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3 years ago

Please if you can help with both

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

9. C

10. C

Step-by-step explanation:

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Ralf is looking for a new baseball cap with his favorite team's logo on it. He finds one that normally sells for $17.99 on sale

Nitella [24]

Answer: $4

Step-by-step explanation:

Ralf is looking for a new baseball cap that his favorite team's logo on it and then finds one that normally sells for $17.99 on sale at 20% off.

We are to find the discount to the nearest cent. This will be:

Selling price= $17.99

Percentage off= 20%

Discount= Percentage off × Selling price

= 20% × $17.99

= 20/100 × $17.99

= 0.2 × $17.99

= $3.598

To the nearest cent, it will be

$3.598 = $4

The discount is $4 to the nearest cent.

6 0

3 years ago

Read 2 more answers

The sum of the diagonals of a rhombus is 5√2.

Alex

Greetings!
Let ABCD be a rhombus
AC + BD = 5√2 cm

Area of ABCD = Ar△ABD + Ar △BCD
$= \frac{1}{2} \times BD \times AO + \frac{1}{2} \times BD \times OC$
$= \frac{1}{2} BD (AO + OC)$
$\frac{1}{2} BD \times AC$

$So, \frac{ BD \times AC}{2} = 4 \: cm {}^{2}$
$BD \times AC = 8$
$Now, AC + \: BD = 5 \sqrt{2}$

Squaring both sides, we get
$AC {}^{2} + BD {}^{2} + 2 AC.BD =50$
$AC {}^{2} + BD {}^{2} + 2 \times 8 = 50$
$AC {}^{2} + BD {}^{2} = 50 - 16$
$AC {}^{2} + BD {}^{2} = 34$

In △AOB, we have
$OA {}^{2} + OB {}^{2} =AB {}^{2}$
$( \frac{ AC }{2} ) {}^{2} + ( \frac{ BD}{2} ) {}^{2} = AB {}^{2}$
$\frac{ AC {}^{2} } {4} + \frac{ BD {}^{2} }{4} = AB {}^{2}$
$AC {}^{2} + BD {}^{2} = 4 AB {}^{2}$
$34 = 4 AB {}^{2}$

Square rooting both sides
$\sqrt{34} = 2 AB$
$Perimeter = 4 \: AB \\ = 2 \times 2 \: AB \\ = 2 \: \times \sqrt{34 } \\ = 2 \sqrt{34 \: } units$ .

Hope it helps!

7 0

3 years ago

What is the determinant of k=[6 8]

Digiron [165]

It’s 18 for sure it’s pretty simple

3 0

4 years ago

5.82-1.76 rounded to the nearest whole number

umka2103 [35]

Answer:

4.06 = 4

Step-by-step explanation:

3 0

3 years ago

Rodrigo is organizing a banquet. He rents a hall for a fee of $225. The catered dinner is $25 per person. He hires a deejay who

Aleks [24]

Hello there! An equation that can be used to find the total cost of the banquet is this:

225 + 50h + 25p = c

This is because "c" represents the total cost of everything, "h" represents hours, and "p" represents people. The $225 paid to rent a hall is a one-time price and does not go up. $50 is paid per hour to the DJ, and $25 is the amount per person for dinner.

8 0

4 years ago