!!!!!!!!!!!!!!!!!!!!!

Answer:

1) [tex]b=12[/tex]

2) [tex]tan(22.6\°)=\frac{a}{12}[/tex] (Third option)

Step-by-step explanation:

Remember that:

[tex]cos\alpha=\frac{adjacent}{hypotenuse}\\\\tan\alpha=\frac{opposite}{adjacent}[/tex]

1) Given that:

[tex]cos(22.6\°)=\frac{b}{13}[/tex]

You know that b is the adjacent side of the right triangle.

To solve for b you must multiply both sides of the expression by 13. Then, the value of b is:

[tex]13*cos(22.6\°)=\frac{b}{13}*13\\13*cos(22.6\°)=b\\b=12[/tex]

2) Then, you have that the equation correctly uses the value of b  ( adjacent side) to solve for a (opposite side) is:

[tex]tan(22.6\°)=\frac{a}{12}[/tex]

The value for b is 12 and  [tex]tan(22.6 ^{\circ \:} )=\frac{a}{12}\\[/tex].

RIGHT TRIANGLE

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  

For solving this question, you need to apply trigonometric ratios for the right triangle.

This question informs [tex]cos (22.6)=\frac{b}{13}[/tex]. Here, you should remember that cos of an angle is calculated by the ratio between the adjacent side from the angle and the hypotenuse of the right triangle. Therefore, [tex]cos=\frac{adj}{hyp}[/tex].

From a calculator, you find cos(22.6°)=0.92321. Thus,

                                       [tex]cos (22.6)=\frac{b}{13}\\ \\ 0.92321=\frac{b}{13}\\ \\ b= 0.92321*13\\ \\ b=12.002\\ \\ b=12[/tex]

The second part of question asks how to find the tangent value. The tangent can be calculated by formula presented below:

                               [tex]tan(\alpha )=\frac{opposite \;side\;angle}{adjacent\;side\;angle}[/tex]

For the angle 22.6°, you have:

Therefore,  [tex]tan(22.6 ^{\circ \:} )=\frac{a}{12}\\[/tex]

Learn more about the trigonometric ratios here:

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Answer:

Factoring is written as the product of simpler expressions/factors.

Step-by-step explanation:

Factoring (called "Factorising" in the UK) is the process of finding the factors.

Factoring is the method of finding what to multiply together to get an expression.

It is like "splitting" an expression into a multiplication of simpler expressions.

Example: factor [tex]2y+6[/tex]

Both [tex]2y[/tex] and 6 have a common factor of 2:

[tex]2y[/tex]  is 2 × y

6 is 2 × 3

So we can factor the whole expression into:

[tex]2y+6 = 2(y+3)[/tex]

So [tex]2y+6[/tex]  has been "factored into" 2 and y+3.

Answer:

Step-by-step explanation:

Is what you want equal to p/6? That's all that is written.

Answer:

[tex]\frac{p}{6}[/tex]

Step-by-step explanation:

An algebraic expression is any expression using variables, in this case, p.

Answer:

A

Step-by-step explanation:

A is correct. Subtract 8 from both sides and then divide both sides by 3.

The inequality 3x + 8 ≥ 11 is represented by a line having a close circle at

x = 1 and going towards infinity.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, an inequality of line which is 3x + 8 ≥ 11.

3x ≥ 11 - 8.

3x ≥ 3.

x ≥ 3/3.

x ≥ 1.

This will be represented on a line with a close circle at x = 1 and the line will go towards infinity.

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Answer:

the answer would be b)

Step-by-step explanation:

Answer:

B) four right angles

Step-by-step explanation:

The definition of a rhombus is that it is an equilateral quadrilateral.

This definition knocks out A.

C and D can also be knocked out because opposite angles are congruent, so they both must also be true.

Also, B is the requirement for a square, not a rhombus.

Answer:

Step-by-step explanation:

use the compass and find the midpoints of each side of the triangle. the use the ruler and find the radius and connect it to the vertex ISO - trigonometric diameter. Mark the angles as 90 deg corresponding to the rays formed by the radii. simple :)

Answer: PLATO ANSWER

Step-by-step explanation:

Step 1: Place the compass needle on vertex A, adjust the width of the compass to a medium setting, and draw one arc on line segment AB and one on line segment AC.

