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3 years ago

Raj draws an obtuse triangle.

Mathematics

1 answer:

Leno4ka [110]3 years ago

6 0

Answer:

one obtuse angle is the answer

Step-by-step explanation:

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The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball

Vinil7 [7]

Answer:

$\text{The scale is }\frac{1}{432}$

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

= 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

$\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432$

$\text{Hence, the scale is }\frac{1}{432}$

4 0

3 years ago

The area of triangle is a 15 in.² the triangle height is 5 inches what is the length of the base

Kryger [21]

Answer:

6 in.

Step-by-step explanation:

Hello there!

Work the triangle formula backward:

15 x 2=30

30/5=6 in

3 0

3 years ago

Read 2 more answers

How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%

blondinia [14]

The trick is to exploit the difference of squares formula,

$a^2-b^2=(a-b)(a+b)$

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

$(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2$

Whatever you do to the denominator, you have to do to the numerator too. So

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2$

Expand the numerator:

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)$

$(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}$

So we have

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2$

But √12 = √(3•4) = 2√3, so

$\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}$

7 0

3 years ago

A triangular sail has a base length of 2.5 meters.The area of the sail is 3.75 square meters.How tall is the sail?

love history [14]

Area of a triangle = 1/2 x base x height

--------------------------------------
Find Height :
--------------------------------------
3.75 = 1/2 x 2.5 x height

3.75 = 1.25 x height

height = 3.75 ÷ 1.25

height = 3 meters

----------------------------------------------------------------------------
Answer: The height is 3 meters.
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7 0

3 years ago

What is the slope of the line with the equation y-3=-1/2(x-2)?

torisob [31]

Answer: $-\frac{1}{2}$