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Karo-lina-s [1.5K]

3 years ago

7

What is an equation of the line that passes through the point ( − 5 , − 3 ) (−5,−3) and is parallel to the line 3 x + 5 y = 15 3

x+5y=15?

1 answer:

aivan3 [116]3 years ago

6 0

Answer:

would it be 5y

Step-by-step explanation:

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What are the first four terms of the sequence an=n2+4

Igoryamba

Step-by-step explanation:

Given formula

an = n² + 4

Now the first four terms of the sequence are

a1 = 1² + 4 = 5

a2 = 2² + 4 = 4 + 4 = 8

a3 = 3² + 4 = 9 + 4 = 13

a4 = 4² + 4 = 16 + 4 = 20

The terms are

5 , 8 , 13 and 20.

7 0

3 years ago

A square napkin is folded in half on the diagonal and placed on the diameter of a round plate (see diagram below). If the folded

Crank

Answer:

$A=81(\pi-1)\ in^2$

Step-by-step explanation:

step 1

Find the area of the plate

The area of a circle is given by the formula

$A=\pi r^{2}$

we have

$r=18/2=9\ in$ ---> the radius is half the diameter

substitute

$A=\pi (9)^{2}\\A=81\pi\ in^2$

step 2

Find the area of the square napkin folded (is a half of the area of the square napkin)

we know that

The diagonal of the square is the same that the diameter of the plate

Applying Pythagorean theorem

$D^2=2b^2$

where

b is the length side of the square

we have

$D=18\ in$

substitute

$18^2=2b^2$

solve for b^2

$b^2=162\ in^2$ -----> is the area of the square

Divide by 2

$162/2=81\ in^2$

step 3

Find the area of the space on the plate that is NOT covered by the napkin

we know that

The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate

so

$A=(81\pi-81)\ in^2$

simplify

$A=81(\pi-1)\ in^2$

8 0

3 years ago

How do you create a model of 15% of 60

Misha Larkins [42]

The answer is 9 by the way. Draw a circle with sixty slices, shade in 15% or 9 slices.

6 0

3 years ago

Complete the following ratio table

Nady [450]

Could help if you showed the rest of the table

6 0

3 years ago

2root 3 x 3 root 8 fully simplified

LuckyWell [14K]

Answer:

$12\sqrt{6}$

Step-by-step explanation:

<h3>Given expression</h3>

$2 \sqrt{3} *3\sqrt{8}$

<h3>Simplify the expression in steps as below</h3>

$2 \sqrt{3} *3\sqrt{8} =$
$2 \sqrt{3} *3\sqrt{2^2*2} =$
$2 \sqrt{3} *3*2\sqrt{2} =$
$2*6* \sqrt{3} *\sqrt{2} =$
$12* \sqrt{3*2} =$
$12\sqrt{6}$

Used properties in solution process:

$\sqrt{a^2} =a$
$\sqrt{a}\sqrt{b} =\sqrt{ab}$

8 0

2 years ago