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4 years ago

Write down the equation of each line shown below

Mathematics

2 answers:

klemol [59]4 years ago

7 0

Y= 6
y=3
y=-3
y=-5
x=-4
x=-1
x=3
x=5

serg [7]4 years ago

3 0

Answer:

y=6

y=3

y=-3

y=-5

x=3

x=5

x=-1

x=-4

Step-by-step explanation:

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I've already posted this once, and haven't got an answer, so I am posting it again just in case my question got lost in the sea

adelina 88 [10]

I know the answer to 17 is the measure of each angle is 45° but i’m not sure about the rest sorry

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4 years ago

Consider the triangle. Which shows the order of the angles from smallest to largest? angle A, angle B, angle C angle B, angle A,

Katyanochek1 [597]

Answer:

angle B, angle A, angle C

Step-by-step explanation:

The shortest side length will be opposite the smallest angle, and the longest side length will be opposite the largest angle.

When the triangle is drawn and labeled, we see that AB is opposite angle C; BC is opposite angle A; and CA is opposite angle B.

Since the smallest side is AC, this means the smallest angle is angle B.

Since the middle length side is BC, the middle sized angle is A.

Since the longest side is AB, the largest angle is C.

This means the order from smallest to largest is B, A, C.

6 0

3 years ago

Read 2 more answers

Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve

kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0

3 years ago

G find the area of the surface over the given region. use a computer algebra system to verify your results. the sphere r(u,v) =

Svetach [21]

Presumably you should be doing this using calculus methods, namely computing the surface integral along $\mathbf r(u,v)$ .

But since $\mathbf r(u,v)$ describes a sphere, we can simply recall that the surface area of a sphere of radius $a$ is $4\pi a^2$ .

In calculus terms, we would first find an expression for the surface element, which is given by

$\displaystyle\iint_S\mathrm dS=\iint_S\left\|\frac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm du\,\mathrm dv$

$\dfrac{\partial\mathbf r}{\partial u}=a\cos u\cos v\,\mathbf i+a\cos u\sin v\,\mathbf j-a\sin u\,\mathbf k$
$\dfrac{\partial\mathbf r}{\partial v}=-a\sin u\sin v\,\mathbf i+a\sin u\cos v\,\mathbf j$
$\implies\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}=a^2\sin^2u\cos v\,\mathbf i+a^2\sin^2u\sin v\,\mathbf j+a^2\sin u\cos u\,\mathbf k$
$\implies\left\|\dfrac{\partial\mathbf r}{\partial u}\times\dfrac{\partial\mathbf r}{\partial v}\right\|=a^2\sin u$

So the area of the surface is

$\displaystyle\iint_S\mathrm dS=\int_{u=0}^{u=\pi}\int_{v=0}^{v=2\pi}a^2\sin u\,\mathrm dv\,\mathrm du=2\pi a^2\int_{u=0}^{u=\pi}\sin u$
$=-2\pi a^2(\cos\pi-\cos 0)$
$=-2\pi a^2(-1-1)$
$=4\pi a^2$

as expected.

6 0

3 years ago

A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid t

elena-14-01-66 [18.8K]

Answer:

AD is 6.5 units

Step-by-step explanation:

Find the diagram attached.

From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.

To get AD, we will use the pythagoras theorem as shown;

Hyp² = Opp² + Adj²

AD² = 6²+2.5²

AD² = 36 + 6.25

AD² = 42.25

AD = √42.25

AD = 6.5

Hence the measure of length segment AD is 6.5 units

6 0

3 years ago