Answer:
height = 4/9 ft
Step-by-step explanation:
Area of a triangle is
0.5 x base x height = area
Note: 10 2/3 = 32/3
85 1/3 = 256/3
0.5 x 32/3 x height = 256/3
multiply by 6 to remove all fractions
3 x 64 x 6height = 512
192 x 6 height = 512
6 height = 8/3
height = 4/9
Answer:
1/729
Step-by-step explanation:
a negative exponent is fractioned like 1/9^3. Which can be simplified as 1/729 ans 9^3 = 729
The area of the whole is: 5×3=15
The area of the triangle is: 2×3/2=3
So the area of the shades region is 15-3=12
Answer:
$13.34
Step-by-step explanation:
Answer:
m<RST = 32°
m<TSQ = 58°
Step-by-step explanation:
m<RST here, meaning the angle of the whole diagram is 90 degrees as you can see.
m<RSQ + m<TSQ = m<RST
15x — 43 + 8x + 18 = 90
23x — 25 = 90
+25 +25
---------------------------
23x = 115
/23 /23
----------------------------
x = 5
Now, plug this into the equation for m<RSQ and m<TSQ to find their values.
m<RSQ = 15x — 43
= 15x - 43
= 15(5) - 43
= 75 - 43
= 32
m<TSQ = 8x + 18
= 8x + 18
= 8(5) + 18
= 40 + 18
= 58
Now, check to see if our values are right or not.
15x — 43 + 8x + 18 = 90
15(5) — 43 + 8(5) + 18 = 90
75 - 43 + 40 + 18 = 90
32 + 40 + 18 = 90
90 = 90 <u>CORRECT</u>