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4 years ago

Simplify the square root of 6 * the square root of 8

Mathematics

2 answers:

Troyanec [42]4 years ago

4 0

Answer:

Step-by-step explanation:

4√3

denis23 [38]4 years ago

4 0

Answer:

4√3

Step-by-step explanation:

The question is to simplify √6 × √8

Applying surds

√6 can be written as √2 ×√3

and

√8 can be written as √2 × √4

but √4=2

so;

√8 is 2√2

Write the whole question as

√2×√3×2√2

This can be written as

2√2×√2×√3

But you know √2×√2 = √4 =2

So, write as

2×2×√3 = 4√3

4√3 is the simplified form

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7. If a school has 70 computers in the ratio of 3 desktops for every 4 laptops, how many

stealth61 [152]

Step-by-step explanation:

As ratio of desktops to laptops=3:4

Take no. of desktops= 3x

Take no. of Laptops=4x

Total no. of desktops+ Total no. of laptops = Total no. of computers

3x+4x=70

7x=70

x=10

Hence, the total no, of desktops= 3x

Hence, Total no. of desktops= 3×10

=30 desktops

6 0

3 years ago

The cost of renting a car is 55 a week plus.35 mile traveled during that week an equation to represent the cost would be y=55+0.

uysha [10]

Answer:

65 miles

Step-by-step explanation:

y=55+0.35x

77.75 = 55+0.35x

77.75 - 55 = 0.35x

22.75 = 0.35x

22.75 ÷ 0.35 = 0.35x ÷ 0.35

65 = x

x = 65

7 0

3 years ago

Read 2 more answers

Please help me solve this.

Vladimir [108]

Answer:

see my questions please come

6 0

3 years ago

On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago

Chord AB subtends two arcs with measures in the ratio of 1:5. Line l is tangent to a circle at point A. Find the measure of the

elena-14-01-66 [18.8K]

Answer:

30°

Step-by-step explanation:

If chord AB subtends two arcs with measures in the ratio of 1:5, then the measure of minor arc is x and the measure of major arc is 5x. Thus,

$x+5x=360^{\circ}\\ \\6x=360^{\circ}\\ \\x=60^{\circ}.$

Thus, the measure of the angle AOB is 60°. Consider isosceles triangle AOB (because AO=BO=radius of the circle). The angles adjacent to the base AB are congruent, thus

$\angle BAO=\dfrac{1}{2}(180^{\circ}-60^{\circ})=60^{\circ}.$

Since line CD is tangent to the circle,

$\angle CAO=90^{\circ}.$

Hence,

$\angle CAB=\angle CAO-\angle BAO=90^{\circ}-60^{\circ}=30^{\circ}.$

3 0

4 years ago