5.
7.
Date: 2/9/3
3.
1.
Directions: Classify each triangle by its angles and sides.
2.
34 m
73
73
60°
7 in
15 in
123
48 m
60%
34
60°
10 in
Per: S
This is a 2-page document! **
34 m
Homework 1: Classifying Triangles
14.4 m
3 mm
6.
8.
6 m
15.6 m
20 ft
48°
3 mm
72⁰
22 ft
15 in
3 mm
17 ft
60°
24 in
106°
15 in

The acceleration was -26.04 m/s².

Equations of motion are a set of equations which describes the basic motion concepts like velocity, position, time and acceleration.

There are mainly three equations of motion.

v = u + at

s = ut + [tex]\frac{1}{2}[/tex] at²

v² = u² + 2as

v is the final velocity, u is the initial velocity, a is the acceleration, t is the time and s is the displacement.

Given,

Initial velocity of the motorist, u = 90 km/h = 90 × (5/18) m/s = 25 m/s

Final velocity of the motorist, v = 0 m/s (since the bike stopped)

Stopping distance, s = 12 m

Using the third equation of motion,

v² = u² + 2as

0² = 25² + (2a × 12)

24a = -625

a = -625 / 24 = -26.04 ≈ -26 m/s²

Hence the acceleration of the motorist was -26 m/s².

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Answer: 180

Step-by-step explanation: Hope this helps :D

Answer:

180 Cows

Step-by-step explanation:

24 in 2 = 12/hr

12 cows x 15 hours = 180 cows

Answer:

Step-by-step explanation:

a) The number of people showing up at the bar during any given minute is a Poisson process with an average rate of 1 person per minute. Let X be the number of people who show up during a random minute. Then X follows a Poisson distribution with parameter λ = 1. The probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - P(X < 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

We can use the Poisson probability mass function to find P(X = k) for k = 0, 1, 2:

P(X = k) = (e^-λ) * (λ^k) / k!

Plugging in λ = 1, we get:

P(X = 0) = e^-1 / 0! = 1/e

P(X = 1) = e^-1 * 1^1 / 1! = 1/e

P(X = 2) = e^-1 * 1^2 / 2! = 1/2e

So, the probability of at least 3 people showing up in a random minute is:

P(X >= 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2)) = 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e) = 1 - (5/2e)

b) The probability of having to wait at least 3 minutes for the next person to show up is equal to the probability of having 0, 1, or 2 people show up during the first three minutes. Using the same calculation as above, we find:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2) = (1/e) + (1/e) + (1/2e) = (2/e + 1/2e) = (5/2e)

So, the probability of having to wait at least 3 minutes for the next person to show up is 1 - (5/2e) = 1 - P(X <= 2).

c) If he has already waited for 1 minute, the probability of having to wait at least 3 more minutes for the next person to show up is equal to the probability of having 0 or 1 people show up during the next 2 minutes. Using the same calculation as above, we find:

P(X <= 1) = P(X = 0) + P(X = 1) = (1/e) + (1/e) = 2/e

So, the probability of having to wait at least 3 more minutes for the next person to show up is 1 - (2/e) = 1 - P(X <= 1).

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The area of the running track, given the parallel sections and the semicircle sections, is https://brainly.com/question/30584763

To find the area of the running track, you first need to find the area of the whole shape and then the area of just the inner section.

Area of whole shape :

= Area of both semicircles + Area of the rectangle

= ( π x 46. 41 ²) + ( 85 x ( 46. 41 x 2 ))

= 14, 659.06 m ²

Then, find the area of the inner section :

=  ( π x 36. 41 ²) + ( 85 x ( 36. 41 x 2 ))

= 10, 356. 45 m ²

The area of the running track is :

= 14, 659.06 - 10, 356. 45

= 4, 302. 61 m ²

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"When solving an inequality, if you the coefficient is negative, as in-3x > 9, the inequality" statement becomes: true

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers. The equals sign in the equation-like phrase 7x 4 > 2x + 5 has been replaced by an arrowhead. This is a prime instance of inequality. This indicates that the left half, 7x 4, is larger than the right part, 2x + 5, in the equation. Finding the values of x for which the inequality holds true will be of importance to us.

