5/9 + n = 2/3

What does n equal?

A. 1/3

B: 1/9

C: 2/9

D: 4/9

Answer:

A. 272 cm^2

Step-by-step explanation:

The area of the rectangle is 17cm * 7cm = 119 cm^2

The area of the right triangle is (25-7) * 17cm * 1/2 = 153cm^2

Answer: 119+153 = 272 cm^2

Answer:

14cm + 3cm =17cm

Step-by-step explanation:

now find the area

Answer:

Solving for x (rearranging) you get:

(x^3+x+(x^2+1)^1/2)/x^2+1=y

Step-by-step explanation:

Solve for x by simplifying both sides of the equation and solving for y by isolating y

Answer:

Mr Mohapi is selling cheaper chairs

Step-by-step explanation:

Find the cost per chair from both prices by dividing the total price by the number of chairs:

22500/500

= 45

9600/200

= 48

So, Mr Mohapi is selling at a price of $45 per chair and Mr Shuma is selling at a price of $48 per chair.

Since 45 is smaller than 48, Mr Mohapi's chairs are a better deal.

Mr Mohapi is selling cheaper chairs.

Answer:

f(x)=x^2+3

[tex]f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1[/tex]

Step-by-step explanation:

according to the graph,

the domain is : -2 ≤ x < 0 or 0 < x ≤ 5

=> [-2, 0) U (0, 5]

the range is : -2< y ≤ 0 or 2≤ y ≤ 4

=> (-2, 0] U [2, 4]

the answer is option 1

The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of the function is shown in figure.

Now, According to the graph, We get;

The domain is;

-2 ≤ x < 0

Or, 0 < x ≤ 5

Domain = [-2, 0) U (0, 5]

And, the range is;

-2< y ≤ 0

Or , 2≤ y ≤ 4

Range = (-2, 0] U [2, 4]

Thus, The domain and range of the function are,

Domain = [-2, 0) U (0, 5]

Range = (-2, 0] U [2, 4]

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

Answer:

11

Step-by-step explanation:

3600 = 100x+2500

1100 = 100x

x = 11

Answer:

base = 13 in

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 52 and h = 8 , then

[tex]\frac{1}{2}[/tex] b × 8 = 52

4b = 52 ( divide both sides by 4 )

b = 13

Answer:

21cm2

Step-by-step explanation:

Area (A = BH)

B = 7cm

H = 3cm

Therefore we multiply Base(B) with height (H) to get the area.

Hence;

Area = (7 × 3) cm2

= 21cm2

Answer:

- 5

Step-by-step explanation:

Solve for x

4-2(×+7)=3(×+5)

We open the bracket :

4 - 2x - 14 = 3x + 15

Collect like terms

-2x - 3x = 15 + 14 - 4

-5x = 25

Divide both sides by - 5

-5x/-5 = 25 / - 5

x = - 5

Answer:

24.8

Step-by-step explanation:

sin75 = 24/x

x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)

Answer:

b

Step-by-step explanation:

i had it

Step-by-step explanation:

Because it is a 45-45-90 triangle (we know this because two legs are congruent) x witll be [tex]\sqrt{10} *\sqrt{2}[/tex]

Answer:

96m³

Step-by-step explanation:

Base area = 8×6/2 = 24 m²

Height = 12 m

Volume of a pyramid = 1/3 × Base area × Height

= 1/3 × 24 × 12

= 288/3

= 96 m³

Answered by GAUTHMATH

Answer:

π - irrational

0.04053.. - irrational

0.76 - rational

3.565565565 - irrational

-17 - rational

3.275 - rational

Step-by-step explanation:

rational = can express as fraction

irrational = cannot

Answer:

1.94 mm

Step-by-step explanation:

V = pi(r^2)h

V/pi(h) = r^2

r = sqrt(V/pi(h))

r = sqrt(200/pi(17))

r = 1.94 mm

Answer:

Step-by-step explanation:

This Makes no sense but this is 4kg and 8g converted to Kg :

4kg - 8g = 4.008 kg

Answer:

Weight of the stone is 100 N

Step-by-step explanation:

[tex]{ \boxed{ \bf{weight = mass \times acceleration}}} \\ { \sf{weight = 10 \times 10}} \\ { \sf{weight = 100 \: newtons}}[/tex]

Answer:

m-9=42

Step-by-step explanation:

An amount subtracted by $9 is $42.

(an amount is unknown, so it is represented with variable, m)

m-9=42

Answer:

x=2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 30 = x/4

4 sin 30 =x

4 ( 1/2) =x

2 =x

Answer:

30.7

Step-by-step explanation:

Recall: SOH CAH TOA

We are to solve for the missing side

First, label the sides:

Reference angle (θ) = 61°

x = Opposite (this is opposite to the reference angle)

17 = Adjacent

Hypotenuse = side opposite to right angle

Apply TOA, which is:

Tan θ = Opp/Adj

Plug in the values

Tan 61° = x/17

17*Tan 61° = x

30.6688118 = x

x ≈ 30.7 (approximated to nearest tenth)

Answer:

y - 5 = -1/6 (x - 4)

Step-by-step explanation:

y = 6x - 1          y = -1/6x + b

y - 5 = -1/6 (x - 4)

Answer:

The age of E is 40

Step-by-step explanation:

When E didn't join them, the average age was 30,that is six years ago. But present making 36.

But when E joined, the average age is now 40.

Answer:

E is 56 years old

Step-by-step explanation:

I assume E joined them now.

(A - 6 + B - 6 + C - 6 + D - 6)/4 = 30

(A + B + C + D + E)/5 = 40

(A + B + C + D - 24)/4 = 30

A + B + C + D - 24 = 120

A + B + C + D = 144

(A + B + C + D + E)/5 = 40

A + B + C + D + E = 200

144 + E = 200

E = 56

Answer:

1/9

Step-by-step explanation:

The vertex form is

y =a(x-h)^2 +k where (h,k) is the vertex

The vertex is (-2,-3)

y =a(x--2)^2 +-3

y =a(x+2)^2 -3

Substitute the point into the equation

-2 = a(-5+2)^2 -3

-2=a(-3)^2-3

Add 3 to each side

-2+3 = a(9)

1 = 9a

1/9 =a

y =1/9(x+2)^2 -3

The coefficient of the x^2 is 1/9

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k ) = (- 2, - 3) , then

y = a(x + 2)² - 3

To find a substitute (- 5, - 2 ) into the equation

- 2 = a(- 5 + 3)² - 3 ( add 3 to both sides )

1 = a(- 3)² = 9a ( divide both sides by 9 )

[tex]\frac{1}{9}[/tex] = a

y = [tex]\frac{1}{9}[/tex] (x + 2)² - 3

The coefficient of the x² term is therefore [tex]\frac{1}{9}[/tex]

Answer:

12/5

Step-by-step explanation:

Tan Z

= opposite/adjacent

= 24/10

= 12/5

Answered by GAUTHMATH

Answer:

just add a small amount and and square the new number

between 2.82 and 2.83 seems a bit closer

Step-by-step explanation:

x      x^2

2.8         7.84

2.81         7.8961

2.82 7.9524

2.83 8.0089

2.84 8.0656

2.85 8.1225

2.86 8.1796

2.87         8.2369

Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{28a}[/tex] = 16[tex]\sqrt{7}[/tex] ( square both sides )

28a = (16[tex]\sqrt{7}[/tex] )² = 1792 ( divide both sides by 28 )

a = 64

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a

Answer:

Step-by-step explanation:

Scale factor is 2. 6/3=2, 8/4=2. So it’s 1/2