Answer:
x ≈ 4.2 (nearest tenth)
Step-by-step explanation:
The chord of length 4 is the base of an isosceles triangle with height of 3.7 and sides equal to the radius (x).
An isosceles triangle comprises two right triangles, each with:
- base = 2 units
- height = 3.7 units
- hypotenuse = x units
Therefore, to find x use Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ a² + b² = c²
⇒ 2² + 3.7² = x²
⇒ x² = 17.69
⇒ x = √(17.69)
⇒ x = 4.2 (nearest tenth)
Answer:
A = 83.6 yd² ⇒ answer (d)
Step-by-step explanation:
∵ AB = 15 , AC = 15 and m∠A = 48°
∵ Area of the Δ by using sin Rule
∴ A = 1/2 × S1 × S2 × sin including angle between two sides
∴ A = 1/2 × 15 × 15 × sin48 = 83.6 yd² ⇒ answer (d)
Answer:
1)option b
2)option a
Step-by-step explanation:
1) circumference = 62.8 in
=> 2πr= 62.8
=> r= 62.8/(2×3.14)= 10 in
diameter = 2×10 in = 20 in
2)diameter = 14m
radius = 7 m
Area of the circle= πr² =3.14(7)²=3.14×49
= 153.86
=153.9 m²
Answer:
it's not a regular polygon
Step-by-step explanation:
a central angle of a regular polygon is 360/n
360/n=35
n=360/35=10.28
it's not a regular polygon
The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.
Thus, given that <span>segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.
Thus, to show that </span>ΔSTU ≅ ΔVWX, we have to show that <span>US≅XV.
There</span>fore, the <span>step that could help her determine if ΔSTU ≅ ΔVWX by SAS is<span> US≅XV</span></span>
