Given: AO = OD
OB = OC
m∠1=74˚, m∠2=36˚
Find: m∠ACD

Answer: [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

1. You have the following expression given in the problem above:

[tex]\frac{(5^{-3})(2^{2})(5^{6})} {(2^{3})(5^{2})}[/tex]

2. You must apply the exponents properties, as following:

- To multiply powers that has the same bases, add the exponents of the bases that are equal:

[tex]\frac{(5^{(-3+6)})(2^{2})} {(2^{3})(5^{2})}=\frac{(5^{3})(2^{2})} {(2^{3})(5^{2})}[/tex]

- To divide powers that has the same bases, you must substract the exponents of the bases that are equal:

[tex]\frac{5^{(3-2)})} {2^{(3-2)}}=\frac{5}{2}[/tex]

3. Therefore, the answer is [tex]\frac{5}{2}[/tex]

Answer:

5/2

Step-by-step explanation:

putting the exponents and then

4,002,000

answer is D

By Subtracting the given Expression 9,002,000 - 5•[tex]10^6[/tex] we get Option C. 4.002 x [tex]10^4[/tex].

To subtract 5 • [tex]10^6[/tex] from 9,002,000, we simply perform the arithmetic operation as follows:

9,002,000 - 5 • [tex]10^6[/tex]

Step 1: Subtract 5 • [tex]10^6[/tex] from 9,002,000

= 9,002,000 - 5 • [tex]10^6[/tex]

= 9,002,000 - 5,000,000

Step 2: Perform the subtraction

= 9,002,000 - 5,000,000

= 4,002,000

Now, we have the result of 4,002,000. However, we need to write this answer in scientific notation.

In scientific notation, a number is written as a product of two parts: a coefficient and a power of 10. The coefficient must be greater than or equal to 1 and less than 10.

To express 4,002,000 in scientific notation, we move the decimal point to the left until we have a number between 1 and 10.

Since 4,002,000 = 4.002 × 1,000,000, we can write it as 4.002 × [tex]10^6[/tex].

However, our options are given in terms of powers of 10 from [tex]10^3[/tex] to [tex]10^6[/tex]. We can rewrite 4.002 × [tex]10^6[/tex] as 4.002 × ([tex]10^6[/tex] ÷ [tex]10^2[/tex]) = 4.002 × [tex]10^{(6-2)}[/tex]

                                                                                = 4.002 × [tex]10^4[/tex].

Therefore, the correct answer is option C, 4.002 × [tex]10^4[/tex].

In summary, to find the result of 9,002,000 - 5 • [tex]10^6[/tex], we perform the subtraction to get 4,002,000, and then we express it in scientific notation as 4.002 × [tex]10^4[/tex]. Option C is the correct choice.

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it is very sad but she makes 320 jokes and only 16 of them are funny

step by step equation

16 ÷ 0.05 = 320

brainliest por favor

pfffft! that is great, but to get serious (poor frickin' Jasmine!) she makes about 59 funny jokes! maybe she needs to go back to clown school I make 59' funny jokes an hour! I hope this makes you laugh but more importantly I hope it helps you and I pray that ya get a big 100% ;-)

Answer:

33.0693 pounds

Step-by-step explanation:

well, 768 rounds up because it is close to 800 than 700. so the answer is 800 :)

It would be 800, because to get to 800 you would need to add 32,while you would have to subtract 68 to get to 700. Therefor the answer is 800

Not 100% sure, but i think the answer is A. 1,365, Sorry if i get you wrong.

Answer:

6

Step-by-step explanation:

fred has 2 peanut butter and 3 jelly

type 1 peanut butter can go with all three types of jelly = 3 pb&js where ther is one constant peanutbutter and 3 different jellys

type 2 peanut butter can go with all three jellies = 3 pb&js where there is one constant peanutbutter and 3 different jellies

3+3=6

there are 6 peanut butter and jelly sandwhiches he could make.

you can also just multiply the numbers (2x3=6)

Final answer:

Fred can make 6 different peanut butter and jelly sandwiches by multiplying the number of peanut butter types by the number of jelly types (2 types of peanut butter × 3 types of jelly). The type of bread does not affect the count as there's only one type.

Explanation:

To determine how many different peanut butter and jelly sandwiches Fred can make, we need to consider all possible combinations of peanut butter, jelly, and bread. Since Fred has two types of peanut butter, three types of jelly, and one type of bread, the number of different sandwich combinations can be calculated using the Counting Principle. This principle states that if there are n ways to do one thing, and m ways to do another, then there are n × m ways to do both.

In Fred's case, for every type of peanut butter, he can choose from three different types of jelly. So, for two types of peanut butter, we have:

2 types of peanut butter × 3 types of jelly = 6 combinations

Since there's only one type of bread, it doesn't change the number of combinations.

