Find the solutions to x2 = 24.
A. x = 16.2
X
B. X= 14,6
C. X= +6.14
D. X = +216

[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]

[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]

Answer:

yysywywyyw7e7eueuuwuwuuwueu3u3

Answer:

it's the point T.

Hope it helps

Answer:

m / 6/7 = 5/6

m = 35

Step-by-step explanation:

Answer:

Step-by-step explanation:

The quotient of m and 6/7 is 5/6:

Answer:

reflection over the y axis

Step-by-step explanation:

Answer:

B. LXYB.

Step-by-step explanation:

Answer:

a) not one to one function; horizontal line intersects the graph of the function more than once.

b) yes it's a one to one function; the graph passes the horizontal line test

c) not one to one function; the graph doesn't pass the horizontal line test

d) yes it's a one to one function; the horizontal line doesn't intersect the function more than once

Answer:

5 pints is needed

Step-by-step explanation:

2 pints of white paint for pink

1 pint of red for pink

10 pints of white paint = 5 pints of red

Answer: 10,400

Step-by-step explanation:

I=  ?        P=   10,000       R=   4%        T= 3 yrs

The given information of the base length and the height of the

rectangle are sufficient to find the area of the triangle.

Correct response:

Given that the parameters are;

The base of the triangle = [tex]\sqrt{245}[/tex] cm

The height of the triangle = [tex]\mathbf{\sqrt{20}}[/tex] cm

Required:

To find the area of the triangle

Solution:

Therefore, the area, A, of the given triangle is given as follows;

[tex]A = \dfrac{1}{2} \times \sqrt{245} \ cm \times \sqrt{20} \ cm= \dfrac{1}{2} \times \sqrt{4,900} \ cm^2= \dfrac{1}{2} \times 70 \ cm^2 = 35 \ cm^2[/tex]

Learn more about the area of plane shapes here:

https://brainly.com/question/8428727

https://brainly.com/question/9405007

Answer:

look at the pivots (the leading 1's of the rows)

Step-by-step explanation:

Then, look at the pivots (the leading 1's of the rows). If we have a pivot in every column, then the nullspace of the matrix (and hence the kernel of T) is zero-dimensional. So, T is one-to-one if and only if the REF has pivot in every column.

Answer:

155

Step-by-step explanation:

Answer:

67.5% or 68%

Step-by-step explanation:

Say each group has 100 students. 25% of 100, is 25 students.

25 students of group 1 prefers acrylic. That leaves 75 students that prefer watercolor.

60% of group 2, or 60 students, prefer water color. That leave 40 students that prefer acrylic.

25+40=65

60+75=135

That is true, since there are 200 students in total.

Now set up a ratio, with watercolor over acrylic.

135:65

135 is 67.5% of 200.

I really don't know if that is a choice, so maybe 68%?

-hope it helps

Answer:

Compare the constants of the two variables.

Changed at the same rate, or by the same factor, then they are directly proportional. For example, since the x-coordinates changed by a factor of 2 while the y-coordinates also changed by a factor of 2, the two variables are directly proportional.

Step-by-step explanation:

In writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X

Recall:

Thus, Tina's comparison is given in the diagram attached below.

The comparison labelled X is incorrect because -(-9) = 9. Opposite of 9 is -9.

Therefore, in writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X

Learn more about opposite value of a number on:

https://brainly.com/question/12427791

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

Answer:

76, 76 104

Step-by-step explanation:

Angle 3 is vertical so it is congruent to Angle 2.

Angle 6 is corresponding, so it is congruent to Angle 2.

Angle 8 is linear to Angle 6, so they add to 180

Answer:

see explanation

Step-by-step explanation:

(a)

∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 3 and ∠ 6 are corresponding angles and are congruent , then

∠ 6 = 76°

(c)

∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is

∠ 8 + 76° = 180° ( subtract 76° from both sides )

∠ 8 = 104°

Answer:

the asnwer is (2,3)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

3.95 ≈ 4

Step-by-step explanation:

A whole number refers to a whole integer, meaning there can be no decimals or fractions. Follow the rule 4 and below to round down, and 5 and above to round up.

Answer: 1.75

Step-by-step explanation:

5.25 / 3 = 1.75

1.75 x 4 = 7

7 + 5.25 = 12.25

1.75 x 7 = 12.25

since they are the same answer it's right

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-3

Step-by-step explanation:

Evaluate - 1 - ( - z ) where z = -2

you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3

Answer:

h = a * sin α

Step-by-step explanation:

The easiest answer is utilizing Law of Sines: a / Sin A = b / Sin B = c /Sin C

a and ∠α : known

∠AEB = 90°

a / Sin 90° = h / Sin α   .. Sin 90° = 1

h = a * sin α

Answer:

There are 35 boys in the class.

Step-by-step explanation:

Girls to Boys ratio = 3:7

Total number of students in class = 50

Let total number of girls be '3x' and total number of boys be '7x'

Total number of girls + Total number of boys = Total number of students

3x + 7x = 50

10x = 50

x = 50/10

x = 5

[tex] \therefore [/tex]

Total number of girls = 3 × 5 = 15

Total number of boys = 7 × 5 = 35

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Answer:

1

Step-by-step explanation:

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

Answer:

pi

Step-by-step explanation:

Equivalent expressions are expressions that have the same value, and can be used interchangeably.

The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

The expression is given as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]

Rewrite the expression as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]

Evaluate the roots

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]

Open the brackets

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]

The above expression cannot be further simplified.

Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

We have to determine, the sum of the given expression.

According to the question,

Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]

To determine the sum of the given expression following all the steps given below.

Rewrite the expression term in the form of their cubes,

[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]

Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/21798224

Answer:

Last one

Step-by-step explanation:

17 times 3 is 51

Answer:

is it the first one

Step-by-step explanation:

cause

51 divide by 3 is 17