Match each θ with its corresponding quadrant location

1. cos θ= -15/13, tan θ is negative

2. tan θ= 3/4, sec θ is negative

3. cot θ= -3π/2 ≤ 0

4. csc θ= -2, cot=-√3


Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4

Answer:

12.25

Step-by-step explanation:

3.5*3.5=12.25

Answer:

12.25m^2

Step-by-step explanation:

3 1/2 × 3 1/2

3 1/2 is equivalent to 7/2

7/2 × 7/2= 49/4

this simplifies to 12.25

answer: 12.25 m^2

15,0

Step-by-step explanation:

Answer:

9/35ths of the total amount \((\frac{9}{35} )\)

Step-by-step explanation:

essentially, we are finding 3/5ths of 3/7ths

"of" in math is an indication to multiply

so,

\(\frac{3}{5}\) × \(\frac{3}{7}\) = \(\frac{9}{35}\)

9/35ths of the total amount of vehicles are red cars.

Answer:

x=4, x=-4

Step-by-step explanation:

x^2-16=0

Add 16 to both sides;

x^2-16+16=0+16

Simplify;

x^2=16

x=\(\sqrt{16}\), x\(-\sqrt{16}\)

\(\sqrt{16}\)

=4

factor the number;16

\(\sqrt{4^2}\)

=\(\sqrt{4}\)

-\(\sqrt{16}\)

Factor the number 16;

\(\sqrt{4^2}\)

=-4

Step-by-step explanation:

we are looking for the greatest common factor of the 3 numbers.

e.g. by prime factorization :

18 = 2×3×3

36 = 2×2×3×3

45 = 3×3×5

the largest chain of prime factor multiplication that is contained in all 3 numbers is 3×3.

the GCF is therefore 3×3 = 9.

and that (9) is the largest possible number of bottles in one box.

oh, and Garth (18 bottles) bought therefore 2 boxes.

Rico (36 bottles) bought 4 boxes.

Mai (45 bottles) bought 5 boxes.

The least common multiple that is divisible by both a and b is the smallest positive integer. The number of times Ram, Hari and Shyam will meet in 180 days is 30 times.

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Given that Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 days and 3 days respectively. Therefore, the number of day after which all three together will meet can be found by taking the LCM.

Since the LCM of the 1, 2 and 3 are 6. Therefore, the three of them will meet after every 6 days.

Thus, if they all meet today then within 180 days, the number of times they meet is,

Number of times they meet = 180 days/6 = 30

Hence, the number of times Ram, Hari and Shyam will meet in 180 days is 30 times.

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Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer

Write properties of function:

x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)

factorized form: \(f(x)=(x+1)(x-2)(x+7)\)

Explanation

Write properties of function: Write properties of function:

x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)

factorized form: \(f(x)=(x+1)(x-2)(x+7)\)

Answer: Write properties of function:

x intercept/zero: \(x_1=-7\); \(x_2=-1\); \(x_3=2\)

factorized form: \(f(x)=(x+1)(x-2)(x+7)\)

\(\huge\bold\purple{2/3:}\)

Answer:

Option a!

Step-by-step explanation:

inverse means opposite:

First part of the statement:

If I studied for it

(opposite)

If I did not study for it

Second:

I did well on the exam

(opposite)

I did not do well on the exam

Hope this makes sense.

- profparis

Answer:

f * g)(x) = 8x^2 - 2x - 15

Step-by-step explanation:

Since we want to find (f * g)(x), we want to multiply the entire functions and leave the answer in terms of x (in terms of x simply means we do the multiplication and the simplified answer will be in terms of x):

Thus, we have (2x - 3)(4x + 5).  This is a binomial expression and we can multiply binomials using the FOIL method, where

We add all the terms and combine like terms to find (f * g)(x):

(2x * 4x) + (2x * 5) + (-3 * 4x) + (-3 * 5)

8x^2 + 10x - 12x - 15

8x^2 - 2x - 15

Thus, (f * g)(x) is 8x^2 - 2x - 15

Answer:

A. 91

Step-by-step explanation:

Supplementary angles are 2 angles that when added together, equal 180 degrees. 91+89=180

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Answer:

X=-1.25

Step-by-step explanation:

Y=-5.6X-7

To find X-INTERCEPT/ZERO substitute y=0

0=-5.6x-7

Move the VARIABLE to the left-handed side and change it's sign

5.6x=-7

Divide both sides of the equation by 5.6

x=-1.25

Which gives you: x=-1.25

Alternative Form:

x=-5/4x=-1^1/4

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The answer is:

11

Hopefully this is right

Answer:

11

Step-by-step explanation:

\(4^{2}\)-3*4+7 = 16 -12+7 = 4+7 = 11

Answer:

true

Step-by-step explanation:

true the definition is right

The distance between two points in three-dimensional space is a measure of the separation between the two points. In this case, the two points are the center of a sphere and a point that the sphere passes through.

