Answer:
44.68
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
44.6825 rounded to the nearest hundredths place is 44.68
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Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>
By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
,- The opposite side of angle A
, - The angle C is to be found, and
- The length of the side opposite to angle C
.
.
.
.
Note that the inverse sine function here
is also known as arcsin.
<h3>17</h3>
By the law of cosine,
,
where
,
, and
are the lengths of sides of triangle ABC, and
is the cosine of angle C.
For triangle ABC:
,
, - The length of
(segment BC) is to be found, and - The cosine of angle A is
.
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
<h3>18</h3>
For triangle ABC:
,
,
, and- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
<h3>15</h3>
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is
, and - The sine of angle D is
.
Apply the law of sine:

.
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint.
<h2><u>
14in </u></h2>
9514 1404 393
Answer:
A, B, D
Step-by-step explanation:
The sides in order from smallest to largest are ...
AC, BC, AB
Then the opposite angles in order from smallest to largest are ...
B, A, C
Let's consider the choices:
A. m∠A < m∠C --- true
B. m∠B = m∠C --- true
C. m∠A < m∠B --- false
D. m∠B < m∠A < m∠C --- true
The ratio of the surface area to the volume will decrease