Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
Answer:
The values of x = 12 and y = 8.
Step-by-step explanation:
From the given figure ,
ΔMTW≅ΔBGK
That is, these two triangles are congruent.
If two triangles are congruent , all the corresponding angles and corresponding sides are equal.
Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.
Therefore , ∠MTW = ∠BGK
(4x - 3)° = 45°
4x = 48°
x = 12
Since ∠MTW = 45° ,
∠TMW = 180 - (41 +45)
= 180 - 86
=94°
From congruency ,
∠TMW = ∠GBK
94° = 11y + 6
11y = 88°
y = 8
Answer:
12 ≮ 12
False
Step-by-step explanation:
19 − 7 < 12
12 ≮ 12 (<--- line through the less than sign)
False
(I'm not 100% sure)
Let the speed of the current be y and the speed of Micah's sailing speed be x. Then 4.48/(x + y) = 0.32
4.48/(x - y) = 0.56
0.32x + 0.32y = 4.48 . . . (1)
0.56x - 0.56y = 4.48 . . . (2)
(1) x 7 => 2.24x + 2.24y = 31.36 . . . (3)
(2) x 4 => 2.24x - 2.24y = 17.92 . . . (4)
(3) - (4) => 4.48y = 13.44
y = 3
From (1), 0.32x + 0.32(3) = 4.48
0.32x = 4.48 - 0.96 = 3.52
x = 3.52/0.32 = 11
Therefore, the speed of the current is 3 miles per hour. Answer is 3 miles per hour
<h2><u>We can solve it using trigonometric values.</u></h2>
<h3>So , <u> </u><u>sin</u><u> </u><u>θ</u><u> </u> = ( Perpendicular / Hypotenuese )</h3>
<h2><u>Given</u><u> </u></h2>
Perpendicular = x
Hypotenuese = 30
<h2>∴ x ( Perpendicular)= 15√2 <u>Ans</u><u>.</u></h2>
