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choli [55]
4 years ago
14

What is the area of one trapezoidal face of the figure?

Mathematics
1 answer:
Arturiano [62]4 years ago
3 0
The area of a trapezoid, A, is the average of the lengths of the bases (B and b) multiplied by the height, h.

A = \dfrac{(B + b)h}{2}

A = \dfrac{(3~in. + 1~in.) \times 1~in.}{2}

A = \dfrac{4~in. \times 1~in.}{2}

A = \dfrac{4~in.^2}{2}

A = 2~in.^2
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Which shows the expression factored correctly? 16x^2-25
REY [17]
Lets take a look at the options first.
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.

we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25

however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)

if you don’t want to find the answer using expanding, there is also another method of expanding.

(a+b)^2 = a^2 - b^2

in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
7 0
4 years ago
How many degrees will the hour hand of a clock move if it is turned clockwise from 4 pm to 8 pm?​
just olya [345]
27 degrees is the answer
8 0
3 years ago
An algorithm takes 0.5 seconds to run on an input of size 100. How long will it take to run on an input of size 1000 if the algo
dexar [7]

Answer:

linear: 5s

quadratic: 50s

log-linear: 0.75 s

cubic: 500s

Step-by-step explanation:

Let t_1,t_2 be the running time associated with the input of sizes s_1,s_2

If the running time is linear

t_2 = t_1\frac{s_2}{s_1} = 0.5*\frac{1000}{100} = 0.5*10 = 5s

If the running time is quadratic

t_2 = t_1\left(\frac{s_2}{s_1}\right)^2 = 0.5*\left(\frac{1000}{100}\right)^2 = 0.5*10^2 = 50s

If the running time is log-linear

t_2 = t_1\frac{log(s_2)}{log(s_1)} = 0.5*\frac{log(1000)}{log(100)} = 0.5*1.5 = 0.75s

If the running time is cubic:

t_2 = t_1\left(\frac{s_2}{s_1}\right)^3 = 0.5*\left(\frac{1000}{100}\right)^3 = 0.5*10^3 = 500s

6 0
3 years ago
Freya wants to use her debit card to purchase a $135 tablet computer.
Ray Of Light [21]

Answer:

She must be sure there is at least $135 in her bank account for the purchase.

She must check to see if any automatic payments are scheduled for her account.

Step-by-step explanation:

just finished that assignment

8 0
4 years ago
Determine whether the lines given by the equations <img src="https://tex.z-dn.net/?f=2x%2B3y%3D6" id="TexFormula1" title="2x+3y=
Alex777 [14]
Determine whether the lines what?
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