Which is the exponential form of logb 14 = 2? 2b = 14 b2 = 14 b14 = 2 142 = b

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]

Multiply through the second term by [tex]1+\sin(t)[/tex] :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]

Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]

If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.

[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]

and this simplifies to

[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]

Answer: D

Step-by-step explanation:

There are two pairs of congruent angles.

The two triangles FGH and  JKL are similar to each other by Angle-Angle property. Hence, option D is correct.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

In the given figure we can see that the two triangles FGH and  JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.

Hence, option D is correct.

To know more about similarities follow

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opposit side of parallelogram are equal and opposit angles are also equal

Answer:

135⁰

Step-by-step explanation:

As in cyclic quadrilateral sum if opposite angles is equal to 180⁰

Answer:

[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]

Step-by-step explanation:

Given:

focus(h,k)= (−2,7)

Focal Diameter (Latus rectum) = 24

To find:

Equation of parabola= ?

Solution:

Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.

Focal Diameter = 24

[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]

Now to find the equation of parabola we need the vertex(h,v).

Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.

Now,

[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]

Equation of parabola

[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]

Substituting the cordinate of vertex in above equation,

[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]

This is the final answer.

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Answer:

6c + 16a = T :)

Step-by-step explanation:

We only know how much the cost for the children is, 6, so we put a variable c after it :)

We only know how much the cost for the adults is, 16, so we put a variable a after it :)

I put T to show a varibale for the total :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

2/21 hours per task.

Step-by-step explanation:

2/3 / 7  hours per task

=  2/21.

Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

Answer:

-5+5k-8k-20

-3k-25

-(3k+25)

Answer:

Step-by-step explanation:

(-5 - -25k) - (8k + 20) =

-(18k - 15)

Answer:

6/7

Step-by-step explanation:

3x2/7 in the same as 3/1x2/7, which is 6/7

(simply multiply the denominator and numerator of the fraction)

Answer: hii <3

Exact Form:

6/7

Decimal Form:

0.857142

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew

Answer:

35 miles per hour.

223 minutes to reach destination.

Step-by-step explanation:

It's counting down by 35

35 miles per hour.

260/35=7.42857142857

7.42857142857*30=222.857142857

Rounding to nearest whole number

223

SonicIsCoool

On Scratch you tube, Inst and much more here to help :)

Answer:

look at analysis

Step-by-step explanation:

1. 152

2. 200

3. 10857

4. 123.4

5. 1848

Answer:

130

Step-by-step explanation:

Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.

It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130

130 total handshakes

Hope this helps ^^

Answer:

131 here is the answer and your welcome

Step-by-step explanation:

-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =

= -5x² - 40x - 80 + 8 = -5x² - 40x - 72

so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.

Answer:

  √61 ≈ 7.81

Step-by-step explanation:

It appears that the polygon can be enclosed by a rectangle that is 12 units wide and 10 units high. The enclosing circle is the one that will circumscribe that rectange. Its radius is half the length of the diagonal, so is ...

  (1/2)√(12² +10²) = 1/2√244 = √61

The smallest circle that will surround the polygon will have a radius of √61 ≈ 7.81 units.

_____

The Pythagorean theorem is used to find the length of the diagonal. It tells you the square of the diagonal is the sum of the squares of the sides of the rectangle. Our radius is half the diagonal, so is half the square root of the sum of the squares of the side lengths.

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]

Then add 180 degrees, then we have

[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]

Then the value of the cosine will be

[tex]\cos 160.52^o=-0.9428[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

-2√2/3

Step-by-step explanation:

edge 22

Answer:

9.4

Step-by-step explanation:

(rectangle) shape 1: perimeter of rctangle= 2(l b)

=7

(semicircle)shape 2:perimeter of semicirlce=½ñd+d(ñ=pie)

0.5×ñ×1.4+1.4=3.6

add them

7+3.6=10.6

i hope i was helpful

please consider as brainlest

Answer:

Step-by-step explanation:

The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.

Use Pythagorean to verify

Confirmed

Answer:

AB is tangent to the circle

Step-by-step explanation:

The tangent of a circle is always perpendicular (at a right angle) to the radius.  Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).

Pythagoras Theorem

  [tex]a^2+b^2=c^2[/tex]

where:

Given:

Substitute the given values into the formula:

[tex]\implies 12^2+16^2=20^2[/tex]

[tex]\implies 144+256=400[/tex]

[tex]\implies 400=400[/tex]

Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.

Answer:

36.

Step-by-step explanation:

100 - 40 = 60%  of heads.

60% = 0.60.

60 * 0.60 = 36.

Answer:

Step-by-step explanation:

Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!

Step-by-step explanation:

Answer: 36.2

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

substitute n = 1, 2 into the sum rule

1² + 2(1) = 1 + 2 = 3 , then

a₁ = 3

2² + 2(2) = 4 + 4 = 8 , then

a₁ + a₂ = 8

3 + a₂ = 8 ( subtract 3 from both sides )

a₂ = 5

then

common difference d = a₂ - a₁ = 5 - 3 = 2

First term is 3 and common difference = 2

Answer:

The solution to the set of linear equations is:

[tex](5,-4)[/tex]

Step-by-step explanation:

Hey there!

In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y

[tex]6-2x=-4x+16[/tex]

Now we simplify

[tex]2x=10[/tex] ---> [tex]x=5[/tex]

So now that we know that x is equal to 5, we can find the value of y

let's substitute it in one of the equations

[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]

So now we know that the point where the two equations intersect is:

[tex](5,-4)[/tex]

This is going to be our solution

The graph is in an attachment below

Answer:

sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil

Answer:

16-25y^2

Step-by-step explanation:

Hey there!

As you know, both 16 and 25 are perfect squares

All the other answers don't have both numbers as perfect sqaures

Answer:

17/4 is 4 ¼ as a mixed fraction

Step-by-step explanation:

hope this helps

Answer:

5 won 4 games last year . This is the best prediction based on the lime fit