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Vsevolod [243]
3 years ago
13

A triangle has an area of 900m^2 . If a parallelogram has the same height and base as the triangle, what is the area of the para

llelogram?
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

area = 1800 m²

Step-by-step explanation:

area of one triangle = 900 m²

if a parallelogram has the same height and base as the triangle, then that means the area or the two triangle and shaped as a parallelogram

is twice the area given.

area = 900 * 2

area = 1800 m²

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Which equation could match the table?
Lesechka [4]
B

y=2(-6)+3=-9
y=2(-3)+3=-3
Y=2(0)+3=3
Y=2(3)+3 =9
Y=2(6)+3=15
3 0
2 years ago
Find the sum of the squares of the roots of 3x^2 + 4x + 12 = 0
Contact [7]

Answer:

-56/9

Step-by-step explanation:

Let p and q be the roots of the equation.

So, here's how we're gonna work it out:

{p}^{2}  +  {q}^{2}  =  \\  {p}^{2}  +  {q}^{2} +2 pq - 2pq =   \\ ( {p}^{2}  +2pq +   {q}^{2}) - 2pq =  \\  {(p + q)}^{2}  - 2pq

Vieta's formulas give us the sum and the product of the roots of a quadratic equation. Using them we obtain:

  • p + q = -b / a = - 4 / 3
  • p × q = c / a = 12 / 3 = 4

{(p + q)}^{2}  - 2pq =  \\  {( -  \frac{ 4}{3} )}^{2}  - 2 \times 4 =  \frac{16}{9 }  - 8 =  \\  \frac{16 - 72}{9}  = - \frac{56}{9}

4 0
3 years ago
A can contained 5.5 ounces of tuna. Joey used 2.88 ounces of the tuna to make a sandwich. To find the amount of tuna remaining i
Veseljchak [2.6K]

Answer:

Yes

Step-by-step explanation:

A full can of tuna has a certain amount in it, if a portion is removed from the can it is therefore subtracted from the total amount. This means that Joey's work is correct and the tuna can would have

5.5 oz - 2.88 oz = 2.62 oz

The best way to tell if his work is correct would be to weigh the remaining tuna in the can and see if it matches Joey's answer.

7 0
2 years ago
The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 h
DaniilM [7]

Answer:

Probability that a battery will last more than 19 hours is 0.0668.

Step-by-step explanation:

We are given that the lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

<em>Let X = lifetime of a battery in a certain application</em>

So, X ~ N(\mu=16,\sigma^{2} =2^{2})

The z-score probability distribution for normal distribution is given by;

               Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean lifetime = 16 hours

            \sigma = standard deviation = 2 hours

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, the probability that a battery will last more than 19 hours is given by = P(X > 19 hours)

  P(X > 19) = P( \frac{  X -\mu}{\sigma} > \frac{19-16}{2} ) = P(Z > 1.50) = 1 - P(Z \leq 1.50)

                                              = 1 - 0.9332 = 0.0668

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.50 in the z table which has an area of 0.9332.</em>

Hence, the probability that a battery will last more than 19 hours is 0.0668.

5 0
3 years ago
A cashier earns $7 an hour. If x is the number of hours worked, which function represents the cashier’s earnings?
jenyasd209 [6]
You can pick a symbol, maybe m or z to be the symbol.
7 0
3 years ago
Read 2 more answers
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