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1 year ago

Please helppppp giving brainlest please!! thank you

Mathematics

2 answers:

fiasKO [112]1 year ago

7 0

Answer: 12.8 meters long

Step-by-step explanation:

b=body length

8/1=b/1.6

8=b/1.6

b=12.8 meters long

Schach [20]1 year ago

5 0

Answer:

12.8 meters long

Step-by-step explanation:

It’s clear that we are in a proportion situation.

Then

$\frac{\text{} \text{skull length} }{\text{body length} } =\frac{1}{8}$

Solving the equality:

$\frac{1.6\text{} \text{} }{\text{body length} } =\frac{1}{8}$

Using the product of the means equals the product of the extremes

Then

$1\times \text{body length} =1.6\times 8$

Then

$\text{body length} =12.8$

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Which graph represents an equation in the form =? Please help me!!

Genrish500 [490]

That's a question about graphs.

In the Cartesian coordinate system, we have two axes: The x-axis (horizontal) and the y-axis (vertical).

When we want to represent a equation in the cartesian coodinate system, we associate a point in the x-axis and other in the y-axis. The Cartesian coordinate is represented by (x, y).

To represent some equation in a graph, we need at least two points to draw a line that cross these 2 points.

For example: To represent the equation $y = x +1$ , let's replace the value of x:

When x = 0 → $y = 0 + 1 = 1$ . Therefore, the coordenate is (0, 1).

When x = 1 → $y = 1 + 1 = 2$ . Therefore, the coordenate is (1, 2).

Finally, if we draw a line tha cross these 2 points, we will have the graph that represents $y = x +1$ .

Now you know about it, let's solve our problem?

In that question, we should to find the graph that represents the equation $y = kx$ , but we don't know the value of k, so what should we do? It's easy:

k is a constant. That means that the value of k never changes. Now, let's analyze a specific case:

If x = 0, so y = 0 as well. But why? We know that any number multiplied by 0 is equal 0. Therefore:

When If x = 0 → $y = 0 \times k = 0$ . So, this graph cross the coordinate (0,0).

With the informations that the problem give to us, these are the unique things that we can find, but that's enough.

When we look at the options, just the second graph have a line that cross the coordenate (0, 0). Therefore, the correct answer is the graph below:

I hope I've helped. :D

Enjoy your studies! \o/

8 0

2 years ago

Evaluate the triple integral ∭ExydV where E is the solid tetrahedon with vertices (0,0,0),(5,0,0),(0,9,0),(0,0,4).

Elan Coil [88]

Answer: $\int\limits^a_E {\int\limits^a_E {\int\limits^a_E {xy} } \, dV$ = 1087.5

Step-by-step explanation: To evaluate the triple integral, first an equation of a plane is needed, since the tetrahedon is a geometric form that occupies a 3 dimensional plane. The region of the integral is in the attachment.

An equation of a plane is found with a point and a normal vector. Normal vector is a perpendicular vector on the plane.

Given the points, determine the vectors:

P = (5,0,0); Q = (0,9,0); R = (0,0,4)

vector PQ = (5,0,0) - (0,9,0) = (5,-9,0)

vector QR = (0,9,0) - (0,0,4) = (0,9,-4)

Knowing that cross product of two vectors will be perpendicular to these vectors, you can use the cross product as normal vector:

n = PQ × QR = $\left[\begin{array}{ccc}i&j&k\\5&-9&0\\0&9&-4\end{array}\right]$ $\left[\begin{array}{ccc}i&j\\5&-9\\0&9\end{array}\right]$

n = 36i + 0j + 45k - (0k + 0i - 20j)

n = 36i + 20j + 45k

Equation of a plane is generally given by:

$a(x-x_{0}) + b(y-y_{0}) + c(z-z_{0}) = 0$

Then, replacing with point P and normal vector n:

$36(x-5) + 20(y-0) + 45(z-0) = 0$

The equation is: 36x + 20y + 45z - 180 = 0

Second, in evaluating the triple integral, set limits:

In terms of z:

$z = \frac{180-36x-20y}{45}$

When z = 0:

$y = 9 + \frac{-9x}{5}$

When z=0 and y=0:

x = 5

Then, triple integral is:

$\int\limits^5_0 {\int\limits {\int\ {xy} \, dz } \, dy } \, dx$

Calculating:

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$

$\int\limits^5_0 {\int\limits {\int\ {xy(\frac{180-36x-20y}{45} - 0 )} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {\int\ {180xy-36x^{2}y-20xy^{2}} \, dy } \, dx$

$\frac{1}{45} \int\limits^5_0 {90xy^{2}-18x^{2}y^{2}-\frac{20}{3} xy^{3} } \, dx$

$\frac{1}{45} \int\limits^5_0 {2430x-1458x^{2}+\frac{94770}{125} x^{3}-\frac{23490}{375}x^{4} } \, dx$

$\frac{1}{45} [30375-60750+118462.5-39150]$

$\int\limits^5_0 {\int\limits {\int\ {xyz} \, dy } \, dx$ = 1087.5

The volume of the tetrahedon is 1087.5 cubic units.

3 0

3 years ago

The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg?

d1i1m1o1n [39]

Answer:

40 mm

Step-by-step explanation:

It's 40 mm because the Pythagorean Theorem explains a^2 + b^2 = c^2.

This means the unknown number plus 30^2 = 50^2

What you want to do is 50^2 - 30^2= 20^2; which would be 2500-900=1600.

You got 1600 but that isn't your final answer. You want to find the square root 1600. So 1600 square rooted is 40.

40 mm is your final answer.

6 0

3 years ago

How do you solve r-119=70

nirvana33 [79]

R-199=70
remember you can do anything to an equaton as long as you do it to both sides

r-119=70
add 119 to both sides
r+119-119=119+70
r+0=189
r=189

6 0

3 years ago

The rain gauge at the airport showed 22 inches of rain in April. Which of these is the SAME as 22 inches?

Sonja [21]

Answer:

Step-by-step explanation:

First things first you multiply 22inches of rain times 22 and that is how you get 24

6 0

3 years ago