Use trigonometric ratios to solve the right triangle. Pls Help

Answer:

(2x-5)(3x+1)

Step-by-step explanation:

edge 2021

Answer with explanation:

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. = 14

Median or second quartile i.e. = 18

Third quartile or upper quartile i.e. =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. = 26

Median or second quartile i.e. = 30

Third quartile or upper quartile i.e. = 34

and maximum value = 38

a)

The overlap of the two sets of data is as follows.

   The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.

   And the maximum value of seventh grade is same as the lower quartile of eighth grade.

b)

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e.

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

c)

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

d)

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

Hence, the number is : 1.5

Answer:

ive seen this before

Step-by-step explanation:

A.

Each triangle has angles 42,48,90.

Answer:

-47(-35)(-73)

1645×-73

-120 085

ans: -120 085

Answer:

-47(-35)(-73)

1645×-73

-120 085

ans: -120 085

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

14=3x+2

Move all terms that don't contain  x to the right side and solve.

Answer:

[tex]200\pi[/tex] or 628.3185

Step-by-step explanation:

Area of a semicircle is equal to [tex]\frac{\pi r^{2}}{2}[/tex]. So, when the radius is 20, the area of the semicircle will be [tex]\frac{\pi (20)^{2} }{2} =\frac{400\pi }{2} =200\pi =628.3185[/tex].

Answer:

y = 8 root 2

Step-by-step explanation:

Since it is a 90-45-45 triangle, y is s root 2

s = 8

so, y = 8 root 2

Answer:

y=8√2

Step-by-step explanation:

Because 2 of the angles are the same, the triangle is isosceles (because of base angles theorem). Therefore, x=8. Using Pythagoras theorem, y=8√2.

Given:

[tex]h(1)=9[/tex]

[tex]h(n)=h(n-1)\cdot (-3)[/tex]

To find:

The explicit formula for h(n).

Solution:

We have,

[tex]h(n)=h(n-1)\cdot (-3)[/tex]         ...(i)

It is the recursive formula of a geometric sequence. It is of the form

[tex]a(n)=a(n-1)\cdot r[/tex]         ...(ii)

where r is the common ratio.

On comparing (i) and (ii), we get

[tex]r=-3[/tex]

We have, [tex]h(1)=9[/tex] so the first term of the geometric sequence is [tex]a=9[/tex].

The explicit formula for a geometric sequence is:

[tex]h(n)=ar^{n-1}[/tex]

Substitute a=9 and r=-3 to get the explicit formula for the given sequence.

[tex]h(n)=9(-3)^{n-1}[/tex]

Therefore, the required explicit formula is [tex]h(n)=9(-3)^{n-1}[/tex].

Answer:

angle equals 15.466 so Answer A, 15.47

Answer:

question not clear. Where is the table?

Answer:

Infinitely Many Solutions

Step-by-step explanation:

1.  Since both sides equal, there are infinitely many solutions.

Answer:

3.8 months

Step-by-step explanation:

Question: Anthony invested $36,000 in an account paying an interest rate of 5.3% compounded

quarterly. Assuming no deposits or withdrawals are made, how long would it take, to

the nearest year, for the value of the account to reach $51,800?

First step! What is 5.3% of 36k?

1,908

Second Step! Divide

51,800/1,908= 27.1488469602

Third Step! Round

27.1488469602= 27.1

27.1 weeks.

7 weeks in a month.

12 months in a year.

27.1/7= 3.8

3.8 months

The number of years for the amount of compound interest to reach $51,800 is given by b = 7 years

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the number years be represented as b

where the amount after b years is = $ 51,800

The initial principal amount P = $ 36,000

The number of times the compound interest is applied = quarterly = 4

Now , the equation is

A = P ( 1 + r/n )ⁿᵇ

On solving for the number of years b , we get

b = ln ( A / P ) / n [ ln ( 1 + r/n ) ]

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln ( 1 + 0.053/4 ) ] )

On further simplification , we get

b = ln ( 51,800.00 / 36,000.00 ) / ( 4 × [ ln (1 + 0.01325 ) ] )

b = 6.911 years

On rounding to the nearest year , we get

b = 7 years

Therefore , the value of b is 7 years

Hence , the number of years is 7 years

To learn more about compound interest click :

https://brainly.com/question/21270833

#SPJ2

Answer:

(20,280) and (10,300)

Step-by-step explanation:

It was the correct answer on the practice question

Answer:

Edmentum/Plato

Answer: 0.13

3 times 0.044 =0.13

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

3 times 3 is 9

Answer:

X=3

Step-by-step explanation:

Answer: All three methods would be easy and effective

Step-by-step explanation:  

Answer:

36. 1193 or 33.12 degrees rounded

Step-by-step explanation:

Tan = opp/adj

Tan C = 27/37

Tan inverse (.729 . . .) = C

= 36. 1193 or 33.12 degrees rounded

Answer:

11.1 feet

Step-by-step explanation:

person = B  cat = C

                                          C

                                      /    |

                   /                       |     x

B /_48]________ ______|

              |____10ft____|

since we know the adjacent side but want the opposite side, we can use tan(angle)=opp/adj to solve.  (make sure to be in degrees lol)

tangent ( 48) = x/10

10 * tan(48) = x

11.1 = x

The cat is 11.1 feet high.

Answer:

33.56

Step-by-step explanation:

Area is useless here. Just use cosine (x) = 30/36, or cosine (x) = 0.8333

What value of x makes this true? 33.56!

Answer:

Step-by-step explanation:

1 +1  =   2   g a y   n i g  g a s

Answer:

b + b + h + h and since you have two of each you can say 2b + 2h.

Answer:

It’s already solved for y

y = x - 4

Step-by-step explanation:

If it’s for x,    X = y + 4

Answer:

Step-by-step explanation: equivalent means equal to, so that means these expressions are equal :)

but there are a lot of creeps here" :(

Step-by-step explanation:

Answer:

OoP

Step-by-step explanation: