Question 12 of 25
Given any triangle ABC labeled as shown, the law of sines states:
B

Answer:

fo(g(X)= 2/X +1.

Option C

Step-by-step explanation:

Hey there!

Given;

f(X) = x+1

g(x) = 2/X

Now, To find: (f o g(x))

[tex]fo(g(x)) = f(g(x))[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = f( \frac{2}{x} )[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{2}{x} + 1[/tex]

Therefore, fo(g(X)= 2/X +1.

Hope it helps...

Answer: 18b + 2

Step-by-step explanation:

Length: 2b + 4

Width: 7b + 2

I assumed the garden is a rectangle shape since the length and width are different.

Perimeter = 2( L + w)

Then we just plug the values in.

2 (2b + 4 + 7b + 2)

2 (9b + 6) = 18b + 12

So, the equation for the perimeter of Jimmy's garden will be 18b + 2.

Answer:

monomial

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer and Step-by-step explanation:

We are solving for x.

A)

Multiply each side by 5 to get x by itself.

x = 15

B)

Multiply each side by 2 to get x by itself.

x = 17

#teamtrees #WAP (Water And Plant)

Answer:

I think it's a but I'm not 100 percent sure but I'd say a

Answer:

40

Step-by-step explanation:

Answer:

A. 30800

B.39600

C. 17600

Step-by-step explanation: 0.12*$35000= 4200 35000-4200 = $30800

$45000*0.12=$5400 $45000-$5400= $39600

$20000*0.12=$2400 $20000-$2400= $17600

Answer: the answer is -3000 i meant

Step-by-step explanation:

Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart

Ralph ’s calculation is too high, as his calculation includes state taxes.

Given that Ralph's current annual income is $32,000, and he has calculated that he will have to pay a total of $9,280 in federal taxes this year, knowing that he has to pay 24% in federal taxes, to determine if his calculation is correct you must perform the following calculation:

Therefore, Ralph ’s calculation is too high, as his calculation includes state taxes.

Learn more about calculus in https://brainly.com/question/13204916

Answer:$52

Step-by-step explanation: I would first set up an equation. 9a=18 (a means attendees). Then, I would divide both sides by 9 to isolate the a. I would get a=2. So now I know that 1 attendee costs 2 dollars. If I want to find the cost for 26 attendees, all I would have to do is multiply both sides of the equation a=2 by 26. I would get 26a=52. So, 26 attendees cost $52. I hope this helps you out!

Answer:

200 minutes / 3 hours & 20 minutes.

Step-by-step explanation:

This is quite simple.

First, since we know that Lola takes two 20 minute breaks at work each day, let's multiply 20 and 2.

20 × 2 = 40

This means she is on break for a total of 40 minutes each day.

Finally, let's take that 40 and multiply it by 5.

40 × 5 = 200

This means she spend 200 minutes (3 hours & 20 mins) on break each week.

Answer:

y = -1/3x +2

Step-by-step explanation:

subtract -1/3x to the side of 2

Answer:

40%

Step-by-step explanation:

The first step is to calculate the unit selling price

= total sales/number of units

= 200,000/50,000

= $4

The unit variable expense can be calculated as follows.

= total variable expense/number of units

= 120,000/50,000

= $2.4

The contribution margin per unit can be calculated as follows

=selling price per unit- variable cost.

= $4-$2.4

= $1.6

Therefore the contribution margin ratio can be calculated as follows.

= $1.6/$4

= 0.4×100

= 40%

Answer:

x = 6

Step-by-step explanation:

Given

6( [tex]\frac{3x}{2}[/tex] - 4 ) = 30 ( divide both sides by 6 )

[tex]\frac{3x}{2}[/tex] - 4 = 5 ( add 4 to both sides )

[tex]\frac{3x}{2}[/tex] = 9 ( multiply both sides by 2 to clear the fraction )

3x = 18 ( divide both sides by 3 )

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex]6( \frac{3x}{2} - 4) = 30[/tex]

Dividing both the sides by 6 ,

[tex] = > \frac{6( \frac{3x}{2} - 4) }{6} = \frac{30}{6} [/tex]

[tex] = > \frac{3x}{2} - 4 = 5[/tex]

Adding 4 on both the sides ,

[tex] = > \frac{3x}{2} - 4 + 4 = 5 + 4[/tex]

[tex] = > \frac{3x}{2} = 9[/tex]

Multiplying both the sides by 2 ,

[tex] = > \frac{3x}{2} \times 2 = 9 \times 2[/tex]

[tex] = > 3x = 18[/tex]

Dividing both the sides by 3,

[tex] = > \frac{3x}{3} = \frac{18}{3} [/tex]

[tex] = > x = 6[/tex]

Answer:

The formula for the arithmetic sequence will be:

Step-by-step explanation:

Given

so

a₂ = a₁ +  d

    = -1 + (-7)          ∵ a₁ = -1

    = -1 - 7

     = -8

similarly,

a₃ = a₂ + d

     = -8 + (-7)

     = -8 - 7

      = -15

and so on

Thus, the Arithmetic sequence becomes

a₁, a₂, a₃, ...

