Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answer:

6.4 minutes or 384 seconds

Answer:

B. and C.

Step-by-step explanation:

1. Set the polynomial equal to zero:

x² + 5x + 7 = 0

2. Plug the given values of a, b, and c into the quadratic formula:

[tex]x=\frac{-5+-\sqrt{5^{2}-4(1)(7) } }{2(1)}[/tex]

3. Solve the square root:

[tex]x=\frac{-5+-\sqrt{25-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-5+-\sqrt{25-28} }{2(1)}[/tex]

[tex]x=\frac{-5+-\sqrt{-3} }{2(1)}[/tex]

4. Simplify the rest:

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

5. Separate the solutions:

[tex]x=\frac{-5+\sqrt{-3} }{2} , x=\frac{-5-\sqrt{-3} }{2}[/tex]

Thus, options B and C are the answers.

hope this helps!

Answer:

17.51

Step-by-step explanation:

this is a right triangle, so sohcahtoa applies

we want x

relative to the angle, x is opposite of it and 25 is adjacent to it (the hypotenuse is the other side)

the formula that combines opposite and adjacent is tan

tanθ = opposite/adjacent

tan(35°) = x/25

multiply both sides by 25 to isolate x

tan(35°) * 25 = x

x ≈ 17.51

Answer:

umm 9?

Step-by-step explanation:

The answer is [tex] {2}^{5} [/tex] or 32.

The best way to represent this is with a binary tree. Each split represents a choice, and each line represents a possible outcome. Choice #1 at the top of the tree has 2 possible outcomes. The second level repeats that process with 2 possible choices and 4 possible outcomes, this repeats for all 5 levels giving us 32 possible outcomes at the bottom.

There will be eight outcomes.

Sample space : {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}

Answer:

61 cm or 0.61 m

Step-by-step explanation:

1. One meter is 100 cm, so you multiply 1.7 meters by 100 to get 170 cm.

2. Now that they are in the same units, to get their difference in height, you subtract Sheila's height from her son's (170 - 109) and get 61 cm.

3. Convert it back to meters by dividing by 100 and you get their difference in height in meters, 0.61 m.

Answer:

0.61

Step-by-step explanation:

One cenimeter is equivalent to 0.01 meter.

109cm • 0.01 = 1.09m

1.7m - 1.09m = 0.61m

Sheila is 0.61m taller than her son

Answer:

5 meters per second.

Step-by-step explanation:

There are 60 seconds in 1 minute:

1 minute 20 seconds = 60 seconds + 20 seconds = 80 seconds.

Divide the amount of meters swam (400) with the total amount of seconds used (80) to get the average meters per second:

(400 meters)/(80 seconds) = 5 meters/second.

5 is your answer.

~

Answer:

5 MPS

Step-by-step explanation:

If Ciera can swin 400 meters in 1 minute and 20 seconds,

400 meters = 1 minute 20 seconds (1 1/3 minutes).

Divide both sides by 1 1/3.

400/ 1 1/3 = 300

Since it asks in seconds, divide by 60.

300/60=5

Answer: 640

Step-by-step explanation:

How many acres are there in 1 square mile? There are 640 acres in 1 square mile. To convert from square miles to acres, multiply your figure by 640 (or divide by 0.0015625) .

Answer:

640 acres²

Divide the area value by 68

[tex]43,560 / 68 = 640[/tex]

or

[tex]1~mile^2 * 640 = 640[/tex]

you multiply the area value by 640 for each square mile, since there is only one square mile, the answer is 640

Answer:

0.05km

Step-by-step explanation:

There are 1000 meters in a single kilometer. Using some dimensional analysis, we get set up the following expression:

[tex]\frac{50}{1} \frac{meters}{1}\frac{1}{1000} \frac{kilometers}{meters}[/tex]

The meters will cancel leaving the units of kilometers:

[tex]\frac{50}{1000} km=0.05km[/tex]

Answer:

16 percent

Step-by-step explanation: 16 percent of 46500 is 7440

Answer:

Equation:

C = 1.75x + 5 25

A 22-mile ride costs $43.75.

Step-by-step explanation:

Because there is a flat fee of 5.25, only the first two equations could possibly be correct.

Then check with the examples given. If a 7 mile ride costs 17.50, the second equation cannot possibly be right. 7 miles times over $5 per mile will cost more than $35 not even including the flat fee.

Check:

1.75(7) + 5.25 = 17.50

and

12(1.75) + 5.25 = 26.25

So, the correct equation is

C = 1.75x + 5.25

Next use this equation to find the cost of the 22 mile ride.

