Answer: A
Step-by-step explanation:
So we know that to find the area of a triangle you have to multiply the base times the height and divide it by two or multiply it by 1/2.Looking the information given it say that theta is equal to 26 degrees and the length of a or the hypotenuse is 25 and b which in this case is the base is 32. So the information gives us the base but now we need to find the height.
To find H we need to apply trigonometry solve for h the height.
As we could see theta which is 26 degrees is opposite the height and we know the hypotenuse length. So using soh cah toh we have to know that the length of h is going to be using the sin formula opposite over hypotenuse.
solve for h by multiplying both sides by 25.
h= 25 sin(26)
h= 10.96 is being rounded to the nearest hundredth because that is essential
Now we know H is equal to 10.96 which is the Height so now we have all the information we need the height and the base.
Multiply 10.96 by 32 and divide it by 2.
10.96 * 32 = 350.72
350.72 /2 = 176.36
The best answer is A because that is the only best approximation to 175.35.
Answer:
Let the height of the larger box = h
and length and width of the larger box = l and w , repectively
Now , Let find the volume of the larger box
Volume = length * width * height
So Volume of the larger box = l*w*h = lwh
Now the question says
the height of the smaller box is 80% of the height of the larger box
It means
Height of the smaller box = 80% of h = 0.80*h = 0.80h
and the other two dimensions are same so it means length and width of the smaller box = l and w
so, Volume of the smaller box = l*w*0.80h = 0.80lwh
So the Difference in the volume of the two boxes = Volume of larger box - Volume of smaller box
therefore , Difference in the Volume of two boxes = lwh - 0.80 lwh = 0.20lwh
Step-by-step explanation:
Answer:
12/5
Step-by-step explanation:
His fish tank is 4 1/2 gallons of water. It takes him 1 7/8 minutes to fill it. So you need to find out how many gallons you can pour in 1 minute. You can eliminate A because he is filling more than 1 gallon per minute. You can divide 4.5 (4 1/2) by 1.875 (1 7/8). You get 2.4. Convert it back to a fraction, and you get 2 4/10. Simplify the fraction 2/5. Now convert it to an improper fraction. 12/5.
The answer to this equation is x=63