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Answer:

Step-by-step explanation:

To solve this problem, we must first use an equation that reflects the amount of acid in each solution and its relationship to the total volume of the resulting solution. We can use the following equation:

(C1 * V1) + (C2 * V2) = (C3 * V3)

Where:

C1 = concentration of the acid solution at 60% (in percent)

V1 = volume of the acid solution at 60% (in ml)

C2 = concentration of the acid solution at 30% (in percent)

V2 = volume of the 30% acid solution (in ml)

C3 = concentration of the resulting 50% acid solution (in percent)

V3 = volume of the resulting 50% acid solution (in ml)

In this case, we know the total volume of the resulting solution (V3 = 300 ml) and the desired concentration (C3 = 50%). We also know the concentration of one of the original solutions (C1 = 60%). So we can plug the known values ​​into the equation:

(60 * V1) + (30 * V2) = (50 * 300)

Clearing V1:

V1 = (300 * 50 - 30 * V2) / 60

Now that we have V1 as a function of V2, we can solve the problem to find the volume of the 60% acid solution to mix with the 30% solution. Substitute the known values ​​into the equation:

V1 = (300 * 50 - 30 * V2) / 60

V1 = (15000 - 30 * V2) / 60

V1 = 250 - (V2 / 2)

We can use this last equation to find the volume of the 30% solution that we must mix with the 60% solution:

V2 = 2 * (250 - V1)

Clearing V1:

V1 = 250 - (V2 / 2)

V1 = 250 - (2 * (250 - V1) / 2)

V1 = 250 - 250 + V1

V1 = 250

Therefore, we must mix 250 ml of 60% acid solution with 250 ml of 30% solution to produce 300 ml of 50% solution.

In the xy-plane, the point (2,10) lies on the graph of the function f(x) = 2x^2 + bx - 8.  The value of b is 4.

What is linear equation?

A linear equation is an equation that describes a straight line in the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept. The slope of a line is the measure of how steeply the line rises or falls, and the y-intercept is the point at which the line crosses the y-axis.

In a two-dimensional coordinate system, a linear equation represents a straight line that can be graphed by plotting pairs of x and y values that satisfy the equation. The line passes through all points that satisfy the equation and no others.

We can find the value of b by using the point-slope form of a linear equation, which states that the equation of a line with slope m that passes through the point (x1, y1) is given by y - y1 = m(x - x1).

In this case, the slope of the line is equal to 4x, and the point (x1, y1) is (2, 10), so we have:

y - 10 = 4x * (x - 2)

Expanding the right-hand side, we get:

y - 10 = 4x^2 - 8x

Matching this equation with the given function f(x) = 2x^2 + bx - 8, we see that b = 4.

So the value of b is 4.

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The required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching to infinity.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
Given expression,

= 3ˣ

put x = 4
= 3⁴ = 81

Now put x = -4
= 3⁻⁴
= 1/3⁴

= 1/81

Since x gets larger as x = 0, 1, 2, 3, and so on 3ˣ get 1, 9, 27, 81 and so on approaching to infinity.

Thus, the required value of the expression at x = 4 and x = -4 is 81 and 1/81 while as x gets larger simultaneously 3ˣ approaching infinity.

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The cost of one pound of potato is 0.73 pounds.

The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Now in the given question , we have to find the cost of one pound of potato.

here we have to find the cost of one pound of potato mia bought.

she total spent $3.65 for them and bought five pounds of potatoes.

cost of one pound of potato

= [tex]\frac{total spent}{total bought} = \frac{3.65}{5} =0.73 pounds[/tex]

 hence, cost of one pound of potato is 0.73 pounds.

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Answer:

x = 80

Step-by-step explanation:

supplementary angles sum to 180°

sum the 2 angles and equate to 180

x + 40 + x - 20 = 180

2x + 20 = 180 ( subtract 20 from both sides )

2x = 160 ( divide both sides by 2 )

x = 80

I think this is it

252-(193×n) =131

The number of snow globe in box is  x³/ 2744.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

length of one small cube = 14 foot.

Volume of small cube = l³

                                     = 2744 ft³

let the edge of one large cube be x.

So, volume of large cube= x ft³

Thus, number of globes in larges box

= Volume of large box/ Volume of small box

= x³/ 2744

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Hi there, here's your answer:

The question asked here is, "Which of the following is a line segment in the  drawing?"

Let's review all the options first.

a) HD

H and D being two points of a line AK form a line segment.

b) HA

H being a point on the line AK and A being an end point of a line make HA a ray.

c) GH

Again, H being a point on line GJ and G being an end point of a line make GH a ray.

d) DI

DI are two distinct points and do not join, thus they don't form a line segment.

