Tell whether the triangle with the given side lengths is a right triangle.

Mathematics

1 answer:

Sidana [21]4 years ago

7 0

Answer:

Step-by-step explanation:

7²+24²=49+576=625=25²≠26²

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The scale of the map measures 1 inch : 1250 miles. if the distances between two cities measure 3 inches on the map, find the act

kondor19780726 [428]

Answer:

3,750 miles

Step-by-step explanation:

Because one inch is 1250 miles so time that by three you get 3,750

3 0

3 years ago

C. Divide 45 into three parts which are in A.P. Such that the pr oduct of last two is 300.

skelet666 [1.2K]

(a−b)+a+(a+b)=45

⟹3a=45

a=15

a(a+b)=300

⟹15(15+b)=300

⟹225+15b=300

⟹15b=300−225

⟹15b15=7515

b=5

a−b=10⟹a=15⟹a+b=20

The three numbers are 10, 15, and 20.

Proof:

10+15+20=45✓

4 0

2 years ago

A rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the l

Lorico [155]

❍ Concept :-

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ Given Information :-

⠀

A rectangular mat with,

Perimeter = 36 ft.
Length = twice the width

⠀

✱ To Find :-

⠀

The dimensions of the mat
Area of the mat

⠀

✱ Formula Used :-

⠀

$\diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\$

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

Length = 2x

⠀

Now, according to the question,

⠀

$\sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\$