Repeated Subtraction for 12/6

What is the difference in length between 1 1/4 inch button and a 3/8 inch button

Ksenya-84 [330]

Answer:7/8 of an inch

Step-by-step explanation: 1 and 1/4 inch is 5/4 inches, which can be converted into 10/8

10/8-3/8=7/8

4 0

3 years ago

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6. Two observers, 7220 feet apart, observe a balloonist flying overhead between them. Their measures of the

MaRussiya [10]

Answer:

The ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

Step-by-step explanation:

Let's call:

h the height of the ballonist above the ground,

a the distance between the two observers,

$a_1$ the horizontal distance between the first observer and the ballonist

$a_2$ the horizontal distance between the second observer and the ballonist

$\alpha _1$ and $\alpha _2$ the angles of elevation meassured by each observer

S the area of the triangle formed with the observers and the ballonist

So, the area of a triangle is the length of its base times its height.

$S=a*h$ (equation 1)

but we can divide the triangle in two right triangles using the height line. So the total area will be equal to the addition of each individual area.

$S=S_1+S_2$ (equation 2)

$S_1=a_1*h$

But we can write $S_1$ in terms of $\alpha _1$ , like this:

$\tan(\alpha _1)=\frac{h}{a_1} \\a_1=\frac{h}{\tan(\alpha _1)} \\S_1=\frac{h^{2} }{\tan(\alpha _1)}$

And for $S_2$ will be the same:

$S_2=\frac{h^{2} }{\tan(\alpha _2)}$

Replacing in the equation 2:

$S=\frac{h^{2} }{\tan(\alpha _1)}+\frac{h^{2} }{\tan(\alpha _2)}\\S=h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})$

And replacing in the equation 1:

$h^{2}*(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})=a*h\\h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}$

So, we can replace all the known data in the last equation:

$h=\frac{a}{(\frac{1 }{\tan(\alpha _1)}+\frac{1}{\tan(\alpha _2)})}\\h=\frac{7220 ft}{(\frac{1 }{\tan(35.6)}+\frac{1}{\tan(58.2)})}\\h=3579,91 ft$

Then, the ballonist is at a height of 3579.91 ft above the ground at 3:30pm.

6 0

3 years ago

Mrs. Swanson gives out only one type of candy for Halloween. The local

xxTIMURxx [149]

Answer:

Cost of 18 pounds candy = $22.5

Cost of 10 pounds candy = $12.5

Cost of 1 pound of candies = $1.25

Step-by-step explanation:

6 pounds of butterscotch candies cost $7.50

⇔ 1 pound of same candy costs $\frac{7.50}{6} =$ $1.25

Now, we need to find the cost of 18 pounds of candy:

as, the cost of 6 pounds candy = $7.50

⇔ Cost of 6 x 3 = 18 pounds candy = $7.50 x 3 = $22.5

Cost of 10 pounds candy = 10 x (Cost of 1 pound candy)

= 10 x ($1.25) = $12.5

The unit rate for butterscotch candies = Cost of 1 pound of candies

= $1.25

8 0

3 years ago

Which statement is true about the circumference of a circle? The circumference is equal to the radius of the circle. The circumf

Irina18 [472]

<h3>The true statement about circumference of a circle is: circumference is found by multiplying Pi by the diameter</h3>

Solution:

The circumference of a circle is given as:

$\text{circumference } = 2 \pi r$

Where,

"r" is the radius of circle

We know that,

$diameter = 2 \times radius\\\\d = 2 \times r\\\\d = 2r$

Thus the circumference can also written as:

$\text{circumference } = 2 \pi r\\\\\text{circumference } = \pi \times d$

Thus, the circumference is found by multiplying Pi by the diameter is correct statement

7 0

3 years ago

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I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some

almond37 [142]

Answer:

6.D and F

 6. I DONT KNOW

7. B and D

 8. 48 and 52

 9. m=(3*17)+5

Step-by-step explanation:

might be wrong but i tried and i could figure out 6 sorry

5 0

3 years ago