Answer: The surface area of the sides of the sandbox that Gabe wants to paint is 47ft2
Step-by-step explanation:
Hi to answer this we have to apply the formula:
Surface Area of a rectangular prism = 2lw + 2wh + 2lh
Where:
l= length
w= width
h= height
Since the sandbox is open , it has one less surface (length x width), we have to add only one lw term.
Surface Area of the sandbox = lw + 2wh + 2lh
A = (4x5) + 2( 5x1.5) + 2( 4x1.5)
A = 20+15+12
A= 47 ft2
Answer:
4,188,790,200 cubic miles to the nearest hundred.
Step-by-step explanation:
That will be the volume of an imagined sphere with radius 1000 miles.
= 4/3 * pi * (1000)^3
= 4,188,790,200 cubic miles.


in the given interval when

.

when

.
Supplementary angles are two angles that add up to 180°.
STEP 1:
find the value of x
x= smaller angle
10x + 48= larger angle
Add the two angles above to equal 180.
x + (10x + 48)= 180
combine like terms
11x + 48= 180
subtract 48 from both sides
11x= 132
divide both sides by 11
x= 12° smaller angle
STEP 2:
find the value of the second angle
=10x + 48
=10(12) + 48
=120 + 48
=168° larger angle
CHECK:
12° + 168°= 180°
180°= 180°
ANSWER: The smaller angle is 12° and the larger angle is 168°.
Hope this helps! :)
Answer:
angle OAM and OBM are right angles because tangents form right angles with radii.
AO=BO and MA=MB
Quadrilateral MAOB =360 degrees
so angles AOB and AMB=90 degrees each
angle MBF=90 degrees
M is the midpoint of FA so MA=MF
MB=MF
Triangle MBF is a right triangle because angle BMF is 90 degrees and MB=MF