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3 years ago

Can you help me solve the Missing Tangents? 7-15

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

You know from SOH CAH TOA that
.. tan(θ) = Opposite/Adjacent

Then the relations for any of these variables will be
.. Opposite = Adjacent * tan(θ)
.. Adjacent = Opposite / tan(θ)
.. θ = arctan(Opposite/Adjacent)

7. x is opposite.
.. x = (30 cm)*tan(26°) ≈ 14.63 cm

8, 9, 10, 14. x is opposite

11. x = arctan(30/60) ≈ 26.57°

12, 13, 15. x is the angle

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A window is twice as long as it is wide. The area of the window is 2x where x

Alchen [17]

Answer:

When we have a rectangle of length L and width W, the area is calculated as:

A = W*L

In this case, W = x, and the area is:

A = 2*x

Then we must have L = 2.

We know that the area of the window and the frame (together) is:

a = 2*x^2 + 12*x + 16

The area of the frame alone, will be equal to the difference between the area of both objects (a) and the area of the window alone (A)

area of the frame = a - A

= (2*x^2 + 12*x + 16) - (2*x) = (2*x^2 + 10*x + 16)

This is the area of the frame

5 0

3 years ago

James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?

Svetach [21]

$709.21
$361.36 for week one + $347.85 for week two = $709.21 total for both weeks

3 0

3 years ago

Factor 3/4 out of 3/4z + 6

Alenkasestr [34]

ANSWER

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

EXPLANATION

We want to factor
$\frac{3}{4}$
out of

$\frac{3}{4} z + 6$

The first term is already having a factor of
$\frac{3}{4}$
The constant term which is the second term is not having a factor of
$\frac{3}{4}$
so we need to use a trick of multiplying and dividing by the same factor to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} z + \frac{3}{4} \times \frac{6}{ \frac{3}{4} }$

We can now factor
$\frac{3}{4}$
out of the right hand side to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + \frac{6}{ \frac{3}{4} } )$
Let us rewrite the right most fraction using the normal division symbol.

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \div \frac{3}{4} )$

We simplify to obtain,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 6 \times \frac{4}{3} )$

This further gives us,

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 2 \times 4 )$

$\frac{3}{4} z + 6 = \frac{3}{4} (z + 8 )$

5 0

4 years ago

Read 2 more answers

Jess wants to spend less than

Wewaii [24]

The maximum number of packs Jess can buy is 3 packs.

8 0

2 years ago

Which statements accuratley describe the function f(x)=3(16)^3/4x

Varvara68 [4.7K]

Answer:

line

x-intercept | 0

f-intercept | 0

normal vector | (-3072/sqrt(9437185), 1/sqrt(9437185))≈(-1., 0.000325521)

slope | 3072

curvature | 0

Step-by-step explanation:

7 0

3 years ago