(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

[tex]tan(68)=\frac{x}{20}[/tex]

Now we solve

* multiply each side by 20 *

[tex]20tan(68) = 49.5\\\frac{x}{20} 20=x\\[/tex]

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

[tex]tan(62)=\frac{16}{x} \\[/tex]

*multiply each side by x*

[tex]xtan(62)=16[/tex]

*divide each side by tan(62)

[tex]\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5[/tex]

we're left with x = 6.5

For 14)

[tex]tan(15)=\frac{12}{x}[/tex]

multiply each side by x

[tex]xtan(15)=12[/tex]

divide each side by tan15

[tex]\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8[/tex]

we're left with x = 44.8

For 15)

[tex]tan(74)=\frac{16}{x}[/tex]

multiply each side by x

[tex]xtan(74)=16[/tex]

divide each side by tan(74)

[tex]\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6[/tex]

we're left with x = 4.6

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Answer:

4th

Step-by-step explanation:

string length is 0.5m and the wavelengths are 0.25meters. This tells us there are two complete waves in the guitar string. This gives us a total of four antinodes; thus we are in the fourth harmonic.

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

r = 4units

Step-by-step explanation:

The standard foem of equation of a line is expressed as;

(x-a)² + (y-b)² = r²

r is the radius

Compare with the given equation (x - 2)^2 + (y + 1)^2 = 16

r² = 16

r = √16

r = 4

Hence the radius of the circle is 4

Answer:

72 is equal to 2 yards.

Explanation:

There are 36 inches in one yard.

(another way to look at this is there are 3 feet in one yard, each feet is 12 inches. So, 12 multiplied by 3 is equal to 36 inches, or one yard)

Then, since in this question we are finding out in relation to 2 yards, add 36 inches + 36 inches, and that is equal to 72 inches.

72 and 72 are equal :)

Answer:

4

Step-by-step explanation:

-18, -15, -10, -5, 4, 5, 5, 11, 14

There are 9 terms. So the one in the middle is the median.

-18, -15, -10, -5, 4, 5, 5, 11, 14

 1      2    3   4   5  6  7  8  9

So 4 is the median.

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hope it helps

Answer:

If a city of population 10,000 experience 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate? The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent.

Step-by-step explanation:

Answer: it should be 565.5

Step-by-step explanation:

Answer: the volume would be 565.49 rounded 565.5

Step-by-step explanation:

trust i plugged it into a cylinder calculator

Answer:

s=2

Step-by-step explanation:

6=3s

6/3=3s/3 divide both sides by 3

2=s

Answer:

Sorry. What's the question?

Answer:

12:6, 9:45

Step-by-step explanation:

Ratios I think you are asking

Answer:

As a fraction 1/1000 and as a decimal 0.001

Answer: (b)

Step-by-step explanation:

Given

[tex]\left | p\right |=\dfrac{2}{5}x+2[/tex]

[tex]\left | q\right |=\dfrac{-3}{4}x-1[/tex]

[tex]\left | p+q\right |=2x+4[/tex]

for two complex number, [tex]z_1,z_2[/tex]

[tex]\left | z_1+z_2\right |\leq \left | z_1\right |+\left | z_2\right |[/tex]

Apply the above the property

[tex]\Rightarrow 2x+4\leq \dfrac{2}{5}x+2-\dfrac{3}{4}x-1\\\\\Rightarrow 2x+4\leq \dfrac{8x-15x}{20}+1\\\\\Rightarrow 2x+3\leq -\dfrac{7x}{20}\\\Rightarrow x\leq -\dfrac{60}{47}[/tex]

Also, the absolute value of each complex number must be greater than or equal to zero

[tex]\text{Case-1}\\\\\Rightarrow \dfrac{2}{5}x+2\geq 0\\\\\Rightarrow x\geq -5\\\\\text{Case-2}\\\\\Rightarrow -\dfrac{3}{4}x-1\geq 0\\\\\Rightarrow x\leq -\dfrac{4}{3}\\\\\text{Case-3}\\\\\Rightarrow 2x+4\geq 0\\\Rightarrow x\geq -2[/tex]

Taking the intersection of the above values of x, we get

[tex]x\in [-2,-\dfrac{4}{3}][/tex]  

Step-by-step explanation:

using this

t_n = a+ (n-1)d

Answer:

The area of each figure is:

Step-by-step explanation:

To find the area of that figure, first, we're gonna find the area of the rectangle and next the area of the triangle, to make this we need to identify the measurement of each one, the rectangle has 2 units wide and 5 units high, then, we use the next formula:

Now, we identify the measurements of the triangle (base = 4 units, height = 5 units) and we use the formula:

And we obtain the area of the whole figure when we add the two areas:

As you can see, the area of the picture is 20 square units.

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer:

B.6 points

Step-by-step explanation:

First you can see that one is bigger and taller and if you count on the number line it will be 18, and 18 has 6 dots so it is B which says 6 dots.

Answer: x<=24

Step-by-step explanation:

Data: x/4<=6 and to find the answer, we have to find(Isolate) x

x/4(4)<=6(4) which is x<=24

Since we have found x, we have our answer which is x<=24

I hope this helps!

Answer:

4 white horses.

Step-by-step explanation:

First, you need to find the total of the first set of horses (basically how many total were in the table).

~ 3+2+9+1 = 15

Next we need to find how many horses were white horses out of these 15 horses. In short the proportion would be White Horses/Total Horses.

~  [tex]\frac{3}{15}[/tex] (or  [tex]\frac{1}{5}[/tex], simplified)

Now, all we need to do is create the proportion with 20 as the denominator (in this case, 20 will be the total horses, and we just need to find X, or how many horses are expected to be white out of all of those horses). The proportion will look somewhat like this:

~  [tex]\frac{1}{5}[/tex] = [tex]\frac{x}{20}[/tex]

The final step is to multiply across (1x20) then divide that number by the 5 to find X.

~ 20÷5 = 4

Anyways, that means it would be expected to have 4 white horses out of 20 total. Hope this helped ^-^

Answer:

65 i did it quick, i might be wrong

Step-by-step explanation:

bh/2

10*39/3

390/3

130/2=65

Answer:

Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle

Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)

LA = 15m² + 216m² + 108m²

LA = 339 m²

SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)

SA = 15m² + 216m² + 108m² + 180 m²

SA = 519 m²

Answer:

49

Step-by-step explanation:

Answer:

Definitely not the 2nd one. I think it is the first one, the 3rd one looks more like a 45, 45, 90

Answer:

17(x-2)

Step-by-step explanation:

Given the expression

17x - 34

We are to factorize it

Get their factors

17x = 17 * x

34 = 17 * 2

Since 17 is common to both factors, hence 17 is the GCF

17x - 34 = 17(x - 2)

Hence the equivalent expression is 17(x-2)

Answer:

The volume would be 86.63 feet squared

Hope this helps!

Mark me brainliest if I'm right :)

Answer:

Step-by-step explanation:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.

Answer:

B

Step-by-step explanation:

a biconditional is if and only if

Answer:

cost price of a table=$9000

profit%=20%

Let profit be x

to find profit use formula,

profit%=profit/cost price*100

20%=x/$9000*100

20*$9000=100x

$180000/100=x

$1800=x

Now to find selling prie os a table use formula,

cost price +profit

$9000+$1800

$91800

therefore selling price of a table is $91800

Step-by-step explanation:

Hope this helps u!!