All categories

3 years ago

Question 2 and 3 in picture

Mathematics

1 answer:

nekit [7.7K]3 years ago

7 0

The answer to number 2 is SAS
The answer to number 3 is SAS

You might be interested in

On tuesday And wednesday , cab fare cost $7.75 total. On Monday and Thursday , cab Fare cost $6.30 on each day. On Friday , cab

Rashid [163]

The average daily cost is $7.02.

to get the average cost you add up all the prices

7.75
7.75
6.30
6.30
+7.00
35.10

then you divide that by the amount of numbers you have

35.10 / 5=7.02

then there's your answer.

7 0

3 years ago

Consider these three numbers written in scientific notation: 6.5 × 103, 5.5 × 105, and 1.1 × 103. Which number is the greatest,

zavuch27 [327]

I think the answer would be B that’s the only one I consider

6 0

3 years ago

A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi

viktelen [127]

Answer:

Side length = $\sqrt{\frac{A}{3} }$ cm , Height = $\frac{1}{2} \sqrt{\frac{A}{3} }$ cm , Volume = $\frac{A\sqrt{A}}{6\sqrt{3} }$ cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

$y = \frac{A - x^{2} }{4x}$

Volume of box = Area x height

V = x² ₓ y

V = x² ₓ ( $\frac{A - x^{2} }{4x}$ )

V = $\frac{Ax - x^{3} }{4}$

To find max volume put V' = 0

So taking derivative equation becomes

$\frac{A - 3 x^{2} }{4} = 0$

A = 3 $x^{2}$

$x^{2}$ = $\frac{A}{3}$

x = $\sqrt{\frac{A}{3\\} }$

put value of x in equation 1

y = $\frac{A - \frac{A}{3} }{4\sqrt{\frac{A}{3} } }$

y = $\frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }$

y = $\frac{1}{2} \sqrt{\frac{A}{3} }$

So the volume will be

V = $x^{2}$ × y

Put values of x and y from equation 2 & 3

V = $\frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )$

V = $\frac{A\sqrt{A}}{6\sqrt{3} }$

8 0

3 years ago

Sam needs to make a long-distance call from a pay phone. With his prepaid phone card, he will be charged $1.00 to connect and $0

Mademuasel [1]

Answer: The required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

Step-by-step explanation: Given that Sam needs to make a long-distance call from a pay phone.

We are to write a system to represent the situation.

Let x represent the number of minutes Sam talked on the phone and y represents the total amount that he paid for the call.

According to the given information,

with prepaid phone card, Sam will be charged $1.00 to connect and $0.50 per minute.

So, the equation representing this situation is

$y=1+0.5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Also, if Sam places a collect call with the operator he will be charged $3.00 to connect and $0.25 per minute.

So, the equation representing this situation is

$y=3+0.25x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Thus, the required system of equations representing the given situation is

$y=1+0.5x\\\\y=3+0.25x$

3 0

2 years ago

1/5 +3/10=<br><br> one fifth plus three tenths equals

Nina [5.8K]

1/5 + 3/10
= 2/10 + 3/10
= 5/10
= 1/2

6 0

3 years ago

Read 2 more answers