Step 2: Place the compass needle on the point where the arc intersects line segment AB and draw an arc inside the triangle. Without changing the compass setting, place the compass needle on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection P.

Step 3: Draw line segment AP. This is the angle bisector of angle A.

Step 4: Place the compass needle on vertex C, adjust its width to a medium setting, and draw arcs intersecting line segment BC and line segment AC.

Step 5: Place the compass needle on the point where the arc intersects line segment BC, and draw an arc inside the triangle. Without changing its setting, place the compass on the point where the arc intersects line segment AC; draw another arc intersecting the arc already inside the triangle. Label the point of intersection Q.

Step 6: Draw line segment CQ. This is the angle bisector of angle C.

Step 7: Label the intersection of the angle bisectors M. This is the center of the inscribed circle.

Step 8: Place the compass needle on M, and draw two arcs on line segment BC.

Step 9: Place the compass needle on one of the points where an arc intersects line segment BC, and draw an arc outside the triangle; repeat from the point where the other arc intersects line segment BC to create two intersecting arcs outside the triangle. Draw a line from M passing through the point of intersection outside the triangle. This is a perpendicular line from M to line segment BC. Mark the point where the line intersects line segment BC, and label it N.

Step 10: Place the compass needle on M, set its width to N, and draw a circle. This is the inscribed circle of triangle ABC.

Answer:

B

Step-by-step explanation:

okay so x^2+10x+29=0

subtract 29 from both sides giving you:

x^2+10=-29

next, used (b/2)^2 to create a trinomial square, which will be 5 so you will have:

x^2-10x+(-5)^2=-29+(-5)^2

Then, simplify the equation:

x^2-10x+25=-4

Next, factor into (x-5)^2 which is:

(x-5)^2= -4

Finally, solve for X:

x=5 +/- 2i

x2+10×+29=0

answer is A 5+2i

3x + 6y = 36

+ 3x - 6y =0

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

6x = 36

x = 36/6

x = 6

3(6) - 6y = 0

18 - 6y = 0

-6y = -18

y = 3

Answer:

Solution (6 ,3).

Step-by-step explanation:

Given : 3x + 6y = 36 and 3x - 6y = 0

To find : use the elimination method to solve the system of equations.

Solution : We have given

3x + 6y = 36 ------(1)

3x - 6y = 0------(2)

_______________       (On adding both equations)

6x + 0 = 36 .

On dividng both sides by 6

x = 6.

On plug x = 6 in equation 1

3 ( 6) + 6y  = 36.

18 + 6y = 36 .

On subtracting both sides by 18

6y = 36 -  18.

6y = 18

On dividing both sides by 6

y = 3

Solution (6 ,3)

Therefore, Solution (6 ,3).

Semiannually means twice a year, so you multiple $67,000 by 2.

The annual salary is $134000

Semiannual is a term that describes something that is paid twice each year, typically once every six months.

Since semiannually salary is $67,000 so the annual salary will be

$67,000 x 2 = $134000

Answer: [tex]\dfrac{2}{13}[/tex]

Step-by-step explanation:

Given : A bag contains 6 red balls, 4 green balls, and 3 blue balls.

Total balls = 6+4+3=13

Probability of drawing first ball as green :

[tex]P(G)=\dfrac{\text{Number of green balls}}{\text{Total balls}}\\\\=\dfrac{4}{13}[/tex]

If the first ball will be green, then the total balls left in bag = 13-1=12 and number of red balls remains the same.

Now, The conditional probability of drawing a red ball given that first ball was green :-

[tex]P(R|G)=\dfrac{\text{Number of red balls}}{\text{Total balls left}}\\\\=\dfrac{6}{12}=\dfrac{1}{2}[/tex]

Now,  the probability that the first ball will be green and the second will be red will be :-

[tex]P(G\cap R)=P(G|R)\times P(G)\\\\=\dfrac{4}{13}\times\dfrac{1}{2}=\dfrac{2}{13}[/tex]

Hence, the required probability = [tex]\dfrac{2}{13}[/tex]

First we need to find 60% of 20,000 sq ft.

so 20,000 x .60 = 12,000 sq ft.

since the parking space needs to be 12,000 sq ft, you'd have 8,000 sq ft. of the 20,000 left to construct the building.

Answer:

[tex]8,000ft^2[/tex]

Step-by-step explanation:

If 60% of the land area is destined to be a parking area, the other 40% of the total 100% remains for the construction.

