Find the value of a in this diagram

Answer:

Since both have equal length

9x - 2 = 6x + 13

9x - 6x = 13 + 2

3x = 15

x = 15/3

x = 5

Length of BC = 6(5) + 13 = 43 cm

Step-by-step explanation:

Solution,

AB=9x-2

BC=6x+13

Now,

AC=AB+BC

=9x-2+6x+13

=15x+11

Answer:

[tex]{ \sf{ {(2x - 3)}^{4} }} \\ = { \sf{ {(2x - 3)}^{2} . {(2x - 3)}^{2} }} \\ = { \sf{(4 {x}^{2} - 12x + 9)(4 {x}^{2} - 12x + 9) }} \\ = { \sf{ {16x}^{4} - 48 {x}^{3} + 36 {x}^{2} - 48 {x}^{3} + 144 {x}^{2} - 108x + 48 {x}^{2} - 108x + 81 }} \\ { \sf{ = {16x}^{4} - 96 {x}^{3} + 228 {x}^{2} - 216x + 81 }}[/tex]

Answer:

Step-by-step explanation:

[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]

                                         [tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]

                                         = Sin x * Tan x

Hence proved

1 dozen = 12

3 dozen = 3 x 12 = 36

36/8 = 4.5

They need 4.5 times the amount:

4.5 x 1.5 teaspoons = 6.75 teaspoons ( 6 3/4)

Step-by-step explanation:

First;

x to third power=x³

y to 4th power=y⁴

According to condition:

expression=x³ × y⁴

=x³y⁴

Answer:

Business, management, marketing and technology.

Engineering, manufacturing and industrial technology.

i am not sure but i hope it will help you.

please mark me as brainlest.

We know

[tex]\\ \sf\longmapsto tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \sf\longmapsto tan(<R)=\dfrac{PQ}{PR}[/tex]

The expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

The triangle PQR is given,

∠R=90°

As we know that the tangent is the ratio of the perpendicular and base.

Geometry is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

When P is right-angled and R is theta, PQ is perpendicular, and PR is the base if P is right-angled.

tanθ=P/B

tanR=PQ / PR.

Thus, the expressions are equivalent to tan R = PQ / PR. Where PQ is perpendicular, and PR is the base.

Learn more about the right-angle triangle here:

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#SPJ2

There are 60 students that prefer soccer

The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%

6% of the students surveyed prefer soccer

The second step is to determine the number of students that prefer soccer

Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed

[tex]\frac{6}{100}[/tex] × 1000 = 60 students

A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults

Answer:

A) Commutative

Step-by-step explanation:

The Associative has to do with re-grouping numbers. There are only two numbers so this does not apply here. Commutative is where you change the order; that's what the equation is demonstrating.

Answer:

The Commutative Property.

Step-by-step explanation:

The commutative property says that when multiplying, you can change the order without changing the answer.

Answer:

well the circumference is the area of the circle so if you know the diameter then you divide that number by 2

Answer:28

Step-by-step explanation:

Answer:

p(14,9)

Step-by-step explanation:

steps are in picture.

Note: if you have any question about it you can ask.

Answer:

Step-by-step explanation:

10) First find the capacity of the swimming pool.

Volume of the swimming pool= length * depth  *width

                                                 = 15 * 1.5 * 5

                                                  = 112.5 cubic meter

1 cubic meter= 1000 liters

112.5 cubic m = 112.5* 1000 = 112,500 liters

Quantity of salt added to every 10 000 liters = 2 Kg

Quantity of salt added to  112,500 liters =  [tex]\dfrac{2}{10000}*112500[/tex]

       = 22.5 Kg

Answer:

132 square feet

Step-by-step explanation:

Answer: The profit percent is 20%

Step-by-step explanation:

CP = Rs 10,000

SP = Rs 12,000

so

Profit% = (12,000-10,000)/10,000 * 100%

          = 2,000/10,000 * 100%

          = 1/5 * 100%

          = 20%

Answer:

2000 gain

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Both arguments are squared so the equation are in the form of a circle.

