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bulgar [2K]
3 years ago
15

Please help!! I will make you brainlest.

Mathematics
2 answers:
svlad2 [7]3 years ago
6 0

Answer:

Question 5: x = 12, Question 6: y = 2\sqrt{3}

Step-by-step explanation:

Use the Pythagorean Theorem to calculate missing sides.

Question 5 explanation: x^{2} + 9^2 = 15^2n:  ⇒ x^{2} + 81 = 225 ⇒ x^{2} = 144 ⇒ x=12

Question 5 explanation: y^{2}+6^2 =(4\sqrt{3})^2 ⇒ y^{2} + 36 = 48 ⇒ y^2 = 12 ⇒ y=2\sqrt{3}

Law Incorporation [45]3 years ago
3 0

Answer:

5) x = 12 6) y = 3.5

Step-by-step explanation:

For number 6 that one may be right I tried several ways and kept getting that answer

5. is completely write though

Hope that helps

You might be interested in
Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
Worth 12 Points, i spent 24
rewona [7]

Answer:

  \displaystyle m^{\frac{35}{12}}n^{-\frac{28}{15}}=\frac{m^{\frac{35}{12}}}{n^{\frac{28}{15}}}

Step-by-step explanation:

The relevant rule of exponents is ...

  (a^b·c^d)^e = a^(be)·c^(de)

Then ...

  (m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)

  = m^(35/12)·n^(-28/15)

__

Since you want positive rational exponents, you can write this as ...

  = m^(35/12)/n^(28/15)

6 0
3 years ago
find the volume of the following figure round your answer to the nearest tenth if necessary and make sure to use pi
Vikki [24]

Answer:

524cm^2

Step-by-step explanation:

Formula for Volume of sphere= 4/3 πr^2

We have,

r=5cm

Now,

Volume(v)=4/3 πr^2 = 4/3π 5^3= 4/3π 125 = 166.666666667π = 523.598775599

Rounding to the nearest tenth,

Volume=524cm^2

4 0
2 years ago
a class of 54 students is divided into equal groups for orientation each group should have at least 7 students but no more than
Dennis_Churaev [7]

2 students more were introducced in the class and each group had 8 people

8 0
3 years ago
A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com
nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

!!

3 0
3 years ago
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