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3 years ago

Find each quotient, simplify if necessary.

Mathematics

1 answer:

lilavasa [31]3 years ago

5 0

Step-by-step explanation:

The answer will be

1. -16

2. 1 1/8

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The lengths of the sides of a triangle are in ratio 5 : 7 : 9. The middle-in-length side is 35 cm. Find the perimeter of the tri

ipn [44]

Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is $5:7:9$ .

The length of middle side is 35 cm.

Let first side of the tringle is $x$ , length of third side is $y$ . middle side is of 35 cm.

So, the ratio of length of sides can be written as,

$x:35:y=5:7:9$

Compare the ratio to get the value of $x$ and $y$ .

$x:35:y=25:35:45\\x=25\\y=45$

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

$p=25+35+45\\p=105$

Therefore, the perimeter of the triangle is 105 cm.

For more details, refer the link:

brainly.com/question/20955459?referrer=searchResults

3 0

3 years ago

F(x)=x^5-5x^3+4x<br> How do i factor?

wel

Answer:

x(x+2)(x-2)(x+1)(x-1)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula,]a^{2} - b^{2} = (a+b)(a-b), where a = x and b = 2.

6 0

3 years ago

Can someone help me w this plz

melomori [17]

A.
If you solve it all out you get f(x)= -4x^2 -56x-202

5 0

3 years ago

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A wooden jewelry box has the shape of a prism with a regular hexagonal base of 85.3 in2. The sides of the hexagonal base are all

Anna35 [415]

Answer:

792.9 in²

Step-by-step Explanation:

Given:

Area of the base of the regular hexagonal prism box (B) = 85.3 in²

Each side length of hexagonal base (s) = 5.73 in

Height of prism box (h) = 18.10 in

Required:

Surface area of the wood used in making the hexagonal prism box

SOLUTION:

Surface area for any given regular prism can be calculated using the following formula: (Perimeter of Base × height of prism) + 2(Base Area)

Perimeter of the hexagonal base of the prism box = 6(5.73) (Note: hexagon has 6 sides.)

Perimeter of base = 34.38 in

Height = 18.10 in

Base area is already given as 85.3 in²

Surface area of the hexagonal prism box $= (34.38*18.10) + 2(85.3)$

$= 622.278 + 170.6 = 792.878 in^2$

<em>Surface area of the wood used in making the jewelry box ≈ 792.9 in²</em>

3 0

3 years ago

In a class of 35 students, 15 are seniors, 20 are females, and 7 are both a senior and a female. If I choose a student at random

zimovet [89]

Answer:

Step-by-step explanation:

15 + 20 / 35

35/35 = 1 (certain)

The probability of choosing a female or senior is 1, because these are the only two groups represented in the class.

I'm always happy to help :)

8 0

3 years ago

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