solve the equation.
g - 16 = 8
g =

Answer:

γ = 97.77°

Step-by-step explanation:

A = 6.8

B = 8.4

C = 11.5

To find γ, apply the angle version of the Law of Cosines:

Cos γ = (A² + B² - C²)/(2AB)

Plug in the values

Cos γ = (6.8² + 8.4² - 11.5²)/(2*6.8*8.4)

Cos γ = -15.45/114.24

Cos γ = -0.1352

γ = Cos^{-1}(-0.1352)

γ = 97.77° (nearest hundredth)

Hello!

√7 - y = 6 <=>

<=> -y = 6 - √7 <=>

<=> y = -6 + √7 => √7 - (-6 + √7) = 6

Good luck! :)

Answer:

-29

Step-by-step explanation:

When you substitute 1 for  y  in the original equation, you get:

7−(1)−−−−−−√

=?

6

6–√

≠

6 So 1 is not a solution.

Answer:

[tex]\frac{1}{9}[/tex] feet³

Step-by-step explanation:

[tex]\frac{1}{3}[/tex]×[tex]\frac{2}{3}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{2}{18}[/tex]=[tex]\frac{1}{9}[/tex]

Answer:

V = 1/9 ft^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l = length, w = width, h = height

V = 1/3 * 2/3 * 1/2

V = 2/9*1/2

V = 1/9 ft^3

Answer:

[tex]\frac{4}{27}[/tex]

Step-by-step explanation:

simplify the terms on both sides;

12*18*n=32

n*216=32

n=32/216

simplified --> 4/27

you can check by plugging it back into the equation;

12*n*3*6=4*8

12*(4/27)*3*6=32

216*(4/27)=32

32=32

9514 1404 393

Answer:

  x = 64°

  y = 26°

Step-by-step explanation:

Angle x and 26° together make a right angle, so ...

  x = 90° -26° = 64°

Angles x and y together make a right angle, so ...

  y = 90° -(90° -26°) = 26°

9514 1404 393

Answer:

  25 (ft/s)

Step-by-step explanation:

The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.

The rate of change is ...

  rise/run = (25 ft)/(1 second) = 25 ft/second

Usually, we're just interested in the numerical value: 25.

_____

Additional comment

The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the slope of the line on the graph, not its value.

Answer:

When p=2 , q=-1

3q-2p

3(-1) - 2(2)

(3)-4

-1

When p=-3 , q=4

3(4)-2(-3)

(12 )-(-6)

=18

Answer:

21.2 in²

Step-by-step explanation:

The area of an equilateral triangle is given as :

Area, A = √3/4 * a²

Where, a = side length of the equilateral triangle

a = 7 inches ; Recall that all sides of an equilateral triangle are the same.

Put a = 7 in the equation :

A = √3/4 * a²

A = √3/4 * 7²

A = 0.4330127 * 49

A = 21.217 in²

Area, A = 21.2 in²

Answer:

25 cheeseburger

Step-by-step explanation:

I checked and get that 4 times fries as many as salad means that fries = 4 times Salad.

Brainliest please~

25 cheeseburgers were sold.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Let cheeseburger be x

Price of x = 6

Let French Fries be y

Price of y = 3

Let salads be z

Price of z=8

x+ y+ z =220

6x + 3y + 8z = 1070

4 y = z     4 times as many as

= 4 times  - Fries is more than Salad

Substitute 3 in 1

x + 4 z + z =220

x+5z =220

Substitute 3 in 2

6x + 12z +8z = 1070

6x + 20z = 1070

3x + 10z - 535

From 4: x=220-5z

Substitute into 3 (220-5z) +10z = 535

660 - 15z+10z=535

- 5z = - 125

z = 25

To learn more about algebraic expressions refer to:

https://brainly.com/question/19864285

#SPJ2

Answer:

$11.22

Step-by-step explanation:

100% = 187

1% = 187/100 = $1.87

6% = 1%×6 = 1.87×6 = $11.22

Answer:

In this case, you need to calculate the 6% of the price, which is 187 $.

We only need to multiply the price (187) by the percentage (6%):

187 * 0.06 = 11.22

So the tax would be $11.22

Answer: 7118

Step-by-step explanation:

Given

Birth rate is [tex]b(t)=2000e^{0.023t}[/tex]

Death rate is [tex]d(t)=1410e^{0.017t}[/tex]

Area between them is given by

[tex]\Rightarrow A=\int _0^{10}2000e^{0.023t}-1410e^{0.017t}dt\\\Rightarrow A=\int _0^{10}2000e^{0.023t}dt-\int _0^{10}1410e^{0.017t}dt\\\Rightarrow A=22486.95652 -15368.99999\\\Rightarrow A=7117.95652[/tex]

Thus, the area between the curves is [tex]7117.95652\approx 7118[/tex]

9514 1404 393

Answer:

  (b)  112.2 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

For the given geometry, this becomes ...

  tan(65°) = (height above eye level)/(50 ft)

Then we have ...

  (height above eye level) = (50 ft)tan(65°) = 107.2 ft

Adding the height of eye level will give us the height of the building.

  building height = (eye level height) + (height above eye level)

  building height = (5 ft) + (107.2 ft)

  building height = 112.2 ft

Answer:

option B

Step-by-step explanation:

option B

gdyfudjfjghfhguftduc

Answer:

{20}, {40}, {20,40}, { }

Answer:

The probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.

Step-by-step explanation:

We are given that

[tex]Mean,\mu=0[/tex] degree C

Standard deviation, [tex]\sigma=1[/tex] degree C

We have to find the probability of the reading between -1.42 and 1.61.

