In the triangle m∠1 = 42°, and m∠4 =81°. What is m∠2°?

Sara, Mark and Caroline share £102 in a ratio 1:3:2. How much money does each person get?

V125BC [204]

Answer:

Sara- 17

Mark- 51

Caroline- 34

Step-by-step explanation:

1) start by adding the ratios together, so 1+3+2= 6. Due to the order of the ratio, Sara, gets 1 art of the money, Mark gets 3 parts and Caroline get 2 parts.

2) take the total amount of money (102) and divide it by (1+3+2). 102/6 is 17.

3) divide the money by the amount each person gets. Sara only has one part, so she has £17, Mark gets 3 parts so he gets £51, and Caroline gets 2 parts, so she ends up with £34.

4) do 17+34+51 to check it equals 102. ( it does ;D)

5 0

1 year ago

Explain how you can find 3x584 using expanded form

nasty-shy [4]

I believe what you need to do is multiply 3 by each number.
To start, 3*584 is 1752. Expanded form written out would be (3*500)+(3*80)+(3*4). Simply multiply all the numbers and then add them together. 3*500=1,500; 3*80=240; 3*4=12. 1,500+240=1740+12=1752. Hope this helps! :)

5 0

2 years ago

Efectuati impartirea 12xy:3x

adelina 88 [10]

In this question , we have to simplify the given ratio, which is

12xy:3x

First we have to see which factor is common in numerator and denominator,

We can write 12 as 3 times 4, that is

$3*4x*y :3x$

So the common factor is 3x.

In the next step, we cancel out 3x

$4y:1$

And that's the required simplified form .

7 0

2 years ago

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Question Number 12 You are a landscaper working on the design of a parking lot in a new shopping center. You are measuring the l

vovikov84 [41]

Answer:

$Length\: of\: D=37\frac{3}{16} \:feet$

Step-by-step explanation:

The following are the given information:

The handicapped spot, which is $10\frac{1}{16}$ feet wide and next to the curb.
The other three spots are $8\frac{3}{8}$ feet wide.
There are 4 dividing lines between the spots, and each measures $\frac{1}{2}$ foot.

The Median D therefore will be a sum of the following:

The width of the Handicapped Spot
3 X The width of the other spots
4 X The width of the dividing line

$= 10\frac{1}{16} + (3 X 8\frac{3}{8})+(4 X\frac{1}{2})\\=\frac{161}{16} + \frac{3 X 67}{8}+\frac{4}{2}\\=\frac{161}{16} + \frac{201}{8}+\frac{4}{2}\\=\frac{161+402+32}{16}\\=\frac{595}{16}\\Length\: of\: D=37\frac{3}{16} \:feet$

7 0

2 years ago

Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a

Dimas [21]

Answer:

$f(t)=-\frac{3}{2}t-7$

Step-by-step explanation:

We know that:

The initial conditions are -7 meters at 0 minutes.
Then, after 6 minutes, he was 16 meters below the ground.

According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are $(0;-7)$ and $(6;-16)$ , where t-values are minutes, and y-values are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

$m=\frac{y_{2}-y_{1}}{t_{2}-t_{1}} \\m=\frac{-16-(-7)}{6-0}=\frac{-16+7}{6}=\frac{-9}{6}=\frac{-3}{2}$

From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point $(0;-7)$ is on the y-axis, because t is null, so -7 is part of the function. Therefore the function that describes this problem is:

$f(t)=-\frac{3}{2}t-7$

7 0

2 years ago

Read 2 more answers