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neonofarm [45]
2 years ago
15

PLEASE HELP MEE I DONT KNOW HOW TO DO THIS

Mathematics
1 answer:
steposvetlana [31]2 years ago
6 0

Answer:

3053.63 Hope this helps!

Step-by-step explanation:

V=4

3πr3=4

3·π·93≈3053.62806

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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK
stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

AD\parallelBC

\angle KBC=\angle KAD              (Corresponding angles)

\angle KCB=\angle KDA             (Corresponding angles)

By AA rule of similarity

\triangle KBC\sim \triangle KAD

Corresponding sides of similar triangles are proportional.

\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}

\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{2}{3}

3x=2x+3

x=3

The length of BK is 3 m.

\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{y}{y+1.2}=\frac{2}{3}

3y=2y+2.4

y=2.4

The length of CK is 2.4 m.

5 0
3 years ago
Read 2 more answers
The sum of 2 numbers is 23. seven less than five times the smaller is equal to the largrr
kirill115 [55]
The answer is 5 and 18. This is because 5 times five is 25. 25 minus 7 is 18.
4 0
3 years ago
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4.3,5.5,6 1/6, 15/4, 4 3/8 greatest to least
mafiozo [28]

Answer: 6 1/6 , 5.5, 4 3/8, 4.3, 3.75

Step-by-step explanation:

4.3 , 5.5 , 36, 3.75, 4.375

5 0
3 years ago
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Need help to find x. rounded to the nearest tenth or as a fraction/whole number?
Komok [63]

Answer:

3.5

Step-by-step explanation:

This is a 30-60-90 triangle so the hypotenuse is equal to 2 times \sqrt{3}.

x = 2\sqrt{3} ≈ 3.5

4 0
3 years ago
The first term in an arithmetic sequence is 5. The fourth term in the sequence is −4. The tenth term
d1i1m1o1n [39]

Answer:

<h2>          aₙ = -3n + 8</h2>

Step-by-step explanation:

The nth term of an arithmetic sequence:  aₙ = a₁ + d(n - 1)

{d = common difference}

a₁ = 5

a₄ = 5 + d(4 - 1)

-4 = 5 + 3d

-4 - 5 = 3d

3d = -9

 d = -3

Therefore;

                  aₙ = 5 + (-3)(n - 1)

                   aₙ = -3n + 8

Check:  a₁₀ = 5 + (-3)(10 - 1) = 5 - 27 = - 22

3 0
3 years ago
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