so sánh căn 3+ căn 2 và căn 2 + căn 6

Answer:

98º

Step-by-step explanation:

The sum of angles in a triangle is 180

---------------------

The missing angle in the triangle

180 - 45 - 53 = 82º

-------------------------

x is supplementary to 82º

x = 180 - 82

x = 98º

Answer:

120 minutes

Step-by-step explanation:

Jelisa walked 6 miles in 90 minutes

The amount of mile walked in 1 minutes is

= 6/90

= 0.0666666

If she walks 0.066666 miles in 1 minute then in for 8 miles she travels

= 8/0.066666

= 120 minutes

Answer:

BC = 24

Step-by-step explanation:

We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.

AC/EC = BC/DC

30/10 = (32-x)/x

3 = (32-x)/x

Then using algebraic properties, solve for x.

3x = 32 - x

4x = 32

x = 8.

Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24

Answer:

B

Step-by-step explanation:

Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is

[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values

[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )

32 - x = 3x ( add x to both sides )

32 = 4x ( divide both sides by 4 )

8 = x

Then

BC = 32 - x = 32 - 8 = 24 → B

Answer:

35

Step-by-step explanation:

Cause they both add up to a right angle which is 90 degrees. so 90-55=35

∠angle, a and ∠angle, b are complementary angles. ∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees. so we can conclude that ∠b = 35.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

∠angle, a and ∠angle, b are complementary angles.

∠ an ∠angle, a measures 5 5 ∘ 55 ∘ 55, degrees.

we want to measure ∠ b

We know that the sum of Complementary angles is equal to 90 degrees.

so to find the measure of angle B we subtract the given angle from 90

∠ b + ∠ a = 90

∠ b + 55 = 90

∠ b = 90-55

∠ b =35

so we can conclude that ∠b = 35.

Learn more about the triangles;

https://brainly.com/question/2773823

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Explanation:

Recall that tangent = opposite/adjacent.

For reference angle M, the side ON = 5 is the opposite side and MN = 12 is the adjacent side. We don't need the hypotenuse.

Answer:

C or 5/12

Step-by-step explanation:

Answer:

id say a

Step-by-step explanation:

The amount of interest his account should earn after 15 years is:

$7, 915.64.

Here, we have,

Compound interest is when you earn interest on both the money you've saved and the interest you earn.

Formula:

A = P(1 + {r}/{n})^{n.t}

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days

Let, A= x

Now, x =$4,500(1+7/100×365)^(365×15)

     x=$12415.64

i.e.  final amount = $12415.64

so,  the amount of interest his account should earn after 15 years is:

$12415.64 - 4500 = $7, 915.64

Hence, the amount of interest his account should earn after 15 years is: $7, 915.64

To learn more on Compound interest click:

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Answer:

5 feet

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Good luck <3

Answer:

200

Step-by-step explanation:

hope it helps

Answer:

CO

Step-by-step explanation:

Conditional: If p, then q.

Converse: If q, then p.

Conditional: If the measure of an angle is 90 degrees, then it is a right angle.

If p, then q.

p = the measure of an angle is 90 degrees

q = it is a right angle

Converse:

If q, then p.

If it is a right angle, then the measure of the angle is 90 degrees.

Answer: CO

Answer:

b

Step-by-step explanation:

Answer:

(a) 1.5 inches

(b) 2.5 inches

(c) 5 inches

Step-by-step explanation:

speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute

speed of the second turtle = 5inches per minute

distance = speed x time

(a) Distance traveled by first turtle in 3 minutes

s = 9/2 x 3 = 13.5 inches

distance traveled by second turtle in 3 minutes

s' = 5 x 3 = 15 inches

So, the gap is

s'- s = 15 - 13.5 = 1.5 inches

(b) Distance traveled by first turtle in 5 minutes

s = 9/2 x 5 = 22.5 inches

distance traveled by second turtle in 5 minutes

s' = 5 x 5 = 25 inches

So, the gap is

s'- s = 25 - 22.5 = 2.5 inches

(c) Distance traveled by first turtle in 10 minutes

s = 9/2 x 10 = 45 inches

distance traveled by second turtle in 10 minutes

s' = 5 x 10 = 50 inches

So, the gap is

s'- s = 50 - 45 = 5 inches

Answer:

0.8 cm = 8km

0.5cm = 5km

hope this helps

Answer:

1/x^4

Step-by-step explanation:

Answer:

c I am pretty sure of deep nuts u am playin it c

Step-by-step explanation:

hello it's B)

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Answer:

25/2

Step-by-step explanation:

Caio comprou uma lembrança para todos os amigos e gastou R $ 12,50.

