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3 years ago

A rectangle has a width of 14 cm in a diagonal 20 cm what is the length of the rectangle

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

14.2825569 or 14.28

Step-by-step explanation:

Use the pythagorean theorem, put 20 in as c and 14 as b, then solve

20^2-14^2=a^2

400-196=204

square root of 204= 14.2825569

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kvasek [131]

What's a hundredth?

it's like this:

0.01

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3 years ago

Given the graph of f(x), find each of the following:

Y_Kistochka [10]

The value of the function at x = -1, 0, 1, 2, and 3 will be -4, 3, 2, -1, and 0, respectively.

<h3>What is a function?</h3>

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

From the graph of f(x), then the value of the function at x = -1, 0, 1, 2, and 3 will be given as,

x f(x) Feedback

-1 -4 Point is in the fourth quadrant

0 3 Point is in the y-axis

1 2 Point is in the first quadrant

2 -1 Point is in the second quadrant

3 0 Point is in the x-axis

More about the function link is given below.

brainly.com/question/5245372

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1 year ago

Two angles are supplementary if the sum of their measures is 180.

anastassius [24]

True.

two angles would be complementary if the sum of their angle measures is 90 degrees.

60 degrees and 30 degrees make a complementary angle while 90 and 90 degrees make a supplementary angle.

4 0

3 years ago

I’m stuck can some one help me

abruzzese [7]

Answer:

3) Midpoint is (-4,0.5)

Option A is correct.

4) Midpoint is (2.5,0)

Option B is correct.

5) The factors are (x+4)(x-7)

Option C is correct.

6) The factors are (x+4)(x+2)

Option A is correct.

Step-by-step explanation:

Question 3

Find midpoint of the following:

(2,-7), (-10,8)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-7, x_2=-10,y_2=8$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2-10}{2},\frac{-7+8}{2} )\\Midpoint=(\frac{-8}{2},\frac{1}{2} )\\Midpoint=(-4,0.5 )$

So, Midpoint is (-4,0.5)

Option A is correct.

Question 4

Find midpoint of the following:

(2,-10), (3,10)

The formula used to find midpoint is: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

We have $x_1=2, y_1=-10, x_2=3,y_2=10$

Putting values and finding midpoint

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )\\Midpoint=(\frac{2+3}{2},\frac{-10+10}{2} )\\Midpoint=(\frac{5}{2},\frac{0}{2} )\\Midpoint=(2.5,0 )$

So, Midpoint is (2.5,0)

Option B is correct.

Question 5

Factor each completely

$x^2-3x-28$

We will break the middle term and find factors

$x^2-3x-28\\=x^2-7x+4x-28\\Taking\:common\\=x(x-7)+4(x-7)\\=(x+4)(x-7)$

So, the factors are (x+4)(x-7)

Option C is correct.

Question 6

Factor each completely

$x^2+6x+8$

We will break the middle term and find factors

$x^2+6x+8\\=x^2+4x+2x+8\\=x(x+4)+2(x+4)\\=(x+4)(x+2)$

So, the factors are (x+4)(x+2)

Option A is correct.

7 0

3 years ago

Find the 52nd term of the following arithmetic sequence.<br> 3, 9, 15, 21,

Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

$t_n=a +(n-1)d \\ \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\ \therefore \: t_{52}=3 +306 \\ \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\$

4 0

4 years ago