The law of cosines for TriangleRST can be set up as 52 = 72 + 32 – 2(7)(3)cos(S). What could be true about TriangleRST? Law of cosines: a2 = b2 + c2 – 2bccos(A) r = 5 and t = 7 r = 3 and t = 3 s = 7 and t = 5 s = 5 and t = 3

Answer:

yes is the answer took the test yesterday

Step-by-step explanation:

Answer:

The answer is (2a + 5)(a + 3).

Step-by-step explanation:

The steps are :

2a² + 11a + 15 = 0

2a² + 6a + 5a + 15 = 0

2a(a + 3) + 5(a + 3) = 0

(2a + 5)(a + 3) = 0

Answer:

a)8.4kg to 10.6kg

b)7.3 kg to 11.7kg

c)16%

d) 95%

e) 0.15%

Step-by-step explanation:

The empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

From the question,

Mean(μ) = 9.5 kg,

Standard Deviation (σ) = 1.1 kg.

a) 68% of the data is between which 2 values?

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

μ - σ

= 9.5kg - 1.1kg

= 8.4kg

μ + σ

= 9.5kg + 1.1kg

= 10.6kg

Therefore, 68% of the data is between 8.4kg to 10.6kg

(b) 95% of the data is between which 2 values?

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ - 2σ

9.5kg - 2(1.1)kg

9.5kg - 2.2 kg

= 7.3kg

μ + 2σ

9.5kg + 2(1.1)kg

9.5kg + 2.2 kg

= 11.7kg

Therefore, 95% of the data is between 7.3 kg to 11.7kg

(c) What percentage of the data is less than 8.4 kg?

We need to find how many standard deviations from the mean 8.4kg is, in order to know the percentage it falls under

μ - xσ = 8.4kg

= 9.5kg - 1.1x = 8.4kg

9.5 - 8.4 = 1.1x

1.1 = 1.1x

x = 1.1/1.1

x = 1

Hence, the percentage it falls under according to Empirical rule = 68%

The percentage of the data that is less than 8.4 kg is calculated as:

100 - 68/2 = 32/2 = 16%

(d) What percentage of the data is between 7.3 kg and 11.7 kg?

We have to find the Standard deviation that they fall under

For 7.3 kg

μ - xσ = 7.3kg

= 9.5kg - 1.1x = 7.3kg

9.5 - 7.3 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

μ + xσ = 11.7kg

= 9.5kg + 1.1x = 11.7kg

11.7 - 9.5 = 1.1x

2.2 = 1.1x

x = 2.2/1.1

x = 2

Therefore, based on the calculation above and the empirical formula rule, the percentage of the data is between 7.3 kg and 11.7 kg is 95%

(e) What percentage of the data is more than 12.8 kg?

μ + xσ = 12.8kg

9.5kg + 1.1x = 12.8kg

= 12.8- 9.5 = 1.1x

3.3 = 1.1x

3.3 = 1.1x

x = 3.3/1.1

x = 3

Hence, the percentage it falls under according to Empirical rule = 99.7%

The percentage of the data that is more than 12.8kg is calculated as:

100 - 99.7/2 = 0.3/2 = 0.15%

Answer:

What are in the boxes?

Step-by-step explanation:

Can you show the text in the choose box please?

Answer: 50 Words

Step-by-step explanation: We know Kyle can write a 300-word essay in an hour or 1 hour. We want to know how many words Kyle would have in his essay if he wrote one in 10 minutes.

First, find how many words Kyle can write per minute. Simply do this by dividing 300 by 60, since there are 60 minutes in a hour.

300/60 = 5. So, Kyle can write 5 words per minute.

Now, simply multiply 5 by 10 to find how many words Kyle would write in 10 minutes.

5 x 10 = 50. So, Kyle can write 50 words in his essay if he writes for 10 minutes.

Answer:

62

Step-by-step explanation:

152-90= 62

Given:

A man walks for x hours at a speed of  (x + 1) km/h and cycles for (x - 1) hours at  a speed of (2x + 5) km/h.

Total distance  travelled is 90 km.

To find:

The value of x.

Solution:

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]Speed\times Time=Distance[/tex]

A man walks for x hours at a speed of  (x + 1) km/h, so walking distance is

[tex]D_1=(x+1)(x)[/tex] km

The man cycles for (x - 1) hours at  a speed of (2x + 5) km/h, so the cycling distance is

[tex]D_2=(2x+5)(x-1)[/tex] km

Now,

Total distance = 90 km

[tex]D_1+D_2=90[/tex]

[tex](x+1)x+(2x+5)(x-1)=90[/tex]

[tex]x^2+x+2x^2-2x+5x-5-90=0[/tex]

[tex]3x^2+4x-95=0[/tex]

[tex]3x^2+19x-15x-95=0[/tex]

[tex]x(3x+19)-5(3x+19)=0[/tex]

[tex](3x+19)(x-5)=0[/tex]

[tex]3x+19=0\text{ and }x-5=0[/tex]

[tex]x=\dfrac{-19}{3}\text{ and }x=5[/tex]

Time cannot be negative. So, the only possible value of x is 5.

