YEAR 9 MATHEMATUCS ALGEBRA

Answer:

I think that is false, tell me if im wrong if you can

Answer:

Step-by-step explanation:

False I think.

Answer:

Perimeter of ΔDBC = 48 units

Step-by-step explanation:

It's given in he question,

ΔABD ~ ΔDBC

Therefore, by the definition of similar triangles,

Corresponding sides of both the triangle will be proportional.

[tex]\frac{AB}{DB}= \frac{BD}{BC}= \frac{AD}{DC}[/tex]

[tex]\frac{9}{12}= \frac{12}{16}= \frac{AD}{DC}[/tex]

[tex]\frac{3}{4}=\frac{AD}{DC}[/tex]

AD = [tex]\frac{3}{4}DC[/tex] ----------(1)

Since, perimeter of ΔABD = 36,

AB + BD + AD = 36

9 + 12 + AD = 36

AD = 36 - 21

AD = 15

From equation (1),

15 = [tex]\frac{3}{4}(DC)[/tex]

DC = 20

Perimeter of ΔDBC = DB + BC + DC

                                = 12 + 16 + 20

                                = 48

Therefore, perimeter of ΔDBC = 48 units is the answer.

Answer:

5xy

Step-by-step explanation:

I'm going out on a limb and assuming exponents.

[tex]5xy^{2} \\25x^{2}y \\5x^{2} y^{2}[/tex]

We can note that 5 is a common factor for the coefficients. All the terms share at least one x. All the terms share all least one y. So the GCF of these monomials is 5xy.

Answer:

i think its the 3rd option

Answer:its the 2nd one

Step-by-step explanation: i remeber because i took this quiz

Answer:

1000.4m

Step-by-step explanation:

Objects usually expand when the temperature is warmer

Each degree celsius higher, the bridge expands by .10m

If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m

1000m+0.4m=1000.4m

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Answer:

About 1,130.4 Cubic Feet

(My previous answer was a mistake. It has now been corrected)

Step-by-step explanation:

The Volume of a cylinder = Height * Pi * Radius^2

The radius is half the diameter, so 12 ÷ 2 = 6

Pi rounded to the hundredth place is 3.14.

Volume = 10 * 3.14 * 6^2 = 1,130.4

Therefore the Volume is about 1,130.4 cubic feet.

Answer:

Exact Volume = 360pi  cubic feet

Approximate Volume = 1130.4  cubic feet

The approximate volume is found when you use pi = 3.14; use more decimal digits of pi to get a more accurate value.

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Explanation:

The volume of a cylinder is found by the formula

V = pi*r^2*h

where,

So,

V = pi*r^2*h

V = pi*6^2*10

V = pi*36*10

V = pi*360

V = 360pi  ........... exact volume in terms of pi

V = 360*3.14

V = 1130.4 ......... approximate volume if you use pi = 3.14

The units of the volume are in "cubic feet" which we can abbreviate to "ft^3". Think of a 1 ft by 1 ft by 1 ft cube. The volume would be 1*1*1 = 1 cubic foot. So basically having a volume of roughly 1130 cubic feet means we need this many cubic blocks to form the cylinder (some of the blocks will be cut up to be able to fit).

Answer: 1:13 or for every 10 games they will lose one game

Step-by-step explanation:

Answer:

Not sure if I am right but this is what I did. I have attached a picture of me solving the equation. Hope this helps, thank you !!

Answer:

(x+7)(x-7)

Mark my answer as Brainlist.

Answer:

-22

Step-by-step explanation:

-8-(12)+(-2)

-8-12-2

-20-2

-22

HOPE THIS HELPS!

Answer:

Side b = 10.2 m (1 d.p.)

Step-by-step explanation:

11² = 121

15² = 225

225 - 121 = 104

√104 = 10.2 (1 d.p.)  

Side b = 10.2m

(Full answer = 10.198039)

11² + 10.2² = 15²

200 x 0.87 = 174

She answered 174 questions correctly.

Answer:

Chloe answered 174 problems correctly.

Explanation:

To find percentage, you would multiply the percentages decimal to the total.

0.87x200=174

Answer:

393 + 39√6

Step-by-step explanation:

√639 + (393)

Simplify

393 + 39√6 (Answer)

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Answer:

The first option.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

Answer:

The difference between the principal and the compound interest in three years is Rs 17,994

Step-by-step explanation:

The compound interest is given according to the following formula;

[tex]C.I. = P \cdot \left ( 1 + \dfrac{r}{n} \right ) ^{n\cdot t} - P[/tex]

The given amount of the compound after 2 years = Rs 5,460

The given amount of the compound after 4 years = Rs 12,066.60

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P[/tex]...(1)

[tex]12,066.60 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{4} - P[/tex] ...(2)

Dividing equation (2) by (1), we have;

[tex]\dfrac{12,066.60}{5,460} = \dfrac{P \cdot \left ( \left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1\right )}{P \cdot \left (\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 \right ) } =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 }[/tex]

[tex]Let \ \left ( 1 + \dfrac{r}{100} \right ) ^{2} = x, we \ get;[/tex]

