Use Inverse trig functions to solve for the missing angles
D
8.5
F
E
6.5

Answer:

Answer

Given equation is:

x

2

−9x+20=0

⇒x

2

−5x−4x+20=0

⇒(x−4)(x−5)=0

⇒x=4andx=5

k(×)×95=-0.75 sume k+95=***

g(x) is the function from the table which gives values that could come from the exponential function.

A relation is a function if it has only One y-value for each x-value.

We have to find the function from the table which gives values that could come from the exponential function.

The exponential function is a mathematical function denoted by .

As we observe the g(x) function.

When x =1, g(x)=2

x=2, g(x)=4

x=3, g(x)=8

g(x)=2ˣ is the required function which is in exponential form

Hence, g(x) is the function from the table which gives values that could come from the exponential function.

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Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

Answer:

4 and then 15

Step-by-step explanation:

second one: 6:4

last one: 15:10

Answer: 10 years

Step-by-step explanation:

1720=960(1+0.061/12)

Answer:

C=47.1

Step-by-step explanation:

take the diameter(15) and multiply it by pi(3.14).

15 x 3.14 = 47.1

Answer:

27

Step-by-step explanation:

a+b/2 times h

thats teh formula for the area of a trapezoid so a and b are the top and bottom sides of the trapezoid

so 6 on the bottom and 3 on the top

add those and it equals 9 then divide by 2 gives us 9/2

then the height would be 6

so we multiply 9/2 by 6 giving us 54/2

simplified equals 27 so ur answer would be 27 units squared

Answer:27

Step-by-step explanation:

Answer:

The answer for this question is 2,437.5 or rounded 2,438.

Step-by-step explanation:

5 goes into 19.5, 3.9 times to get that take 19.5÷5 to get 3.9. Then take 625×3.9 to get the total of 2,437.5 miles for your answer.

Answer:

Step-by-step explanation:

jhghgjhjgjjhgghghghgbhbjhbhvgjhgygyguygygyugglygygluyglygyggylgyugyygygygygygugyggyghjghgkygkhghgjkghhgghgghgggghghhghghghghghhgghghghghghghghgghghghghjhgjggjghghjgggghhhghggjkgkjghjjghkghjkggkghjggkhghgkhghkjghjghghjkgjhkgjhhjghgkhghgkjghjgjkhhjhhghgkjgghjj.

Given:

[tex]\dfrac{1}{4}\text{ to }\dfrac{1}{2}[/tex]

To find:

The percent of change, round to the nearest 10th of a percent.

Solution:

We have,

Initial value = [tex]\dfrac{1}{4}[/tex]

New value = [tex]\dfrac{1}{2}[/tex]

We know that, the percentage change is

[tex]\%\text{ change}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100[/tex]

Putting the given values, we get

[tex]\%\text{ change}=\dfrac{\dfrac{1}{2}-\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{2-1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=\dfrac{\dfrac{1}{4}}{\dfrac{1}{4}}\times 100[/tex]

[tex]\%\text{ change}=1\times 100[/tex]

[tex]\%\text{ change}=100\%[/tex]

Here, the % change is positive, it represents the percent increase.

Therefore, the percent of change is 100% of increase.

Answer:

0.48

Step-by-step explanation:

Given the data:

X:

10,17,20,23,24,28,32,39,42,25,26,52,55,58,61,65,66,72,75,78,79,85,94,97,98

Sum of each of the numbers :

1, 8, 2, 5, 6, 10, 6, 12, 6, 7, 8, 7, 20, 13, 7, 11, 12, 9, 12, 15, 16, 13, 13, 16, 17

Probability that sum of the number's digit is odd:

Number of odd sum / total numbers

Number of odd sum = 12

Total numbers = 25

12 / 25

= 0.48

Answer:

3.75•4=15 TL dir .......

Answer:Triangle Inequality Theorem

The Triangle Inequality theorem states that

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

The Converse of the Triangle Inequality theorem states that

It is not possible to construct a triangle from three line segments if any of them is longer than the sum of the other two.

The length of s is greater than 3 and less than 11

Step-by-step explanation:

Answer:

185

Step-by-step explanation:

Hope this helps

The solution to the given linear function at f(1) when calculated gives an output value of; 8

We are given the linear function represented by the equation;

f(x) = 7(x - 1) + 8

Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;

f(1) = 7(1 - 1) + 8

f(1) = 8

Thus, the solution is; f(1) = 8

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Answer:

16 percent is left

Step-by-step explanation:

20/100×80

Hope it helps!!

