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mariarad [96]
3 years ago
9

ABCD is a rectangle. Find the length of each diagonal...

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
Setting AC = BD because the diagonals are congruent, then 3y/5 = 3y -4
y=5/3
So then AC = 1 = BD
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Using the distance formula, find the distance between two points. (6, 0) (-5, 4)
Ipatiy [6.2K]

Answer:

11.7046999

Step-by-step explanation:

using the distance formula (d=√(x₂ -x₁)² + (y₂-y₁)²), we can plug in the two points to find the distance between them:

d=√(6-(-5)² + (0-4)²

d=√(11)²+ (-4)²

d=√121+16

d=√137

d approximately equal to (≈) 11.7046999 or 11.7 or 11

3 0
3 years ago
Use the model to find 2/4 x 16
emmasim [6.3K]

Answer:

8

Step-by-step explanation:

Reduce the fraction to 1/2 then multiply it by 8 which is 8:) this this helps! Plzz mark brainliest

5 0
2 years ago
Read 2 more answers
A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability
Hoochie [10]

Answer:

The probability  of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

  • A city council consists of seven Democrats and five Republicans.
  • A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\times (n-k)!}

Compute the number of ways to select four people as follows:

{12\choose 4}=\frac{12!}{4!\times (12-4)!}=495

Compute the number of ways to selected two Democrats as follows:

{7\choose 2}=\frac{7!}{2!\times (7-2)!}=21

Compute the number of ways to selected two Republicans as follows:

{5\choose 2}=\frac{5!}{2!\times (5-2)!}=10

Then the probability  of selecting two Democrats and two Republicans as follows:

P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242

Thus, the probability  of selecting two Democrats and two Republicans is 0.4242.

6 0
2 years ago
Vaughn is calculating the volume of the cylinder below using the following work.
Mashcka [7]

Answer:

the answer is a) he was confused the height

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A student has $350.00 in her account and withdrew 3/5 of it . how much money , in dollars, remains in the account
Burka [1]

a whole, fraction wise, is always 1, so in this case we're looking at a whole of 5/5 = 1, and she withdrew 3/5, so what remained is 2/5

\cfrac{5}{5}\qquad \qquad \cfrac{5}{5}-\cfrac{3}{5}\implies \cfrac{5-3}{5}\implies \cfrac{2}{5}~\hfill 350\left( \cfrac{2}{5} \right)\implies \boxed{140}

8 0
2 years ago
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