What trig ratio would you use to solve for x?

O Cosine
O Tangent
O Sine

Answer:

.79 cents a pound is the lowest unit price for apples

Step-by-step explanation:

Answer:

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

so a2 = a3 = 39

a1=102, a2=39, a3=39

Step-by-step explanation:

a1=102

a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)

a2+a3=78

a2 and a3 must both be positive numbers that add up to 78

Given:

The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex].

To find:

The least common multiple of given expressions.

Solution:

The expressions are [tex](x+1),\ (x-1)[/tex] and [tex](x^2-1)[/tex]. The factor forms of these expressions are:

[tex](x+1)=1\times (x+1)[/tex]

[tex](x-1)=1\times (x-1)[/tex]

[tex](x^2-1)=(x-1)(x+1)[/tex]                 [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

The least common multiple is the product of all distinct factors with its highest degree. So,

[tex]L.C.M.=1\times (x+1)\times (x-1)[/tex]

[tex]L.C.M.=(x+1)(x-1)[/tex]

[tex]L.C.M.=x^2-1^2[/tex]                [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]L.C.M.=x^2-1[/tex]

Therefore, the least common multiple of given expressions is [tex]x^2-1[/tex].

Answer:

[tex]b = \frac{y-12x}{12}[/tex]

Step-by-step explanation:

subtract 12x from both sides, then divide by twelve.

Answer: 28

Step-by-step explanation: 5(4)-4(-2) which is 20+8 and that is 28.

Answer:

(f+g)(x) = 60x + 400

Step-by-step explanation:

Given :

Amount in account A:

f(x) = 20x + 100

Amount in account B :

g(x) = 40x + 300

Total amount in Account A and B:

f(x) + g(x) = (20x + 100) + (40x + 300)

(f+g)(x) = (20x + 40x) + (100 + 300)

(f+g)(x) = 60x + 400

Answer:

Step-by-step explanation:

Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,

2j + 32 + 6j - 2 + 30 = 180 and

8j + 60 = 180 and

8j = 120 so

j = 15

Answer:

55

Angle C is a inscribed angle of the of Arc Ba.

CA is the diameter so that means Arc BA equal 110 becuase

110+70=180.

Angle C is half of Arc BA so Angle C is

[tex]55[/tex]

Answer:

let's use Pythagoras theorem,

h²=b²+l²

so,

ad²=ac²+dc²

6²=ac²+3²

36-9=ac²=27

√27 can be written as 3√3,

hence ac= 3√3

Answer:

1. 3

2. 1

3. 2

4. 4

5. 5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Pythagorean rule

[tex]hyp = opp + adj \\ therefore. \\ opp = hyp - adj \\ and \\ adj = hyp - opp[/tex]

opp=13-10

opp=3

Answer: 1/8, 0.13, 1/2, 7/8

Step-by-step explanation: Mental Math

Step-by-step explanation:

0.13,1/2,1/8,and 7/8

hope it is helpful to you

Answer:

1st entry: 41

3rd entry: 17

Step-by-step explanation:

The 1st and 3rd entry are incorrect.

We will use the following for the 1st and 3rd:

[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]

[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]

where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.

Let's do part 1 now)

25+4+2(6)

29+12

41

Let's do part 3 now)

25+4-2(6)

29-12

17

Answer:

10010110

Step-by-step explanation:

A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:

10000000

Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:

10010000

We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:

10010100

What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:

10010110

Answer:

B ; A

Step-by-step explanation:

1) The first operation that we have to do is the division

2) we have to added up the the fishes

129° + x = 180°. [Linear pair]

=> x = 180° - 129°

=> x = 51°

Answer:

Step-by-step explanation:

Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is

J + M = 230. The second equation is

J + K = 130. The third equation is

M = 3K. Sub that 3K into the first equation and get

J + 3K = 230. Now take th second equation and solve it for J:

J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:

130 - K + 3K = 230 and

2K = 100 so

K = 50

Kevin has $50

Answer:

i. y = 4

ii. p = 45

iii. m = 5

Step-by-step explanation:

(a) In triangle PQR, PQ = QR. So that,

Perimeter = PQ + PR + QR

40 = (2y + 3) + (5y - 2) + (2y + 3)

    = 2y + 3 + 5y - 2 + 2y + 3

40 = 9y + 4

40 - 4 = 9y

36 = 9y

y = [tex]\frac{36}{9}[/tex]

y = 4

(b) The age of Rahim's father is p years. Since he is 29 years older than Rahim, we have;

p = 16 + 29

p = 45

Rahim's father is 45 years old.