Therefore, the correct option is (a) HD

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Answer: 15 pounds

Step-by-step explanation:

10.4(x)+4.3(10)=7.96(x+10)

10.4x+43=7.96x+79.6

2.44x=36.6

x=15 pounds

(check my work. I may have done something wrong, but the equation should be correct.)

Step-by-step explanation:

Zeros is another term for X intercepts.

We'd right the simplest form as (x-/+a), a being the zero

Just remember when you do that, change the signs. It shows -2, +2, +3. That becomes +2, -2, -3

Following that simple form, we get

[tex](x + 2)(x - 2)(x - 3)[/tex]

The measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangles; ∆ABC with hypotenuse = 45 and adjacent = BC, the triangle ∆ADC with hypotenuse = BC and adjacent = 9 with the angle C we can solve for BC as follows:

for ∆ABC;

cosC = 9/BC {adjacent/hypotenuse}

for ∆ADC;

cosC = BC/45 {adjacent/hypotenuse}

9/BC = BC/45

BC² = 9 × 45 {cross multiplication}

BC² = 405

BC = √405 {take square root of both sides}

BC = 20.1246

Therefore, the measure of the length of x is equal to 20.1246 using the trigonometric ratios of cosine for angle C

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With the data points (-2,-3) and (-1,-1), the linear equation is obtained as Option B: y = 2x + 1.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The data points are given for the equation.

Consider the first two points (-2,-3) and (-1,-1).

The slope intercept form of the linear equation is -

y = mx + b

Here m is the slope.

For calculation of slope the formula is -

m = (y2 - y1) / (x2 - x1)

Substitute the values in the equation -

m = [(-1) - (-3)] / [(-1) - (-2)]

m = (-1 + 3) / (-1 + 2)

m = 2/1 = 2

The equation becomes y = 2x + b.

Substitute the point (-2,-3) to get the value of b.

y = 2x + b

-3 = 2(-2) + b

-3 = -4 + b

b = -3 + 4

b = 1

Therefore, the linear equation is y = 2x + 1.

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Answer:

From the given information, we know that:

The thousands digit is greater than 6 and less than 8, so it must be 7.

The hundreds digit is the highest even number, so it must be 8.

The tens digit is 6.

The sum of the tens and ones digit is equal to the hundreds digit, so 6 + ones digit = 8.

Solving for the ones digit, we get:

ones digit = 8 - 6 = 2

Putting the digits together, we get the number: 7862.

So, the 4-digit number that satisfies all the given conditions is 7862.

Step-by-step explanation:

Given the clues, the thousands digit is 7, the hundreds digit is 8, the tens digit is 6, and the ones digit is 2; therefore, the 4-digit number is 7862.

Given the hints, we can infer that:

Therefore, the 4-digit number is 7862.

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Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

The amount that should be invested in order to have $2,290 in 16 years is $929.11.

What is compound interest?

The interest on a deposit calculated using both the initial principle and the accrued interest from prior periods is known as compound interest. In other words, compound interest is interest that is earned on interest.

Here, we have

Given: Xin will invest in an account paying an interest rate of 5.8% compounded annually.

Amount to invest = Future value / (1 + r)ᵗ

Where:

r = interest rate

t = time

X = $2,290 / (1 + 0.058)¹⁶

X = 2,290 / 2.46474

X = $929.11

Hence, the amount that should be invested in order to have $2,290 in 16 years is $929.11.

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∠X = 89°, ∠Y = 90°, ∠Z = 40° ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

→ (2b+6)+(3b-1)=90----> 5b+5=90----> 5b=85----> b=17°

→ ∠Z=2b+6---- 2*17+6-----> ∠Z=40°

→ ∠Y=3b-1---> ∠Y=3*17-1---> ∠Y=50°

angle Y and W are supplementary angles

so

→ ∠Y+∠W=180---------> ∠W=180-∠Y------> ∠W=180-50----> ∠W=130°

angle X and Z are supplementary angles

so

→ ∠X+∠Z=180---------> ∠X=180-∠Z-----> ∠X=180-40°----> ∠X=140°

Therefore, the answer is

Answer:

i think the answer is A and C, B and E

Answer:

D and F

A and C

B and E

Step-by-step explanation:

The probability that at least one of the next five birds he sees is a song sparrow is 0.65

From the question, we have the following parameters that can be used in our computation:

05716    16803   96568    32177      33855

76635    92290  88864     72794    14333

79019     05943   77510      74051    87238

97895      86481   94036    12749    24005

Also, we have:

Using the above as a guide, we have the following individual representations of at least one sparrow bird

Yes   Yes Yes No Yes

Yes No Yes No No

No Yes Yes Yes No

Yes Yes Yes No Yes

So, we have

At least one sparrow bird = 13

Total = 20

So, the probability is

P = 13/20

Evaluate

P = 0.65

Hence, the probability is 0.65

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Tony can afford the car insurance, and he has enough money($426.33) left over each month to cover other expenses.

