There are 5 more yellow balloons than blue balloons at the party.If the total number of the balloons is 27,how many blue balloons are there?

Answer:

[tex]1) B[/tex]

[tex]2)\ B[/tex]

[tex]3)\ B[/tex]

[tex]4)\ C[/tex]

Step-by-step explanation:

1)

Let's use the Pythagorean Theorem:

[tex]X^2 + 13^2 = 21^2[/tex]

[tex]X^2 + 169 = 441[/tex]

[tex]X^2 = 272[/tex]

[tex]X= \sqrt{272} = 4\sqrt{17} = 16.5[/tex]

2)

Let's use the Pythagorean Theorem:

[tex]16^2 + 28^2 = x^2[/tex]

[tex]x^2 = 1040[/tex]

[tex]x = \sqrt{1040} = 4\sqrt{65} = 32.2[/tex]

3)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

4)

Let's use the Pythagorean Theorem:

[tex]7^2 + 24^2 = 25^2[/tex]

As this equation is correct, these three lengths could be used in a right triangle.

Answer:

lol wheres the question

Step-by-step explanation:

Answer:

MMM

Step-by-step explanation:

Given

See attachment for elements of the sample space (in a probability tree)

Required

Which of MMM, FFM, MFF, FMF represents more than one male?

From the question, we understand that:

[tex]M \to Male[/tex]

[tex]F \to Female[/tex]

So, for an event to represent more than 1 male, there must be an occurrence of at least 2 M (i.e 2 M or 3 M)

From the given options, only MMM has more than 1 M.

Hence, MMM represents more than one Male

Answer: 50%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y = 45/x

Step-by-step explanation:

Given y varies inversely as x, then;

y = k/x

If y = 5 when x = 9

5 = k/9

k = 5*9

k = 45

Substitute into the formula above;

y = k/x

y = 45/x

Hence the required inverse function is y = 45/x

Answer:

I believe it's 180 or 90

180?

Answer:i do not know

Step-by-step explanation:

Answer:

D.480 Ft/S

Step-by-step explanation:

um, Just ask your teacher if you don't understand:P

Answer:

0.5

Step-by-step explanation:

Answer:

[tex] \frac{1}{2}x + 5[/tex]

Answer:

C or D cause A B doesnt make sence its d

Step-by-step explanation:

Answer:

Tree height is 15.6 ft

Step-by-step explanation:

Picture a triangle with horizontal side 25 ft and angle 32 degrees on the left.  Then the following is true:

                                      x

tan 32 = 0.625 = ---------------------       or   x = (0.625)(25 ft) = 15.6 ft

                                    25 ft        

Answer:

-5 1/4-(-7 1/2 is simplified to 9/4

Step-by-step explanation:

-5 1/4 is simplified to -21/4  -(-7 1/2

-7 1/2 is simplified to -15/2 and two negatives make a positive.

so the equation now becomes

-21/4+15/2

15/2 times 2 is 30/4

-21/4+30/4 is 9/4

The answer is 9/4

Answer:

Run = 4 miles

Biked = 22 miles

Step-by-step explanation:

Given :

Let :

Number of miles ran = x

Number of miles biked = 5.5x

Total run and bike distance = 26 miles

Thus ;

x + 5.5x = 26

6.5x = 26

x = 26/6.5

x = 4

Total miles run ; x = 4 miles

Total miles biked, 5.5x = 5.5*4 = 22 miles

Answer:

3/36 simplified is 1/12

Hope this helps!

Answer:

x=5

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

4x−3−2x=2x+7−2x

2x−3=7

Step 2: Add 3 to both sides.

2x−3+3=7+3

2x=10

Step 3: Divide both sides by 2.

x=5

And theres our answer.

Hope this helped! :)

Answer:

x=5

Step-by-step explanation:

4x-3=2x+7

4x-2x= 7 +3

2x=10

2x/2=10/2

x=5

Answer:

[tex]a^2 + 2ab + b^2[/tex]

Step-by-step explanation:

Given

[tex](a + b)^2[/tex]

Required

Express as a standard polynomial

We have:

[tex](a + b)^2[/tex]

Rewrite as:

[tex](a + b)(a + b)[/tex]

Open bracket

[tex]a^2 + ab + ab + b^2[/tex]

Add like terms

[tex]a^2 + 2ab + b^2[/tex]

Answer:

Perimeter is 3 + 3 +3 +4 +5 = 18 feet

Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

Area = 3*.5 = 1.5, 3*2=6, 6+1.5 = 7.5 square meters

perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 5

Answer:

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

Step-by-step explanation:

Step-by-step explanation:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer:

80%

Step-by-step explanation:

20% of the candies are chocolate, leaving the rest of the 80%

Answer:

152

Step-by-step explanation:

this is because there is 360 degrees in a circle and if you subtract 98 and 110 from 360 you get 152.

Answer:

Angle 4 is ∠A

Step-by-step explanation:

Cos(A) = adjacent / hypotenuse

=> Angle 1: Cos(1) = 40 / 41, or 0.98 (so this is not ∠A)

=> Angle 2: Cos(2) = 9 / 41 or 0.22 (This isn't ∠A either)

=> Angel 3: Cos(3) = 24 / 25 or 0.96 (Not ∠A)

=> Angel 4: Cos(4) = 7 / 25 or 0.28 (This is Angle A, since Cos(A) = 0.28)

Therefore; Angle 4 is ∠A

Hope this helps!

Answer:

Can't type the Full solution

I'll solve for the triangle with angles 1 and 2

You can go for the rest.

CosA = 0.28

Taking the cos-¹(0.28) to determine its Magnitude

A=73.74°

Now

We can use sine Rule to get the values of each of the other angles in the triangle

For the first triangle

Applying sine rule

What basically happens in the rule is... Each side divided by the angle opposite it.

Look below

The angle opposite 40cm is angle '2' and the angle opposite 41cm is 90°

We have this sine rule when all three sides are given with ONE ANGLE(90° is the given angle in this case)

So

Each side over the angle opposite it

We go!!

Let's call angle "2" an alphabet. Say Q

41/sin90 = 40/SinQ

SinQ = 40sin90/41

Recall sin90=1

SinQ = 40/41

Q= Sin-¹(40/41)

Q= 77.32°

so angle 2 is 77.32°

Now apply this to get others

Angle '1' should be 12.68°

Angle "3" should be 16.26°

Angle "4" should be 73.74°

Therefore

conclusion

Angle "4" is same as A. That's the angle we looking for

Option 4 IS CORRECT!!

Answer:

1246cm

Step-by-step explanation:

26*10=260

29*34=986

986+260=1246

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

 = 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

 = 43 - 15 = 28  

Therefore, Number of people speaking English only = 57  

Number of people speaking French only = 28

Let A be the set of people who speak English.    

B be the set of people who speak French.  

A - B be the set of people who speak English and not French.  

B - A be the set of people who speak French and not English.  

A ∩ B be the set of people who speak both French and English.  

Given

n(A) = 72       n(B) = 43       n(A ∪ B) = 100  

Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)  

= 72 + 43 - 100  

= 72 + 43 - 100  

= 115 - 100  

= 15

Therefore, Number of persons who speak both French and English

= 15  

n(A) = n(A - B) + n(A ∩ B)  

⇒ n(A - B) = n(A) - n(A ∩ B)  

= 72 - 15  

= 57

and n(B - A) = n(B) - n(A ∩ B)  

= 43 - 15 = 28  

im not sure if its right but- q-q

Answer:

Gartner = average of 25

Water = average of 31.5

(both have a variation of 20)

Step-by-step explanation: