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Sunny_sXe [5.5K]
3 years ago
10

A 9.0 ladder rests against the side of a wall. The bottom of the ladder is 1.5 meters from the base of the wall. Determine the m

easurement of the angle between the ladder and the ground.
Mathematics
1 answer:
maria [59]3 years ago
8 0
Well we know that the 9.0 meter ladder is the hypotenuse And it is a right triangle with base of 1.5 meters. we have the adjacent and the hypotenuse. which is cosine. So:
cos (a) = adjacent/hypotenuse
cos (a) = 1.5/9.0
cos (a) = 1 / 6
a = cos^-1 (1 / 6)
a = 80.4 degrees
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Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x)
Inessa [10]

Given :

Everyday Isabel swims 10-20 laps in a 50 meter pool.

The amount of time she spends swimming is represented by the function f(x) = 3x .

To Find :

The speed of Isabel.

Solution :

Distance travelled in x laps is, D = 50x .

It is given that time taken is, t = 3x .

So, speed of Isabel is given as :

Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s

Hence, this is the required solution.

6 0
3 years ago
(40 POINTS)
34kurt

Answer:

1.   y= 25400(1 + 0.11)^x

2.  2019

Step-by-step explanation:

1. y = a(1 + r)^x       <em> </em>

<em>(exponential growth formula :</em>

<em>a = initial value (the amount before measuring growth or decay) </em>

<em>r = growth or decay rate (usually represented as a percentage and expressed as a decimal) </em>

<em> x = number of time units that have passed)</em>

y= 25400(1 + 0.11)^x

so in 1 year, in 1996, we would say

y=25400(1+0.11)^1

y=25400(1.11)

y=28194

2. I found the answer by plugging in numbers into x

with x = 24

y= 25400(1+0.11)^24

y= 310874

so in 24 years, the population will surpass 302438 which would be 1995+24= 2019

3 0
3 years ago
Find the volume of this rectangle pyramid
Naily [24]

Answer:

V=105yd^{3}

Step-by-step explanation:

V= LxWxH/3

V=9x7x5/3

V=105yd^{3}

8 0
3 years ago
IS What is the measure of angle x?<br> Enter your<br> answer in the box.<br> X=
STatiana [176]

Answer:

Hello! answer: x = 83

Step-by-step explanation:

x = 83 because 83 + 83 + 41 + 41 + 56 + 56 = 360

Hope this helps!

6 0
3 years ago
Please help screenshot provided
Sidana [21]

then

=(3√3+4√3+5√3) /3

=4√3 ans

5 0
2 years ago
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