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Genrish500 [490]
3 years ago
9

Kyle's math teacher is basing quarterly grades on different percentages for the various work shown on the table. Using the given

Mathematics
1 answer:
Marina86 [1]3 years ago
8 0
<h2>Answer:</h2><h2>Kyle's expected quaterly avaarage = 87%</h2>

Step-by-step explanation:

Kyle's quaterly scores of various grade works are shown in the table.

To find the quaterly average of Kyle, we have to take average on the scores listed in the table.

Here, 4 subjects are listed and average must be performed on those scores.

Average = \frac{92 + 84 + 82 + 88}{4} = 86.5 % = 87%

Kyle's expected quaterly avaarage = 87%

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What is 25% Of 30% Of 400?
marta [7]

Answer:

25% of 30% of 400 = 30

33% decrease in value

Step-by-step explanation:

You can either get 30% of 400 first then 25% of 400 or you can get the total percentage of 400.

Method 1:

30% of 400 = 0.3 of 400 = 0.3 * 400 = 120

25% of 120 = .25 of 120 = .25 * 120 = 30

Method 2:

30% of 25% = 0.3 * 0.25 = 0.075 = 7.5% of 400

7.5% of 400 = 0.075 of 400 = 0.075 * 400 = 30

5.) To find the percentage  of the new price, you can build the equation below.

\frac{new price}{original price} = \frac{percent}{100}

\frac{200,000}{300,000}  = \frac{x}{100}

20,000,000 = 300,000x

x = 66.667

The percentage decrease in price is then 100% of the original price - 66.667% of the original price = 100% - 66.67% = 33.33% = 33% decrease.

3 0
3 years ago
Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.
Serhud [2]

Answer:

The area of a rhombus is 18\sqrt{3} square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

\sin \theta=\frac{opposite}{hypotenuse}

\sin (60)=\frac{h}{6}

\frac{\sqrt{3}}{2}=\frac{h}{6}

Multiply both sides by 6.

3\sqrt{3}=h

The height of the rhombus is 3\sqrt{3}.

Area of a rhombus is

Area=base\times height

Area=6\times 3\sqrt{3}

Area=18\sqrt{3}

Therefore, the area of a rhombus is 18\sqrt{3} square units.

8 0
3 years ago
Read 2 more answers
What is 98.86-85.15 show me answers
maks197457 [2]
To subtract 98.86 from 85.15, let's line them up by decimal.

 98.66
-85.15
______
 13.51 is the answer.

Hope this helps!

May
5 0
3 years ago
Read 2 more answers
Please help, when you give me the answer please can you put the number of the question so I know
ZanzabumX [31]
Didn't answer all because I got lazy and I think you should try and do the rest yourself. Did this in 5 mins, try putting more effort into your homework. This is basic mathematics.

8 0
3 years ago
What additional information would he need to prove the triangles are congruent using the Side-Angle-Side method?
garri49 [273]

Answer:

\angle A \cong \angle D

Step-by-step explanation:

Two ∆s can be considered to be congruent to each other using the Side-Angle-Side Congruence Theorem, if an included angle, and two sides of a ∆ are congruent to an included angle and two corresponding sides of another ∆.

∆ABC and ∆DEF has been drawn as shown in the attachment below.

We are given that \overline{AB} \cong \overline{DE} and also \overline{AC} \cong \overline{DF}.

In order to prove that ∆ABC \cong ∆DEF using the Side-Angle-Side Congruence Theorem, an included angle which lies between two known side must be made know in each given ∆s, which must be congruent accordingly to each other.

The included angle has been shown in the ∆s drawn in the diagram attached below.

Therefore, the additional information that would be need is:

\angle A \cong \angle D

3 0
3 years ago
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