Solve a triangle when A = 27.3°, B = 55.9°, and a = 8.6.

Answer:

Options?

Step-by-step explanation:

Answer:

1350

Step-by-step explanation:

The formula says

Interest earned=deposited amount ×interest rate × time

Interest earned=3,000×0.03×15=1350

Answer:

13.8 days

Step-by-step explanation:

In this case we can solve it by means of a rule of three, knowing the amount of life for 1000 grams, it must be proportional for 600 grams, like this:

grams   days

 1000     23

 600        x

x = 600 * 23/1000

x = 13.8

which means that for the 600 grams it would be an average life of 13.8 days.

Answer:

∅ = 67.71°

Step-by-step explanation:

The flag pole is 20 ft tall is casting a shadow that is 8.2 ft long .At what angle is the sun hitting the ground. The illustration forms a right angle triangle.

The right angle triangle has an hypotenuse, opposite and adjacent sides. The flag height forms the opposite side. The shadow forms the adjacent side . The angle the sun is hitting the ground can be using SOHCAHTOA principle.

using Tan

tan ∅ = opposite / adjacent

tan ∅ = 20/8.2

tan ∅ = 2.4390243902

∅ = tan⁻¹ 2.4390243902

∅ = 67.7063708403

∅ = 67.71°

Answer:

37

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:

[tex]\cos 64.2^{\circ}=\dfrac{x}{85}[/tex]

[tex]x\approx 37[/tex] units

Hope this helps!

Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

Answer:

A set containing all objects or elements and of which all other sets are subsets.

Step-by-step explanation:

answer

9x14y20

reason

Answer:

The first 4 guests can arrive in 32,760 ways.

Step-by-step explanation:

The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

4 guests from a set of 15. So

[tex]P_{(15,4)} = \frac{15!}{(15-4)!} = 32760[/tex]

The first 4 guests can arrive in 32,760 ways.

Answer:

the first 4 guests can arrive in 32,760 ways.

Step-by-step explanation:

how many ways can the first 4 guests arrive at a party if 15 guests have been invited.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

4 guests from a set of 15

P(15,4) = 15 * 14 * 13 * 12

= 32760

Therefore, the first 4 guests can arrive in 32,760 ways.

Answer:

It’s 7 or I could be 1/9

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

Answer:

11/15

Step-by-step explanation:

Have a good day! <33333

Answer:

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Step-by-step explanation:

Let the event that Pete studies be S.

Let the event that Pete passes the test be P.

The probability that he studies for his test and then passes it is P(S n P) = 7/10

The probability that Pete studies is P(S) = 7/8

The probability that Pete passes his test given that he studied = P(P|S)

The conditional probability, P(A|B) is given mathematically as

P(A|B) = P(A n B) ÷ P(B)

So, the required probability, P(P|S) will be

P(P|S) = P(P n S) ÷ P(S)

P(P n S) = P(S n P) = (7/10)

P(S) = (7/8)

P(P|S) = P(P n S) ÷ P(S)

= (7/10) ÷ (7/8)

= (7/10) × (8/7)

= (8/10) = (4/5) = 0.80

The probability that Pete passes his test given that he studied = (8/10) = (4/5) = 0.80

Hope this Helps!!!

Answer:

$3122.00

Step-by-step explanation:

Since we have been given that

Initial amount deposited into a savings account each year = $500

Rate of interest compounded annually = 7.5%

Number of years = 5 years

So, Amount in the account at the end of the fifth year would be:

A = P( 1+r )^5} - 1

500{(1+7.5/100) - 1 }÷ ( 7.5/100)} (1+7.5/100)

500{( 1.075^5 -1/0.075} × 1.075

500( 1.4356 -1/0.075) × 1.075

500( 0.4356/0.075) × 1.075

500(5.80839)×1.075

= 3122.01

$3122.00

Answer:

A:

The average cost per person is always greater than $630 because of the fee for the tour guide.

The average cost per person is always greater than $630 because of the fee for the tour guide.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

You write functions with the function name followed by the dependent variable.