Automobile, truck, motorbike, and other types of road vehicles are covered by vehicle insurance. Its main purpose is to offer financial security against property loss or personal injury brought on by auto accidents, as well as against liability that can emerge from related events.

According to the information given,

Tony's yearly pay is $8,320

and his monthly pay is $693.

If we round his yearly pay to $8,000, his monthly car insurance will be 1/30 of that amount, or $266.67.

Since Tony's monthly pay is $693, and his monthly car insurance will cost $266.67, he can afford the insurance. He will have $426.33 remaining each month after paying for the insurance.

Therefore, Tony can afford the car insurance, and he has enough money left over each month to cover other expenses. However, this calculation assumes that Tony has no other major expenses or debts, and it is always a good idea to budget carefully and consider all potential costs before making a significant purchase.

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Answer:

Step-by-step explanation:

its Reduced to 2 / 5, which is 40 percent. Maria has 40 percent of her work completed

Answer:

Step-by-step explanation: We can start the problem by using the principle of Proportional Equivalents. We can write two equations based on the given information:

Let's say that the rate of filling the pool with one large pump is x and the rate of filling the pool with one small pump is y.

Then, we can write the following two equations:

2x + 1y = 1/4 (because two large and one small pump can fill the pool in 4 hours)

1x + 3y = 1/4 (because one large and three small pumps can fill the pool in 4 hours)

Now we have two equations with two unknowns, x and y. We can solve for x and y using either substitution or elimination method. Let's use substitution method.

Solving for x:

From equation (1), we have 2x = 1/4 - 1y

Substituting this value of x in equation (2), we get:

1 (1/4 - 1y) + 3y = 1/4

Expanding and simplifying, we get:

1/4 - 1 + 3y = 1/4

3y = 1/2

y = 1/6

So, the rate of filling the pool with one small pump is 1/6.

Now that we have found the value of y, we can find the value of x.

x = 1/4 - 1y = 1/4 - 1 * 1/6 = 1/4 - 1/6 = 1/12

So, the rate of filling the pool with one large pump is 1/12.

Now that we have found the rate of filling the pool with each large and small pump, we can find the time it will take 4 large and 4 small pumps to fill the pool.

Let's call the rate of filling the pool with 4 large and 4 small pumps as R.

Then, R = 4 * 1/12 + 4 * 1/6 = 1/3

So, it will take 1/R = 3 hours to fill the pool with 4 large and 4 small pumps.

Answer:

B

Step-by-step explanation:

the zeros are the values of x on the x- axis where the graph crosses

the graph crosses the x- axis at 1 and 3

then the zeros are x = 1 , x = 3

The x- and y-components of the vector [tex]\mathbf{\hat d }[/tex] are approximately -2.25 km and 4.30 km, respectively.

In physics and mathematics, a vector is a mathematical object that has both magnitude and direction. Vectors are often represented by arrows, with the length of the arrow indicating the magnitude of the vector, and the direction of the arrow indicating the direction of the vector.

For example, the velocity of a moving object is a vector quantity, because it has both a magnitude (the speed of the object) and a direction (the direction in which the object is moving).

To find the x-components and y-components of the vector [tex]\mathbf{\hat d }[/tex] = (5.0 km, 29° left of +y-axis), we can use trigonometry.

The magnitude (or length) of the vector is given by the first component, which is 5.0 km.

The angle between the vector and the positive y-axis is 29° left of +y-axis, which means it forms a 61∘ angle with the negative y-axis (since 29∘ + 61° = 90°).

The x-component of the vector can be found by multiplying the magnitude by the cosine of the angle:

x-component = magnitude x cos(angle) = 5.0 km x cos(61°) ≈ -2.25 km

The negative sign indicates that the x-component is in the opposite direction of the positive x-axis.

The y-component of the vector can be found by multiplying the magnitude by the sine of the angle:

y-component = magnitude x sin(angle) = 5.0 km x sin(61°) ≈ 4.30 km

Therefore, the x- and y-components of the vector [tex]\mathbf{\hat d }[/tex] are approximately -2.25 km and 4.30 km, respectively.

Expressed as an ordered pair, the components are (-2.25 km, 4.30 km).

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