Answer:
15.8 cm²
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the angle A. This can be obtained as follow:
B = 56°
C = 78°
A =?
A + B + C = 180 (Sum of the angle in triangle)
A + 56 + 78 = 180
A + 134 = 180
Collect like terms
A = 180 – 134
A = 46°
Next, we shall determine the value of b by using the sine rule. This can be obtained:
Side opposite angle C (c) = 7.2 cm
Angle C = 78°
Angle B = 56°
Side opposite angle B (b) =?
b/Sine B = c/sine C
b/Sine 56 = 7.2/Sine 78
Cross multiply
b × Sine 78 = 7.2 × Sine 56
Divide both side by Sine 78
b = 7.2 × Sine 56 / Sine 78
b = 6.1 cm
Finally, we shall determine the area of the triangle. This can be obtained as follow:
Side opposite angle C (c) = 7.2 cm
Side opposite angle B (b) = 6.1 cm
Angle A = 46°
Area (A) =?
A = ½bcSineA
A = ½ × 6.1 × 7.2 × Sine 46
A = 15.8 cm²
Therefore, the area of the triangle is 15.8 cm²
Answer:- The smaller integer is -5.
Explanation:-
Let the first consecutive integer be x and the second consecutive integer be x+1.
According to the given question:-
x+6(x+1)= -29
⇒x+6x+6= -29 [distributive law]
⇒x+6x= -29-6 [subtract 6 on the both sides]
⇒7x= -35 [combining like terms ]
⇒x= -5 [dividing 7 on both sides]
Thus the smaller integer =x= -5
larger integer =x+1= -5+1= -4
Answer:
y = 120x
Step-by-step explanation:
y=mx + b is what we need where m is the slope and b is the y-intercept.
the train travels at about 120km/hour, thus the slope is 120.
y= 120x +b. to find the y intercept plug in any coordinate.
240 = 120(2) +b. you find that the y-intercept is 0.
final equation: y= 120x
100 / 9
They both equal 11.11
(70/21)^2 * 8^3 * (1/2^9)
Answer:
33 laps
Step-by-step explanation:
we know that
There are 6.6 laps in a mile
so
using proportion
Find how many laps will you have to make to run 5 miles
so
Let
x ----> the number of laps
