11. Find the area of each figure. Show all your calculations a. 3 cm 13 cm

Answer:

[tex]x =5\sqrt 3[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x

To do this, we make use of Pythagoras theorem

[tex]x^2 + 5^2 = 10^2[/tex]

Solve the exponents

[tex]x^2 + 25 = 100[/tex]

Collect like terms

[tex]x^2 =- 25 + 100[/tex]

[tex]x^2 =75[/tex]

Take square roots

[tex]x =\sqrt{75[/tex]

Expand

[tex]x =\sqrt{25*3[/tex]

Split

[tex]x =\sqrt{25}*\sqrt 3[/tex]

[tex]x =5\sqrt 3[/tex]

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Step-by-step explanation:

the diagonals are congruent

Answer:

C

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 2, 2 ] , then

f(b) = f(2) = 2(2)² + 2 + 5 = 8 + 2 + 5 = 15

f(a) = f(- 2) = 2(- 2)² + (- 2) + 5 = 8 - 2 + 5 = 11 , then

average rate of change = [tex]\frac{15-11}{2-(-2)}[/tex] = [tex]\frac{4}{4}[/tex] = 1 → C

Answer:

Negative 80 x + 28 y minus 56

4 (negative 20 x + 7 y minus 14)

Answer:

XOC = 60

Step-by-step explanation:

AOC = DOB because they are vertical angles

AOX+XOC = 25+45

10+XOC = 70

XOC = 70-10

XOC = 60

Answer:

3072 that what I known as a 10th grader

Answer: he can pay for 6 people total (including him)

Step-by-step explanation:

first lets subtract the flat fee from the total amount of money he has

70 - 40 = 30

now lets divide 30 by  $4.50 to see how many people he can pay for

30 / $4.50 = about 6.5

obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)

Answer:

6 people

Step-by-step explanation:

ensalada no son vulgares

Answer:

₹29,710

Step-by-step explanation:

We minus ₹ 85,789 from ₹ 1,15,499 to get ₹ 29,710

Answer:

a. 8 / 10

Step-by-step explanation:

0.8 = 8 / 10

Answer:

8/10

Step-by-step explanation:

0.8

The number is in the tenths place

The denominator is 10

8/10

Answer:

[tex]x=360[/tex]

Step-by-step explanation:

The inscribed angles theorem states that when given a circle, with an angle that has its vertex at the center of the circle, the measure of the angle is congruent to the measure of the arc surrounding it. One can apply this knowledge here by stating the following,

[tex]m<MON = MN\\[/tex]

Substitute,

[tex]x=2\pi[/tex]

However, this answer is in radians, it is the literal measurement. One must convert into degrees so that the answer fits the format of the question. The conversion rate to switch between radians and degrees is the following,

[tex]degree=\frac{\pi}{180}radians[/tex]

Substitute,

[tex]degree=\frac{180}{\pi}(x)\\\\degree=\frac{180}{\pi}(2\pi)\\[/tex]

Simplify,

[tex]degree=\frac{180*(2\pi)}{\pi}\\degree=360[/tex]

Answer:

x = 45°

Step-by-step explanation:

Given arc length = 2π cm

         Radius, r = 8 cm

      [tex]Arc \ Length = 2 \pi r (\frac{x}{360})[/tex]

             [tex]2 \pi = 2 \pi \times 8 \frac{ x}{360}\\\\\frac{2 \pi}{16 \pi} = \frac{x }{ 360}\\\\\frac{1}{8} = \frac{x}{360}\\\\\frac{360}{8} = x\\\\x = 45^\circ[/tex]

Answer:

its the first one

Step-by-step explanation:

Answer:

A. 2x - (4x + 3) = 12

Step-by-step explanation:

A. 2x - (4x + 3) = 12

B. -4(4y+)+y=3

C. 2 (4x+3) - y

D. -4x+4 x-3=3

Given equation:

-4x+y = 3. (1)

2x - y = 12. (2)

From (1)

y = 3 + 4x

Substitute y = 3 + 4x into (2)

2x - y = 12 (2)

2x - (3 + 4x) = 12

Or

2x - (4x + 3) = 12

2x - 4x - 3 = 12

- 2x = 12 + 3

- 2x = 15

x = 15/-2

x = -7.5

Substitute x = -7.5 into (1)

-4x+y = 3 (1)

-4(-7.5) + y = 3

30 + y = 3

y = 3 - 30

y = -27

[tex]\sf \bf {\boxed {\mathbb {Given:}}}[/tex]

Total number of rotten mangoes in the bag = 6

Total number of good mangoes in the bag = 24

[tex]\sf \bf {\boxed {\mathbb {To\:find:}}}[/tex]

Fraction of the rotten mangoes to the total mangoes.

