1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?



A2
B3
C [tex]3\sqrt{2}[/tex]
D[tex]3\sqrt{3}[/tex]
F[tex]6\sqrt{2}[/tex]

here is what the graph would look like. hope this helps! xoxo

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

Answer:

x-y=2.5,xy=21

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

One of the numbers is x.

The other number is y.

The difference between two numbers is 2.5

This means that x - y = 2.5

The product of those two numbers is 21.

This means that xy = 21.

So the two equations are: x-y=2.5,xy=21

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

Answer:

3125

Step-by-step explanation:

Answer:

There is only 32 so it 32

Step-by-step explanation:

Because there’s only 32

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

Answer:

x=3

Step-by-step explanation:

Subtract 5 from both sides:

2x=6

Divide both sides by 2:

x=3

Answer:

3

Step-by-step explanation:

2x+5=11

subtract 5 from both sides of the equation

Then divide by two to both sides of the equation

Answer:

0.075

Step-by-step explanation:

3/40 = 0.075

hope it help u

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Answer: 4 units

Step-by-step explanation:

The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]

At, t=4,

[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

Answer:

65% i do believe!

Step-by-step explanation:

Answer:

I would say 65% probably

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

Answer: 6 sheets left over.

Step-by-step explanation:

Given, Total students = 9

Total sheets = 150

If sheets were divided equally, then the number of sheets each student got = Total sheets ÷ Total students

= 150 ÷ 9

[tex]= 16\dfrac{6}{9}[/tex]

So, each student got 16 sheets and 6 sheets left over.

Hence, 6 sheets were left over.

Answer:

x=7

Step-by-step explanation:

(x+16)=(4x-5)

Subtract x from both sides

16=3x-5

Add 5 to both sides

21=3x

Divide both sides to get x=7

Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.

Hope this helps!

Answer:

1/3

Step-by-step explanation:

Since there are ten people, you have to divide three by ten. It would be 1/3.

Answer:

700 programs

Step-by-step explanation:

Given that :

Fixed cost = $400

Variable cost = $3 per program

Right to sell fee = $1000

Sales price per program = $5

Let number of programs sold = x

In other to break even, expense = revenue

(Fixed cost + variable cost per program + right to sell fee) = sales price per program

(400 + 3x + 1000) = 5x

1400 + 3x = 5x

1400 = 5x - 3x

1400 = 2x

1400 / 2 = x

x = 700

Number of programs to be sold in other to break even = 700

Answer:

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

Step-by-step explanation:

To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

Answer:

7x-42=3x+9

7x-3x=42+9

4x=51

x=51/4

x=12.75

Step-by-step explanation:

Answer:

2/8 foot longer

Step-by-step explanation:

Answer:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Step-by-step explanation:

Represent the event that you win with A and the even that your friend win with B.

So, we have:

[tex]P(A) = \frac{1}{100}[/tex]

[tex]P(B) = \frac{1}{100}[/tex]

Required

Calculate P(A or B)

Both events are mutually exclusive.

So:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]

[tex]P(A\ or\ B) = \frac{2}{100}[/tex]

Simplify:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Answer:

Step-by-step explanation:

He needs 1 pint to get the 3 quarts to 4 quarts.

4 quarts = 1 gallon.

So if he buys 1 pint he will have 1 gallon.

He needs 5 gallons.

He has 1 gallon

He needs 5 - 1 = 4 gallons.

Answer: he needs 1 pint and 4 gallons.

The division 292,000 divide 100. results to 2920.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given:

292,000 divide 100.

We know division with zero in the denominator is different and easy.

As, 292000 have three and 100 have two zeroes.

So, the two zero of hundred cancels out the two zeroes of  292000.

So, 292000/ 100

= 2920

Hence, the division results to 2920.

Learn more about Division here:

https://brainly.com/question/21416852

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Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

Answer:

1/2

0.5

2/4

3/6

4/8

50%...

Step-by-step explanation:

Options:

a. Balance Transfers

b. Cash Advances

c. Payments

d. Interest Charges

Answer:

c. Payments

Step-by-step explanation:

Of all the given options, only (c) Payments decreases amount owed.

(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.

As analysed , each of the above transactions increases debts.

However, (c) Payments implies a credit transaction and as such, reduces the amount owed.

The only transaction type among the given ones that helps to decrease how much you owe the credit card company is;

Option C; Payments

The missing options are;

A) Balance Transfers

B) Cash Advances

C) Payments

D) Interest Charged

We want to find out which of the transactions among the given options would lead to a decrease in the amount you owe the credit card company.

Let's analyze the options;

Option A; Balance transfer means when a customer wants to move the amount he/she owns to a credit card that has lower interest rates. This does not reduce the debts as the debts are still there just that you have moved the funds to another credit card.

Option B; Cash advances are typically short term loans offered the credit card company. Thus, it only increases your debt.

Option C; Payments in this case means paying outstanding debts with the credit card holder. Thus, it helps to decrease how much you owe the credit card company.

Option D; Interest charges are usually the amount issued by the credit card holder for debts accrued over a given period of time.

Looking at the options, the only one that helps to decrease how much you owe the credit card company is Option C.

Read more at; https://brainly.com/question/15125280