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3 years ago

2.In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

Mathematics

1 answer:

Vitek1552 [10]3 years ago

6 0

Answer:

AC = 12

Step-by-step explanation:

From the question, we have that BD is perpendicular to AC

This means that it is at 90 degrees to the base

so we have two similar right triangles

Let us use Pythagoras’ theorem to get the measure of one of the legs (AD and DC)

Let us call the leg x

We have the Pythagoras’ theorem stating that the square of the hypotenuse (the side facing the right angle; 10 here) is equal to the sum of the squares of the two other sides

10^2 = x^2 + 8^2

100 = x^2 + 64

x^2 = 100-64

x^2 = 36

x = √36

x = 6

AD = DC = 6

AC = 2 * AD

AC = 2 * 6

AC = 12

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14. Michelle simplified an expression for the perimeter of the rectangle below and got X + 35.

Zigmanuir [339]

Answer:

The correct expression for the perimeter is $P=(\frac{5}{3}x+70)\ units$

see the explanation

Step-by-step explanation:

The complete question in the attached figure

Let

L ----> the length of rectangle

W ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

In this problem we have

$L=(\frac{5}{6}x+23)\ units$

$W=12\ units$

substitute the values

$P=2(\frac{5}{6}x+23+12)$

$P=2(\frac{5}{6}x+35)$

$P=(\frac{10}{6}x+70)\ units$

Simplify

$P=(\frac{5}{3}x+70)\ units$

Michelle didn't multiply the sum of length and width by 2

6 0

3 years ago

I’m stuck on this question. any help would be greatly appreciated

Mademuasel [1]

Using the Pythagorean theorem we get:

$y^2+8^2=12^2.$

Simplifying the above result we get:

$y^2+64=144.$

Subtracting 64 from the above equation we get:

$\begin{gathered} y^2+64-64=144-64, \\ y^2=80. \end{gathered}$

Therefore:

$y=\sqrt{80}\approx8.9.$

Answer:

$y=8.9.$

4 0

2 years ago

leslie bought 4 boxes of thin mint girl scout cookies each box contains 32 cookies leslie decides to share the cookies equally a

Semenov [28]

Answer:
16 cookies

Explanation:
If each box has 32 cookies then, 4•32=128
Then if Leslie divides them equally into 8 platters, 128/8 will equal 16.

4 0

3 years ago

There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

ValentinkaMS [17]

Hello there.

<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 = 72.
The number of people that could be fed from the 24 pizzas is 72.

Hope This Helps You!
Good Luck Studying ^-^</span>

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3 years ago

from 1960 to 1970, the consumer price index increased from 29.6 to 38.8 if a dozen tangerines cost $0.31 in 1960 and the price o

Nitella [24]

The percent increase in the price index from 1960 to 1970 is:

% increase in price index = (38.8 – 29.6) * 100% / 29.6

% increase in price index = 31.08%

Therefore the price of a dozen tangerines in 1970 (X) is:

31.08 = (X - $0.31) * 100 / $0.31

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3 years ago