Answer:
Solution with step by step explanation is the image attached below
PLEASE HELP... Students are making necklaces of six beads for their mothers. There are
1 answer:
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Draw a diagram (see attachment)
we can find the length of the ladder first using pythagorean theorem then use cos⁻¹(x) to find the angle measure
or
we can use tan⁻¹(x) to find the angle measure then use cos(x) to find the hyptotonuse
I'll use the first way
alrighty, so we can find the hypotnuse by using pythagoreano therrem which can be used for right triangles
so if legs are a and b and hytponuse is c then
a²+b²=c²
so
legs are 30 and 50
30²+50²=c²
900+2500=c²
3400=c²
sqrt both sides
10√34=c
the length of the ladder is 10√34 in
ok, so we know hyptonuse is 10√34
cos=adjacent/hypotonuse
but we can use cos⁻¹(x)
cos⁻¹(30/(10√34))=x°
use your calculator
59.03≈x°
the degree measure is about 59° and the length of the ladder is 10√34 in or about 59.3in
we can find the length of the ladder first using pythagorean theorem then use cos⁻¹(x) to find the angle measure
or
we can use tan⁻¹(x) to find the angle measure then use cos(x) to find the hyptotonuse
I'll use the first way
alrighty, so we can find the hypotnuse by using pythagoreano therrem which can be used for right triangles
so if legs are a and b and hytponuse is c then
a²+b²=c²
so
legs are 30 and 50
30²+50²=c²
900+2500=c²
3400=c²
sqrt both sides
10√34=c
the length of the ladder is 10√34 in
ok, so we know hyptonuse is 10√34
cos=adjacent/hypotonuse
but we can use cos⁻¹(x)
cos⁻¹(30/(10√34))=x°
use your calculator
59.03≈x°
the degree measure is about 59° and the length of the ladder is 10√34 in or about 59.3in
On the attached diagram you can see all graphs of functions b(x), d(x), m(x) and p(x).
Finding the inverse of a function f(x):
1. First, replace f(x) with y. This is done to make the rest of the process easier.
2. Replace every x with a y and replace every y with an x.
3. Solve the equation from Step 2 for y. This is the step where mistakes are most often made so be careful with this step.
4. Replace y with In other words, you’ve managed to find the inverse.
5. Remember: the domain of f is the range of and the range of f is the domain of
.
Using this algorithm, you can find the inverse only in case C:
for m(x)=-7x:
1. y=-7x.
2. x=-7y.
3. y=-x/7.
4. .
5. The domain and the range of m(x) are all real numbers as well as the domain and the range of
Functions b(x) and p(x) are not one-to-one functions (see attached diagram), then you can't find an inverse function. Function d(x) doesn't include x, then you can't also find an inverse function.
