Answer:
-21°
Step-by-step explanation:
the temperature was -14 degrees and then dropped by 7 degrees which meant that it became -21 degrees because -14 - 7 = -21
Answer:
after 5 seconds
Step-by-step explanation:
Given
h(x) = - x² + 3x + 10
When the rock hits the road the height h = 0
Equate h(x) to zero and solve for x, that is
- x² + 3x + 10 = 0 ( multiply through by - 1 )
x² - 3x - 10 = 0 ← in standard form
(x - 5)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
However, x > 0 ⇒ x = 5
Thus the rock hits the road after 5 seconds.
Answer:
No, He is not correct.
the sum of all interior angles of triangles is 180°.
And, If an exterior angle of a triangle is acute ⇒ The adjacent interior angle is obtuse
Also, we know that an exterior angle of a triangle is equal to the sum of the opposite interior angles
Therefore, the sum of two interior angles is acute.
'The total sum of the all interior angles of the triangle =One obtuse angle+ acute sum of the angles' can be equal to 180°.
For example let the exterior angle of a triangle is 80° ( acute)
Therefore, the adjacent angle of this exterior angle = 180-80=100°
And, sum of the opposite angles = 80°
Therefore total sum of the interior angles = 100 + 80 =180°
Step-by-step explanation:
The answer is A. pi*.75^2*52.
The trunk is of cylindrical shape.
The volume (V) of a cylinder:
V = π r² h
r - radius
h - height
It is given:
h = 52 feet (trunk is long 52 foot)
d = 1.5 feet (diameter of the trunk is 1.5 feet across)
r = d/2 = 1.5/2 = 0.75 feet
Now, just substitute h and r and π (π = 3.14) in the formula for the volume of the cylinder:
V = π r² h
V = 3.14 · 0.75² · 52
Thus, the correct choice is A. pi*.75^2*52