Given the functions f(x) = x² – 8 and g(x) = 4-x, determine the equation for the combined function
y=f(x) - g(x).

Answer:

D. m= 60, n= 24

Step-by-step explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you

Answer:

x = 44

y = 22

Step-by-step explanation:

✔️Find x:

Reference angle = 60°

Hypotenuse = x

Opposite side length = 22√3

Applying the trigonometric FUNCTION, SOH, we have:

Sin 60 = opp/hyp

Sin 60 = (22√3)/x

x × Sin 60 = 22√3

x = (22√3)/Sin 60

x = (22√3)/(√3/2) (sin 60 = √3/2)

x = 22√3 × 2/√3

x = (22√3 × 2) / √3

x = (44√3) / √3

x = 44

✔️Find y:

Reference angle = 60°

Hypotenuse = x = 44

Adjacent length = y

Applying CAH, we have:

Cos 60 = adj/hyp

Cos 60 = y/44

44 × Cos 60 = y

44 × ½ = y (cos 60 = ½)

22 = y

y = 22

Answer:

x=44,y=22

Step-by-step explanation:

sin 60=22√3/x

x=22√3/sin60=44

sin30=y/x

y=sin30×44=22

Answer:

can u plz make a good picture to solve I can't see good

Step-by-step explanation:

and thanks

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

Answer:

288 cm^2

Step-by-step explanation:

Area of Triangle: 1/2bh

1/2(36)(16)

1/2(576)

288

216 is the real answer i took the test.

Answer:

Step-by-step explanation:

https://d1avenlh0i1xmr.cloudfront.net/large/53ca8d0d-

Answer:

20 kriti and 40 Kiran rupees

Answer:

D and E

Step-by-step explanation:

Answer: d and e!

Step-by-step explanation:

:)

Answer:

c = 3.3 cm

Step-by-step explanation:

A = 180 - (95 + 45) = 40° (sum of triangle)

a = 3.0 cm

C = 45°

c = ?

Applying the Law of Sines, we have:

[tex] \frac{Sin(40)}{3} = \frac{Sin(45)}{c} [/tex]

Cross multiply

[tex] Sin(40)*c = Sin(45)*3 [/tex]

Divide both sides by sin(40)

[tex] c = \frac{Sin(45)*3}{sin(40)} [/tex]

c = 3.3001886 ≈ 3.3 cm (nearest tenth)

Answer:

The value of x is 8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

we need to same denominator. 3/4 is equal to 6/8

1/8+6/8 is 7/8.

Answer:

7/8 or 0.875

Step-by-step explanation:

1/8 + 3/4=?  

The Least Common Multiple (LCM) of 8 and 4 is 8. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

1/8 + 3/4= 1/8 + 3 x 2 = 1/8 + 6/8

                         4 x 2

Now that the fractions have like denominators, add the numerators:

1/8  + 6/8 = 1+6 = 7/8

                    8

Answer:

8 times 10^9

Step-by-step explanation:

hope it helps

Answer:

0 is an integer and a whole number

Answer:

[tex]\sqrt[3]{64} = 4[/tex] [tex]\sqrt{64} = 8[/tex]

Step-by-step explanation:

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

Answer:

The answer is 60°

Step-by-step explanation:

From looking at the problem we know that mZAOB and mZBOC make up angle mZAOC.

We also know that mZAOC is 104°

This means that the two other angles have to make up 104°

To figure out mZBOC,

First, you can subtract 30 and 42 from 104.

We do this because it allows us to focus on the variables.

104-30-42=32

Next, we can look at the variables and the coefficients and see that in order for 7x and 9x to make 32, x has to equal 2.

7(2)+9(2)=32

Now that we know what x equals we can substitute it into the equation for mZBOC.

9x + 42°

9(2) + 42°

60°

Thus, mZBOC equals 60°

Answer:

20, 1/4 pound pieces of butter

Step-by-step explanation:

1/4*4= 1 pound

so,

4*5=20

:)

Answer:The Answer is C

Step-by-step explanation:

The value of the constant in the equation below is 100. So, the correct option is (C).

Height also known as elevation is defined as the vertical distance either between the top and bottom of something or between a base and something above it. It refers to something measured vertically high or low.

Height is body measurement usually measured in feet (feet) + inch (in) and centimeter (cm) where these are length measurements, so the SI unit will be meter.

Height equation: H= C/W

where, H is the height, C is the constant and W is the width.

