I really need help!! (can you show step by step guide? (​

Answer:

284 cm

Step-by-step explanation:

See picture. We want to solve for x

Using SOH

sin(64)=255/x

x=255/sin(64)

x= 283.71 = 284

Answer:

x + y = 35  equation 1

x + 2y = 62  equation 2

He made 8 1 point free throw

He made 27 2 point field goal

Step-by-step explanation:

let x = 1 point free throw

y = 2 point field goal

two equations can be derived from the question

x + y = 35  equation 1

x + 2y = 62  equation 2

Subtract equation 1 from 2

y = 27

Substitute for x in equation 1

x = 35 - 27 = 8

He made 8 1 point free throw

He made 27 2 point field goal

Answer:

y = 16/3 - 2/9x

Step-by-step explanation:

1/6x + 3/4y = 4

we want to get y alone so we subtract 1/6x on both sides

3/4y = 4-1/6x

then divide 3/4 on both sides to isolate y

y = (4 - 1/6x) / 3/4

simplify

y = 16/3 - 2/9x

Answer:

50.266 or 50.27

Step-by-step explanation:

Answer:

$ 20833.33

Step-by-step explanation:

A = P (1+r/100)^t

Here, A = 25000, r = 3.6% per annum = 0.3% per month, t = 5 years = 60 months, P = ?

So,

25000 = P[1+(0.3)/(100)]^60

Or, 25000 = P (1.003)^60= 1.962P = 1.2 P (approx)

Or, P = (25000)/(1.2) = 20833.33

The number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day. Let's analyze the growth in the number of people who know about the celebrity's proposal day by day.

Initially, 888 people know about the proposal. On the first day, the number of people who know increases by 50% of 888, which is (50/100) * 888 = 444 people. Therefore, after the first day, the total number of people who know is 888 + 444 = 1332.

On the second day, the number of people who know increases by 50% of 1332, which is (50/100) * 1332 = 666 people. Thus, the total number of people who know after the second day is 1332 + 666 = 1998.

Following this pattern, we can determine the number of people who know on subsequent days:

- On the third day: 1998 + (50/100) * 1998 = 2997 people.

- On the fourth day: 2997 + (50/100) * 2997 = 4495.5 (rounded to 4496) people.

- On the fifth day: 4496 + (50/100) * 4496 = 6744 people.

- And so on...

The growth in the number of people who know follows an exponential pattern since it increases by a certain percentage each day. The formula to calculate the number of people who know after a certain number of days can be written as:

N = 888 * (1 + 0.5)^d

where N is the total number of people who know after d days

In conclusion, the number of people who know about the celebrity's proposal will continue to grow exponentially each day, starting from 888 and increasing by 50% each day.

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Answer:

80

Step-by-step explanation:

120/3=40

40x2=80

Answer:

Step-by-step explanation:

let the speed of Landon=x

speed of Eduardo=x+9

5x+5(x+9)=135

divide by 5

x+x+9=135/5=27

2x+9=27

2x=27-9

2x=18

x=18/2=9

speed of Landon=9 mph

speed of Eduardo=9+9=18 mph

The solution is, Right answer: C) -7 is a solution.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We have the equation 2x² +5x -63 = 0

First, let's find the coefficients a, b and c as ax² +bx +c = 0:

• a = 2

• b = 5,

• c = -63

Now, we will use the formula below to solve this equation:

x = -b ±√b²-4ac/2a

Let's replace the coefficients with the values that we already found:

putting the values we get,

x = -5±23/4

Now, let's divide it into two solutions, look:

x1 = 9/2

x2 = -7

Right answer: C) -7 is a solution.

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Answer:

eat sleepless duduehei

The kinetic energy will the ball acquire from the bat is 2× 10² J

According to the question

Bat stays in contact for 5.0 X 10⁻³ and the ball travels at a speed of 2.0 X 10⁴.

An object's kinetic energy is the power it has as a result of motion. It is explained as the amount of effort required to move a mass-based body from rest to the indicated velocity.

The body keeps its kinetic energy, which it acquired during acceleration, unless its speed changes.

A mass m object moving at a speed v has kinetic energy 1/2 mv² according to classical mechanics.

Favg= -1/2 MV²

K= -1 2 ( 5.0 x 10⁻³)²

K = - 1/2 ×25 × 10⁻⁶

K = 2× 10² J

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Answer:

1: No, this is not direct variation

2: Yes, this is direct variation with k= 2.34

Step-by-step explanation:

I’m Just Built Different

By setting up an inequality, the maximum number of vans that are needed to ferry 80 people are 7 vans.

To find the maximum number of vans needed to ferry 80 people using the given terms, let's set up an inequality. Let's use the variable "v" to represent the number of vans.

