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pashok25 [27]
2 years ago
7

Find the distance CD rounded to the nearest tenth C=(5,6) D=(2,2)

Mathematics
1 answer:
Dmitriy789 [7]2 years ago
3 0
2,2 is 3,4 away from 5,6 and 3²+4²=25=5² so CD=5
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Solve the triangle. Round your answers to the nearest tenth. Law of sines 6 A. M∠C=34 m ∠ C = 34 , b=25 b = 25 , c=16 c = 16 B.
PolarNik [594]

Answer:

A  = 43.0^o

B = 55.0^o

BC = 20.0

Step-by-step explanation:

I will solve this question with the attached triangle

From the attachment, we have:

\angle C =82^o

AB = 29

AC = 24

Required

Solve the triangle

First, we calculate \angle B using sine law:

\frac{AC}{\sin(B)} = \frac{AB}{\sin(C)}

This gives:

\frac{24}{\sin(B)} = \frac{29}{\sin(82^o)}

\frac{24}{\sin(B)} = \frac{29}{0.9903}

Cross multiply

\sin(B) * 29 = 24 * 0.9903

\sin(B) * 29 = 23.7672

Divide both sides by 29

\sin(B) = 0.8196

Take arcsin of both sides

B = \sin^{-1}(0.8196)

B = 55.0^o

Next, calculate \angle A using:

A + B + C = 180^o --- angles in a triangle

A + 55^o + 82^o = 180^o

Collect like terms

A  = 180^o-55.0^o - 82^o

A  = 43.0^o

Next, calculate BC using sine laws

\frac{BC}{\sin(A)} = \frac{AB}{\sin(C)}

This gives:

\frac{BC}{\sin(43.0)} = \frac{29}{\sin(82)}

\frac{BC}{0.6820} = \frac{29}{0.9903}

Make BC the subject

BC = \frac{29*0.6820}{0.9903}

BC = 20.0

6 0
2 years ago
At what point do 3x-2=26 and 5x=7y+58 intersect?
shutvik [7]

3x-2=26\qquad\text{add 2 to both sides}\\\\3x=28\qquad\text{divide both sides by 3}\\\\\boxed{x=\dfrac{28}{3}}\\\\\text{Put the value of x to the second equation}\ 5x=7y+58\\\\5\left(\dfrac{28}{3}\right)=7y+58\qquad\text{multiply both sides by 3}\\\\(5)(28)=21y+174\\\\140=21y+174\qquad\text{subtract 174 from both sides}\\\\-34=21y\qquad\text{divide both sides by 21}\\\\\boxed{y=-\dfrac{34}{21}}\\\\Answer:\ \boxed{\left(\dfrac{28}{3},\ -\dfrac{34}{21}\right)}

7 0
3 years ago
The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $11 per ticket to the
sattari [20]

Answer:

145 + 19t

Step-by-step explanation:

7 0
2 years ago
HELP PLEASE!!!!! PLEASE EXPLAIN WHEN GIVING THE ANSWER!!!! GIVING BRAINLIEST TO THE BEST EXPLANATION!!!!
atroni [7]

Answer:Simplificando

5 (2j + 3 + j) = 0

Reordene os termos:

5 (3 + 2j + j) = 0

Combine termos semelhantes: 2j + j = 3j

5 (3 + 3j) = 0

(3 * 5 + 3j * 5) = 0

(15 + 15j) = 0

Resolvendo

15 + 15j = 0

a verdadeira questão é por que o vizinho de Sarah quer dentes de tubarão

Step-by-step explanation:

Mova todos os termos contendo j para a esquerda, todos os outros termos para a direita.

Adicione '-15' a cada lado da equação.

15 + -15 + 15j = 0 + -15

Combine termos semelhantes: 15 + -15 = 0

0 + 15j = 0 + -15

15j = 0 + -15

Combine termos semelhantes: 0 + -15 = -15

15j = -15

Divida cada lado por '15'.

j = -1

Simplificando

j = -1

Tubarão ou cação é um tipo de peixe de esqueleto cartilaginoso e um corpo hidrodinâmico (com exceção dos Squatiniformes, Hexanchiformes e Orectolobiformes)

4 0
2 years ago
Read 2 more answers
James swam 3 and 1/3 miles. For 2/6 of his swim he did the backstroke. How many miles did he swim the backstroke?
aksik [14]

Answer:i believe thats only a third of a mile


Step-by-step explanation:

if you have the both take on the same denominator the 3 miles would be 3/3 and then it would be 6/6 and the 1/3 mile would become 2/6 hope i helped

5 0
3 years ago
Read 2 more answers
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