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3 years ago

The net of a rectangular pyramid is shown.

Mathematics

1 answer:

Makovka662 [10]3 years ago

6 0

Answer:

Multiplication: 6,912 Addition: 38

Step-by-step explanation:

If its using multiplication:

Answer for multiplication: 6912

6 x 8 = 48

12 x 12 = 144

144 x 48 = 6,912

if using addition:

Answer for addition: 38

6 + 8 = 14

12 + 12 = 24

24 + 14 = 38

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Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

3 years ago

⚠️⚠️ Help I’m in desperate need of help ⚠️⚠️ the questions are basically in the top picture

Tom [10]

Answer:

1. $3^{3} * 3^{2}$

2. $6^{-4}$

3. $5^{0} < 5^{1}$

7 0

3 years ago

The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyrami

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4 0

3 years ago

Dogs are inbred for such desirable characteristics as blue eye color, but an unfortunate by-product of such inbreeding can be th

Agata [3.3K]

Answer:

<h2>Option 2 is the right answer.</h2>

Step-by-step explanation:

We need to check if the two characteristics, <u>having blue eyes and being deaf are independent of each other or not</u>.

The above two characteristics will be independent if $[Probability of being deaf with blue eyes] = {Probability of being deaf } {Probability of having blue eyes}$

Now, the probability of having blue eyes is $\frac{31}{100}$ .

The probability that the Dalmatians will be deaf is $\frac{38}{100}$ .

The probability of being deaf with blue eyes is $\frac{31}{100} \times\frac{42}{100}$ .

Since, 38 is not equals to 42, the two characteristics are not independent.

3 0

3 years ago

6y^3-15y^2-8y+20 factor by grouping

lutik1710 [3]

Answer:

(2y - 5) (3y^2 - 4)

Step-by-step explanation:

Group and factor by using the Greatest Common Factor (GCF).

6y^3 - 15y^2 - 8y + 20

Simply multiply the terms inside the first pair of parenthesis, by the terms in the second pair of parenthesis.

2y x 3y^2 = 6y^3

2y x (-4) = 8y

-5 x 3y^2 = 15y^2

-5 x (-4) = 20

6y^3 - 8y -15y^2 + 20

Now, simply simplify the problem!

(2y - 5) (3y^2 - 4)

7 0

3 years ago