-1, -8, -15, ...

as

Therefore, An arithmetic sequence has a constant difference d and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = -1 and d = -7

[tex]a_n=-7\left(n-1\right)-1[/tex]

[tex]a_n=-7n+6[/tex]

Hence, the formula for the arithmetic sequence will be:

Answer:

Step-by-step explanation:

If to lines are parallel then they could go on forever without touching at any given point.

Answer: D ( 7,3 7,6 7,9 7,12 7,15)

Step-by-step explanation:

A- (-4, 0, 7, 3, -7) There are no repeating domains, therefore, this is a function

B- (1, 3, 5, 7, 9) The domain does not repeat, therefore this is a function

C- (4, 8, 12, 16, 20) The domain does not repeat, therefore this is a function

D- (7, 7, 7, 7, 7) The entire domain repeats, therefore this cannot be a function

Correct answer is D ( 7,3 7,6 7,9 7,12 7,15)

Answer:

The correct option is;

C: 10.5 inches

Step-by-step explanation:

In triangle ΔPQR the given parameters are;

The length of [tex]\overline {QP}[/tex] = 19.5 in.

The length of [tex]\overline {QR}[/tex] = 7.5 in.

In triangle ΔVWX, the given parameters are;

The length of [tex]\overline {WV}[/tex] = 13 in.

The length of [tex]\overline {WX}[/tex] = 5 in.

The length of [tex]\overline {VX}[/tex] = 7 in.

Given that we have;

[tex]\dfrac{\overline {QP}}{\overline {WV}} = \dfrac{19.5}{13} = 1.5 , \ \dfrac{\overline {QR}}{\overline {WX}} = \dfrac{7.5}{5} = 1.5[/tex]

The ratio of the corresponding sides of triangle ΔPQR and triangle ΔVWX are equal, therefore ΔPQR is similar to ΔVWX, from which we have for the corresponding sides, [tex]\overline {PR}[/tex] and [tex]\overline {VX}[/tex];

[tex]\dfrac{\overline {PR}}{\overline {WV}} = \dfrac{\overline {PR}}{\overline {7}} = 1.5[/tex]

∴ [tex]\overline {PR}[/tex] = 7 × 1.5 = 10.5

The length of [tex]\overline {PR}[/tex] = 10.5 inches

Answer:

x = 6

Step-by-step explanation:

(In reference to my diagram.... my diagram is similar to the diagram in the question)

We know that diagonals of a square bisect each other at right angles.

In ΔBOC ,

•OB = OC (Diagonals of square bisect each other)

=> ∠OBC = ∠OCB = (7x + 3)°        (∵ OB = OC)

• ∠BOC = 90° (Diagonals intersect at right angles)

Using angle sum property of triangle ,

∠OBC + ∠OCB + ∠BOC = 90°

[tex] = > 7x + 3 + 7x + 3 + 90 = 180[/tex]

[tex] = > 14x + 6 = 180 - 90 = 90[/tex]

[tex] = > 14x = 90 - 6 = 84[/tex]

[tex] = > x = \frac{84}{14} = 6[/tex]

Answer:

There are 810 calories from carbohydrates

Step-by-step explanation:

carbohydrates: protein:  fat

9                       :5           :4                  

We want 450 calories from protein

450 /5 =90

Multiply each term by 90

carbohydrates: protein:  fat

9*90                  :5*90   :4*90

810                        450      360

There are 810 calories from carbohydrates

Answer:

810 calories are carbohydrates

Step-by-step explanation:

We know that the ratio 9:5:4 tells us that 18 equal amounts' of calories make up a meal. Now we know that 450 calories equals 5 of this parts (since protein is made out of 5 of this parts. Now we have to find out the amoung of calories in one of this 18 parts and multiply it by 9. So we do......

450 / 5 = 90

90 x 9 = 810

Answer:

y= 42

Step-by-step explanation:

angles in a triangle add up to 180

48+90=138

180-138= 42

(if you need the  value of x)

180-48=132

132/2=66

x=66

(value of z)

90+66=156

180-156=24

z=24

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As,

⇒

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

⇒

The length of AC is 34.1 units

Answer:

18.75 meters

Step-by-step explanation:

8.75 + 0.25(40) = 18.75