The answer is D hope this helps :]
Answer:
The measurement of EF is 1.98 units
Step-by-step explanation:
In Δ DEF
∵ m∠E = 90°
∴ FD is the hypotenuse of the triangle
∵ m∠D = 26°
∵ EF is opposite to angle D
- We can use the sine ratio to find it
∵ sin D = 
⇒ (opposite side / hypotenuse)
∵ FD = 4.5 units
∴ sin(26) = 
- Multiply both sides by 4.5
∴ 4.5 sin(26) = EF
∵ sin 26° ≈ 0.44
∴ 4.5(0.44) = EF
∴ 1.98 = EF
The measurement of EF is 1.98 units
Answer:
x = -5q
Step-by-step explanation:
-x/5 = q
-x = 5q
x = -5q
Answer:
- perimter of original rectangle = <u>17. 6 mm</u>
- side length of the enlarged rectangle = <u>23. 22 mm</u>
- perimeter of the enlarged rectangle = <u>95. 04 mm</u>
Step-by-step explanation:
<u>PERIMETER</u><u> </u><u>OF</u><u> </u><u>ORIGINAL</u><u> </u><u>RECTANGLE</u>
- Length of original rectangle = 4.5 mm
- Width of original rectangle = 4.3 mm
<em>perimeter = 2 × ( length + width)</em>
= 2 × ( 4.5 + 4.3)
= 2 × 8.8
= 17. 6 mm
<u>SIDE</u><u> </u><u>LENGTH</u><u> </u><u>OF</u><u> </u><u>ENLARGED</u><u> </u><u>RECTANGLE</u>
- Width of original rectangle = 4. 5 mm
- Width of enlarged rectangle = 24.3 mm
Enlargement factor = 24.3 / 4.5
= 5.4
- Length of original rectangle = 4.5 mm
- Enlargement factor = 5.4
Side length of enlarged rectangle
= original length × Enlargement factor
= 4.3 × 5.4
= 23. 22 mm
<u>PERIMTER OF ENLARGED RECTANGLE</u>
= 2 × ( enlarged ength + enlarged breadth)
= 2 × (23. 22 + 24. 3 )
= 95. 04 mm
6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child
154-84=70 for adults