A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.

The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.

[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]

Let plug in what we know

[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]

[tex]9 + 16 = {5}^{2} [/tex]

So 3,-4 is on the locus of the circle.

Answer:

3,594

Step-by-step explanation:

It is asking *than* which means subtraction. so simply subtract and you get the answer

not hard!

Answer:

The choose 3.

[tex]f(x) = 0.5(0.2^{x} )[/tex]

f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1

f(2)=0.5(0.2²)=0.5×0.04=0.020

I hope I helped you^_^

Answer:

ASA theorum

Step-by-step explanation:

we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle

Answer and Step-by-step explanation:

15.  [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]

-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex]  (Mixed number)

Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).

-1.35 x 100 = -135

[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]

(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)

18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]

4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]

4.4545.....

Multiply the number by 100 (because there is 2 numbers being repeated.

445.4545....

Now subtract by the original number.

445.4545....

-   4.4545....

441.00

Write this as an equation:

(100 x fraction) - fraction = 441           (100 x fraction) - fraction = 99 x fraction

99 x fraction = 441   (Divide both sides by 99)

fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

If Anna's dad is 36 and is 9 times her age, then Anna's age is 36/9 which is 4.

Check yourself: Anna is 4. Her dad is 9 times her age and 4(9) = 36.

Let's assume that the original length of the piece of board is L.

Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:

L - 3.4ft - 3.4ft = L - 6.8ft long.

Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:

( L - 6.8ft) = 2.35×3.4ft

solving that for L we get:

L  = 14.79ft

Rounding to the nearest tenth, we get:

L = 14.8ft

You should buy a piece of board that is 14.8 feet long.

If you want to learn more, you can read:

https://brainly.com/question/22293035

Answer:

[tex] \sqrt{5hk} \times \sqrt{10 {h}^{4}k } \\ = \sqrt{5hk10 {h}^{4} k} \\ \sqrt{50 {h}^{5} {k}^{2} } \\ thank \: you[/tex]

150h^5k^2

hers the answer

Answer:

j - 21 = 58

Step-by-step explanation:

happy to help if you have any others i can help you

Answer:

j - 21 = 58

Step-by-step explanation:

Hi ;-)

[tex](r+2)(r-3)=0\\\\r+2=0 \ \vee \ r-3=0\\\\\boxed{r=-2} \ \vee \ \boxed{r=3}[/tex]

Answer:

r = -2 , 3

Step-by-step explanation:

(r + 2)(r -3) = 0

r + 2 = 0                                      ;  r - 3 = 0

Subtract 2 from both sides       ;  add 3 to both sides

    r = -2                                      ; r = 3

r = -2 , 3

[tex] \implies \sqrt{ \dfrac{36}{169} } [/tex]

[tex] \implies \sqrt{ \dfrac{6 \times 6}{13 \times 13} } [/tex]

[tex] \implies \sqrt{ \dfrac{ {6}^{2} }{ {13}^{2} } } [/tex]

[tex] \implies \sqrt{ \left(\dfrac{ {6} }{ {13} } \right)^{2} } [/tex]

[tex] \implies {\left(\dfrac{ {6} }{ {13} } \right)^{2 \times }}^{ \frac{1}{2} } [/tex]

[tex] \implies \left(\dfrac{ {6} }{ {13} } \right)[/tex]

This is your answer.

The answer is 6/13 sq rt of 36 is 6 and sq rt of 169 is 13.

Answer:

Step-by-step explanation:

Area of the rectangle = length * width

            = (9x - 2)(2x + 5)

            Use FOIL method

            = 9x*(2x) + (9x)*(5) + (-2)*(2x) + (-2)*5

            = 18x² + 45x - 4x - 10          {Combine like terms}

           = 18x² + 41x - 10

Answer:

[tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex]

Step-by-step explanation:

Both [tex]\frac{12}{22}[/tex] and [tex]\frac{6}{11}[/tex] are equal to 0.54 as a repeating decimal

Answer:

girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.

Step-by-step explanation: