If you want to find the total in the bank account after the 6 withdrawals it would be a -$68.
What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°
What we are looking for:
Toby's Angle = ?
The distance x = ?
We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.
Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°
Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²<span>− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.
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x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m
∴The distance, x, between two landmarks is 69.31m
I’m confused what do we have to do with the promblem do we Evaluate the function or..... if u evaluate the function the answe is 2x +10= x= 10=18x =
Answer: 5 minutes per balloon sculpture and 7 balloons per sculpture
Step-by-step explanation:
Answer:
(y+2)= -3(x-7)
Step-by-step explanation:
We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where m is the slope and b is the y-intercept value.
We can substitute the slope into the formula giving:
y
=
−
3
x
+
b
Next, we can substitute the values from the points in the problem for x and y and solve for b
:
−
2
=
(
−
3x
7
)
+
b
−
2
= −
21
+
b
21
−
2
=
21 −
21
+
b
19
=
0
+
b
19
=
b
We can now substitute the slope from the problem and the value for b we calculated into the formula to write the equation.
y
=
−
3
x
+
19
Another process is to use the point-slope formula. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where m is the slope and (
x
1
,
y1
) is a point the line passes through.
Substituting the slope and values from the points in the problem gives:
(y
−
−
2
)
=
−
3
(x-7)
(
y
+
2
)
= −
3
(
x
−
7
)
