Answer:
y = -7/2x+3
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -7/2 x+b
Substitute the point into the equation
-4 = -7/2(2) +b
-4 = -7+b
Solving for b
-4+7 = -7+b+7
3 = b
The equation is y = -7/2x+3
Answer:
Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:
Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:
So rewriting both equations using the tangents values, we have that:
From the first equation, we have that:
Using this value of x in the second equation, we have that:
Answer:
6km
Step-by-step explanation:
Area of circle = πr²
Where r = radius, π= 3.14, A = 28.26km²
A = 3.14 x r²
3.14 r2 = 28.26
Divide both sides by 3.14
r²= 28.26/3.14
r² = 9
Square root both sides
r= √9
r= 3
Radius = 3km
Note : Diameter = 2 x radius
Diameter = 3 x 2
Diameter = 6km
I hope this was helpful, Please mark as brainliest.
U need 2 and 1/3 cups to make 1 batch of granola bars and 1/2 of that is 1 and 1/6 cups of almonds. 10-1 and 1/6 is 8 and 5/6
Answer:
For given parallelogram, the value of x = 114° and y = 66°
Step-by-step explanation:
(Refer figure)
Given quadrilateral ABCD is a parallelogram.
m∠A = 66°
m∠B = x°
m∠C = y°
m∠D = 114°
Since by properties of parallelogram, the both pairs of opposite sides of a parallelogram are parallel.
Opposite angles of a parallelogram are congruent ...........................(1)
Consecutive angles of a parallelogram are supplementary ................(2)
Using (1) for given parallelogram ABCD; we get,
m∠B = m∠D
m∠A = m∠C
Therefore x = 114° and y = 66°.
Using (2) to check whether the two consecutive angles are supplementary.
( m∠A + m∠D ) = ( m∠B + m∠C ) = ( m∠C + m∠D ) = 66° + 114° = 180°
Hope it helps!!
