Find the solutions for a triangle with a = 16, c =12, and B = 63º.

a. A = 71.6°; C = 52.89; b =12.0

C. A = 68.6° C = 45.40; b=12.0

b. A = 71.6°; C = 45.40; b =15.0

d. A = 68.6°; C = 52.89; b=15.0

Answer:

1) 8^4

2) 3^12

3)8^6

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]1)\frac{8^{6}}{8^{2}}=8^{6-2}=8^{4}\\\\2)3^{2}*3^{4}*3^{6} = 3^{2+4+6}=3^{12}\\\\3)\frac{8^{-4}}{8^{-10}}=8^{-4+10}=8^{6}[/tex]

Answer:

The relationship that exist between the altitude and the atmospheric density is an inverse relationship.

[tex]D = \frac{k}{1291} kg/m^3[/tex]

Step-by-step explanation:

since the density of the atmosphere decreases as the altitude increases, the relationship that exist between the altitude and the atmospheric density is an inverse relationship. This can be represented by:

[tex]D = \frac{k}{H}[/tex], where k is the constant, H is the altitude in meters and D is the atmospheric density in kg/m.³

When the altitude is 1.291 km, i.e H = 1.291 km = 1291 m,the atmospheric density D is:

[tex]D = \frac{k}{1291} kg/m^3[/tex]

Answers:

a) 6km/hour

b) 10 minutes

Step-by-step explanation:

a) after 30 minutes, Jo had walked 3km which means that after 1 hour

(30mins x 2), Jo would have walked 6km (3km x 2).

∴ Jo walks 6km/hour for the first 30 minutes

b) after 30 minutes, there is a flat line on the graph that stretches from 30 minutes to 40 minutes. The flat line indicates that Jo covered NO distance and was therefore taking a break. from 30 mins to 40 mins is 10 mins

∴ Jo's rest was 10 mins long

Hope this helps :-)

Answer:

D) $1,209.00

The maximum FUTA deductions for the first quarter = $1,209.00

Step-by-step explanation:

The Federal Unemployment Tax Act (FUTA) is a tax which employers who pay their employees must pay in order to fund the state unemployment agencies. This tax is only payable on the first $1,500 to $7,000 on each emoloyees wage in a single quarter.

The FUTA current rate is 6.2%

Given that,

Employee 1 earned $5,500 in quarter 1.

Employee 2 earned $7,500 in quarter 1.

Employee 3 earned $8,000 in quarter 1.

Employee 2 and employee 3 would only be charged for their first $7,000 since they earned more than $7,000.

Therefore, the maximum FUTA deductions for the first quarter would be calculated as:

(0.062 * 5,500)+(0.062 * 7,000) + (0.062 * 7,000)

= $341 + $434 + $434

= $1,209

The maximum FUTA deductions for the first quarter = $1,209.00

It factors to (x+12)(x-12)

This is the same as (x-12)(x+12) as we can multiply two expressions in any order we want. This is like saying 7*5 is the same as 5*7

I used the difference of squares rule to factor x^2 - 144. It might help to write x^2 - 144 as x^2 - 12^2, then compare it to a^2 - b^2 = (a-b)(a+b)

a block of (1/3) x 1 x 1, has a volume of, just that product, namely 1/3.

a Unit Cube, has all sides of 1 unit, thus called the Unit cube, and has a volume of 1*1*1 = 1³ = 1.

so, how many times does the volume of 1/3 go into 1?

recall there are three thirds in a whole, so 1/3 + 1/3 + 1/3 = 1, 3 times

Answer:

Find the volumes and divide for the answer

1 x 1 x 1/3 = 1/3

1 x 1 x 1 = 1

1 / 1/3

1/1 x 3/1 = 3

3 blocks

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

SI = (PRT)/100

SI = Simple Interest

P = Principal

R = Rate ( in decimal form)

T = Time

SI = (1200 x .5 x 1)/100

SI = 6000 / 100

SI = 60

Answer:

A. 15.6

Step-by-step explanation:

tan(32)*25

Answer:

416 centigrams

Step-by-step explanation:

2500 = 6w + 4

2496 = 6w

416 = w

Answer:s

Step-by-step explanation:nevermind I'm bumb

Answer:

The solution set for [tex]s<3[/tex] would be (-∞,3)

The solution set for [tex]|s|<3[/tex] would be (-3,3)

Step-by-step explanation:

The solution set for [tex]s<3[/tex] can be any number that is lower than 3.

When we have the inequality  [tex]|s|<3[/tex], we need to rewrite this without the absolute values to find our answer

[tex]|s|<3[/tex]

[tex]s<[/tex] ± [tex]3[/tex]

This can be be split into [tex]s<3, s<-3[/tex]

But, there one thing that needs to be done to the inequality with the-3. As we multiplied it by a -1 to make it negative, we must reverse the sign of the inequality. This leaves us with [tex]s<3, s>-3[/tex]

Now, we can combine these to get one inequality

[tex]-3<s<3[/tex]

Answer:

2

Step-by-step explanation:

To solve this equation I used the quadratic formula.

1. Place the units into the following formula. -b+-sqrtb^2-4ac

                                                                                  2a

2. After placing the units into the formula it should be -1+-sqrt1+24

                                                                                                   2

3. This should leave you with two possible answers -3 and 2 after solving it. The answer can not be negative of course cause there is no such thing as a negative time. So the answer has to be 2.