We choose a point given in the graphic, I will choose (4,25), which means that when W=4  and H=25 . We use this to find the constant. So

25=C/3

C= 100

Thus, the value of the constant in the equation below is 100. So, the correct option is (C).

Learn more about Constant, here:

https://brainly.com/question/9994821

#SPJ5

Answer:

Step-by-step explanation:

y = 85x+90

3) 85*3+90 (rule)

y= 85*3 = 255 + 90 = 345  (output)

4) 85*4+90 (rule)

y = 85*4=  340 + 90 = 430 (output)

Answer:

the maximum amount of people would be 288, 500 and the minimum would be 271,500

Step-by-step explanation:

basically if the average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum

There could be up to 288.500 persons present, with a minimum of 271,500.

Mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

The average number is 280,000 all we have to do is add and subtract 8,500 to find the maximum and minimum.

Maximum = 2800000 + 8500 = 288,500

Minimum = 271,500 - 8500 = 263000

Therefore, there could be up to 288.500 persons present, with a minimum of 271,500.

To know more about an expression follow

https://brainly.com/question/15119280

#SPJ2

Answer: $0.35/ounce

Step-by-step explanation: Since there are 6 ounces, you measure the unit cost in ounces, and since there is 6 you divided 6 by 210 = 35. We convert back to money and get $0.35 an ounce.

Answer:

v = 0.0229 km/h

Step-by-step explanation:

Given that,

Distance, d = 68,732 milometers = 0.0687 km

Time, t = 3 hours

We need to find the speed of the rocket. The speed of an object is given by :

[tex]v=\dfrac{d}{t}\\\\v=\dfrac{0.0687}{3}[/tex]

v = 0.0229 km/h

So, the speed of the rocket is 0.0229 km/h.

Answer:

LR = 13

Step-by-step explanation:

LAR is a right triangle and if two sides are known you can you use the pythagorean theorem to find the missing side

LA = 5

AR = 12

5² + 12² = LR²

LR² = 25 + 144

LR² = 169

LR = √169 = 13

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

9514 1404 393

Answer:

  99°

Step-by-step explanation:

If we assume that angles 5 and 7 are vertical angles, they are congruent:

  10x -9 = 9x

  x = 9 . . . . . . . add 9-9x

Then angles 5 and 7 are ...

  (10·9 -9)° = 9·9° = 81°

Angle 6 will be the supplement to this.

  angle 6 = 180° -81°

  angle 6 = 99°

Answer:

the answer is not 99

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

took the same test 1 week ago

Answer:

110 words

Step-by-step explanation:

What we know:

- Snigdha can type 550 words in 30 minutes

1) Find how many words they can type in 1 minute

To do this, divide 550 words by 30 minutes:

550÷30=18.3333... words

Therefore, Snigdha can type approximately 18 words in one minute.

2) Multiply 18 words by 6 minutes

18.3333...×6=110

Therefore, Snigdha can type 110 words in 6 minutes.

I hope this helps!

Answer:

1.3 m²

Step-by-step explanation:

The shape is a trapezoid.

Area of a trapezoid = ½(a + b)*h

Where, a = 0.8 m

b = 1.8 m

h = height of the trapezoid which is not given.

Therefore, find h using trigonometric function with 45° as reference angle:

Hypotenuse = 1.4 m

Opposite = h

Apply SOH, which is:

Sin 45 = Opp/Hyp

Sin 45 = h/1.4

1.4*Sin 45 = h

0.989949493 = h

h ≈ 1.0 m

✔️Area of Trapezoid = ½(0.8 + 1.8)*1 = 1.3 m²

Answer:

37°C

Step-by-step explanation:

The normal body temperature of a human is 98°F. To convert it into Celsius we know the realtion between Celsius and Farenheight as ,

➳ C/5 = F -32/9

➳ C/5 = 98 - 32/9

➳ C/5 = 66/9

➳ C = 66/9 × 5

➳ C = 36.66 °C ≈ 37°C

Answer:

£50 ; £7.50

Step-by-step explanation:

Given that:

Discount on sale, d = 15%

Amount paid = £42.50

Hence the relation to obtain the amount paid goes thus ;

Amount paid = (1 - d) * original amount

Let original amount = x

42.50 = (1 - 0.15)x

42.50 = 0.85x

x = 42.50 / 0.85

x = £50

Amount saved :

£(50 - 42.50) = £7.50