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2 years ago

What are three rigid transformations that can be used to confirm two figures are congruent?

Mathematics

2 answers:

Dafna11 [192]2 years ago

7 0

Reflections, translations, and rotations.

Elena-2011 [213]2 years ago

5 0

Answer:

reflections, translations and rotations

Step-by-step explanation:

Yes.

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Can you please help me out with a question

Finger [1]

The standard equation of a circle is expressed as

(x - h)^2 + (y - k)^2 = r^2

where

h is the x coordinate of the center of the circle

k is the y coordinate of the center of the circle

r is the radius of the circle(the distance from the center of the circle to the circumference

From the graph,

h = - 1

y = 4

r = 5

By substituting these values into the equation, we have

(x - - 1)^2 + (y - 4)^2 = 5^2

(x + 1)^2 + (y - 4)^2 = 25

Thus, the equation of the circle is

(x + 1)^2 + (y - 4)^2 = 25

8 0

1 year ago

Coefficiants of (2x+y)^4

sattari [20]

By the binomial theorem,

$(2x+y)^4=\displaystyle\sum_{k=0}^4\binom 4k(2x)^{4-k}y^k=\sum_{k=0}^4\binom 4k2^{4-k}x^{4-k}y^k$

where

$\dbinom nk=\dfrac{n!}{k!(n-k)!}$

Then the coefficients of the $x^{4-k}y^k$ terms in the expansion are, in order from $k=0$ to $k=4$ ,

$\dbinom 402^{4-0}=1\cdot2^4=16$

$\dbinom412^{4-1}=4\cdot2^3=32$

$\dbinom422^{4-2}=6\cdot2^2=24$

$\dbinom432^{4-3}=4\cdot2^1=8$

$\dbinom442^{4-4}=1\cdot2^0=1$

3 0

3 years ago

If cos45⁰=0.707 find cos(-45⁰)

maksim [4K]

Answer:

0.707

Step-by-step explanation:

cos in the 4th quadrant is positive as well as in 1st quadrant.

cos(-45°) is in the 4th quadrant.

So cos40° must equal cos(-45°) which is 0.707.

6 0

2 years ago

The attention span of children (ages 3 to 5) is claimed to be Normally distributed with a mean of 15 minutes and a standard devi

Agata [3.3K]

Answer:

If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 minutes

Sample size, n = 10

Alpha, α = 0.05

Population standard deviation, σ = 4 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 15\text{ minutes}\\H_A: \mu > 15\text{ minutes}$

Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Now, $z_{critical} \text{ at 0.05 level of significance for one tail} = 1.64$

Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.

Thus, we can write:

$z_{stat} = \displaystyle\frac{\bar{x} - 15}{\frac{4}{\sqrt{10}} } > 1.64\\\\\bar{x} - 15>1.64\times \frac{4}{\sqrt{10}}\\\bar{x} - 15>2.07\\\bar{x} > 15+2.07\\\bar{x} > 17.07$

Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.

6 0

3 years ago

The long jump distance of four students are listed in the table below. How much farther did the student with the longest distanc

Tamiku [17]

Answer:

5.85

Step-by-step explanation:

how long she is gonna be jumping

3 0

3 years ago