3 years ago

Simplify the expression. |5| - |-4|

Mathematics

1 answer:

mylen [45]3 years ago

6 0

Answer:

Step-by-step explanation:

Absolute value means take what is inside and make it positive

|5| - |-4|

5 - 4

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in angle HIJ the measure of angle J is equal to 90° HI is equal to 88 ft,and IJ=62ft . find the measure of angle I to the earest

Radda [10]

Answer: $45.21^{\circ }$

Step-by-step explanation:

Given

$\angle J=90^{\circ }$

HI=88 ft

IJ=62 ft

From the figure, we can write

$\cos I=\frac{IJ}{HI}=\frac{62}{88}=\frac{31}{44}\\I=\cos^{-1} (\frac{31}{44})=45.207^{\circ }\approx 45.21^{\circ }$

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Anika [276]

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castortr0y [4]

Answer:

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Step-by-step explanation:

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The diagonal of a square is x what is the perimeter of the square

RSB [31]

Answer:

2 $\sqrt{2}$ x

Step-by-step explanation:

The diagonal divides the square into 2 right angles with legs s and hypotenuse x

Using Pythagoras' identity on one of the right triangles, then

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2s² = x² ( divide both sides by 2 )

s² = $\frac{x^2}{2}$ ( take the square root of both sides )

s = $\sqrt{\frac{x^2}{2} }$ = $\frac{x}{\sqrt{2} }$

Thus

perimeter = 4s = 4 × $\frac{x}{\sqrt{2} }$ = $\frac{4x}{\sqrt{2} }$

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