What is the length of the hypotenuse to the nearest hundredth place in the diagram below

Answer:Isolate the variable by dividing each side by factors that don't contain the variable.

d=−5

Step-by-step explanation:

The area of the triangle ABC is 34.2 square centimeters

The complete question is in the image

Start by calculating the semi-perimeter using:

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (9 + 10 + 8)

Evaluate

s = 13.5

The area is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]

Evaluate

A = 34.2

Hence, the area of the triangle ABC is 34.2 square centimeters

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Do you mean exponential form as in scientific notation or as in prime factorization.

Now matter I will do both.

As in scientific notation.

200*75

=150*100

=1.5*10000

=1.5*10^4

As in prime factorization.

200*75

=2^3*5^2*3*5^2

=2^3 * 3 * 5^4

Do the one your teacher ask for :) Hope it helps!

Answer:

0

Step-by-step explanation:

Given equations is

x+2y=8,5x+10y=c

The equations a

1

x+b

1

y=c

1

and a

2

x+b

2

y=c

2

will have uique solutions if

a

2

a

1



=

b

2

b

1



=

c

2

c

1

but from equations,

a

2

a

1

=

5

1

,

b

2

b

1

=

10

2

,

c

2

c

1

=

c

8

∴

a

2

a

1

=

b

2

b

1

The given equations does not have unique solution, so the given statement is false, The correct answer is 0

Answer:

825 g

Step-by-step explanation:

Here's my work:

500g Cl2 l   1mol Cl2  l  2 mol NaCl   l  58.5 g NaCl

                l   71 g Cl2    l  1 mol Cl2      l    1 mol NaCl  

= 823.94  - the rounding can be a little off

The first thing you have to do is convert the 500 g of Cl2 into moles.  So you get the mass of Cl which is 35.5, but Cl is diatomic by itself so you multiply 35.5 x 2 and get 71.   now on the third column you are comparing the mol ratios of the equation.  The equation is 2Na + Cl2 ---> 2NaCl, so you see that there is no coefficient in front of Cl2 so that means there is 1 mol, and then you see that in the product there is a  coefficient of 2 in front of NaCl so that means there is 2 moles.  Then finally you have to convert the moles backs into grams where you just add the masses of Na and Cl .  You multiply across the top  and then divide that number by the bottom row.

Answer:

2/3x

Step-by-step explanation:

Answer:

Given :principle =Rs. 1200

rate of interest =9%

time =3yrs

we know that simple interest =PTR /100

=1200*9*3/100

=Rs. 324

Amount of the farmer will receive at the end of the 3 yrs =principle + interest

=1200+324=1524/-

Answer:

The answer is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Temperatures given:

Descending order of the numbers is:

Correct choice is E

Answer:

c.

Step-by-step explanation:

hopes this helps

Answer:

-1

Step-by-step explanation:

negative 1

Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

Answer:

si yo lo sé tú también cierto

Answer:

22 bags

Step-by-step explanation:

Multiply 5 1/2 by 4 and you'll get 22

Answer:

22 bags

Step-by-step explanation:

5 1/2 for 1/4....4/4 for the whole garden. So you can multiply 5 1/2 times 4

Answer:

14 dimes and 17 quarters

Step-by-step explanation:

d and q are the number of dimes and quarters, respectively.

"31 coins, all of which are dimes and quarters."

d+q = 31

d = 31-q

"the value of the coins is $5.65"

0.10d + 0.25q = 5.65

substitution

0.10(31-q) + 0.25q = 5.65

3.10-0.10q + 0.25q = 5.65

0.15q = 2.55

q = 17

d = 31-q = 14

14 dimes and 17 quarters

Answer:

the theorum used here is sas one

Answer:

£503.75

Step-by-step explanation:

Andy is buying a car.

Step 1

We calculate the decrease

He negotiated a 7% decrease on a £6 500 car.

Decrease = 7% × £6500

= $455

Step 2

We calculate the new price of the car.

= Old price - Decrease

= £6500 - £455

= £6045

Step 3

We calculate the amount he pays every month.

We are told that:

He will pay the full balance in 12 equal monthly payments.

Andy's monthly payments =

New price/12 months

= £6045/12

= £503.75

Therefore, the amount he would be paying each new month = £503.75

Answer:

Divide each term by −2 and simplify.

Inequality Form:

x>−5

Interval Notation:

(−5,∞)

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

140°

Step-by-step explanation:

∠ABC is an inscribed angle and its measure is half the measure of the intercepted arc, which is arc AC

Therefore the measure of arc AC is 2(70) = 140°

∠AOC is a central angle and its measure is equal to its intercepted arc, which is arc AC.

So, m∠AOC = 140°

The angle AOC from the given circle is 140°. Therefore, option C is the correct answer.

The angle subtended by an arc at the center is twice the angle subtended at the circumference. More simply, the angle at the center is double the angle at the circumference.

From the given circle, angle ABC is 70°.

Here, 2∠ABC=∠AOC

∠AOC=2×70°

∠AOC=140°

Therefore, option C is the correct answer.

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Answer:

8

Step-by-step explanation:

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/x miles = 23 minutes/4 miles

To solve for x, we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Answer:

Step-by-step explanation:

volume = πr²h = π·3²h = 63π

h = 7 cm

The height of the given cylinder is 7 cm. Therefore, option D is the correct answer.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, the volume of a cylinder is 63π cm³ and the radius is 3 cm.

We know that, the formula to find the volume of a cylinder is πr²h.

Now, πr²h=63π

π×3²×h=63π

h= 7 cm

Therefore, option D is the correct answer.

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Answer:

59,09

.........................................................

Answer:

13.5 ounces

Step-by-step explanation:

Answer: [tex]a_{n}[/tex]=5*[tex]6^{n-1}[/tex]

Step-by-step explanation:

Answer:

the question is not correct. please rewrite the question.

Answer:

500/(7+3)=50; 3*50=150, 7*50=350. 150:350=3:7

Step-by-step explanation:

o Ayan sinolve kayan geh pa follow po

220 is divided in the ratio 3:8 as 60 and 160 respectively.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

The given ratio is 3:8 and the number is 220.

Here, 3+8=11

Now, 3/11 ×220

= 3×20

= 60

8/11 ×220

= 8×20

= 160

Therefore, 220 is divided in the ratio 3:8 as 60 and 160 respectively.

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