanation:

The requirement x/z = -z means x = -z².

The requirement x/y = z means x = yz.

These two requirements together mean yz = -z², or y = -z.

The requirements that z/2 and z/3 are integers mean that z is a multiple of 2·3 = 6. The smallest magnitude non-zero multiple is z=-6 (since we also require z < -z).

Using z=-6, we have x = -z² = -36; y = -(-6) = 6.

For some positive integer n, ...

... x = -36n², y = 6n, z = -6n.

8 0
3 years ago
A circle has its center at (1, 4) and a radius of 2 units. Find the equation of the circle using the Pythagorean Theorem.
Aleonysh [2.5K]
(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles
8 0
3 years ago
0.6 is the cube root of what value
Delvig [45]
Is there choices ? I got 0.216
8 0
4 years ago
Read 2 more answers
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