The product of two consecutive odd integers is 399. What equation would be used to solve
this problem?

Hi there!  

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I believe your answer is:  

(5,0)

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

1.

[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]

[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]

Therefore,

[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]

2.

[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]

[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]

Use the identity

[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]

We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:

[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]

3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,

[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]

Solving for tan x:

[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]

Answer:-55+48i

Step-by-step explanation:

Answer:

Step-by-step explanation:

73

Answer:

slope (m) = 5

Step-by-step explanation:

rise/run, -10/-2 = 5

Answer:

x = 3 or x = 4.

Step-by-step explanation:

We are given the following inequality:

[tex](x - 2)(x - 5) < 0[/tex]

It is a product, and a product is negative when one term is positive and the other is negative.

First case:

[tex]x - 2 > 0 \rightarrow x > 2[/tex]

And

[tex]x - 5 < 0 \rightarrow x < 5[/tex]

Thus, in the natural set: x = 3 and x = 4.

Second case:

[tex]x - 2 < 0 \rightarrow x < 2[/tex]

And

[tex]x - 5 > 0 \rightarrow x > 5[/tex]

Empty set.

Union of the cases:

Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.

Answer:

x=14

y=40

Step-by-step explanation:

A parallelogram is like a rectangle 2 parallel sides are equal.

so x+3=17 and y-2=38

x+3=17

x=17-3

x=14

y-2=38

y=38+2

y=40

Answer:

Answer:

the only zero should be -1

Answer:

33 and 55

Step-by-step explanation:

[tex]\frac{x}{y}: \frac{3}{5}[/tex]

x + y = 88

3 + 5 = 8

[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]

[tex]x= \frac{3}{5}y[/tex]

[tex]y+\frac{3}{5}y=88[/tex]

[tex]\frac{8y}{5}=88[/tex]

[tex]5(\frac{8y}{5})=5(88)[/tex]

8y = 440

8y ÷ 8 = 440 ÷ 8

y = 55

x + y = 88

x + 55 = 88

x + 55 - 55 = 88 - 55

x = 33

equation: 39 - 12 = x

x = 27 (stamps)

9514 1404 393

Answer:

  regular octagon

Step-by-step explanation:

In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.

An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.

Octagons will not tessellate a plane.

Answer:

5

Step-by-step explanation:

We can write the equation 7y=3y+20, because the top and bottom lemgths are equivalent

Now isolate x:

7y=3y+20

7y-3y=3y+20-3y (subtract 3y, subtraction property of equality)

7y-3y=20

4y=20 (simplify)

4y/4=20/4 (divide by 4, division property if equality)

y=5

Answer:

Step-by-step explanation:

Well, I really don’t like graphic approaches in math, so hear ya go a formula:

Although there are easier ways that work for some quadratics, but this formula works for them all. (It is atached, have a look)

So,

( -(-2)+- square root of ((-2)^2-4(1)(-40)) ) / 2(1)

Note that for a hear I use one, since there is nothing in front of x.

( 2 + (12.8) ) / 2 < with plus

( 2 -(12.8) ) / 2 < with minus

X = 7.4

Or

X = -5.4

(Quad equations have 2 answers)

Answer:

75.3074525 dgrees

Step-by-step explanation:

law of sines

29/sin(115 degrees) = 13/sin(B)

==> B = 0.418374736 rad

or 75.3074525 dgrees

Answer:

4. 52 ft^2

5. 25 ft^2

Step-by-step explanation:

15 -11 To get the width of scrapbooking which is = 4

4 * 13 = 52 ft^2

9 - 4 = 5 ft

5 * 5 = 25ft

Answer:

two sides have the same length which is less than the length of third side

Step-by-step explanation:

The sum of the lengths of the two sides is equal to the length of the third side.

Option D is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

In a triangle,

The side opposite to the equal angle are equal.

Now,

We have two 45 angles.

This means,

The sides opposite to the 45 angles will be congruent.

And,

The other angle is 90 degrees.

Which is a right triangle

Thus,

The sum of the lengths of the two sides is equal to the length of the third side.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ7

Answer:

If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade

Step-by-step explanation:

If you simplify 4/6 it would be 2/3

Answer:

5.4 (rounded)

Step-by-step explanation:

the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.

Answer:

Double the bacteria, 2000, 4,000, 8,000, 16,000 so on.

Step-by-step explanation:

Hope this helps

Answer:

A= 21.65063509

Step-by-step explanation:

triangle area is =base*hight/2

Because we have a right triangle we can apply the trigonometric functions

sin30 =base/hypothenuse = base/10

cos 30 = hight/hypothenuse =hight/10

sin30 = base /10  ; multiply both sides by 10

base = 10*sin30

cos 30 = hight /10 ; multiply both sides by 10

hight = 10 cos 30

A= 10*sin30*10*cos30/2 =

      100*sin 30*cos 30/2=

            50*sin30*cos30 = ; use calculator make sure is set up in degrees

A= 21.65063509

Answer:

Its B since the decimals are lower than the data.

9514 1404 393

Answer:

  A.  $26,346

Step-by-step explanation:

The cost is the sum of all of the payments made:

  cost = down payment +24×monthly payment +deposit +acquisition fee +after-lease price

  cost = $1500 +24×279 +350 +700 +17100 = $26,346

The total price of the car if you buy it after leasing is $26,346.

Answer:

Table C is the answer

Step-by-step explanation:

Answer:

a positive number as 0 is a neutral.

Answer:

The format for any quadratic equation is;

ax² + bx + c

And the quadratic formula is written as;

[tex]\frac{-b+-\sqrt{b^2 -4ac} }{2a}[/tex]

Hope this helps!

Answer:

I don't understand pls explain

Answer:

32

Step-by-step explanation:

Answer:

1. ₹ 382.50

2. ₹ 14,583.33

3. 6%

Step-by-step explanation:

Interest  = p × r × t

p = principal amount

r = rate of interest

t = time in years

(1) Interest = 10,200 × 0.025 × 1.5

                 = ₹ 382.50

(2) Principal = [tex]\frac{I}{(r\times t)}[/tex]

                   = [tex]\frac{1750}{(0.04 \times 3)}[/tex]

                   = [tex]\frac{1750}{0.12}[/tex]

                  = ₹ 14,583.33

(3)  [tex]Rate=\frac{(I \times 100)}{(p \times t)}[/tex]

              [tex]=\frac{(1186.5 \times 100)}{(5650 \times 3.5)}[/tex]

              [tex]=\frac{118650}{19775}[/tex]

              = 6%