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3 years ago

Please answer (20 points)

Mathematics

2 answers:

julsineya [31]3 years ago

6 0

Answer:

3√2

Step-by-step explanation:

perform factorisation

√18 = √ 2 × 3 × 3

= 3√2

True [87]3 years ago

6 0

Answer:

3 and sqaure root of 2.

Step-by-step explanation:

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A chord is 10cm from the centre of a circle of radius 15cm. Find the length of the chord.

almond37 [142]

Answer: 21.44 cm

Step-by-step explanation:

Given

Radius r=15 cm

distance of chord from the center is 10 cm

From the figure, the length of the chord is AC

Applying Pythagoras

$\Rightarrow AO^2=OB^2+AB^2\\\Rightarrow AB^2=15^2-10^2\\\Rightarrow AB^2=225-100=115\\\Rightarrow AB=\sqrt{115}=10.72\ cm$

The length of the chord is $AC=2AB=21.44\ cm$

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3 years ago

What are the roots of the equation 4x2 = 36x – 87 in simplest a + bi form?

sammy [17]

Answer:

x = 87/28

Step-by-step explanation:

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3 years ago

What is the slope that connects the two points ( -1,-2) and (4,4)<br> 8th grade math.

Aleks04 [339]

Answer:

6/5

Step-by-step explanation:

rise/run

I hope this is right! :D

6 0

3 years ago

Read 2 more answers

Simplify the expression:

kolbaska11 [484]

1. Pretty sure -2x+4/3
2. x+3/x-4

5 0

3 years ago

Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled

bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

$C=2\pi r$

Where r is the radius and $\pi=3.14$

The radius can be calculated by dividing the diameter by 2. Then:

$r=\frac{18in}{2}\\\\r=9in$

Convert 9 inches to yards (1 yard=36 inches):

$(9in)(\frac{1yd}{36in})=0.25yd$

Substitute this radius into the formula:

$C=2(3.14)(0.25yd)\\C=1.57yd$

Since there are 21 circles of wire, you need to multiply $C=1.57yd$ by 21:

$C_T=(1.57yd)(21)=32.97yd$

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.

8 0

3 years ago