(0.020(5/4) + 3 ((1/5) – (1/4)))

[tex]\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}[/tex]

We know that : (a - b)(a + b) = a² - b²

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}[/tex]

We know that : 1 - sin²x = cos²x

[tex]\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}[/tex]

[tex]\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}[/tex]

[tex]\implies \sf{3tanx + 7 = 2sec^2x}[/tex]

We know that : sec²x = 1 + tan²x

[tex]\implies \sf{3tanx + 7 =2(1 + tan^2x)}[/tex]

[tex]\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 3 tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tan^2x - 5tanx + 2tanx - 5 = 0}[/tex]

[tex]\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}[/tex]

[tex]\implies \sf{(tanx + 1)(2tanx - 5) = 0}[/tex]

[tex]\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }[/tex]

Answer:

y = -3/8x -41/8

Step-by-step explanation:

Perpendicular lines intersect at 90° and their slopes are opposite reciprocals.

Therefore the slope changes from 8/3 to -3/8.

Now we must solve for the new y-intercept (b) by plugging in the given coordinate (-3,-4).

The result is b = -41/8 so our new equation is:

y = -3/8x -41/8

Answer: [tex]98.26[/tex]

Step-by-step explanation:

Given

Current population of tulips is 20

Each year it grows 70%

Field can sustain 300 tulips

After 1 year population becomes

[tex]\Rightarrow 20(1+70\%)\\\Rightarrow 20(1.7)\\\Rightarrow 34[/tex]

after 2 years it is

[tex]\Rightarrow 34(1+0.7)\\\Rightarrow 34\times 1.7\\\Rightarrow 57.8[/tex]

After 3 years

[tex]\Rightarrow 57.8(1+0.7)\\\Rightarrow 98.26[/tex]

after n years, the tulips becomes

[tex]\Rightarrow 20(1.7)^n[/tex]

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

Answer:

Average rate of change = 33,333.33acre per year

Step-by-step explanation:

Given:

Farm land in 2003 = 520,000 acre

Farm land in 2012 = 820,000 acre

Find:

Average rate of change

Computation;

Number of year = 2012 - 2003

Number of year = 9 year

Average rate of change = [Farm land in 2012 - Farm land in 2003] / Number of year

Average rate of change = [820,000 - 520,000] / 9

Average rate of change = [300,000] / 9

Average rate of change = 33,333.33acre per year

Step-by-step explanation:

Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.

Answer:

66

Step-by-step explanation:

x / 6 + 4 = 15

To find x ;

Subtrac4 from both sides

x / 6 + 4 - 4 = 15 - 4

x / 6 = 11

Multiply both sides by 6

x / 6 * 6 = 11 * 6

x = 66

Value of x = 66

Answer:

45.1 km^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

formula of area of the triangle mean 1/2 of bh

so the answer is 45.1

Step-by-step explanation:

[tex]base \: = 11km \\ height = 8.5km \\ area = let(x) \\ so \\ x = \frac{1}{2}bh \\ \: = \frac{1}{2} \times 11 \times 8.5 \\ \ = {1}{2} \times 90.2km \\ = 40.5km[/tex]

thank me later!!

Answer:

50

Step-by-step explanation:

From the circle graph :

Salad sold :

Caesar = 70%

Garden = 16%

Taco = 14%

If 35 of the salad sold were Caesar ;

Then ; this means

70% = 35

Total salad sold %= (70+16+14)% = 100%

Let total sales = x

70% = 35

100% = x

Cross multiply :

70% * x = 100% * 35

0.7x = 35

x = 35 / 0.7

x = 50

Answer:

D is not correct

Step-by-step explanation:

"If you add zero to a number, the answer will be that same number" is incorrect

Answer: Option

2 (or B)

Step-by-step explanation:

You can't divide by 0.

Answer:

x = 3

Step-by-step explanation:

Remark

Find the hypotenuse of the triangle. That is also the length of the rectangle.

Then use Pythagoras to find x.