Learn more about function here: brainly.com/question/4025726

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Answer:

after cross multiplying is when u get 5a=16....then u divide by 5 throughout...also its best to convert 3.2 into fraction since the question is in fraction.....but whichever is still correct

hope its understood

Answer: 0.95 or 95%

Step-by-step explanation:

Answer:

0.95

Step-by-step explanation:

Step-by-step explanation:

• 10% of 5000

[tex] = 10\% \times 5000 \\ = \frac{10}{100} \times 5000 \\ = 10 \times 50 \\ = 500[/tex]

So, 10% of 5000 is 500

• 5% of 5000

[tex] = 5\% \times 5000 \\ = \frac{5}{100} \times 5000 \\ = 5 \times 50 \\ = 250[/tex]

So, 5% of 5000 is 250

10% of 5000 is 500, and 5% of 5000 is 250. These calculations are done by converting the percentages into decimals and then multiplying by the total amount.

Therefore, 10% of 5000 is 500.

To calculate 5% of 5000, you can take half of the 10% value or multiply 5000 by 0.05:

Therefore, 5% of 5000 is 250.

Answer:

x= 60°.

Step-by-step explanation:

To solve this problem, we must figure out the measure of the angles inside a hexagon. We can do this using the Interior Angle formula S = (n - 2)·180.

When we plug the number of sides a hexagon has into this equation, we get a total sum of 720.

To get the measure of each angle, we simply divide 720 by 6, giving us a measure of 120 per angle. Since we know the measure of the interior angles, we can solve for angles of the triangle using Supplementary angles.

180-120= 60°.

We know that the two angles of the triangle against the hexagon are 60°, but what about the other angle?

All you need to do is subtract the two angles from 180 to get you the angle of 'x'.

180-2(60°)= 60°.

Answer:

6, -5/2, 7/4

Step-by-step explanation:

The required slope that shows given points are not collinear is 6, -5/2, and 7/4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
m = (y₂ - y₁) /  (x₂ - x₁)  - - - - (1)

Substitute points  C(1, 1), and  D(3, -4) in the above equation 1,
m = -4 -1 / 3 - 1
m = -5/2

Substitute points   D(3, -4) and E(5, 8) in the above equation 1,
m = 8 + 4 / 5 - 3
m = 12 / 2
m = 6

Substitute points C(1, 1)  and E(5, 8) in the above equation 1,
m = 8 - 1 / 5 - 1
m = 7 / 4

Thus, the required slope that shows given points are not collinear are 6, -5/2, and 7/4.

Learn more about slopes here:
https://brainly.com/question/3605446

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Your question isn't clear. But I infer this is the clear rendering of it;

How many diagonals does a polygon have with 5 sides, but with 6 sides?

Answer:

a. For 5 sides= 5

b. For 6 sides= 9

Step-by-step explanation:

Remember, this is the formula to calculate the number of diagonals of a polygon;

n (n-3) / 2 where n is the sides.

Thus,

for 5 sides= 5 (5-3) /2

= 5 (2) /2 = 10/2= 5

for 6 sides= 6 (6-3) /2

= 6 (3) /2 = 18/2= 9

Answer:

$86.35

Step-by-step explanation:

Total amount he spent at Kroger

= $83.47 on groceries. +coupon for $1.99 off bottled water + $0.89 off organic strawberries

= 83.47+0.89+1.99

= $86.35

Final answer:

After applying coupons for bottled water and organic strawberries, Caleb spent a total of $80.59 at Kroger. The discounts of $1.99 and $0.89 were subtracted from the initial spend of $83.47.

Explanation:

Caleb went to Kroger and initially spent $83.47 on groceries. He had two coupons: one for $1.99 off bottled water and another for $0.89 off organic strawberries. To calculate how much Caleb spent after using his coupons, we need to subtract the value of the coupons from the initial amount.

First, we calculate the total discount by adding the two coupon values:

$1.99 for bottled water

$0.89 for organic strawberries

Total discount = $1.99 + $0.89 = $2.88.