So what we need is to find how much 40% of the  [tex]20,000ft^2[/tex]  is:

[tex]\frac{20,000}{100}*40=200*40=8,000[/tex]

or what is the same

[tex]20,000*0.4=8,000[/tex]

The space left to construct the building is [tex]8,000ft^2[/tex]

Answer:   32

Step-by-step explanation:

[tex]F(C)=\dfrac{9}{5}C+k\\\\-40=\dfrac{9}{5}(-40)+k\\\\-40=9(-8)+k\\\\-40=-72+k\\\\.\quad32=k[/tex]

Answer:

k = 32

Step-by-step explanation:

To get the value of k from expression:

[tex]F(C) = \frac{9}{5}C +k[/tex]

for F = -40 and C = -40, then:

[tex]-40 = \frac{9}{5}(-40)+k[/tex]

[tex]k =-40+\frac{9}{5}.40[/tex]

[tex]k = 72 - 40[/tex]

[tex]k = 32[/tex]

therefore, k should be 32 to get these answers.

Answer:

5.68 and -6.68

Step-by-step explanation:

Use the quadratic formula.

x = (-b+-sqrt(b^2-4ac))/2a

Now let's find the values of a b and c.

Use the standard form of the quadratic equation.

ax^2+bx+c = 0

Using this we can find the values of a b and c.

a = 1

b = 1

c = -30-8

c = -38

Now plug in the values.

We get,

(-1+-3sqrt(17))/2

Which rounded to the nearest hundredth is about,

5.68 and -6.68

Answer:

-6.18

Step-by-step explanation:

First we need to get this into an equation form that will allow us to factor it.

x^2+cx+c

Make one side of the equation equal to zero.

x^2+x-30=8  

-8      -8

x^2+x-38=0

We can't use the zero product property because it is impossible to multiply numbers to get -38 and the same numbers at to 1. Therefore, let's use the quadratic formula. y=-b√b^2-4(a)(c) /2a

Then, identify your a, b and c. A=your squared number, B= your number neing multiplied by a varable (1x or x), and C is your whole number.

a=1

b=1

c=-38

y=-1√1^2-4(1)(-38) /2(1)

Simplify

y=-1√1+152 /2

y=-1√153 /2

y=-3√17/2

Decimal form: −6.18465843

About -6.18 is your answer.

Hope I helped!

40x-72 because 8×5x is 40x and 8×9 is 72

Answer:

B

Step-by-step explanation:

When x=0,

Y=1/2(0)+1

Y=1

Look for the line with the point (0,1)

Answer:  [tex]\bold{\dfrac{4\pm \sqrt{6}}{2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{3}{y-2}-2=\dfrac{1}{y-1}\\\\\\\text{Multiply by the LCD (y-2)(y-1) to clear the denominator:}\\\\\dfrac{3}{y-2}(y-2)(y-1)-2(y-2)(y-1)=\dfrac{1}{y-1}(y-2)(y-1)\\\\\\3(y-1)-2(y-2)(y-1)=1(y-2)\\\\3y-3-2(y^2-3y+2)=y-2\\\\3y-3-2y^2+6y-4=y-2\\\\-2y^2+9y-7=y-2\\\\0=2y^2-8y+5\quad \rightarrow \quad a=2,\ b=-8,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(2)(5)}}{2(2)}\\\\\\.\ =\dfrac{8\pm \sqrt{64-40}}{2(2)}[/tex]

[tex].\ =\dfrac{8\pm \sqrt{24}}{2(2)}\\\\\\.\ =\dfrac{8\pm 2\sqrt{6}}{2(2)}\\\\\\.\ =\dfrac{4\pm \sqrt{6}}{2}[/tex]

Concept is trigonometry. The tangent of 30° is √3.

To find the tangent of 30°, we can use a special right triangle. One type of special right triangle is a 30-60-90 triangle. In this triangle, the ratio of the lengths of the sides opposite the angles are 1:√3:2.

Since we want to find the tangent of 30°, which is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle, we can set up the equation:

tan 30° = opposite/adjacent = (√3)/1 = √3

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Answer:

8

Step-by-step explanation:

what I did was that first I multiplied 5 and 3.

So that will give you 15.

Then I divided 120 and 15.

Leading to the answer 8.

8.25 rounded off to the nearest whole number is 8, because the digit after the decimal point (2) is less than 5, which implies that we do not increase the whole number part.

