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3 years ago

Please help me with this question! Thank you

Mathematics

1 answer:

bija089 [108]3 years ago

4 0

Use Pythagoras theorem to find the length of SQ:-

SQ^2 = 3^2 + 4^2 (because SP = 3 and PQ = 4 cms)

SQ = sqrt (9 + 16) = 5

So tan < USQ = 6/5

the required value of the angle = 50.194 degrees = 50 12'

Its option C

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Three brothers Charlie Robert and Nicholas have 21 video games Charlie has twice as many games as Robert. Robert has 5 fewer gam

AVprozaik [17]

Answer:

The equation would be $4x-15=21$ .

Step-by-step explanation:

Given;

Total Number of Video games = 21

Let the number of video game Nicholas has be 'x'.

Now Given:

Robert has 5 fewer games than Nicholas.

so we can say that;

number of video game Robert has = $x-5$

Also Given:

Charlie has twice as many games as Robert.

so we can say that;

number of video game Charlie has = $2(x-5)=2x-10$

we need to write the equation.

Solution:

Now we can say that;

Total Number of Video games is equal to sum of number of video game Nicholas has, number of video game Robert has and number of video game Charlie has.

framing the equation we get;

$x+x-5+2x-10=21\\\\4x-15=21$

Hence The equation would be $4x-15=21$ .

On Solving we get;

Adding both side by 15 we get;

$4x-15+15=21+15\\\\4x=36$

Dividing both side by 4 we get;

$\frac{3x}{4}=\frac{36}{4}\\\\x=9$

Hence Nicholas has = 9 video games

Robert has = $x-5= 9-5=4$ video games

Charlie has = $2x-10 = 2\times9-10=18-10=8$ video games

5 0

3 years ago

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Y=-x-4 y=x solve system of equations algebraically

Serhud [2]

Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2

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3 years ago

It is 3.6 miles from steves house to the skating rink.estimate the distance from steves house to the skating rink

Rus_ich [418]

3.6 miles
If you already know the distance why would you estimate?

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4 years ago

you have a big bag of 17 marbles for our blue sticks are green 2 are red and the others are yellow what is the probability of dr

Alex Ar [27]

Answer:

3/68

Step-by-step explanation:

Given

Total 17 marbles
4 - blue marbles
6 - green marbles
2 - red marbles
The rest - yellow marbles

Probability of drawing red first:

P(red) = number of red / total number = 2/17

Probability of drawing green second, without replacement:

P(green) = number of green / number left in the bag = 6/16 = 3/8

Probability of red and green in order:

P = P(red)*P(green) = 2/17*3/8 = 3/68

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3 years ago

Solve each inequality. Then check each number that is a solution

mr_godi [17]

Answer:

3, 6, 4, 5

Step-by-step explanation:

First of all we have to multiply 2 by 2x and -9 and we obtain

4x -18 ≤ 6

now we have to move -18 on the right side of the minor or equal and change its sign

4x ≤ 6 + 18

now we have to added up 6 and 18

4x ≤ 24

At least we have to divide the the two members by 4

x ≤ 6

We have to find the numbers ≤ 6

so the answer is : 3, 6, 4, 5

3 0

3 years ago

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