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IRISSAK [1]
2 years ago
6

4. If the sides of a square measure 9V3 units, then find the length of the diagonal.

Mathematics
1 answer:
Nitella [24]2 years ago
7 0

Answer:

Step-by-step explanation:

To find the diagonal, use Pythagorean theorem,

diagonal² = side² + side²

                = (9√3)² + (9√3)²

                = 9²(√3)² + 9²(√3)²

                = 81*3 + 81*3

                = 243 + 243

                 = 486

diagonal = √486 = 22.05 units

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ASAP answer quickly please
VladimirAG [237]

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (<em>b</em> meaning black)     b : 3

                                  Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

<u>We need 9 black beads in total</u>.

Check answer

9 : 3     Both sides divisible by 3; reduce ratio

= 3 : 1        Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

4 0
3 years ago
Express 2x^2+8x+3 in the form 2(x+p)^2+q
e-lub [12.9K]

Answer:

2(x + 2)² - 5

Step-by-step explanation:

Given

2x² + 8x + 3

To obtain the required form use the method of completing the square.

The coefficient of the x² term must be 1, thus factor 2 out of 2x² + 8x

= 2(x² + 4x) + 3

add/subtract ( half the coefficient of the x- term)² to x² + 4x

= 2(x² + 2(2)x + 4 - 4) + 3

= 2(x + 2)² - 8 + 3

= 2(x + 2)² - 5

with p = 2 and q = - 5

4 0
3 years ago
La razon es la.división de dos números
morpeh [17]


Lo que se divide se llama dividendo, que se divide por el divisor, y el resultado se llama cociente. En el ejemplo, 20 es el dividendo, 5 es el divisor y 4 es el cociente.
4 0
2 years ago
jane can do a job in 3 hours, while gary can do the same job in 2 hours. if jane works alone for an hour before gary helps her h
Rudiy27

Answer: 2hrs?

Step-by-step explanation: 3-2=1+1 hour she took alone = 2hrs

8 0
2 years ago
Read 2 more answers
If f(x)=2x+7 and g(x)=11x-4, find (f+g)x.
klemol [59]

Answer:

(f+g)(x) = 13x + 3

Step-by-step explanation:

Rewrite  f(x)=2x+7 and g(x)=11x-4 in columns, as follows:

f(x)=2x+7

+g(x)=11x-4

----------------

Now add each column separately.

f(x)+g(x) = (f+g)(x) ("the sum of functions f and g")

2x + 11x = 13x, and, finally, 7-4 = 3.


Therefore,

 f(x)=2x+7

+g(x)=11x-4

----------------

(f+g)(x) = 13x + 3

7 0
3 years ago
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