Answer:

36 cm

Step-by-step explanation:

A = b1 + b2 x h / 1/2

A = 12 + 6 x 4 / 1/2

Answer:

In your question if Becca uses 3/4 cup of flour to her biscuit, she uses 2/3 tablespoon of salt and the batch of biscuit that she made uses 3 cup of flours. In finding how much tablespoon of salt use in a 3 cups of flour, you must first find the total cup of flour which 4 and the possible total table spoon of salt is 3. So by calculating the answer is 2 and 2/3 tablespoon of salt

Answer:

B. Dan walked uphill, then downhill.

Step-by-step explanation:

The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!

Answer:

162

Step-by-step explanation:

1.8x10= 18

18x9=162

Answer:

12 pounds

Step-by-step explanation:

It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, UPS charges $6.00 for the first pound, $1.00 for the second pound, and $0.15 for each additional pound. FedEx charges $4.00 for the first pound, $2.00 for the second pound, and $0.25 for each additional pound.

Equations to represent the situation in this problem.

x=weight of package

UPS cost=6+1+0.15(x-2)

UPS cost=6+1+0.15x-0.3

UPS cost=6.7+0.15x

FedEx cost=4+2+.25(x-2)

FedEx cost=4+2+0.25x-0.5

FedEx cost=5.5+0.25x

Next, we can set the two equations equal to each other to solve for x.

6.7+0.15x=5.5+0.25x

6.7+0.15x-5.5=5.5+0.25x-5.5

1.2+0.15x-0.15x=0.25x-0.15x

1.2/0.1=0.1x/0.1

x=12

Hence, It takes 12 pounds for the UPS and FedEx packages to cost the same amount to ship.

For more references on equations, click;

https://brainly.com/question/10413253

#SPJ5

Answer:

Option A is correct.

Step-by-step explanation:

P  = C - (5/100)C = (95/100)C = 95% of C

Hope this helps!

:)

Answer:

I think c , hope it helps :)

Answer:

y = 2/3x +4

Step-by-step explanation:

The y intercept is where the line crosses the y axis

y intercept =4

We can find the slope using two points on the line

(0,4) and (3,6)

m = (y2-y1)/(x2-x1)

   = (6-4)/(3-0)

   = 2/3

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2/3x +4

Answer:

y = 2/3x +4

Step-by-step explanation:

let the 2 unknown be a and b

X = 0, Y = 4 -> 4 = 0*a+b -> b = 4

Y =0, X = -6  -> 0 = -6*a + 4 -> a = -4/-6 = 2/3

-> y = 2/3x +4

Answer:

question 7: 280 and question 8: 86

Step-by-step explanation:

Answer:

1) 70

2) 82

Step-by-step explanation:

Answer:

B = 42.9°

C = 87.1°

c = 7.4

Step-by-step explanation:

In this problem we are given two sides and one angle of a triangle ABC. The given values are:

a = 9

b = 8

A = 50°

In this case, there wil be only one solution, because the side opposite the given angle (side a) is longer than side b that was also given.

Calculating, let's the the law of sines.

[tex] \frac{sin A}{a} = \frac{sin B}{b} = \frac{sin C}{c} [/tex]

[tex] \frac{sin 50}{9} = \frac{sin B}{8} = \frac{sin C}{c} [/tex]

Taking for A & B, we have:

[tex] \frac{sin 50}{9} = \frac{sin B}{8} [/tex]

Let's cross multiply

(sin 50°)(8) = 9 sinB

Solving further,

[tex]sin B = \frac{8 sin 50}{9}[/tex]

[tex] sin B = \frac{6.128}{9}[/tex]

[tex] B =sin^-^1(0.68)[/tex]

B = 42.9°

Since the total angle of a triangle is 180°, to find C, we have:

C = 180 - 50 - 42.9

C = 87.1°

To find the length of c, let's also use the sine formula.

[tex]\frac{sin B}{b} = \frac{sin C}{c} [/tex]

[tex]\frac{sin 42.9}{8} = \frac{87.1}{c} [/tex]

Cross multiplying

8c = 87.1 sin 42.9

[tex] c = \frac{87.1 sin42.9}{8} [/tex]

c = 7.4

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

Answer:

The simple interest rate on the student loan is 6%.

Step-by-step explanation:

To solve for the simple interest rate, use the formula for total simple interest:

[tex]I = Prt[/tex]

[tex]I[/tex] = total interest paid

P = principal, or starting value

r = interest rate in decimal form

t = time in years

State known values

P = 12,000

t = 5

[tex]I[/tex] = 3,600

Substitute known values and isolate "r"

[tex]I = Prt[/tex]

3,600 = (12,000) (r) (5)

3,600 = (60,000) r

r = 0.06

Since "r" is given as a decimal, convert this to a percentage by multiplying by 100.

0.06 = 6%

∴ The simple interest rate on the student loan is 6%.

Answer=6%

Step-by-step explanation:

Principal(P)=12000

Time(T)=5  yrs

Interest(I)=3600

We have,

I=PTR/100

3600=(12000*5*R)/100

3600*100=60000*R

R=360000/60000

R=6%

Answer:

x^3 3√x

Step-by-step explanation:

C on edge

Answer:

C is correct and then for the next question a= -8 and b= -2

Step-by-step explanation:

Edge 2021

Answer:

!15

Step-by-step explanation:

hope this helps