Pls help, will mark brainliest

The answer is C aka answer 3

Answer: 10 m/s

Step-by-step explanation:

Given

Momentum of boy [tex]P=200\ kg.m/s[/tex]

Mass of boy is [tex]m=20\ kg[/tex]

Momentum is the product of mass and velocity

[tex]P=mv[/tex]

Substitute value

[tex]\Rightarrow 200=20\times v\\\Rightarrow v=10\ m/s[/tex]

Thus, the boy is moving with a velocity of 10 m/s

Answer:

15 cm

Step-by-step explanation:

Since the square's side length is 8 cm, and one of its sides is the short leg of the triangle, the short leg of the triangle is 8 cm

Using the pythagorean theorem, solve for b (the missing side length x)

a² + b² = c²

8² + b² = 17²

64 + b² = 289

b² = 225

b = 15

So, the missing side length is 15 cm

Answer:

9.304

Step-by-step explanation:

company wishes to estimate the mean monthly electric bill. If the standard

deviation is $400, how large a sample is required to estimate the mean electric bill to within $100

with 98% confidence?

Sample size, n = (Zcritical * σ) ÷ ME

σ = standard deviation ;

ME ≥ margin of error

α = 98% ; At 98% confidence level ;Zcritical = 2.326

n ≥ (2.326 * 400) / 100

n ≥ 930.4 / 100

n ≥ 9.304

n = 10

Answer:

converge

Step-by-step explanation:

The ratio that you multiply by to get the next term is 2/3, which is less than 1, so the geometric series converges by the Geometric Series Test.

Answer:

Converge

Step-by-step explanation:

The value of r in this infinite series is 2/3.

If the absolute value of r is less than 1, then the infinite series converges.

Since 2/3 is less than 1, the series must converge.

Answer:

Step-by-step explanation:

Answer:

12.5 miles

Step-by-step explanation:

1 mile= 4 min.

x miles= 50 min.

1/4 = x/50

*cross multiply

4x= 50

divide by 4

x= 12.5 miles

Answer:

x° = 81°

Step-by-step explanation:

From the diagram, we have;

Two parallel lines crossed by a common transversal

Therefore, the corresponding angle formed by the transversal and each of the parallel lines are equal

The given angle = 81°

The alternate exterior angle to the given angle = x°

When two parallel lines are crossed by a common transversal, the alternate exterior angles are equal

∴ x° = 81°.

Answer:

y = -1/6x + 2

Step-by-step explanation:

y = -1/6x + b

3 = -1/6(-6) + b

3 = 1 + b

2 = b

Answer:

D. √ 52 = 2 * √ 13 irrational

Step-by-step explanation:

A. 3 √ 8 = 2 rational

B. 3√ 125 = 5 rational

C. √ 49 = 7 rational  

D. √ 52 = 2 * √ 13 irrational

Answer:

The irrational number is [tex]\sqrt{52}[/tex].

Step-by-step explanation:

An irrational number is a non-terminating decimal number that does not follow any specific pattern (example: 0.333.... and 16.111... are all repeating with 3s and 1s, making them rational. While [tex]\sqrt{3}[/tex] or [tex]\sqrt{5}[/tex] are continuing decimals without a pattern, making them irrational). [tex]\sqrt[3]{8}[/tex], [tex]\sqrt[3]{125}[/tex], and [tex]\sqrt{49}[/tex] are all rational numbers, as they are equivalent to 2, 5, and 7 respectively. [tex]\sqrt{52}[/tex] can be written as [tex]\sqrt{4*13}[/tex] or [tex]2\sqrt{13}[/tex], since [tex]\sqrt{13}[/tex] is not a complete square root, which means that [tex]2\sqrt{13}[/tex] is an irrational number.

Answer:

11.5

Step-by-step explanation:

Answer:

A, B and C are all the same as they are all right angles :)

Please mark as brainliest :0

Step-by-step explanation:

Answer:

21.c

22.b

23.c

Step-by-step explanation:

Answer:

324 people, C

Step-by-step explanation:

You first make 60 percent a decimal by moving the deciaml point up two digits, which makjes the number .60. Then, multiply 540 x .60 which gets your 324.

