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insens350 [35]
4 years ago
15

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 =

20

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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]

<u>Complete Question:</u>

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.

<u>Correct Answer:</u>

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

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

<u>Step-by-step explanation:</u>

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

5 0
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:

12

Step-by-step explanation:

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

5 0
2 years ago
Read 2 more answers
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.
3 0
3 years ago
Read 2 more answers
Help me plssssssssssssssssssss
ruslelena [56]

Answer:

multiply by 2

Step-by-step explanation:

3 0
2 years ago
What expression is equivalent to 12x⁴ over 4x¹⁶
alexgriva [62]

Answer:

\frac{3}{x^1^2}

Step-by-step explanation:

\frac{12x^4}{4x^1^6}=3x^4/x^16

bring "x^4" to the bottom to subtract it with x^16

3/x^16*x^-4

3/x^12

hope this helps!

7 0
3 years ago
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