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3 years ago

7 2/9 - 5 5/7 turn into a mixed number please :))

Mathematics

1 answer:

larisa86 [58]3 years ago

3 0

Answer:

12 1/9 is your answer.

Step-by-step explanation:

Since 7+5 is 12 you got your first part. Now you have to find a thing that matches which is 1/9

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a person is standing on top of a smaller building looking across the street at a taller building, which is 260 feet away horizon

Anuta_ua [19.1K]

The height of the smaller building is 94.63 feet, computed using the trigonometric ratios.

In the question, we take AB to be the taller building, where A is its top and B is its base, CD to be the shorter building, where C is its top and D is its base, and CE to be the perpendicular from C to AB.

Given that the horizontal distance between the two buildings is 260 feet, we can say that BC = CE = 260 feet.

The angle of elevation from the top of the shorter building to the top of the taller building is 30°, that is, ∠ECA = 30°.

The angle of depression from the top of the shorter building to the base of the taller building is 20°, that is, ∠ECB = 20°.

When ∠ECB = 20°, then ∠CBD = 20°, as they are alternate angles.

We are asked to find the height of the shorter building, that is, we are asked to find CD.

In ΔCBD,

tan ∠CBD = CD/BD {perpendicular/base},

or, tan 20° = CD/260,

or, CD = 260*tan 20° = 260*0.36397023426 {∵ tan 20° = 0.36397023426},

or, CD = 94.6322609092.

Therefore, the height of the smaller building is 94.63 feet, computed using the trigonometric ratios.

Learn more about heights and distances at

brainly.com/question/2004882

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7 0

1 year ago

The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles

Vitek1552 [10]

Multiply the dust particle mass by 5 billion..
On a calculator use the "EE" button is shorthand for: x10^ whatever power you want.
5x10^9 x 7.53x106-10 = 3.765

6 0

2 years ago

Read 2 more answers

(3 points) Blades of grass Suppose that the heights of blades of grass are Normally distributed and independent, with each heigh

NemiM [27]

The final answer is:

a) P( Y < 42.5 ) = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

$\sum_{i =1}^{n}x_{i}$ follows an approximately normal distribution with a mean $n\mu$ and standard deviation $\sqrt{n }\sigma$

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

$Y = \sum_{i =1}^{10}x_{i}$

Distribution of Y is normal with,

Mean = $\mu _{y}=10*4 = 40$ and standard deviation $= \sigma _{y}=\sqrt{10}*0.75 = 2.3717$

P( Y < 42.5 )

Using normal distribution formmula,

$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}$

=NORMDIST( x, mean, SD , 1 )

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 ) = 0.8541

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

$f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}$

P( Y < 40.5 ) =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165 = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 ) = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

To learn more about the normal distribution visit,

brainly.com/question/4079902

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5 0

1 year ago

2 PONS

Margaret [11]

The right answer is of option A.

Look at the attached picture⤴

Hope it will help you...

8 0

3 years ago

A score of "3" on a par 5 hole is also known as a(n) _____.

den301095 [7]

The correct answer is "eagle." A score of "3" on a par 5 hole is also known as an eagle. Albatross on the other hand is a score of 3-under par on a hole. A birdie is universally known as a score of 1-under par on a hole. An eagle is 2-under par or 3-under par 5.

Here are the choices.
eagle
birdie
bogey
par

7 0

2 years ago