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Answer:

4/6

Step-by-step explanation:

Answer:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

Step-by-step explanation:

we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle

in order to do so we need to figure out the adjacent side (height AB)

since the given triangle is a right angle triangle we can consider Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that,a=21 and c=28

substitute:

[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]

move left hand side expression to right hand side and change its sign:

[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]

square root both sides:

[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]

use algebraic indentity:

[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]

simplify:

[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]

use redical property:

[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]

now to figure out the area we can consider the following formula:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]

remember that,h=AB=7√7 and b=BC=21 thus substitute:

[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]

simplify multiplication:

[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]

hence,

the area of the triangle is 194 (approximately)

note: you can also use horon's formula but I like to keep things simple

Please find attached photograph for your answer.

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

[tex]\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right][/tex]

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

[tex]A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right][/tex]

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

[tex]A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right][/tex]

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

Answer:

z/y

Step-by-step explanation:

Answer:

y = -2x + 5 [ 1st option ]

Step-by-step explanation:

Consider any two points , say

Firstly let's find the slope of the line as ,

=> m = y₁ - y₂ / x₁ - x₂

=> m = 3-1 / 1-2

=> m = 2/-1

=> m = -2

Third point is, (3 , -1) . Using slope point form .

=> y - y₁ = m ( x - x₁ )

=> y - (-1) = -2( x - 3)

=> y + 1 = -2x +6

=> y +2x +1-6=0

=> y +2x -5 = 0

=> y = -2x + 5

On looking at options first one is correct

Answer:

A rectangle has 2 lines of symmetry

Answer:

slope = 0

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, - 9) and (x₂, y₂ ) = (14, - 9)

m = [tex]\frac{-9+9}{14-8}[/tex] = [tex]\frac{0}{6}[/tex] = 0

Answer:

The answer is 8.5

Step-by-step explanation:

Just list all the numbers and cross them out one by one.

Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

Answer:

Volcanic Eruptions, Earthquakes, Erosion

I am very sorry if this is wrong

Have a great rest of your day and good luck!

Answer:

the answer is a, b, and d

Step-by-step explanation:

erosion is caused by wearing down overtime

Answer:

uhhh is this a trick question lol

have a good day :D

Step-by-step explanation:

Answer:

no lol

Step-by-step explanation:

Answer:

i will tell you what to do and then you do the work

Step-by-step explanation:

arrange the numbers from lowest to largest

count the amount of numbers to find how many students wrote each test

to find the mean add all of the numbers up then divide by the amount of numbers there are

to find the mode it that is the number that appears the most or the most common value

to find the median is the middle number, when you put it from lowest to largest, it will be the middle number

hope this helps

Answer:

Monsoon.

Step-by-step explanation:

Answer:

upper level

Step-by-step explanation:

I think it is because it it sounds like it match

Answer:

x=10

Step-by-step explanation:

4x-18=3x-8

4x-3x=-8+18

x=10

Answer:

The approximate distance between points D and E is 8.25

Step-by-step explanation:

The figure is as follows :

To find - What is the approximate distance between points D and E ?

Solution -

By Pythagoras Theorem, we get

(DE)² = (FE)² + (DF)²

        = (8)² + (2)²

        = 64 + 4

        = 68

⇒(DE)² = 68

⇒DE = √68

⇒DE = 8.246

∴ we get

The approximate distance between points D and E is 8.25

Answer:

x ≠ 4/5, x ≠ 9/4

You can also write it as "all real numbers except 4/5 and 9/4."

Step-by-step explanation:

The denominator of a fraction cannot equal 0. We can write this relation to find what x does NOT equal:

(5x - 4)(4x - 9) ≠ 0

We can use the zero-product property to get two separate equations:

5x - 4 ≠ 0

5x ≠ 4

x ≠ 4/5

4x - 9 ≠ 0

4x ≠ 9

x ≠ 9/4

Answer:

true false true

Step-by-step explanation:

45 percent (calculated percentage %) of what number equals 15.75? Answer: 35.

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Step-by-step explanation:

[tex](A-B) = ( - 2, \: - 2, \: - 2, \: - 2)[/tex]

Answer:

112.25

Step-by-step explanation:

Answer:110.25

Step-by-step explanation:

Answer:

0.54 cents

Step-by-step explanation:

4 cups per quart = 8 cups per 2 quarts

4.32/8 = .54

Answer:

y = 259.6/2 = 129.8 degrees. so x = 129.8 - 79.6 = 50.2 degrees.

Step-by-step explanation:

I got this answer from somewhere else. but it is correct. i hope this helped.

Answer: -1/2 and -3/2

Step-by-step explanation:

∆ABC=∆DEF

AB=DE –>String

BC=EF–> Rib

m<C=m<F=90° –>List

AC=DF

So m<A=m<D=35 (It is not clear whether the number is 35 or 36, but the same number)

Answer:

12/25

Step-by-step explanation:

If you got 26 tails, that means you got 50 - 26 or 24 heads. The experimental  probability can be represented by the desirable flips over the total number of flips. We are looking for heads, so the amount of heads is the amount of desirable flips, and the total is 50. From this, we get the fraction 24/50 which simplifies to 12/25.

Answer:

120miles

Step-by-step explanation:

I am not sure exactly I just guessed that since it's 40 miles an hour, it would be 40 x 3 ~ but am not sure... hope it works out!

btw am rlly bad at this :'')

- sry if am wrong

Answer:

f(x)=exponential

g(x)= quadratic

h(x)= linear

Step-by-step explanation:

exponential function

[tex] {ab}^{x} [/tex]

Quadratic function

[tex]a {x}^{2} + bx + c[/tex]

Linear function

[tex]y = mx + c[/tex]

Hi there!

[tex] \large \boxed{ y = {a}^{x} \: \: (a \neq 0, \: a > 1)}[/tex]

The equation above is an exponential family type.

[tex] \large \boxed{y = a {x}^{2} + bx + c \: \: (a \neq 0)}[/tex]

The equation above is quadratic type.

[tex] \large \boxed{ y = mx + b}[/tex]

The last type above is a linear type.

Hence, the answers are:

Answer:

[tex]Pr = 0.59049[/tex]

Step-by-step explanation:

See Comment for Complete Question

Given that A has 5 digits. A digit in A can be chosen from 0 to 9 (10 digits).

However, selection without 4 means that we can only select from 0 to 3 and 5 to 9 (altogether, that is 9 digits)

The probability of selecting a number other than 4 in each of the digit is:

[tex]1st \to \frac{9}{10}[/tex]

[tex]2nd \to \frac{9}{10}[/tex]

[tex]3rd \to \frac{9}{10}[/tex]

[tex]4th \to \frac{9}{10}[/tex]

[tex]5th \to \frac{9}{10}[/tex]

So, the required probability is:

[tex]Pr = 1st * 2nd * 3rd * 4th * 5th[/tex]

[tex]Pr = \frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10} *\frac{9}{10}[/tex]

[tex]Pr = \frac{9^5}{10^5}[/tex]

[tex]Pr = \frac{59049}{100000}[/tex]

[tex]Pr = 0.59049[/tex]

Answer:

1/6

Step-by-step explanation:

1st spin:

1 out of the 5 sections are pink, so the probability of spinning a pink on the 1st spin is 1/5.

2nd spin:

5 out of the 6 sections are not pink, so the probability of spinning a pink on the 2nd is 5/6.

Multiply the probabilities of the two spins to get the answer.

[tex]\frac{1}{5} *\frac{5}{6} =\frac{5}{30} =\frac{1}{6}[/tex]