Givens and solution

two sides of the triangle both = to 6

Find the base of the triangle which is also the length of the rectangle. Call the base = y

6^2 + 6^2 = y^2

36 + 36 = y^2

y^2 = 72

sqrt(y^2) = sqrt(72)

y = 8.4853

Transfer x to the opposite side of the rectangle.

x^2 = diagonal^2 - y^2

x^2 = 9^2 - y^2

x^2 = 81 - 72

x^2 = 9

sqrt(x^2)= sqrt(9)

x = 3

Answer:

B. Sum of interior angles; converse of opposite angles theorem

Step-by-step explanation:

In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".

As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.

Reason for the statement in number 6 is definitely "converse of opposite angles theorem."

Answer:

[tex]{ \tt{ \frac{1}{3} = \frac{t}{6} }} \\ \\ { \tt{t = \frac{6}{3} }} \\ \\ { \bf{t = 2}} \\ { \tt{2 \: could \: replace \: t}}[/tex]

Answer:

Step-by-step explanation:

la probabilidad es del 60%

Answer:

33 1/3% or 1/3

Step-by-step explanation:

Possible outcomes = 6

Favourable outcomes = 2

2/6 = 1/3 = 33 1/3%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

Answer:

The correct answer is A, If I practice football, then I will improve.

Answer:

Step-by-step explanation:

13. Find the total number of coinsss

8+4+3+1

=16

First pick:

1/16

Second pick:

1/15

So I guess your chances are 1/16+1/15 ?

=31/240

hopefully

14.

add the sockss

3+4+3

= 10

First pick

1/10

Second Pick

1/9

Add them:

19/90

Forgive me if this is wrong

:,)

Answer:

e. Approximately normal with mean of $406,274 and standard deviation $3534

Step-by-step explanation:

Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .

Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .

And,

Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]

⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534

Answer:

When you boil water heat transfer takes place and the heat gets transferred to the water from the stove ( could be considered conduction or radiation), and when the heat is transferred to the water the cold water sinks whereas the hot water rises this rapid movement of convection is called convection currents.

Hope I helped :)

Answer:

-5 is the answer

Step-by-step explanation:

Answer:

-5 corresponds to the coldest temperature here.

Step-by-step explanation:

-5 is to the left of -1 on a number line and is therefore smaller than -1.

Answer:

The surface area of the cylinder is about 954.56 square inches.

Step-by-step explanation:

The total surface area of a cylinder is given by the formula:

[tex]SA=2\pi r^2 + 2\pi rh[/tex]

Here, we are given that the radius is 8 inches and that the height is 11 inches. We are also using 3.14 for π. So, substitute:

[tex]SA\approx 2(3.14)(8)^2+2(3.14)(8)(11)[/tex]

Use a calculator:

[tex]SA\approx 954.56\text{ in}^2[/tex]

The surface area of the cylinder is about 954.56 square inches.

Answer:

j = 9.65

Step-by-step explanation:

[tex]\frac{8}{cos(34)}[/tex] = j

j = 9.649743588... (round as needed)

Answer:

A) angle ACD

B) angle CBA

C) angle ACB

D) angle EBD and angle DBA

E) MDB and CDA

F)DBA

Step-by-step explanation:

Insta: lankey.t

Step-by-step explanation:

hey :) if you need help download algebrator. I use it ALL the time pls download it and try it out. it'll give you explanations

Answer:

a) x = 7/2

b) x = 4/3

c) x = 1/2

d) x = 13/7

Step-by-step explanation:

(this is the same process for every one of them. I did C for you)

Let's solve your equation step-by-step.

6x=3

Step 1: Divide both sides by 6.

6x/6 = 3/6

x=1/2

Answer:

20 balls to each team

Step-by-step explanation:

If 5 boxes contains 2 dozens

And 2 dozens= 24

Multiply boxes by dozens of balls

5×24=120

Then to share, you divide it buy the number of teams

120÷6= 20 balls

Answer:

400^2 = 160 000

Step-by-step explanation:

The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.

Step-by-step explanation:

x = 180-106 = 74°

y = x/2 = 74/2 = 37°

4z+6 =106

4z = 100

z = 25°