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3 years ago

1/2(6а + в) Please answer

Mathematics

1 answer:

Tom [10]3 years ago

7 0

Answer:

12a + .5B

B= -6a

a=.042B

Step-by-step explanation:

1/2(6a+B)= 12a+.5B

1/2(6a+B)=0

-12a=.5B

-6a=B

12a=-.5B

a=.042B

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Help me plsssssssssssss

LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is : $\p*radius^2$

To work out the length of the radius you would first need to divide the area of 78.5 cm by pi (pi=3.14), this gives you $25cm^2\\$ . This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

$78.5/\pi=25cm^2$

2) Find the square root of 25 cm squared.

$\sqrt{25} =5 cm$

In this question pi is 3.14

6 0

3 years ago

Which of the following best completes the proof showing that ΔWXZ ~ ΔXYZ?

skelet666 [1.2K]

Angles formed by the segment $\overline{XZ}$ in the triangles ΔWXZ, and ΔXYZ, are equal and the given corresponding sides are proportional.

The option that best completes the proof showing that ΔWXZ ~ ΔXYZ is; <u>16 over 12 equals 12 over 9</u>

Reasons:

The proof showing that ΔWXZ ~ ΔXYZ is presented as follows;

Segment $\overline{XZ}$ is perpendicular to segment $\overline{WY}$

∠WZX and ∠XZY are right angles by definition of $\overline{XZ}$ perpendicular to $\overline{WY}$

∠WZX in ΔWXZ = ∠XZY in ΔXYZ = 90° (definition)

$\displaystyle \frac{WZ}{XZ} = \frac{16}{12} = \mathbf{ \frac{4}{3}}$

$\displaystyle \mathbf{ \frac{XZ}{ZY}} = \frac{12}{9} = \frac{4}{3}$

Therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ , which gives, $\displaystyle \mathbf{\frac{WZ}{XZ} }= \frac{XZ}{ZY}$

Given that two sides of ΔWXZ are proportional to two sides of ΔXYZ, and

that the included angles between the two sides, ∠WZX and ∠XZY are

congruent, the two triangles, ΔWXZ and ΔXYZ are similar by Side-Angle-

Side, SAS, similarity postulate.

The option that best completes the proof is therefore;

$\displaystyle \frac{16}{12} = \frac{12}{9}$ which is; <u>16 over 12 equals 12 over 9</u>

Learn more about the SAS similarity postulate here:

brainly.com/question/11923416

4 0

3 years ago

Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he w

creativ13 [48]

Answer:

The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.

A graph is attached for reference.

Step-by-step explanation:

Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.

Where two points are (0,40) and (1,60).

Finding the slope,

$m=\frac{(y2-y1)}{(x2-x1)} \\m=\frac{(60-40)}{(1-0)} \\m=\frac{20}{1} \\m=20$

Let us find the equation now,

$y-y1 = m(x-x1)$

Substituting (0,40) as (x1,y1) and slope m = 20

$y-40=20(x-0)\\y-40 = 20x\\y= 20x+40$

Here the 'y' intercept $40$ represents the initial charge of Sam.

On comparing the equations of Sam and Sully we observe that Sam initial charge is $40$ dollars.

And Sully's initial charge is $36$ dollars.

Thus Sam's initial charge is $4 greater than Sully's.

Similarly,

Slope represents their per hour charge.

The coefficient of 'x' represents their slope,

Slope in case of Sam,

$y=20x+40$ is $'20'$

And

Slope in case of Sully,

$y=22x+36$ is $'22'$

Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.

4 0

3 years ago

The ginger cookie is larger than the oatmeal cookie. The chocolate cookie is smaller than the oatmeal cookie but larger than the

mr Goodwill [35]

Answer:

the ginger cookie

Step-by-step explanation:

3 0

2 years ago

gabriella wants to tile a room with an area of 320 square feet. the width of the room is 4/5 its length. what are the length and

Salsk061 [2.6K]

Assuming the shape of the room is a rectangle :

Area = Width x Length.

Let's call width "w" and length "l" . Now if, the width is 4/5 of the length that means 4/5 times length gives us the width, like this :

$w=\frac { 4 }{ 5 } \cdot l$

As given in the question, area of the rectangle is 320 square feet. And as I said before area of a rectangle can be found by multiplying its length and width.

$w.l=320$

$w=\frac { 4 }{ 5 } \cdot l$ , we can plug w's value in the previous equation to find "l".

$\frac { 4 }{ 5 } \cdot l\cdot l=320\\ \\ \frac { 4 }{ 5 } \cdot { l }^{ 2 }=320\\ \\ { l }^{ 2 }=320\cdot \frac { 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 320\cdot 5 }{ 4 } \\ \\ { l }^{ 2 }=\frac { 1600 }{ 4 } \\ \\ { l }^{ 2 }=400\\ \\ \sqrt { { l }^{ 2 } } =\sqrt { 400 } \\ \\ l=20$

Let's plug "l"s value in the equation.

$w.l=320\quad \Longrightarrow \quad w\cdot 20=320\quad \Longrightarrow \quad w=\frac { 320 }{ 20 } \quad \Longrightarrow \quad w=16$

The length is 20 feet and the width is 16 feet.

6 0

4 years ago

Read 2 more answers