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3 years ago

Find the missing length of the triangle.

Mathematics

1 answer:

VLD [36.1K]3 years ago

6 0

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Find c.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².

Here,

Altitude = 21 km.
Base = 20 km
Hypotenuse = c.

Now, let's solve for c.

Hypotenuse² = Base² + Altitude²

c² = (20)² + (21)²

c² = 400 + 441

c² = 841

c = √841

c = 29.

So, the value of c is 29 km.

Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.

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I dont get this please help

Alika [10]

Answer:

6 x (3-2) = (6 x 3 ) - ( 6 x 1)

Step-by-step explanation:

multiply them together and find out how to distribute it.

18 - 6

(6 x 3 ) - ( 6 x 1)

8 0

3 years ago

a normal distribution has a mean of 56 and a standard deviation of 8. Find the percentage of data values that are in the given i

vekshin1

Answer:

12) Between 40 and 64 = 0.815

13) Between 32 and 40 = 0.0235

14) Between 56 and 64 = 0.34

15) At most 56 = 0.515

16) At least 72 = 0.025

17) At most 64 = 0.855

Explanation:

To answer this, we will convert each of the values into their standardized form to make this easier.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ

x = Each value

μ = Mean = 56

σ = Standard deviation = 8

12) Between 40 and 64

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

For 64

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

So,

Between 40 and 64 = Between -2 and 1

From the curve, noting that the central point is the mean, with standard score of 0, the lines before it move in step of 1 standard deviation towards the negative side, that is, -1, -2, etc. And the lines before the central point move towards the positive side, that is, 1, 2, 3, etc.

So,

Between -2 and 1 = 0.135 + 0.34 + 0.34 = 0.815

13) Between 32 and 40

For 32,

z = (x - μ)/σ = (32 - 56)/8 = (-24/8) = -3

For 40,

z = (x - μ)/σ = (40 - 56)/8 = (-16/8) = -2

So,

Between 32 and 40 = Between -3 and -2 = 0.0235

14) Between 56 and 64

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

Between 56 and 64 = Between 0 and 1 = 0.34

15) At most 56

For 56,

z = (x - μ)/σ = (56 - 56)/8 = (0/8) = 0

At most 56 = At most 0 = 0.0015 + 0.0235 + 0.15 + 0.34 = 0.515

All the regions before z = 0)

16) At least 72

For 72,

z = (x - μ)/σ = (72 - 56)/8 = (16/8) = 2

At least 72 = At least 2 = 0.0235 + 0.0015 = 0.025

(All the regions from z = 2 to the end)

17) At most 64

For 64,

z = (x - μ)/σ = (64 - 56)/8 = (8/8) = 1

At most 64 = At most 1 = 0.0015 + 0.0235 + 0.15 + 0.34 + 0.34 = 0.855

(All the regions before z = 1)

Hope this Helps!!!

4 0

3 years ago

Find the area of a triangle whose height is 2x and base is 2x + 2.

wel

Answer: $2x^{2}+2x$

Step-by-step explanation:

1. You must apply the formula for calculate the area of a triangle, which is shown below:

$Area=\frac{base*height}{2}$

2. You know the height and the base, which are given in the problem. Then, you only need to substitute them into the equation shown above and simplify it, as following:

$Area=\frac{2x(2x+2)}{2}$

$Area=x(2x+2)\\Area=2x^{2}+2x$

3 0

3 years ago

Cynthia Besch wants to buy a rug for a room that is 20 ft wide and 26 ft long. She wants to leave a uniform strip of floor aroun

Radda [10]

Answer:

16 ft by 22 ft

Step-by-step explanation:

The Area of the carpeting she must have = 352 ft²

To solve for this, we have:

Length × Width = Area of a rectangle

352ft² = Length × Width

352ft² = (20 - x) (26 - x)

352 = 520 - 20x - 26x + x²

352 = 520 - 46x + x²

Collect like terms

x² - 46x + 520 - 352

x² - 46x + 168

We factorise

x² - 4x - 42x + 106

(x² - 4x) -(42x + 106)

x(x - 4) -42(x - 4)

(x - 4)(x - 42)

x - 4 = 0, x = 4

x - 42 = 0, x = 42

We choose the least value for x

Hence, x = 4

Length = 20 - 4 = 16ft

Width = 22- 4= 22ft

The dimensions the rug should have is 16ft by 22 ft, meaning 16ft wide and 22ft long

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3 years ago

Alberto has 92 stamps in one large album and 38 stamps in another small album. How can he use mental math to find how many more

tatyana61 [14]

Answer:

Step-by-step explanation:

92 - 38 = 54

90 - 36 = 54

5 0

3 years ago