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-Dominant- [34]
3 years ago
15

Which of the following is a true statement? A. A trapezoid is a type of parallelogram. B. A trapezoid is a type of quadrilateral

. C. A polygon is a type of trapezoid.
Mathematics
2 answers:
ElenaW [278]3 years ago
8 0

B. A trapezoid is a type of quadrilateral.

Rudiy273 years ago
5 0

Answer:

B A trapezoid is a type of quadrilateral.

Step-by-step explanation:

a quadrilateral with only one pair of parallel sides.

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Anyone know how to prove these are equal to one another? I also need all the steps.
IrinaVladis [17]

Answer:

Step-by-step explanation:

it can be simplified to \frac{sec \theta}{cot\theta+tan\theta} =sin\theta  . if you multiply each side by the denominator, it becomes sec\theta=\frac{sin^2\theta}{cos\theta} + cos\theta since tan\theta=\frac{sin\theta}{cos\theta} and cotan is the reciprocal of that. Because sec\theta=\frac{1}{cos\theta} so multiplying each side gives 1=sin^2\theta+cos^2\theta, and sin^2\theta+cos^2\theta is equal to 1.

6 0
1 year ago
Maggie and her friends are each able to recruit a certain number of people each year to sample a product. The number of people p
sergeinik [125]

A function assigns the values. The number of people that were recruited in year 6 is 192.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given that the number of people per year is represented by the function f(t)=3(2)^t.

In the given function, t represents the number of years.

Now, the number of people that were recruited in year 6 can be calculated by putting the value of t as 6 in the given function,

f(t)=3(2)^t

f(6) = 3(2)⁶

     = 3(64)

     = 192

Hence, the number of people that were recruited in year 6 is 192.

Learn more about Function here:

brainly.com/question/5245372

#SPJ1

4 0
1 year ago
A confidence interval (CI) is desired for the true average stray-load loss u (watts) for a certain type of induction motor when
Genrish500 [490]

Answer:

A) CI = (57.12 , 59.48)

B) CI = (57.71 , 58.89)

C) CI = (57.53 , 59.07)

D) n = 239.63

Step-by-step explanation:

a)

given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 25Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025,

Zc = Z(α/2) = 1.96

ME = Zc * σ \sqrt{n}

ME = 1.96 * 3 \sqrt{25}

ME = 1.18

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{25} , 58.3 + 1.96 * 3\sqrt{25})

CI = (57.12 , 59.48)

b)

Given data:

mean, \bar X = 58.3

standard deviation, σ = 3

sample size, n = 100

Given CI level is 95%, hence α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025, Zc = Z(α/2) = 1.96

ME = zc * σ \sqrt{n}

ME = 1.96 * 3\sqrt{100}

ME = 0.59

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 1.96 * 3\sqrt{100} , 58.3 + 1.96 * 3\sqrt{100})

CI = (57.71 , 58.89)

c)

sample mean, \bar X = 58.3

sample standard deviation, σ = 3

sample size, n = 100

Given CI level is 99%, hence α = 1 - 0.99 = 0.01

α/2 = 0.01/2 = 0.005, Zc = Z(α/2) = 2.58

ME = Zc * σ \sqrt{n}

ME = 2.58 * 3\sqrt{100}

ME = 0.77

CI = (\bar X - Zc * s\sqrt{n}  , \barX + Zc * s\sqrt{n})

CI = (58.3 - 2.58 * 3\sqrt{100} , 58.3 + 2.58 * 3/\sqrt{100}

CI = (57.53 , 59.07)

D)

Given data:

Significance Level, α = 0.01,

Margin or Error, E = 0.5,

σ = 3

The critical value for α = 0.01 is 2.58.

for calculating population mean we used

n \geq (zc *σ/E)^2

n = (2.58 * 3/0.5)^2

n = 239.63

7 0
3 years ago
I WILL GIVE BRAINLYEST TO RIGHT ANSWER<br> -4w - 4 =8<br> what is X equal to
Alecsey [184]

Answer:

w = -3

Step-by-step explanation:

-4w - 4 = 8

Combine the constants by adding 4 to both sides.

-4w = 12

Isolate w by dividing by -4.

w = -3

Check your work by plugging w = -3 into the original equation.

-4(-3) - 4 = 8

12 - 4 = 8

8 = 8

Your answer is correct.

8 0
3 years ago
Gourmet Pretzels bakes soft pretzels on an assembly line. It currently bakes 800 pretzels each eight-hour shift. If the producti
Delvig [45]

Answer:

Change in productivity will be 50%

So option (b) will be correct option

Step-by-step explanation:

It is given that it takes 8 hour to bake 800 pretzels

And there is a shift of 8 hours

So hourly production = \frac{800}{8} =100

Now the production is increases to 1200

Now hourly production = \frac{1200}{8}=150

So change in productivity  = \frac{150-100}{100}=50 %

So option (b) will be correct answer

6 0
3 years ago
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