1.75(22) + 5.25

= 43.75

Answer:

0.825 bags of oranges

Step-by-step explanation:

1/3 is 0.33 and 2/5 is 0.4 so 0.33/0.4 is 0.825

The linear function that gives the candle's height, y, after x hours, is defined by:

y = -0.25x + 11.

A linear function is modeled by:

y = mx + b

In which:

In this problem, in 12 hours, the height decayed 3 inches, hence the slope is given by:

m = -3/12 = -0.25.

So:

y = -0.25x + b.

After 4 hours, the height was of 10 inches, hence we use this to find b:

10 = -0.25(4) + b

b = 11

Thus the equation is given by:

y = -0.25x + 11.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer:

8x^{12}yx^{3}  

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you

- Matthew

Answer:

the question can be understand but the question is not telling what to find

it is comfugen to answe're the question

She invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Given that Sylvia invested a total of $27,000, and she invested part of the money in a certificate of deposit (CD) that earns 3% simple interest per year, she invested in a stock that returns the equivalent of 7% simple interest, and she invested in a bond fund that returns 2%, and she invested three times as much in the stock as she did in the CD, and earned a total of $1140 at the end of 1 yr, to determine how much principal did she put in each investment, the following calculation must be made:

Therefore, she invested $11,250 in the stock, $3,750 in the CD and $12,000 in the bond fund.

Learn more about distribution in https://brainly.com/question/10250387

Answer:

Area = 224 square yards

Step-by-step explanation:

Width = 3.5 squares

Length = 4 squares

Multiply to yards (x4)

Width = 14 square yards

Length = 16 square yards

Area = Width*Length

Area = 14 * 16

Area = 224 square yards

Answer:

6 hours

Step-by-step explanation:

2 2/3 +3 1/3= 5+1=6

Answer:

2 2/3+ 3 1/3 = 6. Multiply 6 by 4 weeks. 24 as your whole number.

Step-by-step explanation:

hope this helps

Answer:

2.90 % rate

Step-by-step explanation:

Simple intrest (si) = $1219

Principal (p) = $4206

time (t) = 10yrs

rate (r) = ?

Now using formula,

r = ix100/p×t

r = 1219×100/4206×10

r = 2.90 ( in calculator it will show 2.898 if the third digit is more than 5 after the decimal in the second number 1 is added so it will be 2.90)

Answer: 3

Step-by-step explanation:

3x8 = 24

24x2= 48!

8x12= 96!

Answers must be divisible by both numbers, and achievable by both inputs.

Hope This Helped

Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: [tex]y=b^x[/tex]

Our equation: [tex]y=6^x[/tex]

Add alterations:

Final equation: y=6^x+0.612 - 4

Answer:

Step-by-step explanation:

x 1= 3 x 2=−4

Answer:

In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0

Step-by-step explanation:

Answer: negative numbers and the number 0 are non logarithmic functions

Step-by-step explanation:

Answer:

10 and 30

Step-by-step explanation:

The sum of 10 and 30 is 40.

30 is three times ten (10 x 3 = 30).

hope this helps!

The answer is 10 and 30

10 times 3 is 30, meaning 10 will be the number times 3 they wanted. 10 + 30 is 40, therefore the answer is 10 and 30

Answer:

r = 50 degrees.

Step-by-step explanation:

r = 50 degrees ( vertical angles are congruent).

Answer:

  $26.25

Step-by-step explanation:

To find the discounted price, subtract the discount amount from the original price. The amount of the discount is the product of the discount rate and the original price.

__

  discounted price = original price - (original price) × (discount rate)

You can calculate it this way, or you can factor out the original price:

  discounted price = (origina price) × (1 - discount rate)

  = $37.50 × (1 -0.30) = $37.50 × 0.70 = $26.25

The sale price of the sweater is $26.25.

__

Additional comment

The amount of the discount is ...

  $37.50 × 0.30 = $11.25

which makes the discounted price be ...

  $37.50 -11.25 = $26.25

Answer:

Have a great tret

Step-by-step explanation:

I dont know what

is it

Use logarithms to solve for a.

[tex]3^a = 2 \implies \log_3(3^a) = a\log_3(3) = \log_3(2) \implies a = \log_3(2)[/tex]

Similarly, for b and x.

[tex]3^b = 5 \implies b = \log_3(5)[/tex]

[tex]3^x = 150 \implies x = \log_3(150)[/tex]

Factorize 150:

150 = 2 • 3 • 5²

Then we can expand log₃(150) using the product-to-sum and exponent property,

[tex]\log_3(150) = \log_3(2\times3\times5^2) = \log_3(2) + \log_3(3) + \log_3(5^2)[/tex]

[tex]\implies \log_3(15) = \log_3(2) + 1 + 2 \log_3(5) \iff \boxed{x = 1 + a + 2b}[/tex]