Answer:
AC = 5 cm
BD = 12.5 cm (3 sf) [or 2 × root 39]
BE = 6.93 cm (3 sf) [or 4 × root 3]
Step-by-step explanation:
CE = 8cm [CE is radius of circle]
AC + 3 = 8
<u>A</u><u>C</u><u> </u><u>=</u><u> </u><u>5</u><u> </u><u>c</u><u>m</u>
BC = 8cm [BC is a radius of circle]
(AC)^2 + (AB)^2 = (BC)^2 [Pythagoras theorem]
25 + (AB)^2 = 64
AB = 6.2450 cm (5 sf) [or root 39]
BD = 2(BA)
= 2(6.2450)
<u>B</u><u>D</u><u> </u><u>=</u><u> </u><u>1</u><u>2</u><u>.</u><u>5</u><u> </u><u>c</u><u>m</u><u> </u><u>(</u><u>3</u><u> </u><u>s</u><u>f</u><u>)</u><u> </u><u>[</u><u>o</u><u>r</u><u> </u><u>2</u><u> </u><u>×</u><u> </u><u>r</u><u>o</u><u>o</u><u>t</u><u> </u><u>3</u><u>9</u><u>]</u>
(BA)^2 + (AE)^2 = (BE)^2 [Pythagoras theorem]
39 + 9 = (BE)^2
<u>B</u><u>E</u><u> </u><u>=</u><u> </u><u>6</u><u>.</u><u>9</u><u>3</u><u> </u><u>c</u><u>m</u><u> </u><u>(</u><u>3</u><u> </u><u>s</u><u>f</u><u>)</u><u> </u><u>[</u><u>o</u><u>r</u><u> </u><u>4</u><u> </u><u>×</u><u> </u><u>r</u><u>o</u><u>o</u><u>t</u><u> </u><u>3</u><u>]</u>
Answer:
yes
Step-by-step explanation:
Hope this helps:)
Answer:
3
Step-by-step explanation:
The least number of trees planted is the least common multiple (LCM) of 3 and 10. Because 3 and 10 have no factors in common, that value is their product, 3·10 = 30.
If group B plants 30 trees, they will have planted 3 clusters.
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°