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3 years ago

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Three rectangular tables are placed end to end to form one long table 7.8 meters long. The lengths of two of the tables are 3.5

meters and 1.6 meters. What is the length of the third small table?

1 answer:

WARRIOR [948]3 years ago

5 0

The length of the third smallest table is 1.6 because 7.8 is more than 3.5 and 3.5 is more than 1.6,

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Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

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2 years ago

Bond [772]

$\frac{77}{16} = \frac{64+13}{16} = \frac{64}{16} + \frac{13}{16} =4 \frac{13}{16}=4.8125\\=4.81 \times 100~percent=481~percent\to\boxed {D}$

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3 years ago

Solve the system by substitution.<br> x – 4y = -8<br> 5у – 1 = x<br> Submit Answer

Vikki [24]

Answer:

y = -7 and x = -36

Step-by-step explanation:

x - 4y = -8

5y - 1 = x

→ Substitute 5y - 1 into x - 4y = -8

5y - 1 - 4y = -8

→ Simplify

y - 1 = -8

→ Add 1 to both sides

y = -7

→ Substitute y = -7 into 5y - 1

( 5 × -7 ) - 1 = -36

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3 years ago

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Identify the equation of the circle that has its center at (16, 30) and passes through the origin

Veronika [31]

To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

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The equation of a circle with center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

Center at (16, 30)

This means that $x_0 = 16, y_0 = 30$

Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

Passes through the origin:

We use this to find the radius squared, as this means that $x = 0, y = 0$ is part of the circle. Thus

$(x - 16)^2 + (y - 30)^2 = r^2$

$(0 - 16)^2 + (0 - 30)^2 = r^2$

$r^2 = 16^2 + 30^2 = 1156$

Thus, the equation of the circle is:

$(x - 16)^2 + (y - 30)^2 = 1156$

For another example to find the equation of a circle, you can look at brainly.com/question/23719612

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3 years ago

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galben [10]

Answer:

The rule of the translation

Step-by-step explanation:

we know that

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3 years ago

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