To find the distance, we can use the distance formula in three dimensions, which is an extension of the distance formula in two dimensions. The distance formula is:

d = √((x1 - x2)^2 + (y1 - y2)^2 + (z1 - z2)^2)

where (x1, y1, z1) is the center of the sphere and (x2, y2, z2) is the point that the sphere passes through. The square root of the sum of the squares of the differences between the corresponding coordinates gives the distance between the two points.

In this problem, the center of the sphere is not given, so it is not possible to calculate the distance between the sphere and the point. The center of the sphere is a crucial piece of information needed to solve this problem.

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Answer:

$29.16

Step-by-step explanation:

Each gallon of gas is $2.16.

13.5 gallons of gas is 2.16 (13.5) = $29.16.

Answer:

16000 i think

Step-by-step explanation:

Answer:

16000

Step-by-step explanation:

You turn the 9 to a six since the 9 is bigger than 5

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Using the parentheses to rewrite the equation 8×9-2-3​ gives 67.

In mathematics, the order of operations are the rules that tell the sequence in which the multiple operations in an expression should be solved.

A way to remember the order of the operations is PEMDAS, where each letter stands for a mathematical operation. There is also another version called BODMAS but the principles are the same

Parenthesis            (  )

Exponent                a⁷

Multiplication          ×

Division                   ÷

Addition                  +

Subtraction             -

Given: 8×9-2-3​

We can rewrite the equation using parenthesis using PEMDAS:

Multiplication first, then followed by addition/subtraction:

8×9-2-3​ = (8 × 9) - 2 - 3

             = 72 - 2 - 3​

             = 67

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Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Draw a model and write to represent 4 times as many as 3 is 12.

The required equation is 4×3=12 and the required model is shown in figure.

The model for the provided question is shown in the figure, where there are 3 rows and 4 blocks in a row we get 12 blocks total.

Consider the provided information.

We need to draw a model and write an equation to represent 4 times as many as 3 is 12.

4 times as many as 3 can be written as:

4×3

This expression is equal to 12. Thus the combined equation is:

4×3=12

Therefore, the equation represents 4×3=12.

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Answer:

it might go like A= 12 B= 0 C = -6

Answer:

Step-by-step explanation:

Assuming that the given dimensions of 13, 13, 13 refer to the base of the rectangular pyramid, we can calculate the surface area of the pyramid as follows:

First, we need to calculate the area of the rectangular base, which is simply length x width:

Area of rectangular base = 13 x 13 = 169 square units

Next, we need to calculate the area of each triangular face of the pyramid. Since the rectangular base has two sets of parallel sides, there are two types of triangular faces: the isosceles triangles on the sides and the right triangles on the front and back.

To calculate the area of the isosceles triangles, we need to first find the length of the slant height, which can be found using the Pythagorean theorem:

a² + b² = c²

where a and b are the base and height of the triangle (both equal to 13 in this case), and c is the slant height.

13² + 13² = c²

338 = c²

c ≈ 18.38

Now that we have the slant height, we can calculate the area of each isosceles triangle using the formula:

Area of isosceles triangle = (1/2) x base x height

Area of isosceles triangle = (1/2) x 13 x 18.38

Area of isosceles triangle ≈ 119.14 square units

To calculate the area of each right triangle, we need to use the same slant height of 18.38, along with the height of the pyramid, which is also 13. Then we can use the formula:

Area of right triangle = (1/2) x base x height

Area of right triangle = (1/2) x 13 x 18.38

Area of right triangle ≈ 119.14 square units

Since there are two of each type of triangular face, the total surface area of the pyramid is:

Surface area = area of rectangular base + 2 x area of isosceles triangle + 2 x area of right triangle

Surface area = 169 + 2 x 119.14 + 2 x 119.14

Surface area = 546.28 square units

Therefore, the surface area of the rectangular pyramid with base dimensions of 13 x 13 and height of 13 is approximately 546.28 square units.

Answer:

18cm

Step-by-step explanation:

The ratio is given by: 7.5/2.5=3

DE = 6 × 3 = 18 cm

or

DC/CB = x/AB

7.5/2.5 = x/6

3=x/6

x=6×3=18 cm

The probability that a student chosen randomly from the class has a sister is 3/5.

The probability of an event is the fraction of the number of favorable occurrences of an event to the total occurrences of the event.

P(a) = n(a)/n(s)

where 'a' is an event.

The given data table shows how many students have a brother or a sister in a class of students.

The number of students who have both a sister and a brother = 6

The number of students who have only a brother and do not have a sister  = 3

The number of students who have only a sister and do not have a brother = 12

The number of students who do not have both a sister and a brother = 9

So, the total number of students in the class = 6 + 3 + 12 + 9 = 30

Then, the probability that a student chosen randomly from te class has a sister is

= (number of students who have a sister)/total number of students

= (6 + 12)/30

= 18/30

= 3/5

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Answer:

Ann traveled 165 miles on 5 gallons of gas

Step-by-step explanation:

First we must know how many miles are in a gallon (in this situation). Last weekend Ann drove 132 miles with 4 gallons of gas, we can divide to find out how many miles she drove on 1 gallon. 132/4 = 33. This means Ann drove 33 miles on 1 gallon of gas. To get your answer, simply multiply 5 and 33. 5 times 33 = 165.