500,-100,20,-4 write an equation for the nth term​

length= 15cm

width= 7cm

area of the rectangle.

area of rectangle= length × width

a= l × w

a= 15 × 7

= 105 cm^2

Answer:

105 cm²

Step-by-step explanation:

The formula to find the area of a rectangle is :

Area = length × width

Given that,

length ⇒ 15 cm

width ⇒ 7 cm

Let us solve it now.

Area =  length × width

Area = 15 × 7

Area = 105 cm²

4/7

Step-by-step explanation:

[tex] \hookrightarrow \sf \frac{200}{350} [/tex]

[tex]\hookrightarrow \sf \: \frac{ \sout{200}}{ \sout{350}} = \frac{\sout{100}}{\sout{175}} = \frac{4}{7} [/tex]

Therefore, [tex] \rm \frac{200}{350} [/tex] = [tex] \sf \frac{4}{7} [/tex]

Answer:

cos B = 9/41

tan B = 40/9

sin B = 40/41

Step-by-step explanation:

There is no picture, so I am making a few assumptions.

I am assuming that angle C is the right angle and is opposite 41.

I am also assuming that angle B is formed by the sides that measure 9 and 41. The hypotenuse is 41.

For angle B, the adjacent leg is 9, and the opposite leg is 40.

cos B = adj/hyp = 9/41

tan B = opp/adj = 40/9

sin B = opp/hyp = 40/41

Answer:

0.5km

Step-by-step explanation:

[tex]1km = 1000m \\ x = 50m \\ \\ 50m \times 1km = x \times 1000m \\ x = 0.5km[/tex]

Answer:

Step-by-step explanation:

A=1

B=41

C=3

Answer:

18 3/4 kg of rice

Step-by-step explanation:

Start

Day 1

Day 2

End

Answer:

c = sqroot45

Put a 45 in the box under the square root.

Step-by-step explanation:

Use Pythagorean Theorem. See image.

Also, sqroot45 can be simplified. It 3root5, just in case they ask that next.

Answer:

c=√45

Step-by-step explanation:

I'm assuming this question is before Pythagorean theorem so.

Big square area:

[tex](3 + 6) \times (3 + 6) = 81[/tex]

All four right-angled triangles area:

[tex]4( \frac{1}{2} \times 3 \times 6) = 36[/tex]

Smaller square area:

[tex]81 - 36 = 45[/tex]

Value of c:

[tex] {c}^{2} = 45 \\ c = \sqrt{45} [/tex]

Work Shown:

L = 6 = length

W = 2 = width

P = 2(L+W)

P = 2(6+2)

P = 2(8)

P = 16 feet of fencing is needed

An alternative formula is P = 2L+2W

Answer:

A, C and D are true statements.

Step-by-step explanation:

Megan constructed triangle ABC.

In Megan’s triangle, m∠A is represented by x°.

Therefore, ∠A = x°

For m∠B is 4 times greater than m∠A

Therefore, ∠B = 4x°

For m∠C is 30° less than 5 times m∠A.

Therefore, ∠C = 5x°-30°

ABC is a triangle.

Sum of all angles of a triangle is 180°. Angle sum property of triangle.

m∠A + m∠B + m∠C = 180°

x° + 4x° + 5x°-30° = 180°

x° = 15°

True Statements are:

A) m∠A = x°

C) m∠B = (4x)°

D) m∠C = (5x – 30)°

Answer:

not enough information was provided

Step-by-step explanation:

However, The answer is B

The mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

Weight measurement is the measurement of the heaviness of a object. The units of weight measurement are pounds, grams, kilograms etc.

There is total 1000 grams in one kilogram of weight measurement.

Lynn filled each of three bags with 2 kilograms, 450 grams of sand. There is total 1000 grams in one kilogram of weight measurement. Thus, the kilogram in 450 grams is,

[tex]x=\dfrac{450}{1000}\\x=0.45\rm\; kg[/tex]

Thus, weight in one bag is,

[tex]W=2+0.45\\W=2.45\rm\; kg[/tex]

The weight in two bags is,

[tex]2W=2.45+2.45\\2W=4.9\rm\; kg[/tex]

The weight of 4.9 kg is less than the 5 kilogram..

Thus, the mass of 2 bags, which is filled by Lynn each with 2 kilograms 450 grams of sand, is less than 5 kilograms.

