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3 years ago

In ΔTUV, u = 330 inches, t = 800 inches and ∠T=53°. Find all possible values of ∠U, to the nearest degree.

Mathematics

1 answer:

JulijaS [17]3 years ago

5 0

Answer: 19

Step-by-step explanation:

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The table shows the number of games a chess player won in professional competitions, based on the number of games played.

AfilCa [17]

slope = (25-4)/(30-10)

slope = 21/20

slope =21/20

using point slope form

y-y1 = m(x-x1)

y-4 = 21/20 (x-10)

y = 21/20x -21/2 +4

y = 21/20 x -21/2 +8/2

y = 21/20x -13/2

let x=40

y = 21/20 (40) -13/2

y = 42-13/2

y = 35.5 games

If we round the slope to 1

slope =1

using point slope form

y-y1 = m(x-x1)

y-4 = 1 (x-10)

y = 1x -10 +4

y = x -6

let x=40

y = 40-6

y = 34 games

4 0

3 years ago

Find the equation of the line that passes through the point of intersection of x + 2y = 9 and 4x -2y = -4 and the point of inter

Rudik [331]

Answer:

$y=-6x+10$

Step-by-step explanation:

The point of intersection of

$x+2y=9...eqn1$

and

$4x-2y=-4...eqn2$

is the solution of the two equations.

We add equation (1) and equation(2) to get,

$x+4x+2y-2y=9+-4$

$\Rightarrow 5x=5$

$\Rightarrow x=1$

We put $x=1$ into equation (1) to get,

$1+2y=9$

$\Rightarrow 2y=9-1$

$\Rightarrow 2y=8$

$\Rightarrow y=4$

Therefore the line passes through the point, $(1,4)$ .

The line also passes through the point of intersection of

$3x-4y=14...eqn(3)$

and

$3x+7y=-8...eqn(4)$

We subtract equation (3) from equation (4) to obtain,

$3x-3x+7y--4y=-8-14$

$\Rightarrow 11y=-22$

$\Rightarrow y=-2$

We substitute this value into equation (4) to get,

$3x+7(-2)=-8$

$3x-14=-8$

$3x=-8+14$

$3x=6$

$x=2$

The line also passes through

$(2,-2)$

The slope of the line is

$slope=\frac{4--2}{1-2} =\frac{6}{-1}=-6$

The equation of the line is

$y+2=-6(x-2)$

$y+2=-6x+12$

$y=-6x+10$ is the required equation

4 0

4 years ago

Describe a real-life multiplication situation for which an estimate makes sense.

IgorC [24]

Billy want to re-do his bathroom tiles. He finds out the length and width. Then he uses estimation to figure out how many tiles he needs to buy.

7 0

3 years ago

If Paul traveled a distance of 35 miles at a rate of 7 mph, how much time did it take him?

Virty [35]

Answer:

5 hours

Step-by-step explanation:

35/5=7

7x5= 35

7 times 5 is 35 so if he was going 7 miles per hour it would take him 5 hours to travel 35 miles.

7 0

2 years ago

Andrew's bicycle has tires with a radius of 7 inches. What is the area of one of the bicycle tires, in terms of π?

Ivan

Answer:

49π

Step-by-step explanation:

The formula for the area of a circle is,

$\pi r^2$

If the radius is 7 inches we need to plug that in for r in the formula.

π(7)^2

7*7 = 49

Thus,

the area in terms of pi is 49π.

Hope this helps :)

6 0

3 years ago

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