[tex]\sf \bf {\boxed {\mathbb {Solution:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{1}{5} }}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation :}}}[/tex]

Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes

➺[tex]\:6 + 24[/tex]

➺[tex]\:30[/tex]

Now,

Fraction = [tex]\frac{Total \: \: number \: \: of \: \: rotten \: \: mangoes}{Total \: \: number \: \: of \: \: mangoes}[/tex]

➺[tex] \: \frac{6}{30} [/tex]

➺[tex] \: \frac{1}{5} [/tex]

Therefore, the fraction of the rotten mangoes to the total mangoes is [tex]\sf\pink{\frac{1}{5}}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

6/24

Step-by-step explanation:

It is 1/4 in simplest form

Answer:

Your answer would be X ≥ -3

Step-by-step explanation:

Answer:

5x2 – 168 = -60x + 12

5x*2 – 156 = -60x

-55x*2=156

55x=-78

x=-1.41818181818

also know as 18/7 or 1 4/7

Answer:

[tex](x+6)^{2}[/tex] = 51

Step-by-step explanation:

5x2 – 168 = -60x + 12

5x2  + 60 x – 180 = 0

[tex]x^{2}[/tex]  + 12 x – 15 = 0

[tex]x^{2}[/tex]  + 12 x   = 15

        + 36      + 36

[tex]x^{2}[/tex]  + 12 x  + 36  =  51

[tex](x+6)^{2}[/tex] = 51

[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]

x + 6 =  [tex]\sqrt{51}[/tex]

x   = -6 ± [tex]\sqrt{51}[/tex]

Answer:

C and G

Step-by-step explanation:

Given

(x - 2)² = - 3x + 6 ← expand left side using FOIL

x² - 4x + 4 = - 3x + 6 ( subtract - 3x + 6 from both sides )

x² - x - 2 = 0 ← in standard form

(x - 2)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 → G

x + 1 = 0 ⇒ x = - 1 → C

Answer:

338 feet

Step-by-step explanation:

350 - 12 = 338

Answer:

2 and 2/6ths

SBSE:

1. multiply the denominators together (in this case, 24)

2. multiply each numerator by the denominators

3. reduce the 5 to four, making 4/24ths into 28/24ths

4. subtract the fractions and whole numbers.

Answer:

Step-by-step explanation:

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

Answer:

subtracting 8 from both sides of the equation

Step-by-step explanation:

You have to get rid of +8 before squaring both sides.

Given:

Principal value = $2300

Rate of interest = 14% compounded continuously.

To find:

The time taken by Brad's investment to triple.

Solution:

The formula for amount after the compound interest (Continuously) is:

[tex]A=Pe^{rt}[/tex]

Where, P is the principal, r is the rate of interest in decimal and t is the time period.

Triple of Brad's investment is

[tex]3\times \$ 2300=\$ 6900[/tex]

Substituting [tex]A=6900,P=2300\ r=0.14[/tex], we get

[tex]6900=2300e^{0.14t}[/tex]

[tex]\dfrac{6900}{2300}=e^{0.14t}[/tex]

[tex]3=e^{0.14t}[/tex]

Taking natural log on both sides, we get

[tex]\ln 3=\ln e^{0.14t}[/tex]

[tex]1.0986=0.14t[/tex]                [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.0986}{0.14}=t[/tex]

[tex]7.84714=t[/tex]

After approximating the value, we get

[tex]t\approx 7.85[/tex]

Therefore, Brad's investment will take 7.85 years to triple.

Answer:

last one

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Your system of equations will be ...

  x + y = 70 . . . . . . . there are 70 total questions

  x + 3y = 100 . . . . . there are 100 total points

__

We can use the first equation to write an expression for x that can be substituted into the second.

  x = 70 -y

  (70 -y) +3y = 100

  70 +2y = 100 . . . . . . collect terms

  2y = 30 . . . . . . . . . . subtract 70

  y = 15 . . . . . . . . . . . divide by 2

  x = 70 -15 = 55

The test has 15 short answer questions and 55 multiple-choice.

Answer:

your answer is 1275

Step-by-step explanation:

ccifufbfjrorwfeejeidiffgfkxxocyegdo

Answer: 12:00 pm or 1200hrs

Step-by-step explanation:

Time = distance/speed

270/120 = 2h 15min

= 2h 15min