If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=0, what is the exact measure of θ?

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

Step-by-step explanation:

A = mR - R

R(m - 1) = A

R = A / (m - 1)

Answer:

Step-by-step explanation:

y=mx+b

m= slope and b= y intercept

you'll start with a point on the y axis on -1

and the slope will go up so towards the right corner up but 2/1 points

Answer:

x=82

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 19.

x/38=41/19

floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above

THIS PIC WILL ALSO HELP U

Rays: BD, AC, CA, AB. Lines:  AC

A line is a straight path of points that has no beginning or end

A ray is a portion of a line which has one endpoint and extends forever in one direction

Let's put the definitions:

Note: the arrow is an indication no endpoint

So we have ray BD (it starts from the dot at B and the arrow shows it extends forever  in the direction of D)

We have ray AC (it starts from the dot at A and the arrow shows it extends forever  in the direction of C)

We also have ray CA (it starts from the dot at C and the arrow shows it extends forever  in the direction of A)

Then ray AB (it starts from the dot at A and the arrow shows it extends forever  in the direction of B)

Then  line AC (it's bounded by 2 arrows, so it has no endpoint)

Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer

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Answer:

\(d =3\)

General Formulas and Concepts:

Pre-Alg

Algebra II

Step-by-step explanation:

Step 1: Define

Point (0, -7)

Point (-3, -7)

Step 2: Find distance d

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

1/5x

Step-by-step explanation:

1/5x

Answer:

10

Step-by-step explanation:

you do the one plus the nine which gives you 11 then subtract 2 which gets you 9 then add 4 which gets you 13 then minus 3 which gets you 10.

Answer: x = 2.

LN = MP = 2.

Solution in the photo, below.

Answer:

3

Step-by-step explanation:

subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

⇢∠V + ∠T = ∠x

⇢53° + 103° = 156°

⇢∠VUX = 156°

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Hence , option b is the correct answer.

Answer:

B) 156 is correct

Hope it helps

Answer:

40 cheesburgers

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

45% is 9/20

18 cheeseburgers is 9/20 of all the cheese burgers

36 cheeseburgers is 18/20 of all the cheeseburgers

40 cheese burgers is 20/20 of all cheeseburgers

Since the function is a quadratic function, then the domain is the set of all real values of x that will give real values for y.

Hence x can range from;

and whatever real value of x that is put into the function gives real values of y.

Therefore the domain for the function is a set of real values of x ranging from minus infinity to plus infinity.

The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0

Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:

Null Hypothesis: There is no difference in the mean times spent by the schools' students.

Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.

By using the appropriate symbols, it becomes

The null hypothesis is

H0 : μa = μb H0 : μa - μb = 0

The alternative hypothesis is

Ha : μa ≠ μb Ha : μa - μb ≠ 0

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Answer:

2/3 and 10/15

Step-by-step explanation:

................

Step-by-step explanation:

the two equivalent fractions are 2/3 and 10/15

Answer:

the person above is right it's 4.5 units

give them the crown

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer: what unit is this?

Step-by-step explanation:yeah I’ll need the unit to solve this question

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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1. The proof of the Pythagorean Theorem with Similar Triangles using a two-column proof is given as ab² + ac² = bc².

2. The Converse of the Pythagorean Theorem using a two-column proof is given.

1. Pythagorean Theorem with Similar Triangles

Given: Right triangle ABC with legs AB and AC and hypotenuse BC

Prove: AB^2 + AC^2 = BC^2

Given Right triangle ABC with legs AB and AC and hypotenuse BC

Draw altitude BD from point B to AC

Let D be the foot of the altitude from B to AC

Draw CE parallel to AB and DE parallel to BC

Let CE = x and DE = y

Since CE and DE are parallel to AB and BC respectively, we have a pair of similar triangles

ABC ~ CEF and ABD ~ DEF

By similar triangles, we have:

AB/BC = CE/EF

AB/BC = BD/DE

Cross multiplying and simplifying gives:

AB^2/BC^2 = CE^2/EF^2 = BD^2/DE^2

Since CE = x and DE = y, we have:

AB^2/BC^2 = x^2/y^2

Adding BD^2/DE^2 to both sides gives:

AB^2/BC^2 + BD^2/DE^2 = x^2/y^2 + BD^2/DE^2

Simplifying gives:

AB^2/BC^2 + BD^2/DE^2 = (x^2 + BD^2)/y^2

Since x^2 + BD^2 = CE^2 and y^2 = DE^2, we have:

AB^2/BC^2 + BD^2/DE^2 = CE^2/DE^2

Multiplying both sides by BC^2DE^2 gives:

AB^2DE^2 + BD^2BC^2 = CE^2

Since DE^2 = y^2 and BC^2 = x^2, we have:

AB^2y^2 + BD^2x^2 = CE^2

Since CE^2 = x^2, we have:

AB^2y^2 + BD^2x^2 = x^2

Adding AC^2y^2 to both sides gives:

AB^2y^2 + BD^2x^2 + AC^2y^2 = x^2 + AC^2y^2

Simplifying gives:

(AB^2 + AC^2)y^2 = x^2 + AC^2y^2

Dividing both sides by y^2 gives:

AB^2 + AC^2 = x^2 + AC^2

Since x^2 = CE^2 = AC^2, we have:

AB^2 + AC^2 = BC^2

2. Converse of the Pythagorean Theorem

Longest side = c in one triangle and f in the other.

By Pythagoras a^2 + b^2 = c^2   (Given)

Also in the other triangle a^2 + b^2 = f^2,  if it is right-angled.

Therefore a^2 = f^2 and a = f.

So the 2 triangles are congruent by SSS.

So m < C  in one triangle = m < F  ( the angles opposite the hypotenuse)

Therefore the second triangle is right angled .

This completes the proof.

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The first five terms of the given sequence are, 12, -9, 30, -51, -72....

A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Given is the recursive formula, we need to find the first five terms of the  sequence,

1) a₁ = 12, aₙ = 3 and aₙ₋₁-21 :-

a₂ = a₂₋₁ -21

= 12-21

= -9

a₃ = a₃₋₁-21

= -9-21

= -30

a₄ = a₄₋₁-21

= -30-21

= -51

a₅ = a₅₋₁-21

= -51-21

= -72

Hence, the first five terms of the given sequence are, 12, -9, 30, -51, -72....

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Answer:

Number of month in first gym = 7

Number of month in second gym = 5

Step-by-step explanation:

Given:

First gym member ship cost = $75 per month

Second gym member ship cost = $50 per month

Total spending = $775

Computation:

Number of month in first gym = a

Number of month in second gym = b

So

a + b = 12....eq1

75a + 50b = 775 ....eq2

From eq 1 and 2

a = 7 month

b = 5 month

Number of month in first gym = 7

Number of month in second gym = 5

Answer:

B and D

Step-by-step explanation:

i got it right :D

Answer:

8.

Step-by-step explanation:

im not 100% sure but this is how i did it. 12×100÷150=8.( sorry if you get the answer wrong)

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.

Step-by-step explanation:

The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.