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Naddik [55]
3 years ago
7

A triangle has a base of 10" and an altitude of 14". What is the area?

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
Hello :
the area is : A= (10×14)/2 =70 <span>square inches. ( answer : a)</span>
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A box with a square base and open top must have a volume of 32,000 cm3. find the dimensions of the box that mini- mize the amoun
zmey [24]
Alrighty


squaer base so length=width, nice


v=lwh
but in this case, l=w, so replace l with w
V=w²h

and volume is 32000
32000=w²h


the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW

alrighty

we gots
SA=W²+4HW and
32000=W²H

we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute

SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W

take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?

0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W

so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H

the box is 20cm height and the width and length are 40cm
7 0
3 years ago
What is 5/20 as a percent if you could give an explanation that would be good but if not thats okay
Liono4ka [1.6K]
5/20 can also be represented as 25/100 or 25%. The can be done by multiplying the top and bottom both by 5 and then dividing our numerator (25) by our denominator(100) to get the %.
3 0
3 years ago
Read 2 more answers
How can numbers be expressed, ordered, and compared
fiasKO [112]
Compare or order the digits that are different, Write > or <. or use a number line <span>44 < 72<span>
Say:
</span>"44 is less than 72"</span> <span>Or you can look at the place value.</span> <span>You can express using an exponent, an octet and many more</span>
7 0
3 years ago
write an equation in slope intercept form for a line through the following: through (5,2). with a slope of -2
Veseljchak [2.6K]

Answer:

y = - 2x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute (5, 2) into the partial equation

2 = - 10 + c ⇒ c = 2 + 10 = 12

y = - 2x + 12 ← equation of line

4 0
3 years ago
I need help with 2&amp;3
kherson [118]

Answer:

2) no

3) yes

Step-by-step explanation:

i think. sorry if im wrong

4 0
3 years ago
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