Learn more about the weight measurement here;

https://brainly.com/question/434591

#SPJ1

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

The distribution of the fruits is given as:

The probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is:

P = (Apple + Pineapple)/Total

This gives

P = (12 + 21)/(21 + 12 + 18)

Evaluate

P = 0.65

Hence, the probability that the next chew Daniel removes from the bag will be a flavor other than watermelon is 0.65

Read more about probability at:

https://brainly.com/question/251701

Answer:

B

Step-by-step explanation:

840÷8=105

the answer is 10.3, just search up how to solve percentage word problems

Just remember that 100% = 1.00 !

y = .78x

y = 108.5x

y = .946x

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

[tex]or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\ [/tex]

[tex]or, \: l = 3 {x}^{2 - 1} + 2cm[/tex]

[tex]\boxed{\sf{l = (3x+2)cm}}[/tex]

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

[tex] = \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\ [/tex]

[tex] = 4xy[/tex]

The product of 3x and 4y = 6xy

= 6x - 4xy

[tex] = \boxed{\sf {2xy}}[/tex]

hope it helped !!!!

Answer:

13/6 is the improper fraction

Step-by-step explanation:

Step 1:  Convert the whole number into a fraction

2 is a whole number which replicates two 6/6's which adds up to 12/6

Step 2:  Combine the two fractions

12/6 + 1/6

13/6

Answer:  13/6 is the improper fraction

Answer:

13/6

Step-by-step explanation:

6/6 = 1

12/6 = 2

12/6 + 1/6 =13/6

Answer:

Since x = 3, y = 1 is the solution of

x – 4y + p = 0 …………….. (i)

2x + y – q – 2 = 0 …………… (ii)

So, x = 3, y = 1 must satisfy both (i) and (ii).

⇒ 3 – 4(1) + p = 0 ⇒ p = 1.

and 2(3) + (1) – q – 2 = 0 ⇒ q = 5

Since, 1 = – 4 + 5

∴ p = 1 = – 4 + 5

= q – 4

⇒ p = q – 4

Answer:

1/6 or 0.167

Step-by-step explanation:

First understand that 4 x 1/4 is equal to 1, then replace it in the equation

1 - 5/6

Turn the whole number into a fraction that can be computed

6/6 - 5/6

Solve the equation

6/6 - 5/6 = 1/6

If you need it as a decimal enter it in a calculator and get

0.16666666667

Since the 6 is repeating you can just round that to

0.167

Answer:

This is the answer I understood and got.

B. Yes. There is a constant of proportionality of $4.50.

Step-by-step explanation:

When you divided 9/2, you get 4.5

When you divide 22.5/5, you get 4.5

When you divide 31.5/7, you get 4.5

* REMEMBER IT'S ASKING DO THE NUMER OF GAMES AND PRICE FOR A PROPORTIONAL RELATIONSHIP *

So, y= 4.5x

Answer:

xy + y² + 3y + x + 2

Step-by-step explanation:

(x + y + 2)(y + 1)

xy + y² + 2y + x + y + 2

xy + y² + 3y + x + 2

No more like terms, so this is final answer

Answer:

120 are left

Step-by-step explanation:

to get how many seats that are left you will multiply grand total of all the seats times percent filled over 100. see below

300 × 60/100

=3 × 60

=120 seats that are left

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Answer:

11

Step-by-step explanation:

h = 15 yards

Volume = 475.17 cubic yards

Diameter = 5.5*2 = 11.0 = 11 yards

Find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a\text{.}[/tex]

The derivative of a function can be determined using different rules and formulations. One of the important rules here is the power rule. Power rule is used to differentiate functions in the form of [tex]f(x) = x^n[/tex].

[tex]\; \dfrac{d}{dx} (x^n) = nx^{n-1}[/tex]

We are supposed to find the slope of the tangent to the curve [tex]y=3+4 x^{2}-2 x^{3}[/tex] at the point where [tex]x=a[/tex].

[tex]\implies \dfrac{d}{dx}(3+4x^2-2x^3)[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x^{2-1})-2(3x^{3-1})[/tex]

[tex]\implies \dfrac{d}{dx}(0+4(2x)-2(3x^2)[/tex]

[tex]\implies \dfrac{d}{dx}(8x-6x^2[/tex]

Now plugging [tex]x=a[/tex] in the above equation, we obtain the following results:

[tex]\implies \boxed{8a -6a^2}[/tex]

Hence, this is our required solution for this question.

Answer:

Polynomials of odd degree have an even number of turning points, with a minimum of 0 and a maximum of n−1 . Polynomials of even degree have an odd number of turning points, with a minimum of 1 and a maximum of n−1 .

Step-by-step explanation:

Answer:

SA = 16 units^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 2

H = 3

SA = (B × B) + 4((1/2)×(B × H))

SA = (2×2) + 4((1/2)×(2×3))

SA = 16 units^2

Step-by-step explanation:

2 = 15

because it's Vertically opposite angle(VOA)

1 = 180 -15 because it is straight line

1 = 165

1 = 3

3 = 165

because it's Vertically opposite angle(VOA)