Answer:

86×4 = 344

4×4= 16

3×3= 9

Step-by-step explanation:

I hope it help

Answer: 344, 16, 9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because both points have -1 as X they are both located on the same line

This gives them no slope

Answer:

Find each measure. 9. NP. ANSWER: 14. 10. PS.

Step-by-step explanation:

The length of JQ is 18.79 unit.

According to the Pythagoras theorem, a triangle's hypotenuse square equals the sum of its other two sides' squares.

Given:

Q is the incenter of JLN

QP= QK= QM= 9 units

Now, In Δ JPQ

JP= 16.5, QP =9 , QP⊥ JP

So, JQ = √JP² + QP²

JQ= √16.5²+ 9 ²

JQ= 18.79 units

Hence, the length of JQ is 18.79 unit.

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Answer:

Step-by-step explanation:

c=180-123=57

b=180-123=57

d=180-57-55=68

a=180-68-57=55

a,b,c,d=55, 57, 57, 68 degrees

Answer: I use clickcaculators.com ;)

Step-by-step explanation:

Answer:

The present percentage of pure alcohol in the solution is 72.25% of pure alcohol

Step-by-step explanation:

The volume of pure alcohol poured from the 2 l bottle of pure alcohol = 300 ml of pure alcohol

The volume of water added into the bottle after pouring out the pure alcohol = 300 ml of water

The volume of diluted alcohol poured out of the bottle = 300 ml of diluted alcohol

The volume of water added into the bottle of diluted alcohol after pouring out the 300 ml of diluted alcohol = 300 ml of water

Step 1

After pouring the 300 ml of pure alcohol and adding 300 ml of water to the bottle, the percentage concentration, C%₁ is given as follows;

C%₁ = (Volume of pure alcohol)/(Total volume of the solution) × 100

The volume of pure alcohol in the bottle = 2 l - 300 ml = 1,700 ml

The total volume of the solution = The volume of pure alcohol in the bottle +  The volume of water added = 1,700 ml + 300 ml = 2,000 ml = 2 l

∴ C%₁ = (1,700 ml)/(2,000 ml) × 100 = 85% percent alcohol

Step 2

After pouring out 300 ml diluted alcohol from the 2,000 ml, 85% alcohol and adding 300 ml of water, we have;

Volume of 85% alcohol = 2,000 ml - 300 ml = 1,700 ml

The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol = 85/100 × 1,700 = 1,445 ml

The total volume of the diluted solution = The volume of the 85% alcohol in the solution + The volume of water added

∴ The total volume of the twice diluted solution = 1,700 ml + 300 ml = 2,000 ml

The present percentage of pure alcohol in the solution, C%₂ = (The volume of pure alcohol in the 1,700 ml, 85% diluted alcohol)/(The total volume of the diluted solution) × 100

∴ C%₂ = (1,445 ml)/(2,000 ml) × 100 = 72.25 %

The present percentage of pure alcohol in the solution, C%₂ = 72.25%

9514 1404 393

Answer:

  47.71

Step-by-step explanation:

Two "special" triangles are involved.

ΔSWR is a 30°-60°-90° right triangle, so will have sides in the ratio 1 : √3 : 2.

ΔUVW is a 45°-45°-90° right triangle so will have sides in the ratio 1 : 1 : √2.

For ΔSWR, the side SW is given as 6, so the other sides are ...

  WR = 6√3

  RS = 2(6) = 12

For ΔUVW, the side WU is given as 8, so the other sides are ...

  UV = VW = 8/√2 = 4√2

Then the perimeter of the figure is ...

  P = RS +ST +TU +UV +VW +WR

  P = 12 +8 +6 +4√2 +4√2 +6√3 ≈ 47.71

Pythagorean theorem:  [tex]a^{2} +b^{2} =c^{2}[/tex]

When rewritten for coordinates plane:

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

where d is distance and (x,y) are the points.

Write down the coordinates of Emma's house and The Pool.

It is (-5,-3) and (2,2).

Substitute the numbers.

[tex]d=\sqrt{(2-(-3))^{2}+(2-(-5))^{2}}[/tex]

Calculate.

[tex]d=\sqrt{(5)^{2}+(7)^{2}}[/tex]

You should get [tex]\sqrt{74}[/tex] as your answer.

Answer:

$3.996

Step-by-step explanation:

8%=0.08

49.95*0.08=3.996

Given:

A polynomial equation with rational coefficients has the roots   [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].

To find:

The two additional roots.

Solution:

According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.

It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.

By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.

Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].

Step-by-step explanation:

[tex]2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x = 6 \div 2 \\ x = 3[/tex]