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3 years ago

8

What is the square root of 109

{ 109 } " alt=" \sqrt{ 109 } " align="absmiddle" class="latex-formula">

1 answer:

Alex777 [14]3 years ago

7 0

10.44031 that’s the square route

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Which is equivalent to (9y2 – 4x)(9y2 + 4x), and what type of special product is it?

QveST [7]

This is an example of the difference of squares.

$a^2 - b^2 = (a-b)(a+b)$

So to find the product of <span>(9y</span>²<span> – 4x)(9y</span>²<span> + 4x), we use the formula for the difference of squares.

</span> $(9y^2 - 4x)(9y^2 + 4x)\\\\=(9y^2)^2 -(4x)^2\\\\=\boxed{\bf{81y^4 - 16x^2}}$ <span>
</span>

7 0

4 years ago

The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb

Lubov Fominskaja [6]

we are given

$F(d)=0.77d^2-1.32d-9.31$

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

$F'(d)=0.77\times 2d-1.32\times 1-0$

$F'(d)=1.54d-1.32$

now, we can set it to 0

and then we can solve for d

$F'(d)=1.54d-1.32=0$

$1.54d-1.32=0$

so, we get diameter as

$d=\frac{6}{7}inch$ ..............Answer

6 0

3 years ago

Plot the intercepts to graph the equation. x+y=3

andrey2020 [161]

Answer: You will have points plotted at +3 on the y axis, and +3 on the x axis.

The attachment shows what your graph should look like.

Step-by-step explanation:

The intercept is where the graphed line crosses an axis.

To find the y-intercept, substitute 0 for x and solve for y:

0 + y = 3. Subtracting 0, you have y = 3

So you can plot a point at +3 on the y axis.

To find the x- intercept, substitute 0 for y, and solve for x

x + 0 = 3 Again, subtracting 0, x = 3

So plot a point on the x-axis at +3

Use the line tool to connect the two points.

5 0

3 years ago

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em> $\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$ <em></em>

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em> $\frac{b}{sin B} = \frac{c}{Sin C}$ <em></em>

<em></em> $\frac{11}{sin 35} = \frac{c}{Sin 62.8}$ <em></em>

$\frac{11 X sin (62.8)}{sin 35} = C$

<em>c = 17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c = 17.01</em>

4 0

3 years ago

The side length of one side of a triangle is 2x -2, the second side is 2x + 3. What is the length of the third side if the perim

Elena L [17]

Answer:

2x + 2

Step-by-step explanation:

2x -2 + 2x + 3 is equal to 4x + 1 to make it 6x + 3 you need to add 2x to the term 4x and you need to add 2 to the term 1 so

2x + 2

8 0

3 years ago

Read 2 more answers