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mestny [16]
3 years ago
12

Kayla buys a video game for $19 plus a 6% tax. Michael buys a volleyball for $18 plus a 6% tax. Enter the difference in the amou

nt Kayla and Michael paid, including tax. Round your answer to the nearest cent. HELP ME OUT PLEASE
Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

Kayla = $20.14

Michael = $19.08

The Difference = 1.06

Step-by-step explanation:

<em><u>How to solve.</u></em>

First, you need to add up how much Kayla is paying for the video game, plus the 6% tax.

19.00 + 6% = 20.14

Then, you need to do the same with Michael's.

18.00 + 6% = 19.00

To find the difference between how much Kayla and Michael paid for their items, you need to subtract their total.

20.14 - 19.00 = 1.06

and the nearest cent would be 1.10.

<u><em>I hope this helped</em></u>.<em><u>!</u></em>

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in a class of 32 students the mean height of the 14 boys is 1.56 meters and the mean height of all 32 students is 1.151 meters.
Nimfa-mama [501]

Answer: Hence, Mean height of the girls is: 1.48

Step-by-step explanation: It is given that:

in a class of 32 students .

the mean height of 14 boys is 1.56 and the mean height of all 32 students is 1.515.

Since there are 14 boys in a class.

So, number of girls is equal to (32-14)=18.

The mean height of 14 boys is 1.56.

Hence the sum of height of 14 boys is= 1.56×14=21.84

Similarly mean height of 32 students is 1.515.

Hence, sum of height of 32 students=1.515×32=48.48.

Let x denote the mean height of 18 girls.

Hence, sum of height of 18 girls is: 18 x.

Now,

18x+21.84=48.48

( since sum of height of girls and boys is equal to the sum of height of all the students)

so, 18x=48.48-21.84

18 x=26.64

Hence, x=1.48

Hence, Mean height of the girls is: 1.48

4 0
3 years ago
Which Postulate/Theorem below would prove that the triangles shown below are congruent?
velikii [3]

Answer:

Correct answer is <em>D. ASA</em>

<em />

Step-by-step explanation:

Let us first define <em>ASA congruence</em> rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.

In the question figure, we can figure out following conclusions from Triangles \triangle SRT\text{ and }\triangle WXY respectively:

  1. \angle TRS = \angle YXW
  2. Side RS = Side WX
  3. \angle TSR = \angle YWX  

As per the definition of option d) ASA congruence, the triangles are congruent.

3 0
3 years ago
A boy flying a kite lets out 300 feet of string. The height of the kite is 185 feet. What is the angle
Nataliya [291]

Answer:

The string, the height and the ground form a right triangle

The hypotenuse = 300

height =185 = opposite side

sine of the angle = 185 / 300 = 0.6166666667

arc sine (.616666666666) =

38.073 degrees

Step-by-step explanation:

4 0
3 years ago
Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

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∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

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∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

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Scilla [17]
The answer would be 17(x-32)
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