Answer:
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
Step-by-step explanation:
Think of a triangle with a 60 degree angle in the lower left corner. The lower right corner is a right triangle, and 8 ft is the length of the hypotenuse. The other angle is 30 degrees.
We know the angle 60 degrees, plus the length of the hypotenuse, but need the length of the vertical side opposite the 60 degree angle. Use the sine function here because it involves these knowns:
opposite side
sin 60 degrees = ------------------------ = x/(8 ft) = (√3)/2
Cross-multiplying, we get:
2x = (8 ft)(√3), or through reduction, x = (4)(√3)
The ladder reaches (4)(√3) ft up the wall (6.93 ft)
Answer:
8.5
Step-by-step explanation:
8.54.
4 < 4
round down.
8.5
Answer:
No solutions .........
Step-by-step explanation:
3x-4y=7
-12x+16y=10
Multiply 1st equation by 4, you get:
12x-16y=28
Add the 1st and 3rd equations:
0x+0y=38
0(x+y)=38
(x+y)=38/0 which is undefined
Based on the ratios of the peanuts mixed with raisins in the versions of the trail mix, the ratios are equivalent for both mixes.
<h3>What are the ratios?</h3>
The first ratio is:
3 : 2
When taken to the simplest terms it is:
3/2 : 2/2
1.5 : 1
The second ratio is:
4.5 : 3
4.5/3 : 3/3
1.5 : 1
The ratios of the peanut and raisins mix are therefore equivalent.
Find out more on equivalent ratios at brainly.com/question/2328454
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Answer:
A. 4
Step-by-step explanation:
4*x-4*1=4x-4
