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3 years ago

Use a trigonometric ratio to find the distance EF.

Mathematics

1 answer:

leonid [27]3 years ago

4 0

Answer:

The height of the building is approximately <u>73 m</u>.

Step-by-step explanation:

The triangle EFG is shown below.

Given:

Length of shadow of building is, $FG=34\ m$

Angle of inclination of Sun with the vertical is 25°.

Therefore, the angle of inclination of Sun with the horizontal is given as:

$\angle G=90-25=65\°$

Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,

$\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m$

Therefore, the height of the building is approximately 73 m.

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single die is rolled twice. Find the probability of rolling an oddodd number the first time and a number greater than 33 the sec

givi [52]

Answer:

$\frac{1}{4}$

Step-by-step explanation:

A single die is rolled twice, we have to find the probability of rolling an odd number in first throw and a number greater than 3 in the second throw.

a) Rolling an Odd number in first throw

A die has total 6 possible outcomes, out of which 3 are odd numbers i.e. 1,3 and 5

So, total number of possible outcomes = 6

Total Favorable outcomes (Odd numbers) = 3

Probability is defined as the ratio of favorable outcomes to total number of outcomes. So,

The probability of rolling an odd number would be = $\frac{3}{6} = \frac{1}{2}$

b) Rolling a number greater than 3 in second throw

Here again total possible outcomes = 6

Favorable outcomes (Numbers greater than 3 are 4, 5 and 6) = 3

So,

The probability of rolling a number greater than 3 = $\frac{3}{6} = \frac{1}{2}$

These two events(rolls) are independent of each other, so the overall probability of both events occurring would be the product of individual probabilities.

So,

Probability of rolling an odd number the first time and a number greater than 3 the second time = $\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

6 0

2 years ago

20 POINTS IF ANSWERED CORRECTLY AND BRAINLIEST PLEASE HELP ME (07.06 LC)

chubhunter [2.5K]

3.5z=2.25z-4.25+6.25
1.25z=2
z=1.6. As a result, this equation have one solution. Hope it help!

6 0

3 years ago

Read 2 more answers

what is a more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs.

jasenka [17]

A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.

<h3>What is a Cylinder?</h3>

A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.

Sphere

This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.

Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.

Learn more about cylindrical slab:

brainly.com/question/9554871

#SPJ1

6 0

1 year ago

a fisherman weighs an ahi tuna (a very large fish) on a scale and gets a reading of 135 pounds. the reading on the scale may hav

mamaluj [8]

Answer:

Coin 1 = quarter

Coin 2 = dine

Coin 3 = penny

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all

barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all are boys. Assume that the probability of having a girl is 47.00%.

a) Create a probability model for the number of children they'll have.

X=1,2,3

P(X=1)=??

P(X=2)= ??

P(X=30=???

(Round to four decimal places as needed

b) Find the expected number of children.

E(X)= ???

c) Find the expected number of boys they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

= 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

= 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

= 0.148875×3 +0.46375×2+0.2491 ×1

= 1.6232

5 0

2 years ago