Find the solutions to the equation below
20x^2-26x+8=0
Select all that apply

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=10

Step-by-step explanation:

4x-18=3x-8

4x-3x=-8+18

x=10

Answer:

- 9 °C or 9 °C

The number line shows that - 9 and 9 and both 9 away from 0.

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

Step-by-step explanation:

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

•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

Whatever you want! Like 1+1 also. But adding random things is good for practice. Are you asking what to add for a practice you have? Well then add 362791+489920 or anything else.

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

You can add whatever you want to add ^^

HAVE A GUD DAY!  ∧∧

Answer:

Total number of books borrowed= 16

Step-by-step explanation:

Giving the following information:

Number of non-fictions books= 4

Percentage of books borrowed= 25% = 0.25

To calculate the total number of books borrowed, we need to use the following formula:

Total number of books borrowed= 4 / 0.25

Total number of books borrowed= 16

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:

aₙ = -2(2)^(n-1)

Step-by-step explanation:

Answer: 56

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

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

Answer:

35

Step-by-step explanation:

15.75 / 0.45 = 35

Answer:

First answer is 5x (4+y).

Second answer is 4h (1+6j)

Third answer is 2f (2e+9)

Hope this helped :)

Step-by-step explanation:

Answer:

x = 127 i promise, i forgot the name of this theorem but there is a theorem that proves x = 127

Hope this helps!

Answer: The number of units sold when the manufactures home income equals the manufactures expenses

Step-by-step explanation:

The solution to f(x) = g(x) represent that manufacturer is on break even.

Break-even analysis Break even is the point where the income of a business matches the expenses required to run that business. Also in other words it tell us the point at which you will have enough sales to cover all of the costs involved.

Here as it is given that the income f(x) to its expenses g(x) for x number of units sold is equal.

Therefore, its state will be break even.

Learn more about the break even here: https://brainly.com/question/21137380

#SPJ2

3906.25

Use  a calculator

Answer:

90 degrees and 180 degrees

Step-by-step explanation:

90 degrees and 180 degrees

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]

Answer:

I think the answer is B. sorry if its wrong..

Step-by-step explanation:

Answer:

Bar C and the equation 4y = 44

Hope this helps!

Answer:

4 seconds

Step-by-step explanation:

When the ball hits the ground the height is 0

-16t² + 64t = 0

Divide both sides by -16

t² - 4t = 0

Factor out t

t(t - 4) = 0

From the zero product rule

t = 0    and    t - 4 = 0

t = {0, 4}

The ball hits the gound after 4 seconds

Answer:

the amount of that were pulled out

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:

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:

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:

Step-by-step explanation:

the balloon starts at a height of 0 ft and rises at a rate of 100 ft.

∆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:

j would be 130 cuz sides that are congruent have congruent angles so you add those two angles up and subtract from 180

Answer:

Step-by-step explanation:

x = 130

Base angles of isosceles triangles are congruent so angle L is also 25

There is 180 degrees in a triangle so you would do 25 + 25 + x = 180

then solve for x

Step-by-step explanation:

the corect answer for this question is

A)

[tex]when \: \: x = 2 \\ y = \frac{1}{4} {2}^{2} \\ y = 1[/tex]