Lesson 13: Surface Area of Prisms and Cylinders Math 7 B Unit 2: Measurement

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:

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

Answer:

40 Percent

Step-by-step explanation:

I just used a calculator.

Answer:

[tex]11 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]11 \sqrt{3} [/tex]

hope it helps you

Answer:

11[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{27}[/tex]

[tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

Then

5[tex]\sqrt{3}[/tex] + 2(3[tex]\sqrt{3}[/tex] )

= 5[tex]\sqrt{3}[/tex] + 6[tex]\sqrt{3}[/tex]

= 11[tex]\sqrt{3}[/tex]

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:

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

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:

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:

D. 4.5

Step-by-step explanation:

Answer:

(4,5)

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 _______________________________

Answer:

a

Step-by-step explanation:

2 x 4 is 8

2.5 x 4 is 10

3 x 4 is 12

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:

A

Step-by-step explanation:

x+y≥14

xy<40

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:

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:

$400

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

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

Answer:

The perimeter of this figure can be found by counting the number of 0.5 lines it takes to go one full circle around the figure.

In this case, there are 42 of these 0.5 lines.

So, if there  are 42 of these 0.5 lines, the  perimeter of the  figure would just be: 42 times 0.5, which is equal to 21 cm.

Let me know  if this helps!

Answer:

its aops. 21

Step-by-step explanation:

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:

x= +2, -2

hope it helps you

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:

u are fricked my dude

Step-by-step explanation:

Answer:

3x+33+5x+13=70

8x+33+13=70

8x+46=70

8x=24

x=3

Let me know if this helps!

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:

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Answer:

They each get 1 3/4 pounds of cashews

Step-by-step explanation:

7 ÷ 4 = 1.75

1.75 ( 1 3/4)