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SOVA2 [1]
2 years ago
12

X

Mathematics
1 answer:
9966 [12]2 years ago
6 0
The answer will be x=23
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Triangle A B C is shown. Angle A B C is 95 degrees and angle B C A is 45 degrees. The length of A B is c and the length of B C i
NARA [144]

Answer:

(B)c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction

c=\dfrac{3 * \sin 45}{sin 40}

Step-by-step explanation:

In Triangle ABC is shown.

\angle A B C= 95 degrees

\angle B C A = 45 degrees.

|AB|=c

|BC|=3.0 cm

\angle A+\angle B+\angle C=180^\circ\\\angle A+95+45=180\\\angle A=180-140=40^\circ

Using the Law of Sines

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

\dfrac{3}{\sin 40}=\dfrac{c}{\sin 45}\\\\$Cross multiply\\c*\sin 40 =3 * \sin 45\\\\c=\dfrac{3 * \sin 45}{sin 40}

The correct option is B.

6 0
3 years ago
Read 2 more answers
Put the following equation of a line into slope-intercept form, simplifying
Delicious77 [7]
Slope intercept form :
y= -4/3x -2
6 0
3 years ago
Place
Anastaziya [24]

Answer:

P(A\ and\ B) = \frac{3}{7}

Step-by-step explanation:

<em>Your question is not well presented; (See Attachment for complete details)</em>

<em></em>

Required

Find P(A n B)

where

A = Event that the place is a city

B = Event that the place is in North

The first step is to get the sample space;

Let S represent the sample space;

S = \{India,\ Tokyo,\ Houston,\ Peru,\ New York,\ Tijuana,\ Canada \}

n(S) = 7

The next is to list events A and B

A = City

A = \{Tokyo,\ Houston,\ New York,\ Tijuana\}

B = North America

B = \{Houston,\ New York,\ Tijuana,\ Canada\}

The next is to list common elements in A and B

A\ n\ B = \{Houston,\ New York,\ Tijuana\}

n(A\ and\ B) = 3

The probability of A and B is calculated as follows;

P(A\ and\ B) = \frac{n(A\ and\ B)}{n(S)}

Substitute n(A\ and\ B) = 3 and n(S) = 7 in the expression above

P(A\ and\ B) = \frac{3}{7}

7 0
3 years ago
Use the formula C = 2(3.14)r to find the radius, r, for a circle with a circumference of 125 centimeters. Round your answer to t
mihalych1998 [28]
125/3.14 = 6.31 radius
6 0
3 years ago
I want to be a teacher some day and i know this question----------What is -15 -(-8)=? remember a negitive plus a negitive equals
irina [24]
Answer is -7 because -15+8=-7
8 0
3 years ago
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