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Hunter-Best [27]
3 years ago
7

The picture goes to the first one.

Mathematics
1 answer:
Anna007 [38]3 years ago
6 0
2. Area of parallelogram = base*height
A = 24*9
A = 216
3. Surface area of prism = 2(wl + hl + hw)
l = 15 , w = 3 and  h = 4
2(3*15+4*15+4*3)
2(45+60+12)
2(117)
234
Surface area of rectangular prism is 234mm^2

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Y = x^2 + 2x - 8 Solve with zeros
Katen [24]

Answer:

x=-4  x=2

Step-by-step explanation:

y = x^2 + 2x - 8

Set equal to zero

0 = x^2 + 2x - 8

Factor

What two numbers multiply to -8 and add to 2

4 * -2 = -8

4+-2 = 2

0=(x+4) ( x-2)

Using the zero product property

x+4 =0   x-2 =0

x=-4  x=2

6 0
3 years ago
If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?
tia_tia [17]
Exponential functions are in the form f(x)=a*b^x, where <em>a</em> is the initial value, <em>b</em> is the growth rate (percent increase) + 1, and <em>x</em> is the number of time periods.  Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3).  Therefore our function is p(t)=100*3^t.

6 0
3 years ago
Convert (4,3π\2) to rectangular form​
hodyreva [135]

Answer:(4 x 0, 4 x ( - 1)), or 0, -4)

3 0
3 years ago
Read 2 more answers
The height of an object from a distance
olga55 [171]
Y = height
x = distance from tower

tan(19.9) = y/x

tan(21.8) = y/(x-50)   ( x is 50 feet closer so subtract 50 from x)

find the tan of the angles:
tan19.9 = 0.362
tan21.8 = 0.400

replace those values in the equations:
0.362 = y /x
0.400 = y / (x-50)

rewrite to solve for height:
0.362x = y
0.400(x-50) = y  distribute the 0.400 and rewrite as 0.400x-20 =y

now solve:

0.362x = 0.400x-20

add 20 to each side:
0.362x +20 = 0.400x

subtract 0.362x from each side:

20 = 0.038x

divide both sides by 0.038
x = 20 / 0.038 = 526.3 feet

now that x is known replace x in the original equation and solve for y:

tan19.9 = y /x

0.362 = y / 526.3
y = 0.362 x 526.3
y = 190.5

the height of the tower is 190.5 feet
7 0
3 years ago
6. h(x) = 10x – 4, find h(0.5)
e-lub [12.9K]

Answer:

see below

Step-by-step explanation:

x=0.5. by substitution we get 10(0.5)-4=5-4=1

6 0
2 years ago
Read 2 more answers
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