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3 years ago

HELP PLEASE!! BRAINLIST IF CORRECT

Mathematics

1 answer:

uysha [10]3 years ago

8 0

Answer:

Adriana is correct

Step-by-step explanation:

if you get rid of E, it is a 90 degree angle. so:

90-20=70

which is Adriana's answer

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M-x=n, solve for x. i got X= n+1/m is that correct?

scoundrel [369]

Answer:

It is x = m - n

Step-by-step explanation:

There are many ways to solve this question.

First, change the signs of the whole equation:

$-m +x = n$

Now, add m on both sides:

$-m +x +m= n+m$

$x = n+m$

4 0

3 years ago

A piece of cardboard has the dimensions (x + 15) inches by (x) inches with the area of 60 in 2 . Write the quadratic equation th

pochemuha

Answer:

$x^2 + 15x - 60 = 0$

The actual dimension is 18.28 by 3.28

Step-by-step explanation:

Given

Dimension:

$(x + 15)\ by\ x$

$Area = 60in^2$

Required

Determine the quadratic equation and get the possible values of x

Solving (a): Quadratic Equation.

The cardboard is rectangular in shape.

Hence, Area is calculated as thus:

$Area = Length * Width$

$60= (x + 15) * x$

Open Bracket

$60= x^2 + 15x$

Subtract 60 from both sides

$x^2 + 15x - 60 = 0$

<em>Hence, the above represents the quadratic equation</em>

Solving (b): The actual dimension

First, we need to solve for x

This can be solved using quadratic formula:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

$a = 1$

$b = 15$

$c = -60$

So:

$x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-15 \± \sqrt{15^2 - 4*1*-60}}{2*1}$

$x = \frac{-15 \± \sqrt{225 + 240}}{2}$

$x = \frac{-15 \± \sqrt{465}}{2}$

$x = \frac{-15 \± \21.56}{2}$

Split:

$x = \frac{-15 + 21.56}{2}$ or $x = \frac{-15 - 21.56}{2}$

$x = \frac{6.56}{2}$ or $x = \frac{-36.36}{2}$

$x = 3.28$ or $x = -18.18$

But length can't be negative;

So:

$x = 3.28$

The actual dimensions: $(x + 15)\ by\ x$ is

$Length =3.28 +15$

$Length =18.28$

$Width = x$

$Width =3.28$

<em>The actual dimension is 18.28 by 3.28</em>

3 0

3 years ago

A club with 12 members is to choose three officers president vice-presidents and secretary-treasurer if each office is to be hel

lesya692 [45]

Answer:

12P3 = 1320

Step-by-step explanation:

How you need select three persons of a group of twelve persons, but in the selection each member of the group has a different position, then you need use a permutation

Permutation is defined how

$nPr = \frac{n!}{(n-r)!}$

In our case n = 12 and r = 3

Thus

$12P3 = \frac{12!}{(12-3)!}$

12P3 = 1320

6 0

3 years ago

It’s cost 112 to turf a lawn of 56m square what amount would it cost to turf lawn area of 99m square

aleksley [76]

Answer:

198

Step-by-step explanation:

112/56=2

(2 is the unit rate)

99*2=198

3 0

4 years ago

Ben bought 2 shirts for $16 each, 3 pairs of socks for $2.50 a pair, and a pair of jeans for $37.75. If the sales tax rate is 6.

Troyanec [42]

Answer:92.81

Step-by-step explanation:

8 0

3 years ago

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