Answer:

3 seconds

Step-by-step explanation:

when h=7 ft

-16t²+49t+4=7

-16t²+49t-3=0

16t²-49t+3=0

16t^2-48t-t+3=0

16t(t-3)-1(t-3)=0

(t-3)(16t-1)=0

t=3,t=1/16

t=1/16 seconds is the time when it just started.

so reqd.  time=3 seconds.

There's a slight problem with your question, but we'll get to that...

Consecutive terms of the sequence are separated by a fixed difference of 21 (22 = 1 + 21, 43 = 22 + 21, 64 = 43 + 21, and so on), so the n-th term of the sequence, a (n), is given recursively by

• a (1) = 1

• a (n) = a (n - 1) + 21 … … … for n > 1

We can find the explicit rule for the sequence by iterative substitution:

a (2) = a (1) + 21

a (3) = a (2) + 21 = (a (1) + 21) + 21 = a (1) + 2×21

a (4) = a (3) + 21 = (a (1) + 2×21) + 21 = a (1) + 3×21

and so on, with the general pattern

a (n) = a (1) + 21 (n - 1) = 21n - 20

Now, we're told that the sum of some number N of terms in this sequence is 2332. In other words, the N-th partial sum of the sequence is

a (1) + a (2) + a (3) + … + a (N - 1) + a (N) = 2332

or more compactly,

[tex]\displaystyle\sum_{n=1}^N a(n) = 2332[/tex]

It's important to note that N must be some positive integer.

Replace a (n) by the explicit rule:

[tex]\displaystyle\sum_{n=1}^N (21n-20) = 2332[/tex]

Expand the sum on the left as

[tex]\displaystyle 21 \sum_{n=1}^N n-20\sum_{n=1}^N1 = 2332[/tex]

and recall the formulas,

[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]

[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]

So the sum of the first N terms of a (n) is such that

21 × N (N + 1)/2 - 20N = 2332

Solve for N :

21 (N ² + N) - 40N = 4664

21 N ² - 19 N - 4664 = 0

Now for the problem I mentioned at the start: this polynomial has no rational roots, and instead

N = (19 ± √392,137)/42 ≈ -14.45 or 15.36

so there is no positive integer N for which the first N terms of the sum add up to 2332.

9 x 15 = 135. Just width times height.

Answer:

27.89feet

Step-by-step explanation:

Given the following

Length of the ladder = 32foot = hypotenuse

Angle of elevation = 29.37°

Required

Distance of the building from the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos 29.37° = d/32

d = 32cos29.37°

d = 32(0.8715)

d = 27.89 feet

Hence the required distance is 27.89feet

Answer:

27.89 feet

Step-by-step explanation:

Hope this helps :)

Answer:

47.37 Inches

Step-by-step explanation:

We start by assuming that we're at zero years when the tree is at 13.63 inches. We then ignore that height, and look at the rate of growth, which is 2.41 in / year.

The question asks how tall the tree is when it's 14 years old, so we multiply 2.41 inches / year by 14 years to get 33.74 inches.

The final step is to add that 33.74 onto the original 13.63 to get a new total of 47.37 inches when the sapling is 14 years old.

Answer:

X = -7

Step-by-step explanation:

x=-7

Hope this Helps q(≧▽≦q)

Answer:

1. x+y=20,000

2. 105x+75y=$1,740,000

Step-by-step explanation:

let x be the stage level seats and y be the higher level seats.

Answer:

x = 11.1

Step-by-step explanation:

3.75x - 1.5 = 40

3.75x = 40 + 1.5

3.75x = 41.5

x = 41.5/3.75

x = 11.07

Rounded to nearest tenth: 11.1

Answer:

11.1

Step-by-step explanation:

3.75x - 1.5 = 40

+1.5 +1.5

3.75x/3.75 = 41.5/3.75

1x=11.1

x= 11.1

Answer:

A) (1, 6) and B) (9,2) im pretty sure

Step-by-step explanation:

Answer:

0.25

because sum of probabilities is always equal to 1

i.e P(sean doesn't miss the bus)+P(sean misses the bus)=1

P(sean misses the bus) = 1-0.85 =0.25

Answer:

25%

Step-by-step explanation:

325/260 = 1.25

Answer:

126 Gallons

Step-by-step explanation:

Take 27/3 to find how many gallons it takes for 1 load which is 9

Then multiply 9 (the gallons it takes for one load) by 14 to get 126 :)