There are 4 blocks in the bag. How many of the 4 blocks do you think are red (R)? The graph shows the results of the first 10 picks.​

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Answer:

Step-by-step explanation:1. Arithmetic: Add 3,500

The annual raise of 3,500 means add 3,500 to the previous year's salary

60,000 + 3,500 = 63,500

63,500 + 3,500 =  67,000

67,000 + 3,500 = 70,500

70,500 + 3,500 = 74,000

74,000 + 3,500 = 77,500

Geometric: Multiply by 1.05

The annual raise by 5% of his current salary means multiply by 1.05.

60,000 x 1.05 = 63,000

63,000 x 1.05 = 66,150

66,150 x 1.05 = 69,457.50

69,457.50 x 1.05 = 72,930.38 rounded

72,930.375 x 1.05 = 76,576.89

The first sequence is arithmetic because we add the same number (3,500) to the preceding term. The second sequence is geometric because we multiply the preceding term by the same number always (1.05.)

2a. Arithmetic - New salary is $3,500 greater each year than last year's salary

S = 60,000 + 3500(n-1)

Geometric - New salary is 5% more each year than last year's salary

60,000 + (1.05)^(n-1)

2b. Arithmetic Earnings over 3 years

60,000 + 63,500 + 67,000 = 190,500

Geometric Earnings over 3 years

60,000 + 63,000 + 66,150 = 189,150

There is a 1,000 dollar difference. In this case, the arithmetic increase of 3,500 dollars would be better for Mr. Nicholson. 1,000 dollars may or may not be considered a big difference. In my opinion, I'd say there is a slight difference between the two

3.Arithmetic

a(9) = 3,500 + a(9-1)

a(9) = 3,500 + 89,000

a(9) = 92,500

Geometric

a(9) = 1.05 x a(9-1)

a(9) = 1.05 x 84,425.90

a(9) = 88,647.20

4. In this case, both the 3 year and 9 year time frames favor the arithmetic increase of $3,500. At 3 years, he would have 190,500 compared to the geometric salary of 189,150. However, this is a small difference. If he is going to be at the company for 9 years, then definitely he should choose the first opportunity. 92,500 is significantly more money than 88,647.20. So, longer time frames only make the first opportunity, which is better to begin with, shine even more.

I'm always happy to help :)

Answer:

he is not a wealthy man

Step-by-step explanation:

because he got money

Answer:

Here OP bisect ∠BOC

∴∠POC=∠BOP …………(i)

and OQ bisect ∠AOC

∴∠AOQ=∠COQ …………….(ii)

and ∠AOB=180

o

[∵AOB is a straight line]

⇒∠BOP+∠DOC+∠COQ+∠AOQ=180

o

⇒∠POC+∠POC+∠COQ+∠COQ=180

o

[using (i) & (ii)]

⇒2∠POC+2∠COQ=480

o

⇒2(∠POC+∠COQ)=180

o

⇒2∠POQ=180

o

⇒∠POQ=90

o

.

Answer:

13.7

Step-by-step explanation:

The computation of the volume of toy A is shown below:

7 × k^2=9

k^2= 9 ÷ 7

k=√9 ÷ 7

k = 1.133893419

Now

= 20 ÷ 1.133893419³

=13.7

Answer:

1/3

Step-by-step explanation:

1 rise

3 run

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

Answer:

I can help you dude if any trouble (:

9514 1404 393

Answer:

Step-by-step explanation:

10 years ago, the sum of their ages was 65 -2·10 = 45.

If Karl was twice as old as Eddie, his contribution was 2/3 of the sum and Eddie's was 1/3. That is, Karl was (2/3)(45) = 30 and Eddie was 15 at that time.

Now, Karl is 40 and Eddie is 25.

__

This can be solved using a system of equations.

  e = 65 -k

  (k -10) = 2(e -10)

Substituting the first equation into the second gives ...

  k -10 = 2((65 -k) -10)

  k -10 = 110 -2k . . . . . . . simplify

  3k = 120 . . . . . . . . . . . . add 10+2k

  k = 40

  e = 65 -40 = 25

Answer:

1. D.

2.C.

Step-by-step explanation:

If I'm right pls mark brainleist

Answer:

20

Step-by-step explanation:

Answer:

20 sq.units

Step-by-step explanation:

Given,

Height of the parallelogram = 4 units

Base of the parallelogram= 5 units

Therefore, area of the parallelogram = base × height

= 4 units × 5 units

= 20 square units (Ans)

Answer:

B. 11c + 12d

Step-by-step explanation:

Given

9c + 12d + 2c

Combine the like terms

= 11c + 12d

Hope it will help :)

Part 1:

Calcium(Ca) And Strontium (Sr)

Part 2:

Protons: 19

Electrons: 19

(both are the same)

Neutrons:20

Subtract 19 From 39 And Get 20

If You Use This Pls Put it in your own words

Also Sorry if I'm late!

Answer:

4:5

Step-by-step explanation:

96:120

simplified:

divide both sides of colon by 24:

4:5

Answer:

Step-by-step explanation:

first we simplify the ratio

5:8

8/5=1.6

1:1.6 so for every 1 dollar she save she spends 1.6

next we do 1040/1.6=650

1040-650=390

390:650

i hope this helps and is the correct answer pls let me know

Answer:

b

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation:

Answer:

Answer is 6.

Step-by-step explanation:

What is the Greatest Common Factor of 36 and 42? Greatest common factor (GCF) of 36 and 42 is 6. We will now calculate the prime factors of 36 and 42, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36 and 42.

I hope it's helpful!

Answer:

markup 75%

Step-by-step explanation:

The difference in prices is $70-$40=$30.

So, we need to find what percentage of 40 is 30. We do this by dividing: 30/40=0.75, which is 75%. So, the markup is 75%.

Answer:

i think is A

Step-by-step explanation:

because need to check first

The new data set's range must be greater than the original data set's range. which is the correct answer would be an option (C).

The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.

Let m be the smallest value in the original data collection.

Given that the original data set's range = 84 -m

A new data set is made up of 26 positive integers and 96 from the existing data set.

As a result, the new data set's range is 96-m.

We can now determine the difference between two ranges by subtracting them :

⇒ (96 - m) - (84 - m)

⇒ 96 - m - 84 + m

⇒ 12

As a result, the new data set's range must be greater than the original data set's range.

Hence, the correct answer would be an option (C).

To learn more about the range of the data click here:

https://brainly.com/question/20607770

#SPJ2

Answer:

180 miles

Step-by-step explanation:

Distance = speed x time

45 x 4 =180miles

Answer:

the mechanical advantage increases as the height increases.

Step-by-step explanation:

Answer:

dont know sorry

Step-by-step explanation:

sorry :(

Answer: