All categories

2 years ago

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics

1 answer:

bija089 [108]2 years ago

6 0

Answer:

8.8

Step-by-step explanation:

Alright so since you know the length of the side opposite the 27 degree angle and you need to find the hypotenuse, you'll use sin (opposite/hypotenuse) . so you do sin 27= 4/x and then when you do these trigometric ratios something my geo teacher taught me is that if the variable is in the denominator then you have to do the length of the side you know /sin/cos/tan of whatever angle you know. so here you insert in your calculator 4/sin 27 (make sure ur calculator is in degree mode you can check this by doing sin 30 and seeing if it equals 1/2 and if it doesnt you need to search online on how you do degree mode) and you get 8.8108. which rounds to 8.8

You might be interested in

Footlocker buys sneakers for $60 each and marks up the price by 30% so they can make a profit. What is the selling price of the

pantera1 [17]

Answer:

now it would be $78

4 0

2 years ago

One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in pack

Masja [62]

Answer:

Two packs of buns and three hotdog packages

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the

Levart [38]

Answer:

Subtracting 7

Step-by-step explanation:

Given:

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.

To Find:

What kind of sequence is this?

Solve:

Let's make a table:

[1 stack] 45

[2 stack] 38

[3 stack] 31

[4 stack] 24

Now all we have to do is subtract to see what each is:

45 - 38 = 7

38 - 31 = 7

31 - 24 = 7

Thus,

[1 stack] 45 ⇒ 7

[2 stack] 38 ⇒ 7

[3 stack] 31 ⇒ 7

[4 stack] 24 ⇒ 7

Hence, each stack is going down by 7.

Kavinsky

7 0

1 year ago

Which pairs of angles in the figure below are verticle angles? Check all that apply.

vazorg [7]

Answer:

correct answer options are ; C and D

Step-by-step explanation:

By definition, vertical angles are those that are opposite each other when two lines cross and are equal.

Observing the given options;

C. ∠LRE and ∠FRA

D.∠TRF and ∠NRL

In the other options given, it could have been correct if stated as;

A. ∠ARS and ∠ERO

B. ∠NRA and ∠TRE

3 0

2 years ago