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3 years ago

How do you find the measure of angle b?

Mathematics

2 answers:

swat323 years ago

5 0

180-145 which 35 B because if it was across 145 it would be 145 but like it’s right beside it you can see a 180 straight line so you would subtract it

Ierofanga [76]3 years ago

4 0

The answer is b)35 because those angles are supplementary which means their sum is 180.

so 180+145 = 35

You might be interested in

Fine the measure of the angle formed by the radius and the side of a regular dodecagon.

Elden [556K]

Answer:

Option D.75°

Step-by-step explanation:

we know that

The sum of the interior angles of a regular dodecagon is equal to

$S=(n-2)*180$

where

n is the number of sides

In this problem

n=12 sides

substitute

$S=(12-2)*180$

$S=1,800\°$

Find the measure of each interior angle

Divide the sum of the interior angles by the number of sides

$1,800\°/12=150\°$

The measure of the angle formed by the radius and the side of a regular dodecagon is half the measure of the interior angle

therefore

$150\°/2=75\°$

3 0

3 years ago

Katarina [22]

Answer:

3.6

Step-by-step explanation:

20% of $18

20/100 x 18 = 180/50 =3 30/50 = 3 60/100 = 3.6

8 0

3 years ago

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches. 4. In a grocery store, steak costs $3.85 per pound. If you buy a t

AnnZ [28]

Answer:

The sum of the measurement is 14 feet 5 inches.

Hence, you will get the change of $8.45

The required sum is 46 minutes 5 seconds.

Step-by-step explanation:

Consider the provided information.

Add 3 feet 6 inches+8 feet 2 inches+4 inches+2 feet 5 inches.

In order to add the measurement add inches with inches and feet with feet as shown.

3 feet + 8 feet + 2 feet and 6 inches + 2 inches + 4 inches + 5 inches.

13 feet 17 inches

As we know 1 feet = 12 inches

Thus 17 inches can be written as: 1 feet 5 inches

Hence, 13 feet 17 inches = 14 feet 5 inches

The sum of the measurement is 14 feet 5 inches.

Part (B) In a grocery store, steak costs $3.85 per pound. If you buy a three-pound steak and pay for it with a $20 bill, how much change will you get?

Steak costs $3.85 per pound and you buy a three pound steak.

So, the cost will be:

$3.85×3=$11.55

You pay $20 so the change you will get is:

$20-$11.55=$8.45

Hence, you will get the change of $8.45

Part (C) Add 8 minutes 32 seconds+37 minutes 18 seconds+15 seconds.

In order to add the time add minutes with minutes and seconds with seconds as shown.

8 minutes+37 minutes and 32 seconds+ 18 seconds+15 seconds.

45 minutes 65 seconds

As we know 1 minute = 60 seconds

Thus 65 seconds can be written as: 1 minute 5 seconds

Hence, 45 minutes 65 seconds = 46 minutes 5 seconds

The required sum is 46 minutes 5 seconds.

6 0

3 years ago

Pls help me i just need help

Ray Of Light [21]

Step-by-step explanation:

the total cost is, of course, first the cost to buy the copier, and then the running costs per copy made.

it is really that easy.

the equations just put this into mathematical form :

y = 0.02×x + 800

y = 0.06×x + 600

please notice, we put $600 or $800 in as constant term, because these costs are the starting costs that we have, even if we never make a single copy (x = 0).

and then the total cost goes up with every copy we make.

I cannot draw here.

so, to find the number of copies where both copier systems would cost the same, means we have to say both equating deliver the same result :

0.02×x + 800 = 0.06×x + 600

200 = 0.04×x

x = 200 / 0.04 = 5000

when making 5000 copies both costs are the same.

4 0

2 years ago

In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t 2 , 2 + t − 5t 2 , 1 + 2t} to the standard basis of P2.

Serjik [45]

Complete Question:

In P2, find the change-of-coordinates matrix from the basis B = {1 − 3t² , 2+t− 5t² , 1 + 2t} to the standard basis C = {1, t, t²}. Then, write t² as a linear combination of the polynomials in B.

Answer:

The change of coordinate matrix is :

$M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right]$

U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]

Step-by-step explanation:

Let U = {D, E, F} be any vector with respect to Basis B

U = D [1 − 3t²] + E [2+t− 5t²] + F[1 + 2t]..............(*)

U = [D+2E+F]+ t[E+2F] + t²[-3D-5E]...................(**)

In Matrix form;

$\left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right] \left[\begin{array}{ccc}D\\E\\F\end{array}\right] = \left[\begin{array}{ccc}D+2E+F\\E+2F\\-3D-5E\end{array}\right]$

The change of coordinate matrix is therefore,

$M = \left[\begin{array}{ccc}1&2&1\\0&1&2\\-3&-5&0\end{array}\right]$

To find D, E, F in (**) such that U = t²

D + 2E + F = 0.................(1)

E + 2F = 0.........................(2)

-3D -5E = 1........................(3)

Substituting eqn (2) into eqn (1 )

D=3F...................................(4)

Substituting equations (2) and (4) into eqn (3)

-9F+10F=1

F = 1

Put the value of F into equations (2) and (4)

E = -2(1) = -2

D = 3(1) = 3

Substituting the values of D, E, and F into (*)

U = t² = 3 [1 − 3t²] - 2 [2+t− 5t²] + [1 + 2t]

3 0

2 years ago