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Maru [420]
3 years ago
12

Find the area of a triangle when

Mathematics
1 answer:
AfilCa [17]3 years ago
3 0

Answer:

The area of the triangle = 31.5 feet² ⇒ answer (c)

Step-by-step explanation:

∵ Area of any Δ = 1/2 (side 1)(side 2)(sin the angle between them)

∴ The area of the Δ = 1/2 (b)(c) sin(∠A)

∵ b = 11 feet

∵ c = 10 feet

∵ m∠A = 35°

∴ Area of the Δ = 1/2 (11)(10) (sin(35)) = 31.547 feet²

∴ The area of the triangle = 31.5 feet²

∴ The answer is (c)

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For what values of k does the line y = kx –4 pass through the point of intersection of the lines y=2x–5 and y=–x+1?
gregori [183]

Answer:

<u>k = 1.5</u>

Step-by-step explanation:

To find the value of k, at first we will find the point of intersection of the lines

y =2x –5 and y = –x+1

Solve the equations to together by equating the values of y

So, 2x - 5 = -x + 1

Solve for x

3x = 6 ⇒ x = 6/3 = 2

So, y = -x + 1 = -2 + 1 = -1

So, the point of intersection of the lines ⇒ (2,-1)

line y = kx –4 pass through the point of intersection of the lines

so, line y = kx –4 pass through the point (2,-1)

So, at x = 2 , y = -1

∴ -1 = 2k - 4

Solve for k

-1 + 4 = 2k

2k = 3

k = 3/2 = 1.5

<u>So, the value of k is 1.5</u>

5 0
4 years ago
Michelle wants to save $150 for a trip to the Six Flags amusement park. if she saves $12 each week, how many weeks will it take
Vadim26 [7]
Since 150 is the total and 12 is per week you can actuality do this equation

T= Total,150$ W=Amount saved,12$


150=12*X or 150/12=X


While X = 12.5 Weeks So, the correct answer
is 12.5 Weeks it can be stated As,

12 weeks 3 days 12 hours (X=12.5)

5 0
3 years ago
Read 2 more answers
Help pleaseeeeeeeeeee
Verdich [7]

Answer:

D) Rotation of 180 degrees about its center.

Step-by-step explanation:

because when you turn that shape in 180 degres is going to be in the same coordinates.

4 0
3 years ago
Need answer please limited time
never [62]

Answer:

x = 25

Step-by-step explanation:

4x+50 and 150 are vertical angles which means they are equal.

4x+50 =150

Subtract 50 from each side

4x+50-50 = 150-50

4x = 100

Divide each side by 4

4x/4 = 100/4

x = 25

6 0
4 years ago
Calculate the following absolute values (|-1||-3|)^2
Ilya [14]

Answer:

the asnwer is ) 9

Step-by-step explanation:

1 Simplifica |-1|∣−1∣ a 11.

{(1\times |-3|)}^{2}(1×∣−3∣)

​2

​​  

2 Simplifica |-3|∣−3∣ a 33.

{(1\times 3)}^{2}(1×3)

​2

​​  

3 Simplifica 1\times 31×3 a 33.

{3}^{2}3

​2

​​  

4 Simplifica.

9

8 0
3 years ago
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