What is the length of stack A G with bar on top in the rectangular prism? Round your answer to the nearest tenth.

Answers

Answer 1

Answer: I saw the image that should accompany this problem.
It is a rectangular prism and the base has a right triangle with a measure of the following: long leg = 18cm ; short leg = 16cm

We need to look for the hypotenuse because it serves as the long leg of the right triangle where AG is the hypotenuse.

base triangle
a² + b² = c²
(16cm)² + (18cm)² = c²
256cm² + 324cm² = c²
580 cm² = c²
√580cm² = √c²
24 cm = c

2nd triangle: long leg = 24cm ; short leg = 16cm
(24cm)² + (16cm)² = c²
576 cm² + 256 cm² = c²
832 cm² = c²
√832 cm² = √c²
28.8 cm = c

the length of stack AG is 28.8 cm.

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Araceli recorded the height (in centimeters) of a pea plant over a 10-dayperiod for a science experiment. Which equation is the best model of the
data?
30 pints please help

Answers

The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation thus option (B) is correct.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given points,

Let's take two-point (1,1) and (2,1.5)

The slope associated with the above points will be as,

(1.5 - 1)/(2 - 1) = 0.5

Thus, the line will be y = 0.5x + 0.3

Hence "The slope of the points is closer to 0.5 thus y = 0.5x + 1.2 will be the best approximation".

For more about the linear function,

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Factor completely 16x4 - 64y8

Answers

Answer:

16 (x^4+4y^8) is the correct answer

Step-by-step explanation:

The only common factor is 16, as one term has x's and one has y's. 16(x^4-4y^8) is the answer

What answer describes this sequence? 99, 89.9, 78.8, 68.7,...

a) Neither arithmetic nor geometric
b) Both arithmetic and geometric
c) Arithmetic
d) Geometric

Answers

a) Neither arithmetic nor geometric

a) Neither arithmetic nor Geometric

Explanation:
Since 99-89.9= 9.1, and 89.9 - 78.8 = 11.1, the sequence is not arithmetic.
Like wise 89.9/99=0.908 and 78.8/89.9 = 0.876 makes it not a geomtric sequence

How do I show the work for 5.4 divided by 39.42?

Answers

You have to move the decimal point right the same number of places for each one and divide normally so it would be 540/3942 and it is 0.13698630136986 which is irrational so you have to round to the nearest tenth, hundredth, or thousandth, depending on what the directions say.

what you can do is to write what you type on your calculator. So type in 39.42/5.4=7.3

What is the angle supplementary to the angle measuring 165°12′?A. 75°12′
B. 180′
C. 14°48′
D. 60′

Answers

Two angles are supplementary if their sum is 180 degrees. One degree is made up of 60 minutes. So the angle supplementary to an angle measuring 165d12m is 180d - 165d12m, which gives us 14d48m. So the answer is C.

Answer:

Option C is correct.

$14^(\circ)48'$ is the angle supplementary to the angle measuring $165^(\circ)12'$

Step-by-step explanation:

To find the angle supplementary to the angle measuring $165^(\circ)12'$

Let A be the angle supplementary to the angle measuring $165^(\circ)12'$ .

Supplementary Angles states that the two Angles are Supplementary when they add up to 180 degrees.

Use the conversion:

1 degree = 60 minute.

Then, we have the given angle $165^(\circ)12'$ = $165(12)/(60) =165(1)/(5) =165.2^(\circ)$

Now, by definition of supplementary angle;

$\angle A + 165.2^(\circ)= 180^(\circ)$

Subtract 165.2 on both sides we get;

$\angle A= 180^(\circ) - 165.2^(\circ) =14.8^(\circ) =14^(\circ)48'$

Therefore, the angle supplementary to the angle measuring $165^(\circ)12'$ is, $14^(\circ)48'$

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.What is the length of line segment DB?

20 units
24 units
48 units
68 units

Answers

Answer: 48 units

Given,
ABCD is a parallelogram
The diagonals bisect at E
Line segment AE = t + 2
Line segment CE = 3t – 14
Line segment DE = 2t + 8

Line segment DB is unknown

Since ABCD is a Parallelogram, Midpoint AC = Midpoint DB
The midpoint is E
Therefore
AE = CE … (Equation I)
DE = BE … (Equation II)

DB = DE + BE
Since DE = BE (Equation II),
DB = 2DE = 2BE

Given, DE = 2t + 8
DB = 2(2t + 8)
DB = 4t + 16 … (Equation III)

To solve for the value of ‘t’
AE = CE … (Equation I)
Line segment AE = t + 2
Line segment CE = 3t – 14
Therefore, t + 2 = 3t – 14

Subtract t from both sides of the equation
3t – 14 – t = t + 2 – t
2t – 14 = 2

Add 14 to both sides of the equation
2t – 14 + 14 = 2 + 14
2t = 16
t = 8

Substitute 8 for t in Equation III to solve for the length of line segment DB
DB = 4t + 16 … (Equation III)
DB = (4*8) + 16
DB = 32 + 16
DB = 48

Therefore, the length of line segment DB is 48 units

the answer is 48 units

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