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cos Θ =4/5 and sin Θ<0. Identify the quadrant of the terminal side of Θ and find sin Θ.

Answer:

The answer is 12

Step-by-step explanation:

look under the home tab and look at 5-10. There's the answer

The percent of children who are between the ages 5 and 10 will have their birthday party at home is 10.91%.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given that,

There are total of 325 children in different ages who have their birthday party in different ways.

Number of children in between the ages 5 and 10 = 110

Number of children of the ages 5-10 who have their birthday party at home = 12

In order to find the percentage, divide part with the whole.

Percentage = 12 / 110 = 0.1091

Percentage is 10.91%

Hence the required percentage is 10.91%.

Learn more about Percentage here :

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Formula for the circumference of a circle = pi x 2 x radius

Circumference = 3

pi = 3.14

radius = r

---To find the radius, we will need to solve for it. Start by plugging in what we know.

3 = 3.14 x 2 x r

---Simplify by multiplying 3.14 by 2

3 = 6.28 x r

---Divide both sides by 6.28 to solve for r

r = 3 / 6.28 = 0.4777

---Round the decimal to the nearest tenth

r = 0.5

Hope this helps!

r=0.5

Hope it helps.

Do comment if you have any query.

The solution to the given system of equations is the point (1, 5).

Here we have the system of equations:

g(x) = 3x + 2

f(x) = |x - 4| + 2

To solve this, first you can see where the graphs intercept on the graph (the intercept point is the solution to the system)

But we can also solve it analytically. To do it, we have:

g(x) = f(x)

3x + 2 =  |x - 4| + 2

3x =  |x - 4|

Notice that the only solution of the above equation is x = 1, so we know that it is the x-value of the solution.

To get the y-value, we just evaluate one of the two given functions on x = 1.

f(1) = |1 - 4| + 2= 3 + 2 = 5

Then the solution to the system is the point (1, 5).

If you want to learn more about systems of equations, you can read:

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Answer:

[tex] \frac{560}{7} = 80[/tex]

[tex]80 \times 20 = 1600[/tex]

Hillary read 80 word every min

so, 80 × 20 =1600 word every 20 min

Answer:

58.7

Step-by-step explanation:

i'v been practicing it since 6th grade.

The solution of the inequality 2(4x - 3) ≥ -3(3x) + 5x is true for all x such that its a real number bigger or equal to 0.5 (Option A: x ≥ 0.5)

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

The considered inequality is:

[tex]2(4x - 3) \geq -3(3x) + 5x[/tex]

Simplifying its both sides, we get:

[tex]2(4x - 3) \geq -3(3x) + 5x\\8x-6\geq -9x + 5x\\8x-6 \geq -4x[/tex]

Adding 4x on both the sides, we get:

[tex]8x-6+4x \geq -4x + 4x\\(8+4)x - 6 \geq 0\\12x -6 \geq 0\\[/tex]

Adding 6 on both the sides, and dividing by 12, we get:

[tex]12x-6 +6 \geq 0+6\\12x \geq 6\\12x/12 \geq 6/12\\x \geq 0.5[/tex]

(some operations like addition, subtraction, multiplication by positive real number or division by positive real number keeps the inequality relation unaltered. With the use of such operations, here we tried to get x on one side, and constants on other side).

Thus, the considered inequality is true for all the values of x which are real numbers bigger or equal to 0.5 (Option A: x ≥ 0.5)

Learn more about inequalities here:

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Answer:

6

Step-by-step explanation:

if you plug in and add it all up you get 6

The expression that is equivalent to the given expression is 125y⁵.

The given expression is:

[tex]\frac{5y^{3} }{(5y)^{-2} }[/tex]

Some important power rules applicable to this problem are:

1)[tex](ab)^m=a^mb^m[/tex]

2)[tex]\frac{1}{a^{-n} } =a^n[/tex]

So, [tex]\frac{5y^{3} }{(5y)^{-2} } =\frac{5y^{3} }{5^{-2} y^{-2} }[/tex].....by power rule (1)

[tex]=(\frac{5}{5^{-2} } )(\frac{y^3}{y^{-2} })[/tex]

[tex]=5^3y^5[/tex].....by power rule(2)

[tex]=125y^5[/tex]

Hence, the expression that is equivalent to the given expression is 125y⁵.

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Answer:

9200

Step-by-step explanation:

9.2x10^3 is the same as saying 9.2 multiply 10 three times

Answer:

C

Step-by-step explanation:

Use the pythagorean theorem.

32^2+b^2=48^2

1024+b^2=2304

Subtract 1024

b^2=1280

Square root

b=sqrt(1280)

Now simplify sqrt(1280)

sqrt(1280) = sqrt(256*5)

You can take the square root of 256 since it is a perfect square so take it out of the radical.

sqrt(256*5)=16sqrt(5)

So the answer is c, 16[tex]\sqrt{5}[/tex]

Answer:

C. 16/5

Step-by-step explanation:

pythagorean theorem

a^2 + b^2 = c^2

divide 48 and 32 by 16

a= 2 c= 3

4 + b^2 = 9

b^2 = 5

b = √5

then multiply 16 with √5

which =

16√5

Answer:

I can t see it

Step-by-step explanation:

Answer:

$109.875

Step-by-step explanation:

Assuming "a pair" means 4 tires the math would be as follows:

146.50 for 4 tyres.

146.5/4 = cost of one tyre.

