What is the length of AC?
Answers
The length of AC found using the Pythagorean Theorem is C) 120.
The length of AC can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is AC, and the other two sides are AB and BC.
AB = 60 units
BC = 80 units
Plugging these values into the Pythagorean Theorem, we get:
=
+
=
+
= 3600 + 6400
= 10000
AC = (10000)
AC = 100 * (10)
AC = 120 units
Therefore, the length of AC is C) 120.
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Answers
9514 1404 393
Answer:
bottom graph shown
Step-by-step explanation:
It can be helpful to rearrange the equation to either of the equivalent forms ...
f(x) = |3(x -2)|
or ...
f(x) = 3|x -2|
_____
The first of these forms represents a horizontal compression of the absolute value function by a factor of 3, then a right-shift by 2 units. This matches the bottom graph shown.
__
The second of these forms represents a horizontal right-shift by 2 units, and a vertical expansion by a factor of 3. This matches the bottom graph shown.
__
The attached graph shows the function given here along with the absolute value parent function.
_____
Additional comment
The transformations we're usually interested in are ...
g(x) = k·f(x) . . . . vertically scaled (stretched) by a factor of k
g(x) = f(kx) . . . . .horizontally compressed by a factor of k
g(x) = f(x) +k . . . shifted up by k units
g(x) = f(x -k) . . . . shifted right by k units
In many cases, as here, horizontal scaling and vertical scaling are indistinguishable as to which caused a given effect.
Answer:
bottom graph
Step-by-step explanation:
f(x) = |3q-6|
because you have absolute value there are 2 possibilities
y= +(3q-6) and y= -(3q-6)
to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...
3q-6 =0 and -3q+6 =0
3q= 6 and -3q =-6
q=2 and q=2
the bottom graph has the intersection with x-axis only at 2, so is the correct one
Answers
He is correct.The probability of winning with the die is while the probability of winning with the spinner is which is 0.375, slightly bigger than rolling the die!
Answer:
Step-by-step explanation:
By 12 the ansewr is 1000%
Answers
Answer:
$85
Step-by-step explanation:
Answer:
the new amount would be $85
Step-by-step explanation:
you do $65 and add 20 because it increased 20
can you please mark me brainlest I would mean a lot
Answers
12.8 km per hour
51.2 km in 4 hours
Answers
Answer:
8.5 or 8 1/2.
Step-by-step explanation:
To find the product of 2 5/6 and 3, you can multiply the two numbers together.
2 5/6 x 3 is equal to 8.5, therefore, the product of these two numbers is 8 1/2.
Answers
Answer:
Step-by-step explanation:
Hello!
You have two surveys that measure the weight of six-year-old girls in the USA,
1) 1999-2002
μ= 49.3 pounds
(I'll take this mean as the population value since it can be considered "historical data" or point of comparison to make the test.)
2)2003-2006
sample n= 190
sample mean x[bar]= 46 pounds
population standard deviation σ= 17 pounds
Assuming that the study variable X" Weight of six-year-old girls between 2003 - 2006" (pound) has a normal distribution.
If you need to test that the children are heavier now (2003-2006) than in the past (1999-2002) the test hypothesis is:
H₀: μ ≤ 49.3
H₁: μ > 49.3
α: 0.10
The statistic is Z= (x[bar]-μ) ~N(0;1)
(δ/√n)
The critical region is one-tailed to the right.
So you'll reject the null hypothesis if the calculated statistic is equal or greater than 1.28.
Z= 46 - 49.3 = -2.67
17/√190
Since the calculated value -2.67 is less than 1.28 you do not reject the null hypothesis. In other words, the six-year-old girls from 2003-2006 are thinner than the girls from 1999-2002.
I hope it helps!