(c) Cost of a chair = RM 5.90

Cost of m chairs = RM 5.90 x m

                           = RM 5.90m

Amount paid = RM 50 - RM 20.50

                      = RM 29.50

Thus,

RM 5.90m = RM 29.50

5.90m = 29.50

m = [tex]\frac{29.50}{5.90}[/tex]

   = 5

m = 5

The number of units of chairs bought is 5.

The segment that has equal length are known as congruent segment

Answer: corresponding segments

Step-by-step explanation:

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

Answer:

1 [tex]\frac{1}{3}[/tex] miles.

Step-by-step explanation:

2/4 + 5/6 = ?

We must convert these fractions to the same denominator so we can add fractions. Least common multiple of 4 and 6 is 12.

2/4 = 6/12

5/6 = 10/12

6/12 + 10/12 = 16/12

16/12 = 4/3

4/3 = 1 [tex]\frac{1}{3}[/tex]

Answer:

m anglw ABD answers is 50 degree

Answer:

(Altitude)^2+(Base)^2=(Hypotenuse)^2

Answer:

[tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option)

Step-by-step explanation:

The midpoint of a segment connecting two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] can be described by the following formula: [tex]\frac{x_1 + x_2}{2} = x_{mid}[/tex] and [tex]\frac{y_1 + y_2}{2} = y_{mid}[/tex]. As you can see, the formula essentially takes the average of the x- and y-coordinates to find the point in the middle.

With points (u, v) and (s, t), the midpoint becomes [tex](\frac{u+s}{2} , \frac{v+t}{2} )[/tex] (the first option).

Answer:

The two triangles are similar.

What is the value of x?

Enter your answer in the box.

x=

The value of x is 7 units.

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

Given :

AD = 6 units , BD = 8 units, m∠ABC = m∠DBE = 90° and              

∠DEB ≅ ∠ACB

Now, AB = AD + BD

              = 8 + 6 = 14 units

Now, In ΔABC and ΔDBE,

∠DBE = ∠ABC ( Each of 90° )

∠DEB = ∠ACB ( given )

So, By using AA postulate of similarity of triangles , ΔABC ~ ΔDBE

Now, proportion of the corresponding sides will be equal.

AD/ DB= BC/ BE

14/8 = 3x/ 2x-2

4x= 28

x= 7

Hence, the value of x is 7 units.

Learn more about similarity of Triangle here:

https://brainly.com/question/11923416

#SPJ6

Answer:

Answer is B.

Step-by-step explanation:

You can solve this by recognizing the vertex and the y-intercept of the quadratic equation based on the information provided.

The vertex occurs 6 seconds into the jump, when the cord is fully stretched to 72m, before it starts to contract again. This is when the jumper is closest to the ground, 122-72 = 50m above the ground. Notice the jumper never reaches the ground because the cord is only 72m long - it can't make it the full 122m - so there will not be an x-intercept (or t-intercept in this case). Anyway - the vertex is (6,50) using this information.

The y-intercept is the point at which t=0, the beginning of the jump. At the beginning of the jump, the jump is still on top of the cliff, 122m up. So the coordinates of the y-intercept are (0,122).

Now plug these values into the vertex form of the quadratic formula and solve for a:

[tex]f(t) = a(t-h)^2+k\\122=a(0-6)^2+50\\72 = 36a\\a=2[/tex]

This means our general equation (in vertex form) for this scenario is:

[tex]f(t)=2(t-6)^2+50[/tex]

Our answer options are in standard form, so just expand the vertex form of the equation to finish:

[tex]f(t)=2(t-6)^2+50\\f(t)=2(t^2-12t+36)+50\\f(t)=2t^2-24t+72+50\\f(t)=2t^2-24t+122[/tex]

Answer:

x = 14

Step-by-step explanation:

Triagle GIA and Triangle GNT are congruent.