Since a van can ferry a maximum of 12 people, we can write the inequality as:

12v ≥ 80

Now, let's solve for "v":

Divide both sides of the inequality by 12.
v ≥ 80/12

Simplify the inequality.
v ≥ 6.67

Since we cannot have a fraction of a van, we need to round up to the nearest whole number:

v ≥ 7

Therefore, the maximum number of vans needed to ferry 80 people is 7 vans.

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Answer:

3

Step-by-step explanation:

if you are multiplying, then the number of significant digits should be the number with the least amount of values, in this case, it is 2.80 and 3.09, thus the answer is 3 significant digits

(P.S. I am in FLVS too :) )

Answer:well what is it

Step-by-step explanation:

(a) There are 512 subsets of a.

(b) 126 subsets of a contain exactly 5 elements.

(a) To find the number of subsets of a, we can use the formula \(2^n\), where n is the number of elements in the set. In this case, n = 9. So, the number of subsets of a is \(2^9\) = 512. This is because each element in the set can either be included or excluded from a subset, giving us a total of 2 choices for each element. Multiplying these choices for all 9 elements gives us the total number of possible subsets.
(b) To find the number of subsets of a that contain exactly 5 elements, we need to choose 5 elements out of the 9 available elements. This can be done using the combination formula, which is n choose k = n! / (k!(n-k)!), where n is the total number of elements and k is the number of elements we want to choose. So, in this case, the number of subsets of a that contain exactly 5 elements is 9 choose 5, which is 9! / (5!(9-5)!) = 126.

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Answer:

\( y - 2 = -3(x - 2) \)

Step-by-step explanation:

The equation of the line in point-slope form is given by the formula, \( y - b = m(x - a) \), where,

(a, b) = coordinates of a point on the line.

\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)

Given that after buying 2 lattes, she has $2 left, this represents a point on the line which is (a, b) = (2, 2). That is, when x = 2 lattes, y = $2.

Let's find the slope using the point (2, 2) and any other point on the line, say at x = 1, when y = 5, that's (1, 5).

\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 2}{1 - 2} \)

\( = \frac{3}{-1} \)

\( m = slope = -3 \)

Plug m = -3, a = 2, and b = 2 into point-slope form.

\( y - b = m(x - a) \)

\( y - 2 = -3(x - 2) \)

Answer:

divide 195 by 2 , 5 times. Or 195 × 0.5^5

Answer:

Option (A)

Step-by-step explanation:

From the table attached,

Independent variable 'x' is will be represented by the distance from Metro area.

Similarly, dependent variable 'y' will be on y-axis.

Scatter plot relating the distances of various cities from the metro area (x) to the population of the cities (y) will be represented by the ordered pair as (x, y).

Set of ordered pairs to be plotted,

[(1, 300), (5, 275), (10, 208), (15, 135), (20, 108)]

Therefore, graph given in Option (A) will be the answer.

Answer:

Both triangles have acute angles

According to the question the total number of problems in the packet their coach gave them is 108.

Let the number of problems in the packet be denoted by \(\( P \).\)

Ben took \(\( x \)\) days to finish the packet, Annie took \(\( (x + 4) \)\) days, and Claire took \(\( (x - 2) \)\) days.

Setting up the equations:

Ben's equation: \(\( xy = P \)\)

Annie's equation: \(\( 6(x + 4) = P \)\)

Claire's equation: \(\( 9(x - 2) = P \)\)

Solving for \(\( x \):\)

\(\( xy = 6(x + 4) \)\)

\(\( xy = 9(x - 2) \)\)

\(\( 6(x + 4) = 9(x - 2) \)\)

\(\( 6x + 24 = 9x - 18 \)\)

\(\( 3x = 42 \)\)

\(\( x = 14 \)\)

Substituting \(\( x = 14 \)\) into Annie's equation:

\(\( 6(x + 4) = P \)\)

\(\( 6(14 + 4) = P \)\)

\(\( 6(18) = P \)\)

\(\( P = 108 \)\)

Therefore, Ben took 14 days to finish the packet, and the total number of problems in the packet is 108.

Therefore, the total number of problems in the packet their coach gave them is 108.

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Answer:

Given

distributive property

Subtraction property of equality

Addition property of equality

Division property of equality

Solution

Step-by-step explanation:

Answer:

number of pins to perfect score

120/300=40/100

percent means parts out of 100

40/100=40%

answer is 40% or 0.40

NOTE: To find the percentage we will multiply decimal value of  number of know down pins to a perfect score by 100

Number of know down pins to a perfect score= 0.4 x 100

Number of know down pins to a perfect score=40%

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Answer:

HM

Step-by-step explanation:

dddd

Given

Where h is the height of the falling rock at time t, set h=0 and solve for t, as shown below

However, it is not possible that t<0 as it would imply that the rock reached the ground before falling; therefore, the only possible answer is t=sqrt(10).

Rounding the answer,

Answer:

Step-by-step explanation: