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4 years ago

XYZ is a right triangle. If XY = 10, what is XZ

Mathematics

1 answer:

BartSMP [9]4 years ago

3 0

this is a right-angled triangle and also half isosceles triangle where XY is half of the XZ side,

10 * 2 =

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Janeel has a 10-inch by 12-inch photograph. She wants to scan the photograph, then reduce the result

Vaselesa [24]

Complete Question:

Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.

Correct Answer:

A) $(10-x)(12-x)=15$

B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

Step-by-step explanation:

a. Write an equation to represent the area of the reduced image.

Let the reduced dimensions is by x , So the new dimensions are

$length=10-x\\breadth=12-x$

According to question , Area of new image is :

⇒ $Area = \frac{1}{8}Length(breadth)$

⇒ $Area = \frac{1}{8}(10)(12)$

⇒ $Area = 15$

So the equation will be :

⇒ $(10-x)(12-x)=15$

b. Find the dimensions of the reduced image

Let's solve : $(10-x)(12-x)=15$

⇒ $120-10x-12x+x^2=15$

⇒ $120-22x+x^2=15$

⇒ $x^2-22x+105=0$

By Quadratic formula :

⇒ $x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $x = \frac{22 \pm8 }{2}$

⇒ $x = \frac{22 +8 }{2} , x = \frac{22 -8 }{2}$

⇒ $x = 15 , x =7$

x = 15 is rejected ! as 15 > 10 ! Side can't be negative

⇒ $x =7$

Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch

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3 years ago

There were a total of three football games a month. The season is played for four months. How many football games are in the sea

svp [43]

Answer:

Step-by-step explanation:

Because 3 games per month and there are 4 months in a season SO 3*4=12 games

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2 years ago

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A school choir has 36 members. There are three times as many underclassmen as seniors. How many seniors are in the choir? 9 seni

amm1812

There are 9 seniors.

Although there are several ways of solving this problem, I just did what was easiest for me in my head. I divided 36 by 4, which gave me 9.

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3 years ago

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ruslelena [56]

Answer:

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Step-by-step explanation:

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2 years ago

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