The answer is 4 feet.
Draw a line segment from D perpendicular to AC and intersect AC at F.
triangle ADF is a right triangle, with angle AFD=90, Angle DAF=half of BAC=30
in a 30-60-90 triangle, the shortest side is half of the hypotenuse. the hypotenuse AD=8, so DF=4
Draw a line segment perpendicular from D to AB and intercept AB at E.
DE is also 4 feet, same as above.
Answer:
B. 16 cubic Units
Step-by-step explanation:
take the height × length × width and that would be your answer... in this case it would be 4×2×2 which equals to 16.
Answer:
Volume of the cube = 10^3 = 1000 units.
Total volume of the cube + the prism = 1000 + 2
= 1020 cubic units.
Step-by-step explanation:
sorry if i get it wrong
Answer:
y = 192
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 16 and z = 2 when x = 42
k =
=
= 336
y =
← equation of variation
When x = 14 and z = 8, then
y =
= 192
<h3>
<u>Answer:</u></h3>
52.38 inch² & 261.90 inch²
<h3>
<u>Step-by-step explanation:</u></h3>
Here we need to find the area of the sector . So according to formula we know the area of sector as ,
Here we can see that the central angle subtended by the arc is 60° and the radius of the circle is 10 inches . So the required area would be ,
=> Area = ∅/ 360° × π r²
=> Area = 60°/360° × 22/7 × (10in.)²
=> Area = 1/6 * 22/7 * 100 in²
=> Area = 52 .380 in²
<h3>
<u>★</u><u> </u><u>Hence </u><u>the </u><u>area </u><u>o</u><u>f </u><u>the </u><u>red</u><u> </u><u>sector </u><u>is </u><u>5</u><u>2</u><u>.</u><u>3</u><u>8</u><u> </u><u>inch²</u><u>.</u></h3>
<u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u>
Now let's find out the area of blue sector .The angle subtended by the arc will be (360-60)°=300° .
=> Area = 300/360 × 22/7 × 100 in²
=> Area = 261. 90 in²
<h3>
<u>★</u><u> </u><u>H</u><u>ence </u><u>the </u><u>area </u><u>of </u><u>blue </u><u>sector </u><u>is </u><u>2</u><u>6</u><u>1</u><u>.</u><u>9</u><u>0</u><u> </u><u>inch</u><u>²</u><u>.</u></h3>

