<span>a = 1/2 x b x h
h = 3b
so 1/2 x b x 3b = (1/2)(3b^2) = 150
(150 x 2)/3 = b^2
100 = b^2
b = square root of 100 = 10
h = 3b = 3 x 10 = 30</span>
Answer:
Step-by-step explanation:
if the ratio is 8:11 then 40:x
Cross multiply
8 40
11 x
8x=440
And divide by 8
x=55. She has 55 books
Answer:
37 cents
Step-by-step explanation:
Given that a grocery store sells Swiss cheese
Rate per pound = 5.90 dollars
1 pound =16 oz,
Hence cost of 16 ounces is given as 5.90
SO cost of one ounce of Swiss cheese =
Or 36.875 cents
Round off to nearest cent as
37 cents since after decimal digit 8 is more than 5.
Hence answer is 37 cents
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope!
(-8,5) (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]
10 - 5 5
--------- = ----- = 1
-3-(-8) 5
Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b
Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]
y=1x+b
10=1(-3)+b SUBSTITUTE
10=-3+b MULTIPLY
10=-3+b
+3 +3 ADD
----------
13=b SIMPLIFY
So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13
y=1x+13 is our final answer.
5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2)
We have the equation y= 3x-1, so find the reciprocal slope!
--> y=-1/3x-1
Good! Now we take our given point, (9, -4) and plug it into the new equation:
y=-1/3x-1
-4=-1/3(9)+b SUBSTITUTE and revert "-1" to "b", for we are trying to find the y- -4=-3+b intercept of our perpendicular equation.
+3 +3 ADD
--------
-1=b SIMPLIFY
So, our final answer is y=-1/3x+(-1)
6) I don't know, sorry! :(
11.35-6:35= 5 hours
5 x 4 = 20 this is how many degrees it rose in 5 hours
-18+20 = 2 degrees
d is your answer
