Do the following lengths form a right triangle? ​

Answer:

B. 40 oz.

Step-by-step explanation:

[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:

x=3 and x=-2 is the root of given eq

Answer:

Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?

x = –2 or x = 3 is the answer

Step-by-step explanation:

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:

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:

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:

21.161

Step-by-step explanation:

use Pythagoras theorem ti find your slant height

then you use your formula which

[tex]1 \3\pi {r }^{2} h[/tex]

Answer:

Step-by-step explanation:

DEF is similar to CBA

because angle

angle C = angle D

angle B = angle E

angle A = angle F

The ratio is

10.8/5.4 = 9/4.5 = 6.4/3.2 = 2

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:

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.

Answer:

10.7

Step-by-step explanation:

17.445 - 6.76= 10.685

10.685 is 10.7 when rounded to the nearest tenth!

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:

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 :)

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:

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

Answer:

Odd function

Step-by-step explanation:

....

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:

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

Answer:

The probability of getting a letter which is not E is 13/15.

Step-by-step explanation:

DANIEL BERNOULLI

The total number of elements in sample space = 15

The probability of getting letter E is

= 2/15

The probability of getting a letter which is not E is

[tex]1 - \frac{2}{15}\\\\\frac{13}{15}[/tex]

Answer:

The correct option is (A).

Step-by-step explanation:

The given expression is :

[tex]\dfrac{14x^4y^6}{7x^8y^2}[/tex]

The numerator contains 14x⁴y⁶ and the denominator is 7x⁸y².

We can write it as :

[tex]\dfrac{14x^4y^6}{7x^8y^2}=\dfrac{7\times 2\times x^4\times y^2\times y^4}{7x^4\times x^4\times y^2}[/tex]

Canceling the common terms,

[tex]=\dfrac{2y^4}{x^4}[/tex]

So, the correct option is (A).

Answer:

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

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:

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

Answer:

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

Also

The order in which the food and drinks are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Beverages:

3 from a set of 15. So

[tex]B = C_{15,3} = \frac{15!}{3!12!} = 455[/tex]

Appetizers:

3 from a set of 10. So

[tex]A = C_{10,3} = \frac{10!}{3!7!} = 120[/tex]

Desserts:

3 from a set of 13. So

[tex]D = C_{13,3} = \frac{13!}{3!10!} = 286[/tex]

How many different ways can Luisa pick the food and drinks to serve at the bridal shower?

By the fundamental counting principle, as beverages, appetizers and desserts are independent:

[tex]T = B*A*D = 455*120*286 = 15,615,600[/tex]

Luisa can pick the food and drinks to serve at the bridal shower in 15,615,600 different ways.

Answer:

11%

I think im sorry if im wrong

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

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:

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.