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ankoles [38]
3 years ago
12

The length of a side of a square is represented by 2x. The area of the square is

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0
The length of a side is 18.
Here is my work attached:
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An item costs $45.60. If there is a 30% discount on the item, what is the discounted cost of the item?
kondor19780726 [428]
Discounted Cost= Cost of Item - (Cost of Item * % Discount)


= $45.60 - ($45.60 * 30%)
convert % to decimal (30% ÷ 100)

= 45.60 - (45.60 * 0.30)
multiply in parentheses

= 45.60 - 13.68

= $31.92 discounted cost


ANSWER: The discounted cost of the item is $31.92 (savings of $13.68).

Hope this helps!  :)
6 0
3 years ago
Which measurement is closest to the measure of segment W Z?
noname [10]
Like XZ divides the cord YV into two congruent parts (YW=5.27 cm=WV), this segment XZ must be perpendicular to the segment YV, then the angle XWY in triangle XWY is a right angle (90°) and the triangle XWY is a right angle.

We can apply the trigonometric ratios in triangle XWY:
Hypotenure: XY
sin 44°=(Opposite leg to 44°)/(hypothenuse)
sin 44°=YW/XY
sin 44°=(5.27 cm)/XY
Solving for XY. Cross multiplication:
sin44° XY=5.27 cm
Dividing both sides of the equation by sin 44°:
sin 44° XY / sin 44° = (5.27 cm)/sin 44°
XY=(5.27/sin 44°) cm
XY=(5.27/0.694658370) cm
XY=7.586462929 cm

This value XY is the radius of the circle, then:
XZ=XY→XZ=7.586462969 cm

tan 44°=(Opposite leg to 44°) / (Adjacent leg to 44°)
tan 44°=YW/XW
tan 44°=(5.27 cm)/XW
Solving for XW. Cross multiplication:
tan 44° XW=5.27 cm
Dividing both sides of the equation by tan 44°:
tan 44° XW / tan 44°=(5.27 cm)/tan 44°
XW=(5.27/tan 44°) cm
XW=(5.27/0.965688775) cm
XW=5.457244753 cm

WZ=XZ-XW
WZ=7.586462969 cm-5.457244753 cm
WZ=2.129218216 cm
Rounded to 2 decimal places:
WZ=2.13 cm

Answer: The <span>measurement is closest to the measure of segment WZ is
2.13 cm</span>
6 0
3 years ago
HELP ME NOWWW PLS K12
chubhunter [2.5K]

Answer:

2 units

Step-by-step explanation:

5 0
3 years ago
Suppose a large shipment of telephones contained 21% defectives. If a sample of size 498 is selected, what is the probability th
grandymaker [24]

Answer:

P(-3\% < x < 3\%) = 0.901

Step-by-step explanation:

Given

p = 21\%

n = 498

Required

P(-3\% < x < 3\%)

First, we calculate the z score

z = \sqrt{p * (1 - p)/n}

z = \sqrt{21\% * (1 - 21\%)/498}

z = \sqrt{21\% * (79\%)/498}

z = \sqrt{0.1659/498}

z = \sqrt{0.000333}

z = 0.0182

So:

P(-3\% < x < 3\%) = P(-3\%/0.0182 < z

P(-3\% < x < 3\%) = P(1.648 < z

From z probability, we have:

P(-3\% < x < 3\%) = 0.901

6 0
3 years ago
The Crayola crayon company can make 2400 crayons in 4 minutes. How many crayons can they make in 15 minutes? Solve this problem
densk [106]
So, The Crayola Crayon company can make 2400 crayons in 4 minutes. In other words, every 4 minutes they can make 2400 crayons, right? So, in 15 minutes how many would they have made? Well, what we do is we divide 15 by 4 which is 3.75. Then we multiply the result, 3.75, by 2400. 3.75 * 9000. So, in 15 minutes, Crayola  would have made 900 crayons!

4/2400 = 15/x

Step 1: Cross Multiply

4/2400 = 15/x

4 * x = (15) * (2400)

4x = 36000

Step 2: Divide both sides by 2

4x/4 = 36000/2

x = 9000

The answer is, 9000!!! :D
4 0
3 years ago
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