Answer:
here's the solution :-
1.) =》the base of the larger triangle is the length of shadow formed by cactus .
so, length of cactus is : 33 feet.
2.) now, jn the smaller triangle formed by liam and it's shadow : -
=》
since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle
hence, the both triangles are similar
( by A.A postulate )
now since the both triangles are similar, the the sides will be proportional ,
=》

=》

=》

=》

so, length of the cactus = x = 22 feet
We have
1.234 in-----> 1+(0.234) in
we know that
1/64=0.015625
so
0.234/0.015625=14.98-----> 15
15/64-----> 0.234
therefore
1.234 in is equal to -----------> 1 15/64 in
the answer is
1 15/64 in
Answer: The bus traveled at an average speed of 40 km/h and she - 2385764. ... bus from her home to the bank and then walked back to her home along the same route. ... To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x. 1 ... Therefore, it took Talia 0.8 hour to walk home or 48 minutes
Step-by-step explanation:
Step-by-step explanation:
3x+1 = 5x-1
3x+2= 5x
2x= 2
x= 1
<em> x₁ = - 1</em>
<em> x₂ = 2</em>
- Step-by-step explanation:
<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>
<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>
<em>2ˣ = n</em>
<em>2n² - 9n + 4 = 0</em>
<em>2n² - n - 8n + 4 = 0</em>
<em>n(2n - 1) - 4(2n - 1) = 0</em>
<em>(2n - 1)(n -4) = 0</em>
<em>2n - 1 = 0 => n₁ = 1/2</em>
<em>n - 4 = 0 => n₂ = 4</em>
<em />
<em>2ˣ = 1/2 => 2ˣ = 2⁻¹ => x₁ = - 1</em>
<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>