Answer:
56
Step-by-step explanation:
hope it helps
Answer:
Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.
2. 45, 135, 135
Step-by-step explanation:
2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.
For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1
180-45=upper angle 1
upper angle 1 = 135 degrees
Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.
Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.
135+135=270 degrees (sum of upper angles)
45+45= 90 degrees (sum of base angles)
270+90=360
So the angle measures of the other three angles are 135, 135, and 45.
Hope this helps!
Answer:
0.1 rad/s
Step-by-step explanation:
Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft
Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians
Remember that the tan of an angle is OPP/HYP, and so
tan A = h/25, on differentiating, we have
d tan A/dA = sec^2 A = (1/25) dh/dA
Next, we have
25 sec^2 A * dA/dt= dh/dt = 5
Making dA/dt the subject of formula, we have
dA/dt = (1/5) cos^2 A
but cos^2 A from trigonometry = 1/2, this means that
dA/dt = .1 radians/second
If you want to convert to degrees, your have
.1 Rad/s( 180 deg/rad) = 18 degrees/second
Answer:
b=20 yards
Step-by-step explanation:
15^2+x^2=25^2
225+x^2=625
x^2=400
x=20
Answer:
$32 + $0.25x < $50
Step-by-step explanation:
1.he buy a backpack for $32
2. he buys x amount of pencils. Each pencil cost 0.25. ($0.25x)
3. all of that is less than(<) $50
