10 of 12 balloons at James party are filled with helium. In the simplest form, what fraction of the balloons are filled with helium

Answers

Answer 1
Answer: u divide by 2 so it is 5/6
Answer 2
Answer: 5/6 you have to divide the top number and the bottom number by a number that goes into both

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Can someone please check if I’m right please, I have a test tomorrow.

HELP PLEASE!!!!!!!A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random.

What is the probability that she selects an orange or a pear?

Answers

Answer: The probability that she selects an orange or a pear is 7/16.

Step-by-step explanation:

Given number of oranges = 4,

Apples = 9,

Pears = 3,

Total number of fruits = 4 + 9 + 3 = 16,

If she selects a piece of fruit from the box at random,

Then, the probability that she selects an orange or a pear

= The probability of oranges + The probability of oranges

=(^4C_1)/(^(16)C_1)+(^3C_1)/(^(16)C_1)

=(4)/(16)+(3)/(16)

=(7)/(16)


7 out of 16 . so therefore you add the number of oranges and pairs then on the number 16 you just add all pieces of friut

One half gallon is equilvalent to 4 pints. How many gallons are the equilvalent of 72 pints

Answers

There are 9 gallons in 72 pints. If a half gallon equals 4 pints then a whole gallon would equal 8 pints. 72 divided by 8 would equal 9 Gallons

What multiple of 7 is also a factor of 7

Answers


The first multiple of 7  (7 x 1 = 7)  is the biggest factor of 7 .

7 is a multiple of 7 and also a factor of 7.
Hope this helps~

Use the squared identities to simplify sin^2x cos^2x

Answers

Answer:

(1-cos^2(2x))/(4)

Step-by-step explanation:

We have the following expression

sin^2x *cos^2x

Whe know that:

sin^2(x) = (1-cos(2x))/(2)\n\ncos^2(x)=(1+cos(2x))/(2)

Now replace these equations in the main expression and simplify

((1-cos(2x))/(2))*((1+cos(2x))/(2))

(((1-cos(2x))(1+cos(2x)))/(4))

Apply the following property

(a + b) (a-b) = a ^ 2 -b ^ 2

Then

(((1-cos(2x))(1+cos(2x)))/(4))=(1^2-cos^2(2x))/(4)

Finally:

(((1-cos(2x))(1+cos(2x)))/(4))=(1-cos^2(2x))/(4)

I need help solving this problem 7/10 + 4 =

Answers

7/10=.7
.7+4=4.7
that is the answer
If you need in fractions...
7/10 + 4 = 4 and 7/10
You get this by just adding the whole number to the fraction. Or, do it this way...
7/10 + 4/1 : find LCD to get 10.
=7/10 + 40/10
= 47/10
= 4 and 7/10

A 500-foot weathertower used to measure wind speed has a guy wire attached to it 200 feet above the ground. The angle between the wire and the vertical tower is 47 degrees. Approximate the length of the guy wire to the nearest foot.

Answers

The length of the guy wire is 273.5 feet.

Trigonometric ratio show the relationship between the sides and angles of a right angled triangle.

Let d represent the length of the guy wire.

Using trigonometric ratios:

sin(47)=(200)/(d) \n\nd=(200)/(sin(47)) \n\nd=273.5\ feet

The length of the guy wire is 273.5 feet.

Find out more at: brainly.com/question/25122825

Answer:  293 feet

==========================================

Explanation:

See the attached image below. The information that the tower is 500 ft is never used. Focus solely on triangle ABD (ignore point C).

AB = 200

AD = x = unknown

angle ABD = angle B = 47 degrees

Use the cosine rule to help find x

---------

cos(angle) = adjacent/hypotenuse

cos(B) = AB/BD

cos(47) = 200/x

x*cos(47) = 200

x = 200/cos(47)

x = 293.255837127926

Rounding to the nearest foot, we get 293 feet as the answer.