Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A​

Given:

The statement is " a is the fourth root of 16".

To find:

The true statement for the given statement.

Solution:

The given statement is

a is the fourth root of 16.

Mathematically, it can be written as

[tex]a=\sqrt[4]{16}[/tex]

Taking power 4 on both sides.

[tex]a^4=(\sqrt[4]{16})^4[/tex]

[tex]a\times a\times a\times a=16[/tex]

Therefore, the correct option is A.

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

Important Information :

'a' is the fourth root of 16 can be written as

[tex]a=\sqrt[4]{16}[/tex]

To remove fourth root, we take exponent 4 on both sides

[tex]a=\sqrt[4]{16}\\(a)^4=(\sqrt[4]{16})^4[/tex]

Exponent 4  and fourth root will get cancelled

[tex]a^4=16\\a \cdot a\cdot a \cdot a=16[/tex]

a x a x a x a = 16

A true statement ,  if a is the fourth root of 16 is

a x a x a x a = 16

learn more about the radicals here:

brainly.com/question/1799883

Answer:

This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.

Step-by-step explanation:

The following parameters are given from the question above. These information is used in solving this problem.

=> The mean value of his compression test = 6500 psi, the standard deviation = 500 psi, the average of the mean = 5900 psi and the number of sample measurements = 8.

The first thing to do right now is to determine the characteristic strength, this can be calculated as below:

Characteristic strength= average of the mean - (1.65/2) × standard deviation.

Characteristic strength = 5900 - (0.825) × 500 = 5487.5 psi.

The next thing to do is to Determine the target mean strength.

Target mean strength = 5487.5 psi + 1.65 × 500 = 6312.5 psi.

The above is from taking samples from 8 samples.

Now, let's consider the characteristic strength by the contractor.

Characteristics strength = 6500 - 165 × 500 = 5675 psi.

This value of 5675 psi by the contractor is safer than 5487.5 psi as it is of lesser value.

Answer:

15

Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30

Answer:

15

Step-by-step explanation:

Answer:

49m^3

Step-by-step explanation:

6287-6238=49m^3

9514 1404 393

Answer:

  (a) not proportional

  (b) k = 7/8

Step-by-step explanation:

When a linear equation is of the form ...

  y = mx + b

with b ≠ 0, the relation is NOT PROPORTIONAL.

__

If b=0, so the equation is of the form ...

  y = kx

then the relation IS PROPORTIONAL. The constant of proportionality is k.

__

(a) Not proportional

(b) Proportional with k = 7/8

Answer:

Ali = 12, Sami  = 21

Step-by-step explanation:

Ali = 4x, Sami = 7x

lets make an equation

7x-4x=15

3x=15

x=3

Now when we know x we can find how many candies each got

3*4=12, 3*7=21

Let f(x) = ax ² + bx + c. Then

f '(x) = 2ax + b

f ''(x) = 2a

f (-3) = -18, so

9a - 3b + c = -18

f ' (-3) = 16, so

-6a + b = 16

f '' (-3) = -6, so

2a = -6

Then a = -3, b = -2, and c = 3, so that

f(x) = -3x ² - 2x + 3

Answer:

you are 100% correct (^_^)

Step-by-step explanation:

Answer:

Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.

Answer:

Emily

Step-by-step explanation:

The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.

Answer:

Step-by-step explanation:

84

Step-by-step explanation:

refer to the above attachment please

Answer:

A transformation is when the preimage of a shape is changed in size or shape into a new image

Step-by-step explanation:

Answer: A transformation is the process of manipulating an polygon or an two-dimensional shape or object on a coordinate plane.

Step-by-step explanation: I attached a image for you to see.

Answer:

25 cups of apple juice and 10 cups of sparking water.

Step-by-step explanation:

Answer:

1000000000000000015

Answer:

1,000,000,000,000,000,014

Answer:

[tex]y = - \frac{4}{5} x + 3[/tex]

Step-by-step explanation:

[tex]b = 3[/tex]

[tex] - 2 = 4a + 3[/tex]

[tex]a = - \frac{4}{5} [/tex]

Answer:

300

Step-by-step explanation:

Answer:

Value of x = 19.42 unit (Approx)

Step-by-step explanation:

Given:

Base = 6 unit

Angle θ = 72°

Find:

Value of x

Computation:

Cos θ = base / Hypotenuse

Cos 72° = 6 / x

0.3090 = 6 / x

x = 19.4174

Value of x = 19.42 unit (Approx)

Answer:

4

Step-by-step explanation:

4•4•4 = 64

Answer:

4

Step-by-step explanation:

cubic root of 64 is 4, since 4^3 = 64

Answer:

Slope: 2

Y-intercept: -4

Step-by-step explanation:

Slope = y2 - y1 / x2 - x1

Slope = -2 - -4 / 1 - 0

Slope = 2 / 1

Slope = 2

Y-intercept is when x = 0

This is shown on the first row

When x = 0, y = -4, which is our y-intercept

Answer:

Step-by-step explanation:

B was wrong!!

