Answer:
4
Step-by-step explanation:
For the first triangle which is triangle <KJL
Hypotenuse= 8✓2
Angle=30°
Opposite = ?
Therefore we will use Sine formula
Sin30° = Y/8✓2
Y=4✓2
For the second triangle which is triangle <JML
Hypotenuse= 4✓2
Opposite=X
Angle=45°
Therefore we will use Sine formula again
Sin45°=X/4✓2
X=4
Answer:
6 miles.
Step-by-step explanation:
Let x be the total distance hoped by Kangaroo to the lake.
We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.
She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:
Let us solve for x by multiplying both sides of our equation by 3/2.
Therefore, the total distance hoped by the kangaroo is 10560 yards.
1 mile = 1760 yards
Let us convert this distance in miles by dividing 10560 yards by 1760.
Therefore, the kangaroo hoped 6 miles to the lake.
Answer:
i cant see the picture
Step-by-step explanation:
post it again
Answer & Step-by-step explanation:
7. The slope-intercept form of a linear equation is y = mx+b where m is the slope and b is the y-intercept. Looking at the two equations, we can rearrange them to be
y = -8x+1
y = 8x+2
From this, we can see that the m, or slope, of the equations are -8 and 8 respectively. Thus, we can determine that the steepness of both equations are equal though one is pointed downwards and the other upwards.
8. We already know that m is the slope so if the function is increasing, the slope is going upwards, thus m must be larger than 0.
Next, we plug in (4,0) into the function to determine b.
f(x) = mx + b
0 = m(4) + b
Since we have determined that m is larger than 0 and thus a positive number, m*4 will be a positive number. The only way for m(4) + b to equal to 0 then is for b to be a negative number, smaller than 0.
Answer:
3.125
Step-by-step explanation:
i hope this helps