[tex]\dfrac{12,066.60}{5,460} =\dfrac{\left ( 1 + \dfrac{r}{100} \right ) ^{4} - 1}{\left ( 1 + \dfrac{r}{100} \right ) ^{2} -1 } = \dfrac{x^2 - 1}{x - 1}[/tex]

∴ 12,066.60 × (x - 1) = 5,460 × (x² - 1) = 5,460 × (x - 1) ×(x + 1)

∴ 12,066.60 × (x - 1)/(x - 1) = 5,460 × (x + 1)

12,066.60/5,460 = x + 1

x =  12,066.60/5,460 - 1 = 1.21 = 121/100

x = 121/100

[tex]\left ( 1 + \dfrac{r}{100} \right ) ^{2} = x = \dfrac{121}{100}[/tex]

[tex]1 + \dfrac{r}{100} =\sqrt{ \dfrac{121}{100}} = \dfrac{11}{10}[/tex]

We get

[tex]\dfrac{12,066.60}{5,460} =\dfrac{221}{100}[/tex]

[tex]\therefore \dfrac{12,066.60}{5,460} =\dfrac{221}{100} = \left ( 1 + \dfrac{r}{100} \right ) ^{2}[/tex]

[tex]1 + \dfrac{r}{100} = \sqrt{ \dfrac{221}{100} } = \dfrac{\sqrt{221} }{10}[/tex]

[tex]\dfrac{r}{100} = \dfrac{\sqrt{221} }{10} - 1[/tex]

[tex]\dfrac{r}{100} = \dfrac{11}{10} - 1 = \dfrac{1}{10} = 0.1[/tex]

r = 100 × 0.1 = 10%

r = 10%

Therefore, we have;

[tex]5,460 = P \cdot \left ( 1 + \dfrac{r}{100} \right ) ^{2} - P = P \times \left ( 1 + 0.1\right ) ^{2} - P[/tex]

[tex]5,460 = P \times \left ( 1 + 0.1\right ) ^{2} - P = P \times \left (\left ( 1 + 0.1\right ) ^{2} - 1\right) = P \times \dfrac{21}{100}[/tex]

[tex]P = \dfrac{100}{21} \times 5,460 = 26,000[/tex]

The principal = Rs. 26,000

The compound interest in 3 years is therefore;

[tex]CI_3 = 26,000 \times \left ( 1 + \dfrac{10}{100} \right ) ^{3} - 26,000= 8606[/tex]

The difference, 'd', between the principal and the compound interest in three years, is given as follows;

d = P - CI₃

d = 26,600 - 8606 = 17994

The difference between the principal and the compound interest in three years, d = Rs 17,994.

Answer:

b = T / $3

T = $3b

Step-by-step explanation:

Given that:

Cost per box of cereal = $3

Total amount from sale of cereal = T

Number of boxes sold = b

Number of boxes sold = (Total amount from sale of cereal / cost per box)

Number of boxes (b) = T / $3

T = $3b

Answer:

-4.5

Step-by-step explanation:

M would be -4.5 because if you multiply -1.5 by 3 you get -4.5. Therefore the equation would be -4.5/3= -1.5 .

Hope this helps :))

The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.

Both tanks hold the same amount of water when

1088 - 5t = 1360 - 9t

Solve for t :

4t = 272

t = 68

So the tanks will hold the same amount of water after 68 weeks.

Answer:

41.67 dollars

Step-by-step explanation:

because 250/6= 41.6666666667

that rounded is 41.67 dollars

Answer:

49.12?

Step-by-step explanation:

half circle= 4 squared *3.14/2=25.12

triangle=pythagorean theorem to find h=8. 8*6/2= 24

25.12+24=49.12

Answer:

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Step-by-step explanation:

Let :

Gummyball = a

Caramel = b

a + b = 25 - - - (1)

5a + 8b = 140 - - - (2)

From (1)

a = 25 - b

Put into (2)

5(25 - b) + 8b = 140

125 - 5b + 8b = 140

125 + 3b = 140

3b = 15

b = 5

From a = 25 - b

a = 25 - 5

a = 20

Hence,

20 pounds of Gummyballs and 5 pounds of caramel was ordered

Answer:

a=60

Step-by-step explanation:

all you do is add 90+135+75 which is 300

then subtract 300 from 360, which is 60

360-(90+135+75)=60

Step-by-step explanation:

i think it is sponge Bob square pants

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 30² = 50²

x² + 900 = 2500 ( subtract 900 from both sides )

x² = 1600 ( take the square root of both sides )

x = [tex]\sqrt{1600}[/tex] = 40 → B

Answer: DUDE U GOT SO MANY "LIKE" IN ONE SENTENCE

Step-by-step explanation:

Answer:

like So like um.... like hit like the like heart like button like?

Step-by-step explanation:

i d k :/

Answer:

+735 feets

Step-by-step explanation:

Points or position above sea level are denoted with positive elevation values while points or positions below sea level are denoted by negative values. The sea level position itself could be viewed as a midpoint such as the position of 0 on a number line ; where distances to the right are positive and distances to the left are negative.

Hence, a point which is said to be 735 feets above sea level would have an equivalent numeric representation of +735 feets