Answer:

The remainder is 11

Step-by-step explanation:

Here, we want to find the remainder by using substitution

We start by equating x-2 to 0

x = 2

Substitute the value of x in the function

3(2)^3 - 4(2)^2 + 5(2) - 7

= 24-16+ 10 - 7 = 11

Answer:

6

Step-by-step explanation:

If the sum of the digits of a number is divisible by 9, then the number is divisible by 9.

So 6+7+8+5+Δ+4 = Δ + 30 has to be divisable by 9, and of course 0≤Δ≤9

36 is divisable by 9, so Δ has to be 6.

The value of the number which will make it divisible by 9 will be 6.

Based on the information given, we've to find a number that will give a value without a remainder.

Therefore, if we use 6, the number will be 678564. Then, we can divide by 9 and it'll be.

= 678564/9

= 75396

Therefore, the number is 6.

Learn more about division on:

https://brainly.com/question/4320580

Answer:

..

Step-by-step explanation:

You can easly calculate this.. then compare..

Example :

1/5 = 0.2

1/4 = 0.25

Then 1/4 > 1/5

Answer:

the first one

Step-by-step explanation:

top one : frame A.

bottom one : 6 inches

Answer:

Give brainliest to the other person who answered

Step-by-step explanation:

Have a fantastic day!

Given that,

Initial speed, u = 15 m/s

Acceleration, a = 0.5 m/s²

Time, t = 6 s

To find,

Velocity after 6 seconds.

Solution,

Let v is the velocity of the train.

Using equation : v = u +at

Put all the values,

v = 15 +0.5(6)

= 15 + 3

= 18 m/s

So, its final velocity is 18 m/s.

Answer:

Step-by-step explanation:

Jane's caldles:

Chris's candles:

Profit, if equal per x candles is:

Each will have profit of $10 if 10 candles sell

Answer:

x=7

Step-by-step explanation:

write -2+16x+9x+7=180

then add all like terms (-2+7=5) and (16x+9x=25x)

5+25x=180

-5. -5

25x=175

/25. /25

x=7

Answer:

180=-2+16x+9x+7

180=25x+5

-5. -5

175=25x

175/25=25x/25

7= x

Step-by-step explanation:

Answer:

Same!

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

Answer:

After 7 months population will be same.

(43425 + 75x) = (45000 - 150x)

Step-by-step explanation:

Population of a town = 43425.

Number of people moving out of the town = 125 per month

Number of people moving in = 200 per month

On an average number of people increasing every month = 200 - 125

                                                                                                = 75

Population of the nearby town = 45000

Number of people moving in = 0 per month

Number of people moving out = 150 per month

Let after x months number of population will be same.

So the equation will be (43425 + 75x) = (45000 - 150x)

1). By solving this equation we can get the number months when the population of both the towns will be same.

43425 + 75x = 45000 - 150x

43425 + 75x + 150x = 45000

75x + 150x = 45000 - 43425

225x = 1575

x = 1575/225

x = 7 months

Answer:

Step-by-step explanation:

according to the rectangle theory

thus,

we can write AC as AE+ CE

11x -18 + 2x+45 = BD

hope it helps:)

Answer:

Dude divide the amount of money small loaves cost by $97 and then do the same but with the amount of money the loaves cost

Answer:

285

Step-by-step explanation:

Answer:

The answer is 3%.

Step-by-step explanation:

6,000 x 3 = 18,000.

18,000 / 6,000 = 3.

Answer:

200cm²

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

Hence the total surface area of the prism is 200cm²

Answer:

50 min 5 hours

Step-by-step explanation:

Answer: 6 hours and 50mins

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

30:6=5

yellow apples - 1/5 of 30

20x5=100

20%/30=6

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

16hours

Step-by-step explanation:

Amount of hours Nixon took = 5hours

If it takes 320 % of his time, then he took him 320% of 5hrs to finish

This is express as shown

320% of 5

= 320/100 ×5

= 320/20

= 16

Hence it took him 16 hours

Answer:

Step-by-step explanation:

320/100 = 3.2

3.2 x 5

=16

Answer:

It is the sedond one

Step-by-step explanation:

7n, 4n because they have the same variable, n.