Comparando e resolvendo as opções dadas a nós,

a) 125/2 = 62,5

A opção a está errada

b) 25/5 = 5

Opção b está errada

c) 125/5 = 25

A opção c está errada

d) 25/2 = 12,50

A opção d está correta

Portanto, a fração que pode representar este valor é 25/2

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=2x f - 1 ( x ) = 2 x is the inverse of f(x)=12x f ( x ) = 1 2 x .

Replace f(x)f(x) with yy.

y=12xy=12x

Interchange the variables.

x=12yx=12y

Solve for yy.

Rewrite the equation as 12y=x12y=x.

12y=x12y=x

Multiply both sides of the equation by 22.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Simplify 2⋅12⋅y2⋅12⋅y.

Cancel the common factor of 22.

Cancel the common factor.

2⋅12⋅y=2⋅x2⋅12⋅y=2⋅x

Rewrite the expression.

1⋅y=2⋅x1⋅y=2⋅x

Multiply yy by 11.

y=2⋅xy=2⋅x

Solve for yy and replace with f−1(x)f-1(x).

Replace the yy with f−1(x)f-1(x) to show the final answer.

f−1(x)=2xf-1(x)=2x

Set up the composite result function.

g(f(x))

Answer:

3.444444444444444

Step-by-step explanation:

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

Hire purchase price = 16400

Cash price = 13120

= 16400 - 13120

= 3280

Answer:

1/3

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Experimental probability is based on the result of an experiment that has been carried out multiples times

probability of landing on the orange section = proportion of the orange section / total proportions of all the colours

= 1/3

Given:

After expanding [tex]-3(5-x)[/tex] we get an equivalent expression [tex]-15+3x[/tex].

The given expression is [tex]-4(-a+2)[/tex].

To find:

The equivalent expression by using distributive property.

Solution:

According to the distributive property of multiplication over addition, if a, b, c are real values, then

[tex]a(b+c)=ab+ac[/tex]

We have,

[tex]-4(-a+2)[/tex]

Using distributive property of multiplication over addition, we get

[tex]-4(-a+2)=(-4)(-a)+(-4)(2)[/tex]

[tex]-4(-a+2)=4a+(-8)[/tex]

[tex]-4(-a+2)=4a-8[/tex]

Therefore, the expression [tex]4a-8[/tex] is equivalence to [tex]-4(-a+2)[/tex].

Answer:

[tex]for~x=3[/tex]

[tex]f(x)=-5[/tex]

[tex]So,f(3)=-5[/tex]

co.op

interest = principle * rate * time in years

8000*0.09*1= 720$

total owed =

principle + interest

8000+720= 8720$

bank

interest = principle * rate * time in years

interest = principle * rate * time in years8000*0.06*1= 480$

principle + interest

8000+480= 8480$

......

6)

Bank A

interest = 1500*2*0.18= 540$

total owed = 1500+540= 2040$

Bank B

compound interest =

1500(1+0.12)^2

compound interest= 1881.6

total owed = 1500+1881.6= 3381.6$

she should choose Bank A less total owed

she'll have to pay the bank 2040$

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [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]

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that [tex]\mu = 5, \sigma = 1[/tex]

This proportion is the p-value of Z when X = 6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{6 - 5}{1}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that [tex]p = 0.8413[/tex]

5 are chosen:

This means that [tex]n = 5[/tex]

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8413)^{5}.(0.1587)^{0} = 0.4215[/tex]

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8413)^{3}.(0.1587)^{2} = 0.15[/tex]

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

5x5

because 5^2 equals the area

Answer:

It should be -24

Step-by-step explanation:

I found it online, since I wasn't entirely sure, but remember that studying can be fun, and everyone have an amazing day :)