Therefore, Fred can make 6 different peanut butter and jelly sandwiches.

the answer is 16 1/4

Hi! I'm Jenny, and I'm a mathematician! I am ecstatic to help you with this problem! :)

425 ÷ 4 in long division:

1 0 6

4 4 2 5

− 4    

 0 2  

−   0  

   2 5

 − 2 4

     1

Message from ExperimentsDIYS:

Our team aims to please and if you have any question regarding your topic, we are here to help! We know that your education is very important. <3

1. matter is made up of what atoms and molecules are made of, meaning anything made of positively charged protons, neutral neutrons, and negatively charged electrons.

2.Atoms comprise of the nucleus (which contains protons and neutrons) and electrons. Conversely, a molecule comprises of two or more, identical or different atoms, combined chemically.

3. Pure substances cannot be separated into any other kinds of matter, while a mixture is a combination of two or more pure substances.

4. A compound is a pure substance composed of two or more different atoms chemically bonded to one another.

hope this helps!

Tracereed,

In order to solve this question you have to divide 34 by 100 then divide that by 510.

Therefore "173.4 is 34% of 510!"

Hope this helps!

To find 34% of 510, first write 34% as a decimal by moving the decimal point two places to the left to get .34.

Next, the word "of" means multiply, so we are going to multiply.

(.34) (510) = 173.4

Therefore, 34% of 510 is 173.4.

20 - 8 = 12

Hope this helps

-AaronWiseIsBae

That equals 12. The reason is because 20-8 is twelve.

The number is 400.

To find out how many hundreds Mai has, let's understand that each ten is equal to 10. So, if Mai has 40 tens, we can calculate how many ones that is in total:

40 tens * 10 = 400 ones

Now, since there are 100 ones in one hundred, we divide the total number of ones by 100 to find out how many hundreds Mai has:

400 ones / 100 = 4 hundreds

So, Mai has 4 hundreds.

Now, let's write the number:

If Mai has 4 hundreds, it means the digit in the hundreds place is 4. Since she has no tens, the digit in the tens place is 0. And since she has no ones, the digit in the ones place is 0.

The third graph in the image is showing the best results of the inequality 5 x + 10 y ≤ 5,000.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Given that than $5,000 on raw materials for recliners. The raw materials cost $5 per square foot of cloth and $ 10 per foot of wood. To summarize the situation, a worker writes the inequality: 5 x + 10 y ≤ 5,000.

The inequality is graphed and the graph is attached with the answer below with the answer.

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C = πd ( in terms of the diameter ), C = 2πr ( in terms of the radius )

[tex]-4 < 2x-2 < 14\qquad|+2\\\\-2 < 2x < 16\qquad|:2\\\\-1 < x < 8[/tex]

You would just subtract/add like you normally would from left to right because its a subtract and add operation.

Hope that helps :)

Answer,

-1/9 + -5/9 = -2/3

Hope this helps :-)

the answer is 8000 grams

Answer:

8000 g

Step-by-step explanation:

Start with the conversion:

1 kg = 1000 g

Now multiply both sides by 8.

8 kg = 8000 g

The correct answer is none of the ones listed. The correct answer is 18/5.

In order to find this, follow the order of operations.

−(−2−5x)+(−2)=18 ---> Distribute the negative

2 + 5x - 2 = 18 ----> Combine like terms

5x = 18 -----> Divide by 5

x = 18/5

Rewrite the inequality as

[tex] w<12 [/tex]

by adding 4 to both sides.

So, you want to pick only the values that are strictly less than 12, i.e. all of the values except 13.

-1 1/5 + 3/4 = -0.45

1/5 is 0.2 in decimal form, and 3/4 is 0.75:

-1.2 + 0.75 = -0.45

Hope this helps!

First make into improper fraction

-6/5 +3/4

Then find common denominator= 20

-24/20 +15/20 = -9/20

When you add them together you get 238.

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).

Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.

You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)

In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8

Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

n = 2

distribute and simplify left side of equation

50 - 10n - 1 = 29

49 - 10n = 29 ( subtract 49 from both sides )

- 10n = 29 - 49 = - 20

n = [tex]\frac{-20}{-10}[/tex] = 2

To get rid of the parantheses we must multiply 10 by anything inside the parantheses.

10(5-n)-1=29

50-10n-1=29

Combine like terms

50-10n-1=29

49-10n=29

Subtract 49 from both sides

49-10n=29

-10n=-20

Divide both sides by -10

-10n/-10=-20/-10

n=2

Our final answer is 2

Hope this helps!

To find the number of ways six people can be allocated to three different cars with the man alone, we consider the man's three choices and then partition the five women into the remaining two cars in all possible ways, then multiply by the man's choices.

The question asks for the number of different ways six people can be allocated to three different cars, ensuring the man is alone. Since there are three cars, the man has three choices of cars to be alone in. After the man has chosen his car, we have five women and two remaining cars. The five women can be distributed in these cars in a 5-partition of two numbers, which means the number of ways we can divide five into two groups without considering order.

The possible partitions for the five women are (3,2), (4,1), and (5,0). For each partition, there are combinations of woman that can occupy the cars. For example, for partition (3,2), we have 5 choose 3 ways to choose which three women are in the first car and the remaining two automatically go to the second car. We repeat this process for each partition. Finally, we must multiply the number of ways for each partition by the three initial choices the man had to get the total number of combinations.