1 tyre: $36.625

Multiply by 3 for price of three tires:

36.625 x 3 = $109.875

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.

Now, let's find Angle C using Angle sum property of a triangle.

[tex]\qquad \tt \dashrightarrow \:\angle C + \angle B + \angle D = 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C + 90 + 45= 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C + 135= 180[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C= 180 - 135[/tex]

[tex]\qquad \tt \dashrightarrow \:\angle C= 45 \degree[/tex]

Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :

[tex]\qquad \tt \dashrightarrow \:2\angle C = 10x[/tex]

[tex]\qquad \tt \dashrightarrow \:10x = 2 \times 45[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 90 \div 10[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 9[/tex]

So, the required value of x is 9

Answer:

Step-by-step explanation:

we are given A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4 Sample space:

the sample space of an experiment or random trial is the set of all possible outcomes or results of that experimentso, we will only unique outcomesso, sample space is S={1,2,3,4}................Answer

The square MATH has equal side lengths MA, TH, AT and HM

Hanna's claim is correct because

The coordinate points are given as:

M(1, 2), A(-5, 3), T(-6,-3), and H(0,- 4).

Calculate the side lengths of the square using the following distance formula

d = √[(x2 - x1)^2 + (y2 - y1)^2]

So, we have:

MA = √[(1 + 5)^2 + (2 - 3)^2] = √37

AT = √[(-5 + 6)^2 + (3 + 3)^2] = √37

TH = √[(-6 + 0)^2 + (-3 + 4)^2] = √37

HM = √[(0 - 1)^2 + (-4 - 2)^2] = √37

The side lengths are equal.

Next, we calculate the slopes using:

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

So, we have:

MA = (2-3)/(1+5) = -1/6

AT = (3+3)/(-5+6) = 6

TH = (-3+4)/(-6+0) = -1/6

HM = (-4-2)/(0-1) = 6

See that opposite sides have the same slope

i.e MA = TH and AT = HM

And adjacent sides have their slopes to be opposite reciprocals

i.e. MA = -1/AT and TH = -1/HM

The calculated distances and slopes implies that Hanna's claim is correct

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Answer:

[tex]w = 10 \sqrt{2} [/tex]

[tex]y = 20[/tex]

Step-by-step explanation:

Use the Sine Rule to solve for the unknown sides.

The factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex]

First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

[tex]\rm -8x^3 -2x^2 - 12x - 3\\\\-2x^2(4x+1)-3(4x+1)\\\\(4x+1)(-2x^2-3)[/tex]

Hence, the factors of the expression are [tex]\rm (4x+1)(-2x^2-3)[/tex].

To know more about factors click the link given below.

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Answer:

A: y=-2x-2

B: y=-2x+2

Step-by-step explanation:

Answer:

I believe 6in squared is the correct answer

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6*?=24 in

6*4=24in

if it is 3 in on the smaller one, it also will be 2 so it will be 6.

Answer:

125 dollars

Step-by-step explanation:

Answer:

$5.67

Step-by-step explanation:

All you have to do is 17 divided by 3 to figure out how much it costs for one hour, that equals 5.666, but you have to round it to the nearest cent, which equals 5.67. ;)

Answer:

Here is the answer in the picture sorry I was late to answer I got busy in a zoom but here

Step-by-step explanation:

A box plot is basically a box with lines that tell you where the minimum,first quartile,median,third quartile and maximum are on a line.

So I just but all the values in order than find the minimum,first quartile,median,third quartile and maximum are and then build the box plot

(7,10,14,15,15,18,18,19,20,20,22,23)

Answer: A) 2.4 ÷ 6

Step-by-step explanation:

      To answer this problem, we need to find the original whole and what it is being divided by.

[] The whole is 2.4 because we see two wholes shaded in, and 4 columns shaded in. For this model, it represents 2.4

[] It is being divided into 6 parts. This is shown with the white numbers and the thicker lines

      We can also check with math, 2.4 divided by 6 is 0.4 so it "checks out."

      This model represents the expression A) 2.4 ÷ 6.

Answer:

The ratio of the length opposite to the side of the triangle whose angle is opposite to the length of the hyptoneuse.

Answer:

increase of 300%

Step-by-step explanation:

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-4)}}}\implies \cfrac{-6}{1+4}\implies -\cfrac{6}{5}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{6}{5}}(x-\stackrel{x_1}{(-4)}) \implies y-5=-\cfrac{6}{5}(x+4) \\\\\\ y-5=-\cfrac{6}{5}x-\cfrac{24}{5}\implies y=-\cfrac{6}{5}x-\cfrac{24}{5}+5\implies y=-\cfrac{6}{5}x+\cfrac{1}{5}[/tex]

Answer:

Angle B = 24°

Step-by-step explanation:

Given:

that means, Angle A = 5 ( Angle B + 7.2 )

Now,

Let Angle B = x (say)

•.• Angle A = 5 ( x + 7.2 )

Therefore, As it is given that the angles are supplementary , the sum of Angle A and Angle B will be equal to 180°.

Angle A + Angle B = 180°

[tex]⇢x + 5(x + 7.2) = 180[/tex]

[tex]⇢x + 5x + 36 = 180[/tex]

[tex]⇢6x = 180 - 36[/tex]

[tex]⇢6x = 144[/tex]

[tex]⇢x = \frac{144}{6} [/tex]

Now, substituting the value of x. . .

Thus, Angle B comes out 24°