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2 years ago

!PLEASE HELP!!!!!!!!!!

Mathematics

1 answer:

DaniilM [7]2 years ago

8 0

I would say 7 because if you divide 28\4 you get 7 and if you add 7 four times you get 28 for WY+XZ=28

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Find the soluations to (x+3)^2=49

Jobisdone [24]

Answer:

x = 4 , − 10

Step-by-step explanation:

3 0

3 years ago

Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$

horrorfan [7]

Answer:

$A +B+C+D = 3$ is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

$A+B+C+D = ?$ if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under $\sqrt$ (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

$\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \ (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}$

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, $A +B+C+D = 5+6-10+2 = \bold3$

5 0

3 years ago

A cone has a slant height of 26 inches and a radius of 24 inches. What is the volume of the cone?

zepelin [54]

Answer:

V≈6031.86in³

Step-by-step explanation:

lmn if you need a explanation

8 0

3 years ago

Read 2 more answers

A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki

konstantin123 [22]

Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

P = 2L + 2W

Substituting the perimeter,
36 = 2L + 2W
Simplifying,
18 = L + W

The area is calculated by multiplying the length and width as below,
A = 80 = LW

Substituting the expressions,
80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m.

8 0

3 years ago

Nonsense will be reported!!

Contact [7]

Answer:

See below

Step-by-step explanation:

d = 78° (Vertical angles)

h = 70° (Vertical angles)

Measure of angles d and h are are not equal. therefore they are not congruent.

7 0

2 years ago