Answer: A

Step-by-step explanation: Just got it right.

Answer:

El precio de venta de la cámara es de $17.70.

Step-by-step explanation:

Dado que Mario vende una cámara web HD con una tasa de ganancia del 18%, y compró dicho elemento a $15.00, para determinar el precio de venta del producto se debe realizar el siguiente cálculo:

15 + (15 x 18 / 100) = X

15 + (15 x 0.18) = X

15 + 2.70 = X

17.70 = X

Por lo tanto, el precio de venta de la cámara es de $17.70.

Answer:

$21

Step-by-step explanation:

There are two ways to do this question:

1. Multiply 60 by .65 and minus the product from the original price ($60)

2. Multiply 60 by .35 (This is because the discounted price maintains 35% of the regular price)

Let's do it both ways:

1. (60)(.65) = 39

60 - 39 = 21

2. (60)(.35) = 21

Therefore, the price now is $21.

I hope this helps!!

- Kay :)

Answer:

$21.00

Step-by-step explanation:

$60.00*(1.00-.65)

$60.00*(35)

$21.00

Answer: -1

Step-by-step explanation:

First change tan(315) to:

[tex]\frac{\sin(315)}{\cos(315)}[/tex]

Then evaluate the sine and cosine function. What is the y component of 315 degrees? What is the x component of 315 degrees?

[tex]-\frac{\sqrt{2} }{2} /\frac{\sqrt{2} }{2} =-1[/tex]

Answer:

22000

to the test

Answer:

(4, 6)

Step-by-step explanation:

if it's a reflection then I believe it would just look exactly the same only with positive numbers

sorry if it's wrong, but hope it helps :)

Answer:

(4, 6)

Step-by-step explanation:

In the question it says "reflected over the X-axis and the Y-axis?"

When reflected you get (4, 6)

The opposite of Negative is positive

9514 1404 393

Answer:

  y ≥ 4x

Step-by-step explanation:

We notice the y-values in the table are 4 times the corresponding x-values. Since the table values represent a minimum, the appropriate inequality is ...

  y ≥ 4x

Answer:

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.

The fuel efficiency of Ford trucks is found to follow a normal distribution with mean 20 mpg and a standard deviation of 3 mpg.

This means that [tex]\mu_{F} = 20, \sigma_{F} = 3[/tex]

The fuel efficiency of GM trucks is found to follow a normal distribution with mean 24 mpg and standard deviation of 4 mpg.

This means that [tex]\mu_{G} = 24, \sigma_{G} = 4[/tex]

Compute the probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

This is the probability that the subtraction of ford by gm is less than 0. First, we find the mean and the standard deviation.

[tex]\mu = \mu_{F} - \mu_{G} = 20 - 24 = -4[/tex]

[tex]\sigma = \sqrt{\sigma_{F}^2+\sigma_{G}^2} = \sqrt{3^2+4^2} = 5[/tex]

This probability is the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-4)}{5}[/tex]

[tex]Z = 0.8[/tex]

[tex]Z = 0.8[/tex] has a pvalue of 0.7881

0.7881 = 78.81% probability that a randomly chosen Ford truck outperforms a randomly chosen GM truck in terms of fuel efficiency

Answer:

2x=8

x=4

Step-by-step explanation:

Answer:

(3^1/2)(3^1/4)

Step-by-step explanation:

Use the formula

[tex]\sqrt[n]{a} ^x[/tex] = [tex]a^{\frac{x}{n} }[/tex]

[tex]\sqrt{3}[/tex]

a = 3

n = 2, we do not write it because square root is basically replacing it

x = is a period in this case period is 1

[tex]\sqrt[4]{3}[/tex]

a = 3

n = 4

x = 1

Exact Form:

[tex]3^{\frac{3}{4} }[/tex]

Decimal Form:

2.27950705

…

Hope it helps:)

Answer: C.) 56 square centimeters

Step-by-step explanation: