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4 years ago

What is the length of the base of a right triangle with an area of 24 m² and a height of 4 m?

Mathematics

1 answer:

max2010maxim [7]4 years ago

7 0

Area of triangle = 1/2 × base × height
so,
24=1/2*base*4
base=12m

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You buy 11 bagels with a 20$ bill how m if change do you receive? how many bagels could you buy?

Svetllana [295]

Change you’ll receive is = 0.09
you can only buy 11 because if you divide 20/11 it will give you 1.81 and if you multiply 11x 1.81 it will give you 19.91 which is close to $20 & that’s the most you can buy .

5 0

3 years ago

What is 10 15/4 equivalent to

GrogVix [38]

Answer:

(10×4 +15) / 4

(40+15) / 4

55/4

7 0

3 years ago

Nan and Santo are designing a coffee table using 4 inch tiles. Nan uses 30 tiles and Sato uses half as many how many . how many

KiRa [710]

First, you have to find half of 30. To find "half" means that you have to divide by 2. 30 divided by 2 is 15, because 15 + 15 = 30.
30 + 15 = 45
Salo and Nan used 45 total tiles.
Finally, to find out if they have enough tiles you have to divide 36 and 24 by 4. This is because that will tell you how many 4 inch tiles need to be used. So, 36/4 is 9, and 24/4 is 6.
9 tiles + 6 tiles = 15 tiles
Yes, they will have enough tiles to cover the table.

4 0

4 years ago

What is the greatest common factor of 12хуб + 60xy? — 24x°у? ?

Liula [17]

The greatest common factor is $12xy$

Explanation:

The given expression is $12xy^6+60xy$

We need to determine the greatest common factor of the given expression.

The greatest common factor of two numbers is the largest number of the two numbers that divides them both.

Hence, from the given expression, let us common out the highest factor that divides the two numbers.

Thus, we have,

$12xy^6+60xy=12xy(y^5+5y)$

Thus, the largest number that divides both the terms is $12xy$

Hence, the greatest common factor of the given expression is $12xy$

3 0

3 years ago

The mean number of hours per day spent on the phone, according to a national survey, is four hours, with a standard deviation of

Reika [66]

Answer:

The new mean is 5.

The new standard deviation is also 2.

Step-by-step explanation:

Let the sample space of hours be as follows, S = {x₁, x₂, x₃...xₙ}

The mean of this sample is 4. That is, $\bar x=\frac{x_{1}+x_{2}+x_{3}+...+x_{n}}{n}=4$

The standard deviation of this sample is 2. That is, $s=\frac{1}{n-1}\sum (x_{i}-\bar x)^{2}=2$ .

Now it is stated that each of the sample values was increased by 1 hour.

The new sample is: S = {x₁ + 1, x₂ + 1, x₃ + 1...xₙ + 1}

Compute the mean of this sample as follows:

$\bar x_{N}=\frac{x_{1}+1+x_{2}+1+x_{3}+1+...+x_{n}+1}{n}\\=\frac{(x_{1}+x_{2}+x_{3}+...+x_{n})}{n}+\frac{(1+1+1+...n\ times)}{n}\\=\bar x+1\\=4+1\\=5$

The new mean is 5.

Compute the standard deviation of this sample as follows:

$s_{N}=\frac{1}{n-1}\sum (x_{i}-\bar x)^{2}\\=\frac{1}{n-1}\sum ((x_{i}+1)-(\bar x+1))^{2}\\=\frac{1}{n-1}\sum (x_{i}+1-\bar x-1)^{2}\\=\frac{1}{n-1}\sum (x_{i}-\bar x)^{2}\\=s$

The new standard deviation is also 2.

5 0

4 years ago