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3 years ago

Solve the simultaneous linear equations using substitution method

Mathematics

1 answer:

fgiga [73]3 years ago

8 0

The answer is going to be(2,1)

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A desk is 39 inches wide. What is the width in yards

Stolb23 [73]

Answer:

1.0833 yd

Step-by-step explanation:

Inches Yards

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39" 1.0833 yd

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2 years ago

Angle a=126°. What is the measure of angle b? Explain how you calculated your answer.

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3 years ago

What consists of one endpoint and all the points on one side of the endpoint extends infinitely in one direction?

GREYUIT [131]

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6 0

3 years ago

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

If triangles have the ratio of 2:3 adn the smaller traingle has a aside length of 7 what si length of the correspodning sides

REY [17]

$2:3=7:x\\\\\dfrac{7}{x}=\dfrac{2}{3}\ \ \ \ |cross\ multiply\\\\2x=7\cdot3\\\\2x=21\ \ \ |:2\\\\\boxed{x=10.5}$

5 0

3 years ago