Answer:
Marcia is 47 inches tall.
Step-by-step explanation:
Let's solve this step by step and try to visualize the situation.
• Carl: 73 inches tall
The second part of the question states that Carl's heigh is twenty-one inches less than two times Marcia's height. Add 73 + 21 to equal 94. Since Carl is 21 inches less that means that Maria is 21 inches more ( so that's why I added instead of subtracting) because we are trying to find Maria's equation.
Let x be Marcia's height
2x = 94
• The question staes that 73 is 21 inches less than two times Marcia's height which means that the equation 2x = 94 applies because 73 + 21 = 94
After simplifying the equation, we can get the answer that Marcia is 47 inches tall.
Answer:
Step-by-step explanation:
x + 5/y^2
x = 2/3
y = 1/3
2/3 + 5 / (1/3)^2 Expand (1/3)^2
2/3 + 5 / (1/9) Put a 1 underneath the 5
2/3 + 5/1 / (1/9) Invert and multiply the second expression
2/3 + 5/1 * 9 Simplify 5/1
2/3 + 5* 9 Combine
45 2/3
I'm not getting any of these. It's possible I'm misreading the question, but what you've given is the result I got. All I can suggest is that you ask your teacher how this is done.
The two original functions are 4x+9y=7 and 4x-9y=9
To use the combination method, add all the values of the two equations together to cancel out one of the variables
4x+4x+9y-9y=7+9
8x=16
8x/8=16/8
x=2
4(2)+9y=7
8+9y=7
8-8+9y=7-8
9y=-1
y=-
Answer:
Distance= 6.6 miles
Bearing= N 62.854°W
Step-by-step explanation:
Let's determine angle b first
Angle b=20° (alternate angles)
Using cosine rule
Let the distance between the liner and the port be x
X² =8.8²+2.4²-2(8.8)(2.4)cos20
X²= 77.44 + 5.76-(39.69)
X²= 43.51
X= √43.51
X= 6.596
X= 6.6 miles
Let's determine the angles within the triangle using sine rule
2.4/sin b = 6.6/sin20
(2.4*sin20)/6.6= sin b
0.1244 = sin b
7.146= b°
Angle c= 180-20-7.146
Angle c= 152.854°
For the bearing
110+7.146= 117.146
180-117.146= 62.854°
Bearing= N 62.854°W
