9514 1404 393
Answer:
∠A = 44°
Step-by-step explanation:
In order to find the measure of angle A, you need to know the value of the variable x. This means you need some relation that you can solve to find x.
Happily, that relation is "the sum of angles in a triangle is 180°." This means ...
84° +(x +59)° +(x +51)° = 180°
(2x + 194)° = 180° . . . collect terms
2x = -14 . . . . . . . . . . divide by °, and subtract 194
x = -7 . . . . . . . . . . . .divide by 2
Now, the measure of angle A is ...
∠A = (x +51)° = (-7 +51)°
∠A = 44°
Answer:
Mina took 2,986 steps on the third hour.
Step-by-step explanation:
With the information provided, you know that Mina took a total of 9,245 steps in three hours and as you know the quantity of steps she took on the first and second hour, you can subtract the steps she took on the first and second hour from the total amount of steps to determine the steps she took on the third hour:
9,245-2,387-3,872=2,986
According to this, the answer is that Mina took 2,986 steps on the third hour.
9514 1404 393
Answer:
12.9 square yards
Step-by-step explanation:
The base is an equilateral triangle, so we can assume that the three faces have the same dimensions. Each of those face triangles has an area of ...
A = 1/2bh
A = 1/2(3 yd)(2 yd) = 3 yd²
The base area is computed using the same formula and the given height:
A = 1/2(3 yd)(2.6 yd) = 3.9 yd²
Then the total surface area is that of the base and the three faces:
SA = (3.9 yd²) + 3(3 yd²) = 12.9 yd² . . . total surface area
Answer:
10.44 m
Step-by-step explanation:
Solve this as a triange. The base is 3m and the perpendicular is 10m. The angle between the base and wall is 90° so it will be a right angled triangle.
Solve this by Pythagoras theorm:
let length of ladder is c
base is b
And perpendicular is a
Acc to Pythagoras theorem:
C² = a² + b²
C² = 10² + 3²
C² = 100 + 9
C² = 109
√C² = √109
C = 10.44m
