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RSB [31]
3 years ago
7

What is the value of Y ?

Mathematics
1 answer:
gtnhenbr [62]3 years ago
7 0

Answer:

y=7

Step-by-step explanation:

Since y "b" of the triangle is x and the hypotenuse is 2x, you can divide 14 by 2 and get 7, the answer.

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Pls help. !!!!!!!!!!!!!!!!!! (Give steps if you can)
kipiarov [429]

Answer:

144 cm^{2}

Step-by-step explanation:

<u>Step 1: Find the true length of each side</u>

We know that the perimeter is 56cm and the ratio of AD:AB:DC:BC is 5:12:6:5. It is safe to assume that this ratio is the simplified version, which means that if we multiply each of these numbers by a scale factor of x, then we get the true length of each side, so we would get 5x, 12x, 6x, 5x for the sides. We also know that when we add these numbers, we get the perimeter, which is 56. So, we can create the equation 5x + 12x + 6x + 5x = 56. Then, solve the equation for x, which would be 2, and go back and multiply each number with 2 to get the following:

AD = 5*2 = 10cm, AB = 12*2 = 24cm, DC = 6*2 = 12cm, BC = 5*2 = 10cm  

<u>Step 2: Calculate the Height</u>

Now we know the lengths of each side, lets take a look at the formula for the area of a trapezium: \frac{base_{1}  + base_2}{2}*height. So, the next step would be to calculate the height. We can draw the height by drawing a line straight down from the vertex D and another straight down from the vertex C. These lines are both the height, and will be the exact same length. We can calculate that the height is 8 because AB is 24 cm, but the length from the height at vertex D to the height at vertex C is 12 cm, so that means that the base of each triangle is 12/2 = 6 cm. Then we can use Pythagorean theorem to figure out that the height is 8cm.

<u>Step 3: Calculate the Area</u>

Lastly, we can calculate the area. The formula is \frac{base_{1}  + base_2}{2}*height. In this case, the numbers would be \frac{12 + 24}{2} * 8 = 144cm^{2}

I know this is a lot, so let me know if you have any questions!

6 0
1 year ago
The numbers of points that a player must accumulate to reach the next level of a video
ludmilkaskok [199]

Answer:

a_n=125×20^(n-1)

Step-by-step explanation:

a_n=x×y^(n-1)

a_3=50000=x×y^2

a_5=20000000=x×y^4

y^2=20000000/50000=400

y=20;x=125

3 0
2 years ago
Sylvia has three pet gerbils. if two of her gerbils each has two babies every two months, how many babies will the gerbils has a
katen-ka-za [31]

Answer:

They will have 24 babies in one year

Step-by-step explanation:

All you need to do is add 6 babies every two months starting in January. Include January as the gerbils having their first 6 babies. Every 2 months includes 4 months out of the year. 6*4 = 24 babies.

3 0
3 years ago
Read 2 more answers
Help help help plz plz
Kryger [21]

Answer:

15

Step-by-step explanation:

We add the exponents so it is 10+5=15

5 0
2 years ago
Read 2 more answers
Find the exact area of the sector of the circle with the following radius and central angle
Lostsunrise [7]
THe area of the whole circle is pi r^2  = 6^2 * pi = 36pi

There are 360 degrees in a crcle so this sectors area i (30/360) *36pi

=  3 pi
5 0
3 years ago
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