To round off 8.25 to the nearest whole number, we look at the digit to the right of the decimal point, which is 2. Since this digit is less than 5, we keep the digit before the decimal point as it is. Therefore, 8.25 rounded off to the nearest whole number is 8.

When rounding numbers, such as rounding off 0.028675 to 0.0287 or 92.85 to 92.8, a key rule to remember is that if the dropped digit is greater than or equal to 5, you round up; if less, you round down. Applying this principle, we see that because 2 is less than 5, 8.25 rounds down, leaving us with 8 as the rounded result.

8,9,10

That is the answer

8,9,10 would be the answer

because 16-8 is 8 and that is equal to the inequality <8

because 16-9 is 7 which is less than 8

because 16-10 which is 6 and is smaller than 8

Answer:

lay the net out with numbers then add all of them

Step-by-step explanation:

Answer:

Lay the net out with the dimensions then multiply for each shape and add all of the areas to get the total surface area of your prism.

Step-by-step explanation:

I just got it correct on my online class.

The quadrilaterals that have consecutive angles equal to each other are Square and a Rectangle, the correct option is A and C.

Quadrilateral is a polygon with four sides.

The quadrilaterals with consecutive angles always congruent are:

Square : The square has all angles of equal measure of 90 degrees.

Rectangle: A rectangle also has all angles equal to 90 degree.

To know more about Quadrilateral

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Answer:

0.35 cents

Step-by-step explanation:

8 pints in 1 gallon. 8 x .65/pint = 5.20.

5.20 (8-pints) - 4.85 (gallon jug) = .35

Answer:

Step-by-step explanation:

3350 to the nearest ten is 3350

1/3 has the greatest value

1/3 has the greatest value. Hope this helps!

The correct answer is (D).

Answer:

y=2

Step-by-step explanation:

2(3y -6)=0

multiply 2 times 3y-6

6y-12=0

add 12 to both sides

6y=12

devide by 2

y=6

Answer:

There are many solution for this problem

The solutions are -2, -3, -4..... And even fractions like -11/7, -12/7, etc.

Hope this helps!

For this case we indicate the solution of the following e-inequality:

[tex]-7x> 10[/tex]

We divide between "-7" on both sides of the inequality, keeping in mind that when doing this operation the sign will change, since we operate with a negative sign.

So:

[tex]\frac {-7x} {- 7}> \frac {10} {- 7}\\x <- \frac {10} {7}[/tex]

Thus, the domain of the variable "x" is given by all the numbers smaller than -[tex]-\frac {10} {7}[/tex]

ANswer:

[tex]x <- \frac {10} {7}[/tex]

The expression 7(3sqrt(2x)) - 3(3sqrt(16x)) - 3(3sqrt(8x)) simplifies to 3sqrt(2x) - 36sqrt(x) by first simplifying the square roots where possible, then distributing the coefficients, and finally combining like terms.

The expression given is 7(3sqrt(2x)) - 3(3sqrt(16x)) - 3(3sqrt(8x)). To simplify it, let's perform each operation step by step keeping in mind the properties of square roots and distributive property of multiplication.

Firstly, simplify inside the square roots where possible. sqrt(16x) = 4sqrt(x) and sqrt(8x) = 2sqrt(2)*sqrt(x) = 2*sqrt(2x). Now substitute these back into the equation:

7(3sqrt(2x)) - 3(3*4sqrt(x)) - 3(3*2sqrt(2x))

Now distribute the coefficients:

21sqrt(2x) - 36sqrt(x) - 18sqrt(2x)

Next, combine like terms.

21sqrt(2x) - 18sqrt(2x) - 36sqrt(x)

This results in:

3sqrt(2x) - 36sqrt(x)

Therefore, the simplified form of the expression is 3sqrt(2x) - 36sqrt(x).

Answer:

y = (3 × 10^8 m/s)/x

Step-by-step explanation:

Speed of a wave is given by the product of wavelength and frequency.

Thus; speed = frequency × wavelength

If  x = wavelength and y = frequency then speed will be;

speed = yx

Thus to get wavelength, y;

y = speed/x , but speed is 3 × 10^8 m/s

Thus;

y = (3 × 10^8 m/s)/x

Answer:

The Answer is D y= x/3x10squareroot8 m/s

Because its right on edg