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2 years ago

10

These figures are congruent. What series of transformations moves pentagon

2 answers:

Sonja [21]2 years ago

8 0

Answer:

the answer is C

Step-by-step explanation:

rosijanka [135]2 years ago

6 0

Answer: C

Step-by-step explanation:

It would have to be a translation and another translation because the preimage of the figure is the same orientation as the image therefore it can't have a rotation or reflection included in it so the answer would be C. Hope this helps :)!

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Crash testing is a highly expensive procedure to evaluate the ability of an automobile to withstand a serious accident. A simple

Veseljchak [2.6K]

Answer:

The 95% confidence interval is (-0.2451, 06912)

Step-by-step explanation:

From the question, we have;

The number of small cars in the sample of small cars, n₁ = 12

The number of small cars that were totaled, x = 8

The number of large cars in the sample of small cars, n₂ = 15

The number of large cars that were totaled, y = 5

Therefore, the proportion of small cars that were totaled, pX = x/n₁

∴ pX = 8/12 = 2/3

The proportion of large cars that were totaled, pY = y/n₁

∴ pY = 5/15 = 1/3

The 95% confidence interval for the difference pX - pY is given as follows;

$pX-pY\pm z^{*}\sqrt{\dfrac{pX\left (1-pX \right )}{n_{1}}+\dfrac{pY\left (1-pY \right )}{n_{2}}}$

$\dfrac{2}{3} -\dfrac{1}{3} \pm 1.96 \times \sqrt{\dfrac{\dfrac{2}{3} \times \left (1-\dfrac{2}{3} \right )}{12}+\dfrac{\dfrac{1}{3} \times \left (1-\dfrac{1}{3} \right )}{15}}$

Therefore, we have;

$\therefore 95\% \ CI = \dfrac{1}{3} \pm 0.3578454$

The 95% confidence interval, CI = (-0.2451, 06912)

6 0

2 years ago

5. What value of makes the statement true? cos e = sin( 0/3 -10)

inna [77]

Answer:

and

Step-by-step explanation:

8 0

2 years ago

(1 point) If p(x) and (x) are arbitrary polynomials of degree at most 2, then the mapping =p(-1)q(-1) + p(070) +p(3)q(3) defines

Ainat [17]

If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26( $\sqrt{640}$ ) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8 , q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6 , q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24 , q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

= (8)(8) + (6)(0) + 24(24)

= 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = $\sqrt{ < p,p > }$

= $\sqrt{8(8) + 6(6) + 24(24)}$

= $\sqrt{676}$

||p|| = 26

and

||q|| = $\sqrt{ < q,q > }$

= $\sqrt{8(8) + 0(0) + 24(24)}$

||q|| = $\sqrt{640}$

∴||p||||q|| = 26( $\sqrt{640\\$ )

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹ $\frac{ < p,q > }{||p||||q||}$

= cos ⁻¹ $\frac{640}{26(\sqrt{640}) }$

= cos ⁻¹ $\frac{4\sqrt{10} }{13}$

α = 13.34°

In radian

α = 0.233.

To know more about Inner product here

brainly.com/question/14185022

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5 0

1 year ago

Find the volume of the pyramid 10ft 8yd 9yd

Slav-nsk [51]

Answer= 120
Explanation= plugged it into a calculator

3 0

2 years ago

Sara claims that a sequence of transformations carries Rectangle 1 onto Rectangle 2. Which of the following sequences of transfo

Anastasy [175]

Wait isn’t it a? I’m not sure tho

8 0

3 years ago