Which of the following equations can be used to find the missing angle, x, in the triangle below?

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

Answer:

x = 12

Step-by-step explanation:

A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:

(4x - 24) + 4(2x - 3) = 180

4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))

12x - 36 = 180

12x = 144

x = 12, -12

Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.

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Explanation:

Each side of the square is the same, so we have length = width in this case.

Length = 3m^4

Width = 3m^4

Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8

Note how m^4*m^4 leads to m^8. We add the exponents.

The general rule is a^b*a^c = a^(b+c).

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

Answer:

A. The others are equivalent to 7/8

Answer: 21 m

Step-by-step explanation:

Given

the angle of depression of point G is [tex]25^{\circ}[/tex]

Distance from pole base to point G is 45 m

Suppose h is the height of the pole

From the figure, we can write

[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]

Answer:

1/64

Step-by-step explanation:

Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.

In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078,  less than 0.100 but not the first number.

The correct value for n is 9 that will give us 2-4=1/16

253.508 is 0.01 more than 253.498.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

Let the number be x

so,

x=253.498+0.01

x= 253.508

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Answer:

3 - 21m

Step-by-step explanation:

-4 + 7(1-3m)

-4 + 7 - 21m

3 - 21m

Answer:

A. contract

Step-by-step explanation:

Answer:

6/35

Step-by-step explanation:

3/7 : 2 1/2

2 1/2 = (2*2+1) / 2 = 5/2

3/7 : 5/2 = 3/7 * 2/5 = (3*2) / (7*5) = 6/35

Answer:

-5

Step-by-step explanation:

4x+12 is less than or equal to -8 so subtract 12 from -8 and get -20 so 4x is less than or equal to -20 then divide -20 by 4 and get -5

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Answer:

NOT 24/25 and NOT -4/5

Step-by-step explanation:

took the quiz

If cos(x) = 3/5 and sin x < 0, sin(2x) is equal to -24/25 as a fraction in simplest terms.

To find sin(2x), we can use the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

Given:

cos(x) = 3/5

sin(x) < 0

We need to determine sin(x) based on the given information.

Using the Pythagorean identity, sin^2(x) + cos^2(x) = 1:

[tex](sin(x))^2 + (cos(x))^2 = 1\\(sin(x))^2 + (3/5)^2 = 1\\(sin(x))^2 + 9/25 = 1\\(sin(x))^2 = 1 - 9/25\\(sin(x))^2 = 16/25[/tex]

sin(x) = -4/5

Now we can  the values into the double-angle formula for sine:

sin(2x) = 2 * sin(x) * cos(x)

sin(2x) = 2 * (-4/5) * (3/5)

sin(2x) = (-8/5) * (3/5)

sin(2x) = -24/25

Therefore, sin(2x) is equal to -24/25 as a fraction in simplest terms.

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Answer:

the recital lasted 4 hours and 17 minutes

Answer:

4 hours 17 minutes

Step-by-step explanation:

5.34-1.17

X in (-oo:+oo)

X^2 = 1/100 // - 1/100

X^2-(1/100) = 0

X^2-1/100 = 0

1*X^2 = 1/100 // : 1

X^2 = 1/100

X^2 = 1/100 // ^ 1/2

abs(X) = 1/10

X = 1/10 or X = -1/10

X in { 1/10, -1/10 }

Answer:

D

Answer:

I think it

[tex]X1 = 1.333\\X2 = 1\\\\[/tex]

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

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Answer:

3245$  (im assuming the interest is yearly)

Step-by-step explanation:

using the is/of method

3%       x

___    ___  cross mult and divide. = 82.5 interest x 6 years of it  

100   2750

2750 + 495

Answer:

a) $1961

b) $710

c) $2671

Step-by-step explanation:

Bi-weekly mortgage & taxes: 718/2 weeks = 2 x 718 = $1436/month

Condo fees: $525/month

Electricity bill bi-monthly $320/2 weeks = 2 x 320 = $640/month

Water bill is quarterly, so 210/3 months. 210/3 = $70/month

a) housing expenses = mortgage, taxes, condo fees

1436 + 525 = $1961

b) utilities = electricity and water

640 + 70 = $710

c) all expenses listed

1961 + 710 = $2671

Answer:

I want to say B or D please tell me if I'm right lol

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

false

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

12=100+0.3x

-100  -100                        subtract 100 both side

-88=0.3x                 divide -88 into 0.3

x=-293.3

Answer:

try just 10. without the (-)