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3 years ago

Help Please! :((( answer correctly please

Mathematics

2 answers:

Burka [1]3 years ago

5 0

Answer:

ILOVEMATH

10 = 90

11 = 35

12 = 16

13 = 200000

14 = 19

Step-by-step explanation:

sveticcg [70]3 years ago

4 0

The magic word is I love math

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What is the area of the right triangle shown?

prisoha [69]

The 30:60:90 proportion is 1:sqrt 3: 2

So,

x = 10/2
x = 5

y = 10/sqrt 3

Finding the area:

1/2 * 5 * 10/sqrt 3
25/sqrt 3

Hope this helps!

3 0

3 years ago

In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi

lana [24]

Answer:

Confidence interval: (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

$\bar{x} = 1858 \text{ kWh}$

Population standard deviation =

$\sigma = 450 \text{ kilowatt-hours}$

Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

$\bar{x} \pm z_{critical}\displaystyle\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

$1858 \pm 1.96(\displaystyle\frac{450}{\sqrt{81}} ) = 1858 \pm 98 = (1760,1956)$

6 0

3 years ago

Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

$=2(x^2+2^2)(x^2-2^2)$

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

3 years ago

Read 2 more answers

Solvex2 - 4x=21 using the zero product property.

Ierofanga [76]

Answer:

The answer is (x + 3) (x - 7) = 0

Step-by-step explanation:

x² - 4x = 21

x² - 4x - 21 = 0

x² - 7x + 3x - 21 = 0

x(x - 7) + 3(x - 7) = 0

(x + 3) (x - 7) = 0

Thus, The answer is (x + 3) (x - 7) = 0

-TheUnknownScientist

5 0

3 years ago

An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees

Kisachek [45]

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians. Here, r = 9 ft and s = 15 ft. Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad 180°

------- * ---------- = 95.49°

3 π rad

6 0

3 years ago