5x(30 divided by 6)2

Answer:

the first one

Step-by-step explanation:

Given:

The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]

To find:

The lengths of the legs.

Solution:

Two angles are given. By using the angle sum property, the third angle is:

Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]

                   = [tex]45^\circ[/tex]

Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.

Let x be the lengths of both legs. Then by using Pythagoras theorem, we get

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

[tex](10)^2=x^2+x^2[/tex]

[tex]100=2x^2[/tex]

[tex]\dfrac{100}{2}=x^2[/tex]

[tex]50=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{50}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].

Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.

Answer:

25.6

Step-by-step explanation:

24^2 + 9^2=h^2

576+81=h^2

657=h^2

25.6=h

Answer:

It's option C

Step-by-step explanation:

C. You pick two numbered billiard balls from a bag of balls one after the other without replacement.

Answer:

The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!

Answer:

A = 414.69 km^2

Step-by-step explanation:

A = 2 π r h + 2 π r^2

A = 2(30)(pi) + 2(36)(pi)

A = 132pi

A = 414.69 km^2

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

Learn more about rectangles here:

brainly.com/question/15019502

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Answer:

-4;  -3;   -2;   0;  1;   3;

Step-by-step explanation:

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

[tex]p = \frac{31}{365} = 0.0849[/tex]

Group of 20 friends:

This means that [tex]n = 20[/tex]

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Answer:

i.d.k

Step-by-step explanation:

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer

Answer:

21.11 ft

Step-by-step explanation:

This question would be solved using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

13.4² + b² = 25²

179.56 + b² = 625

b² = 625 - 179.56

b = 445.44

find the square root of 445.44

b = 21.11 ft

Answer

1-right

2-not a triangle

3-acute

4-obtuse

5-right

6-obtuse

7-acute

Step-by-step explanation:

9514 1404 393

Answer:

  25%

Step-by-step explanation:

A percentage change is calculated using the formula ...

  pct change = ((new value) - (old value))/(old value) × 100%

For your numbers, this is ...

  pct change = (250 -200)/200 × 100% = 50/200×100% = 25%

The selling price was 25% more than the cost price.

Hi there!

[tex]\large\boxed{P = 22 cm}[/tex]

To find the perimeter, we must find the length of the rectangle.

We know the area is 24, thus:

A = l × w

24 = l × 3

24/3 = l = 8 cm

Find the perimeter using the formula:

P = 2l + 2w

Plug in the solved length and width:

P = 2(8) + 2(3) = 16 + 6 = 22 cm.

Answer:

12h = 432

Step-by-step explanation:

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

Answer:

ok

Step-by-step explanation:

i think its sependent variable

The features that is present in this polar graph is that A. Symmetry about the polar axis θ = 0.

The polar graph can be said to have a symmetry about the polar axis which means that theta or θ is equal to 0.

This is because the graph is symmetric about the x-axis. This means that all the lines of symmetry can be seen intersecting the graph at x = 0. This proves that there is indeed symmetry in the polar graph.

In conclusion, option A, θ = 0 is correct.

Find out more on polar graphs at https://brainly.com/question/22692278

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Answer:

Statement from the IRS each year. He wants to check how many Social Security credits he received

for 2009. He worked January thru September and earned $2,304 per month. At the end of September his company had layoffs and Richard did

not work from October thru December. How many credits did he earn in 2009? *Required to earn at least 51092 per quarter.

O

Ob

Ос

Od

1

4

3

Answer:

10^20

Step-by-step explanation:

So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.

Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.

So in this case, we will just add since it calls for multipactation.

So we need to solve:

10^13+7

This will just equal:

10^20 power

Hope this helps ;)

Answer:

110,000 (suv) to be shipped to New York City

Step-by-step explanation:

We know that there are 180,000 (suv) to be shipped in total. We also know that there are two cities which these (suv) must be shipped to. So, that is 180,000 (suv) to be shipped to two cities. Let's right a true equation with this information:

Let n represent the number of (suv) to be shipped to New York City and b represent the number of (suv) to be shipped to Boston.

n + b = 180,000

Now, we also know that the number of (suv) to be shipped to New York City is 40,000 greater than the number of (suv) to be shipped to Boston. So, we can write another true equation (for the sake of convenience, let's write it in terms of b rather than in terms of n):

b = n - 40,000

Now that we have a value for b in terms of n, we can plug this value into b in our first equation:

n + (n - 40,000) = 180,000

From here, we can solve:

n + n - 40,000 = 180,000

2n - 40,000 = 180,000

2n = 220,000

n = 110,000

Thus, we have our final answer.

I would appreciate Brainliest, but no worries.

Answer:

Step-by-step explanation:

it's an unfair question b/c we have to know if it's out of all girls or out of all kids.  So we need to know the population total.   so if it was just girls the it's

3/45 = 0.0666666666666...

if it's out of kids.. then it's  3/123= 0.02439....

so that's the two choices.. which one is on the list of choices? both are so that's why this is an unfair question.  maybe this is more to the question not shown in the picture?  hmmmm

Answer:

16/81

Step-by-step explanation:

Lets break it down

When you see ^4, you are multiplying the base ( 2/3 ) by itself 4 times

So lets write the equation

[tex]\frac{2}{3} *\frac{2}{3} *\frac{2}{3} *\frac{2}{3} = x\\[/tex]

[tex]\frac{4}{9} *\frac{4}{9} =x[/tex]

[tex]\frac{16}{81} =x\\x= \frac{16}{81}[/tex]

If my answer is wrong pls correct me.

If you like my answer and explanation then please mark me as Brainliest!

-Chetan K

Answer:

C, D, and E work,

Step-by-step explanation:

Answer:

1526.5

Step-by-step explanation:

To find the mean...

Add all of the numbers and then divide by how many numbers there are.

1600+1800+1205+1360+1205+1135+1895+1400+1955+1710 = 15265

15265/10 = 1526.5

Answer:

distributive property of binary operations generalizes the distributive law from elementary algebra, which asserts that one has always {\displaystyle x\cdot =x\cdot y+x\cdot z.} For example, one has 2 ⋅ = +. One says that multiplication distributes over addition.

Answer:

Look at attachment:

Step-by-step explanation:

Hope this helps! :)