All categories

3 years ago

The length of a right triangle is 32 cm in the height is 10 cm what is the area of the triangle

Mathematics

1 answer:

IRINA_888 [86]3 years ago

4 0

Answer: 160cm

Step-by-step explanation:

32x10 is 320 divided by 2 is 160. Triangle equation for area= bxhdivided by 2

You might be interested in

You have 64 coins, consisting of pennies, nickels, and quarters. The value of

Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

There are 20 pennies, 33 nickels and 11 quarters

6 0

2 years ago

Read 2 more answers

What is the intersection of plane ABC and plane CDH

katovenus [111]

The intersection of plane ABC and plane CDH is line DC.

8 0

3 years ago

A study conducted by the Center for Disease Control that asked 15,000 students about

BaLLatris [955]

Answer:

The sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

The study was conducted using the data from 15,000 students.

Since the sample size is so large, i.e. n = 15000 > 30, the central limit theorem is applicable to approximate the sampling distribution of sample proportions.

So, the sampling distribution of $\hat p$ is: $\hat p\sim N(p,\ \frac{p(1-p)}{n})$ .

5 0

2 years ago

Which of the following does not describe a control group? O A. a group of patients given a new drug B. a group of patients given

Veronika [31]

Answer:

the answer = C (may be but not sure)

5 0

3 years ago

Read 2 more answers

Please help me with thus pls

sergiy2304 [10]

Answer: 7

Step-by-step explanation:

8 0

2 years ago