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Answer:

18 cm

Step-by-step explanation:

From the question above,

Area of a rhombus

A = d₁d₂/2.................. Equation 1

Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal

make d₂ the subject of the equation

d₂ = 2A/d₁...............  equation 2

Given: A = 72 cm², d₁ = 8 cm

Substitute these values into equation 2

d₂ = (2×72)/8

d₂ = 144/8

d₂ = 18 cm.

Answer:

u are fricked my dude

Step-by-step explanation:

Step-by-step explanation:

it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2

Step-by-step explanation:

Take an equilateral triangle of side.

Bisec it through a vertex and the midpoint of the opposite side.

You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So

sin (30°) = 1/2/1= 1/2.

Answer: The right angled triangle you describe has angels of 45 degrees, not 30 degrees.

What you proved is sin 45 = 1\2 , which is correct.

Answer:

40 Percent

Step-by-step explanation:

I just used a calculator.

Answer:

D. 4.5

Step-by-step explanation:

Answer:

(4,5)

Step-by-step explanation:

Answer:

53.44 cubic meters

Step-by-step explanation:

A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)

Volume of a cylinder = π × r² × h

r = 0.9 meters

h = 2.1 meters

= π × (0.9m)² × 2.1m

= 53.44 cubic meters

Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters

a _______________________________

Answer:

a

Step-by-step explanation:

2 x 4 is 8

2.5 x 4 is 10

3 x 4 is 12

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!

Answer:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi

Answer:

175.93

Step-by-step explanation:

First Problem:

Equation -- 180 = x + 168

x = 12 Degrees

Second Problem:

Equation -- 180 = x+108

x = 72 Degrees

Third Problem:

Equation -- 180 = x +82

x = 98

A product is an answer to a multiplication problem and sum is the answer to an addition problem.

25 is the product, and -10 is the sum.

Factors of 25 is 5 and 5.

-5+-5=10.

But two negatives multiplied equals a positive.

-5 x -5=25

-5 + -5 = 10

---

hope it helps

Answer:

The two numbers are -5 and -5

Step-by-step explanation:

Let x and y be the two numbers respectively

xy = 25  --(1)

x + y = -10 --(2)

From (1), x = 25/y [You get x in terms of y]

Sub x = 25/y into (2)

25/y + y = -10  [Equation (2) is x + y = -10, but you got x = 25/y]

[Multiple the whole equation by y]

25 + y^2 = -10y

y^2 + 10y + 25 = 0 [This is a quadratic equation if you don't know]

y = -5

Sub y = -5 into (1)

x = -5

Answer:

There are 17.5 cups of lemonade.

Each classmate receives 5/6 of a cup.

So the number of classmates = Number of cups ÷  proportion of a cup each student receives

Number of classmates = 17.5 ÷ 5/6 = 21 classmates

There are 21 classmates.

Step-by-step explanation:

Answer:

$400

..................

Answer:

They each get 1 3/4 pounds of cashews

Step-by-step explanation:

7 ÷ 4 = 1.75

1.75 ( 1 3/4)

Answer:

The answer is ( -1 , 3 ) in point form and in eqaution form it is x = -1 , y = 3

Answer:

Speed = 1.0625 km / sec

Step-by-step explanation:

Distance = 34 kilometers

Time = 32 seconds

Speed = ?

The relationship between these quantities is given as;

Speed =  Distance / Time

Inserting the values;

Speed = 34 km / 32 sec

Speed = 1.0625 km / sec

Answer:

x= +2, -2

hope it helps you

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

Answer:

Step-by-step explanation:

The foci are horizontally aligned.

horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

center (h,k)

vertices (h±a,k)

length of minor axis = 2b

foci (h±c,k), c² = a²-b²

Apply your data and solve for h, k, a, and b.

foci (±3√19, 6)

h = 0

k = 6

Length of minor axis = 2b = 10

b = 5

foci (h±3√19, 6)

c = 3√19

c³ = a² - b²

171 = a² - 25

a²  = 196

x²/196 + (y-6)²/25 = 1

Answer:Classes 0-10 10-20 20-30 30-40 40-50 50-60 Total Frequency is= 5 x 6 y 6

Answer:(c)

Step-by-step explanation:

Given

Inequality is [tex]10x+18\leq 238[/tex]

Subtract [tex]18[/tex] from both side of the inequality

[tex]\Rightarrow 10x+18-18\leq 238-18\\\Rightarrow 10x\leq 220[/tex]

divide both sides by 10

[tex]\Rightarrow \frac{10x}{10}\leq \frac{220}{10}\\\Rightarrow x\leq 22[/tex]

Therefore, maximum value of x can be 22 i.e. at most 22 days

Answer:

2( 2x -3)(x- 5)

Step-by-step explanation:

step 1 . factor 2 out ( because when you multiply the 2 again with the equation it will give you the main equation)

2 ( 2x^2 - 13x + 15 )

step 2 . factor now by regrouping

2( 2x- 3 )( x - 5)

hope it helps

Answer: 21.21 cm

Step-by-step explanation:

Given

length of diagonal on the square is 30 cm

Suppose a is the side length of the square

and length of diagonal is given as [tex]a\sqrt{2}\ units[/tex]

So,

[tex]\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm[/tex]

Thus, the side length of the square is 21.21 cm

Answer:

3x+33+5x+13=70

8x+33+13=70

8x+46=70

8x=24

x=3

Let me know if this helps!

Answer:

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