Answer:55
Step-by-step explanation:
Answer:
The measure of angle L is <u>70°</u>.
The trigonometric ratio that uses ∠M and LN to solve for NM is <u>tangent</u>.
The length of NM, to the nearest tenth, is approximately <u>57.7</u>.
Step-by-step explanation:
Answer:
14/29
Step-by-step explanation:
Answer:
280 square units
Step-by-step explanation:
Using the given dimensions {5, 6, 10}, find the area of the front, top and end of the box: 5*6 + 5*10 + 6*10 = 140 square units.
The back of the box is the same size and shape as the front, the bottom the same as the top, and the other end the same as the first end. Thus, multiply 140 square units by 2 to get the total surface area of the tank:
It is 280 square units.
Answer:
(x + 3)² + (y - 4)² = 32
Step-by-step explanation:
Since we are given the coordinates of the centre and a point on the circle, we can use distance formula to find the radius.
r = √((1 - (-3))² + (8 - 4)²)
r = √(16 + 16)
r = √32
Now, formula for equation of a circle with centre (h, k) is;
(x - h)² + (y - k)² = r²
Our centre is (-3, 4) with r = √32
Thus;
(x - (-3))² + (y - 4)² = (√32)²
(x + 3)² + (y - 4)² = 32