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pashok25 [27]
3 years ago
15

Which expression can be written as

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0

Answer:

B. \sqrt{108}

Step-by-step explanation:

The simplified forms of these roots are :

A. \sqrt{63} = 3 \sqrt{7}

B. \sqrt{108} = 6 \sqrt{3}

C. \sqrt{144} = 3 \sqrt{286}

D. \sqrt{150} = 5 \sqrt{6}

Check:

\sqrt{108}

\sqrt{36(3)}

\sqrt{ {6}^{2}  \times 3}

6 \sqrt{3}

<h3>Hope it is helpful...</h3>
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What is the incenter?
Juli2301 [7.4K]

Answer:

C ( i think)

Step-by-step explanation:

3 0
3 years ago
Grayson is flying a kite, holding his hands a distance of 2.75 feet above the ground and letting all the kite’s string play out.
sergiy2304 [10]

The position of the kite with the point directly beneath the kite at the same

level with the hand and the hand for a right triangle.

  • The height of the kite above the is approximately <u>66.314 feet</u>.

Reasons:

The height of his hands above the ground, h = 2.75 feet

Angle of elevation of the string (above the horizontal), θ = 26°

Length of the string, <em>l</em> = 145 feet

Required:

The height of the kite above the ground.

Solution:

The height of the kite above the ground is given by trigonometric ratios as follows;

\displaystyle Height \ of \ kite, \, k_h = \mathbf{h + l \times sin(\theta)}

Therefore;

\displaystyle Height \ of \ kite, \, k_h = 2.75 + 145 \times sin(26^{\circ}) \approx \mathbf{66.314}

The height of the kite above the, k_h ≈ <u>66.314 feet</u>

Learn more about trigonometric ratios here:

brainly.com/question/9085166

8 0
3 years ago
a rectangle field has an anrea of 40cm^2. if one side of the field is 3m longer than the other side, find the new area of the fi
oksian1 [2.3K]

The area of the field where the length of each side is increased by 10% is 48.4 cm^{2}.

Step-by-step explanation:

The given is,

               A rectangle field has an area of 40 cm^{2}

               If one side of the field is 3 cm longer than the other side

               The length of new area in each side is increased by 10%

Step:1

          Let,

                          b - One side of rectangle

                          l - Other side of rectangle

          From given.

                         l -  b +3

           Formula for area of rectangle,

                   Area, a = lb      

                          40 = ( b+3) × b

                         40 = b^{2} + 3b

           Solving the above the equation,

                          b = 5 cm

                            l = 8 cm

Step:2

          If the area of rectangle increased by 10%,

                            l = 8 + ( 8 × \frac{10}{100} )

                              = 8.8

                           b = 5 + ( 5 × \frac{10}{100} )

                              = 5.5

         Area of rectangle is,

                      a = ( 8.8 × 5.5 )

                        = 48.4 square centimeters

Result:

        The area of the field where the length of each side is increased by 10% is 48.4 cm^{2}, if a rectangle field has an area of 40 square centimeters and one side of the field is 3 cm longer than the other side.

             

5 0
3 years ago
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
Kazeer [188]
Let's say that the weight of the orange is x and the weight of the pineapple is y.
The weight of the pineapple is 7 times that of the orange, so
y = 7x.
Also, y = x + 870.
Therefore, 7x = x + 870.
If we take away x from both sides, we get 6x = 870
If we divide both sides by 6, we get x = 145.
Therefore, the weight of the orange is 145 g.
Also, 145 + 870 = 1015.
So the weight of the pineapple is 1015 g.

To convert grams into kilograms, they must be divided by 1000.
Therefore, the weight of the orange in kilograms is 145/1000 = 0.145 kg
And the weight of the pineapple is 1015/1000 = 1.015 kg.

Answers:
a. 145g for the orange and 1015g for the pineapple.
b. 0.145kg for the orange and 1.015kg for the pineapple.
8 0
3 years ago
Read 2 more answers
When y= 55, x= 1/4. What is the value of y when x is 2.5?
Sergio [31]

Answer:

y = 550 when x = 2.5

Step-by-step explanation:

various ways to work this through: one simple way is to do cross method. arrange the numbers into fractions like this and then multiply the ones diagonal from each other

\frac{55}{0.25} =\frac{y}{2.5}

then multiply 55*2.5 together. multiply 0.25 and y together. Now you have this:

137.5 = 0.25y

solve for y and you get y = 550

6 0
3 years ago
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