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jok3333 [9.3K]
2 years ago
8

Plssss help. High school mathematics

Mathematics
1 answer:
VikaD [51]2 years ago
7 0
UT= 15
Hope it helps
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The hour hand on a clock is 4 cm long, and the minute hand is 10 cm long. What is the exact distance between the tips of the han
Allushta [10]

Answer:

2 sqrt(19)

Step-by-step explanation:

We know that the angle between the two hands

360 /12 *2 = 60 degrees

We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12

This is a triangle where we know 2 sides and the angle between them.

We can use the law of cosines to determine the third side

c^2 = a^2 + b^2 -2abcosC

Where C is the angle between sides a and b

a =4 and b = 10  C = 60  and we are looking for side c

c^2 = 4^2 + 10^2 -2*4*10 cos60

c^2 =16+100 - 80cos 60

c^2 = 76

Take the square root of each side

sqrt(c^2) = sqrt(76)

c = sqrt(76)

c =sqrt(4) sqrt(19)

c =2 sqrt(19)


4 0
2 years ago
The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper
nikklg [1K]

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

A = (-6,0)

B = (-4,0)

Area = 12

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}

AB = \sqrt{(-2)^2 + (0)^2}

AB = \sqrt{4 + 0}

AB = \sqrt{4}

AB = 2

The above represents the length of the triangle.

Next, calculate the width using:

Length * Width = Area

2* Width = 12

Divide both sides by 2

Width = 6

This implies that, the width of the rectangle is 6 units.

We have:

A = (-6,0)

B = (-4,0)

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

C = (-6,0-6)\\ => C = (-6,-6)

D = (-4,0-6) => D = (-4,-6)

Hence, the points of the rectangle are:

A = (-6,0)

B = (-4,0)

C = (-6,-6)

D = (-4,-6)

<em>See attachment for rectangle</em>

6 0
3 years ago
stion 1 OT 5A researcher recorded the number of swans and the number of ducks in a lake every month. Function s represents the n
Anon25 [30]

Given functions are

s(n)=2(1.1)^n+5_{}d(n)=4(1.08)^n+3

The total number of ducks and swans in the lake after n months can be determined by adding the functions s(n) and d(n).

t(n)=s(n)+d(n)

t(n)=(2(1.1)^n^{}+5)+(4(1.08)^n+3)

t(n)=2(1.1)^n+5+4(1.08)^n+3

t(n)=2(1.1)^n+4(1.08)^n+5+3

t(n)=2(1.1)^n+4(1.08)^n+8

Taking 2 as common, we get

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

Hence The total number of ducks and swans in the lake after n months is

t(n)=2\lbrack(1.1)^n+2(1.08)^n+4\rbrack

8 0
1 year ago
WILL GIVE BRAINLIEST<br><br>solve for x : -4 = (2/3)x <br><br>show steps please
cupoosta [38]
<h2>Answer:  x = -6</h2>

<h3>Step-by-step explanation:</h3>

To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)

<h3></h3>

since    -4 = (2/3)x     [mutiply both sides by 3]

⇒    -4 × 3 = 2x     [divide both sides by 2]

⇒   (-12/2) = x      [simplify by dividing -12 by 2]

∴            x = -6

3 0
2 years ago
Read 2 more answers
Which point is on the circle centered at the origin with a radius of 5 units?
Aleonysh [2.5K]

Answer:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

{x}^{2}  +  {y}^{2}  = 25

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

{2}^{2}  +  {y}^{2}  = 25 \\ 4 +  {y}^{2}  = 25 \\  {y}^{2}  = 25 - 4 \\ {y}^{2}  = 21

Take square root to get:

y =  \pm \sqrt{21}

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

3 0
3 years ago
Read 2 more answers
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