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seraphim [82]
3 years ago
6

What is the length of EF in the right triangle below?

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0
The square root of 120
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The volume of prism having its base a right angled triangle is 864cm^3.if the length of the sides containing the right angle are
Scrat [10]

Answer:

height: 36 cm

Step-by-step explanation:

volume of triangle prism = 0.5 * base * altitude * height

using the formula:

0.5 * 8 * 6 * height = 864

24 * height = 864

height = 864/24

height = 36 cm

7 0
2 years ago
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The right rectangular prisms are similar.
rewona [7]

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A, B, E

Step-by-step explanation:

8 0
3 years ago
Allison works at a Bank. Her employer offers her a retirement pension plan which will be 1.75% of her average salary for the las
Law Incorporation [45]

9514 1404 393

Answer:

  $41,977.60

Step-by-step explanation:

Allison's average salary for the last 5 years is ...

  (70 +73.1 +75.2 +77.5 +79)/5 = 74.96 . . . . thousand dollars

Then her annual pension is ...

  1.75% × $74,960 × 32 = $41,997.60

6 0
3 years ago
Which decimal is larger. 1.3, 1.303, 1.33, 1.333
Nataly_w [17]

Answer:

1.3

Step-by-step explanation:

1.33, 1.303, 1.333, 1.3

4 0
3 years ago
Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B are 27 miles apart. How far is
cluponka [151]

Station A is at a distance of 28.83 miles from the storm

<h3>Sine rule</h3>

Sine rule is used to show the relationship between the sides of a triangle as well as their opposite angles. It is given by:

\frac{a}{sin(A)}= \frac{b}{sin(B)}=\frac{c}{sin(C)}

From the diagram:

  • A = 34° + 90° = 124°

Also:

  • B = 90° - 61° = 29°

Hence:

  • C + A + B = 180°
  • C + 29 + 124 = 180
  • C = 27°

b = distance station A from the storm, c = AB = 27 miles

Using sine rule:

\frac{c}{sin(C)} =\frac{b}{sin(B)} \\\\\frac{27}{sin(27)}=\frac{b}{sin(29)}  \\\\b=28.83\ miles \\

Station A is at a distance of 28.83 miles from the storm

7 0
3 years ago
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