Then, we subtract this total discount from the initial spend:

$83.47 - $2.88 = $80.59

Therefore, Caleb spent $80.59 at Kroger after applying his coupons.

X-4/3 <= 5

Multiply both sides by 3:

X-4 <= 15

Add 4 to both sides:

X <= 19

The answer is the third one.

Answer:

Step-by-step explanation:

(4y + 8x + 6) + 25 + (4x - 6y + 7) =4y + 8x + 6 + 25 + 4x - 6y + 7

= 4y -6y + 8x + 4x + 6 +  25 + 7

= -2y + 12x + 38

Coefficient of y = -2

Answer:

n<4

Step-by-step explanation:

Answer:

[tex]n < 4[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} n + 3 < 5 \\ subtract \: 3 \: from \: both \: sides \\ \\ \frac{1}{2} n < 2 \\ divide \: both \: sides \: by \: \frac{1}{2} \\ \\ n < 4[/tex]

Answer:

3. 72 degrees

Step-by-step explanation:

We can convert the values to percentage values and since a circle is 360°, we can multiply the percentages with 360° to get the degrees. The total of day is all the the things added up:

= 13+6+7+4=30

Percent swimming:

=(6/30) times 360= 72

Answer is 72 degrees

Answer:

Step-by-step explanation:

swim = 6/30=  0.2 -> 0.2*360 = 72 degree

run = 13/30= 0.433 -> 0.4333 *360 = 156 degree

lift weight = 7/30 = 0.23333 -> 0.23333 *360 = 84 degree

ride bike = 4/30 =  0.133333 -> 0.133333 *360 = 48 degree

Answer:

I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.

Step-by-step explanation:

Answer:

Eff

Step-by-step explanation:

Fraction is a part of a whole, telling us how many parts of a whole we have. It can be converted to percentage or decimal.

Eff scored a 23/25 on his math test. Converting to percentage, eff score = 23/25 * 100% = 92%

Maria scored 21/24 on her math test. Converting to percentage:

Maria score = 21/24 * 100% = 87.5%

Jake scored 17/20 on his math test, converting to percentage:

Jake score = 17/20 * 100% = 85%

The person with the highest score has the highest percentage which is Eff with 92%.

Answer:

Eff had the highest score.

Step-by-step explanation:

The approach to determine who get the same score is converting each fraction to an arbitrary scale, which is 100 for this problem. Now, the conversions are presented below:

Eff

[tex]x = \frac{23}{25}\times 100[/tex]

[tex]x = 92[/tex]

Maria

[tex]x = \frac{21}{24}\times 100[/tex]

[tex]x = 87.5[/tex]

Jake

[tex]x = \frac{17}{20}\times 100[/tex]

[tex]x = 85[/tex]

Eff had the highest score.

Answer:

45:15=9:3=3:1

9:3=3:1

3:1 stays the same.

1:3 stays the same.

4:1 stays the same.

The simplify ratios such as 45:15 and 9:3. The simplified form of 45:15 and 9:3 is 3:1. The correct option is B.

To write the ratio 45:15 in the simplest form, you have to divide both numbers by their greatest common divisor (GCD), which in this case is 15.

So, 45 divided by 15 is 3, and 15 divided by 15 is 1, which gives us the simplified ratio of 3:1.

[tex]\frac{45}{15} = \frac{3}{1}[/tex]

For the ratio 9:3, again, we divide both numbers by their GCD, which is 3, resulting in the simplified ratio 3:1.

The ratio 3:1 is already in its simplest form.

1:3 is the simplest form and 4:1 is the simplest fraction.

Answer:

2

いたち うちあ

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

f(x) = 5x-3

Let x = 5

f(5) = 5*5-3

f(5) = 25-3

    = 22

Answer:

336

Step-by-step explanation:

Number of people divide by minutes

35/25 =1.4

Then Change the 4 Hours to minutes.

Knowing that there 1 Hour = 60 Minutes

Thus, 4 x 60 = 240

Then 1.4 x 240 = 336

Hence, 336 people can ride that Ferris wheel in 4 hours.

[RevyBreeze]