[tex]P(-1.42<x<1.61)=P(\frac{-1.42-0}{1}<\frac{x-\mu}{\sigma}<\frac{1.61-0}{1})[/tex]

[tex]P(-1.42<x<1.61)=P(-1.42<Z<1.61)[/tex]

[tex]P(-1.42<x<1.61)=P(Z<1.61)-P(Z<-1.42)[/tex]

Using the formula

[tex]P(a<z<b)=P(z<b)-P(z<a)[/tex]

[tex]P(-1.42<x<1.61)=0.94630-0.07780[/tex]

[tex]P(-1.42<x<1.61)=0.8685[/tex]

Hence, the probability of getting a reading between -1.42 degree C and 1.61 degree C is 0.8685.

9514 1404 393

Answer:

  (c) 16°

Step-by-step explanation:

The external angle at P is half the difference of the intercepted arcs:

  P = (90° -58°)/2 = 32°/2

  P = 16°

Answer:

53%

Step-by-step explanation:

says it in the question lol

Answer:

answer is 3 and ratio of two different numbers

Answer:

Step-by-step explanation:

Or

Answer:

The volume of water is 396 cubic meter.

Step-by-step explanation:

Area of water, A = 132000 square meter

Height, h = 3 mm = 0.003 m

The volume of water is given by

V = Area x height

V = 132000 x 0.003

V = 396 cubic meter.

Answer:

(52.30 ; 52.62)

Step-by-step explanation:

Given :

Sample size, n = 20

Mean, xbar = 52.46

Standard deviation, s = 0.42

We assume a t - distribution

The 90% confidence interval

The confidence interval relation :

C.I = xbar ± Tcritical * s/√n

To obtain the Tcritical value :

Degree of freedom, df = n - 1 ; 20 - 1 = 19 ; α = (1 - 0.90) /2 = 0.1/2 = 0.05

Using the T-distribution table, Tcritical = 1.729

We now have :

C.I = 52.46 ± (1.729 * 0.42/√20)

C. I = 52.46 ± 0.1624

C.I = (52.30 ; 52.62)

Answer:

m∠y=41

m∠x=90

Step-by-step explanation:

It is an isosceles triangle, so m∠B=49 too

49+49=98

180-98=82

82÷2=41

m∠y=41

41+49=90

180-90=90

m∠x=90

Look at one side of the triangle. It forms a right triangle with 45 degree angles.

A 45 degree triangle the base and height are the same, so the height would also be 26.

The hypotenuse(x) of a 45 degree right triangle is the side length time the sqrt(2)

The answer is: 26 sqrt(2)

Answer:

5x^2(2-3x)

(n+4)(x+y)

Step-by-step explanation:

Your answer is in the attachment..

Hope the answer helps you..

.

.

Select it as the BRAINLIEST..

Answer:

38. skipping by 3s

14, 17, 20, 23, 26, 29, 32, 35, 38

Answer: B

Step-by-step explanation:

The function is [tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex] . Option B is correct.

Function is a type of relation, or rule, that maps one input to specific single output.

The value of the given function approaches -∞ as x approaches -∞ is,

[tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex]

The function is showing the approach of the function in the x-y plane.

Hence, the function is [tex]f(x) = \dfrac{2 x - 35}{x^{2} + 2x - 35}[/tex] . Option B is correct.

To know more about functions follow;

brainly.com/question/2833285

#SPJ2

Answer:

1)a

the problem asks"what PERCENT of 5 is 4?"

2)part

it gives both the percent and the whole, so your left with the part

3)Whole

4 is a part which is 80%

Step-by-step explanation:

Following are the responses to the given points:

For point a:

[tex]Diameter\ (d)= 16\ m\\\\[/tex]

Calculating the 3 rotations for every minute:

Calculating time for completing 1 rotation:

[tex]1\ rotation=\frac{60}{3}= 20\ second\\\\period=20 \ second\\\\[/tex]

The standard form of the equation of the sine and cosine function is:

[tex]y=A \sin \{ B(x-c)\} +D\\\\y=A \cos \{ B(x-c)\} +D\\\\[/tex]

Calculating the Amplitue:

[tex]A=\frac{max-min}{2}=\frac{17-1}{2}=\frac{16}{2}=8\\\\Period=\frac{2\pi}{B}\\\\20=\frac{2\pi}{B}\\\\B=\frac{2\pi}{20}\\\\B=\frac{\pi}{10}\\\\[/tex]

Calculating the phase shift:

for [tex]\sin[/tex] function: [tex]c=5[/tex]

for [tex]\cos[/tex] function: [tex]c=10[/tex]

Calculating the vertical shift:

[tex]\to D=\frac{max+ min }{2}=\frac{17+ 1}{2}=\frac{18}{2}=9\\\\y=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\y=8 \cos \{ \frac{\pi}{10}(t-10)\} +9\\\\[/tex]

For point b:

[tex]y> 12\ m\\\\12=8 \sin \{ \frac{\pi}{10}(t-5)\} +9\\\\12-9=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\3=8 \sin \{ \frac{\pi}{10}(t-5)\} \\\\\frac{3}{8}=\sin \{ \frac{\pi}{10}(t-5)\} \\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (0.38439677)=(t-5) \\\\1.22357+5=t \\\\t=6.22357\ second\\\\t=6.22\ second\\\\\sin^{-1}\frac{3}{8}=\frac{\pi}{10}(t-5) \\\\\frac{\pi}{10} (2.7571961)=(t-5) \\\\t=8.7764+5\\\\t=13.78\ second\\\\t_2-t_1=13.7764-6.22357= 7.55283\approx 7.55\ second \\\\[/tex]

Learn more:

Rotation: brainly.in/question/39626227

Answer:

= 14w + 6

Step-by-step explanation:

= 12w + 2w + 6

Add similar elements: 12w + 2w = 14w

= 14w + 6