A triangular prism and its dimensions are shown in the diagram. What is the lateral surface area of this triangular prism in square centimeters? F 192 cm2 G 128 cm2 H 152 cm2 J 144 cm

Answer:

A

Step-by-step explanation:

Answer:

i think it's 9

Step-by-step explanation:

A=126cm÷by one diagonal 14

=9

Answer:

h = 20 mm

Step-by-step explanation:

V = πr²h

3920π = π(14²)h = π196h

divide both sides of the equation by π196:

20 = h

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

12

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 1 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-5}{-1}[/tex] = 5 , then

[tex]a_{n}[/tex] = - [tex]5^{n-1}[/tex]

13

Using the explicit formula for a geometric sequence

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 48 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{96}{-48}[/tex] = - 2 , then

a₁₀ = - 48 × [tex](-2)^{9}[/tex] = - 48 × - 512 = 24576

Answer: b

Step-by-step explanation:

Answer:

323 legos

Step-by-step explanation:

Answer: 3.9 ft

Step-by-step explanation:

From the question, the distance across the window which is 2.5 ft is the diameter. Therefore, radius will be:

= 2.5 / 2

= 1.25 ft

Then, we calculate the circumference of the circle which will be:

= 2πr

= 2 × 3.14 × 1.25

= 7.85 ft

Nite that it's a semi circle, therefore we divide the perimeter by 2. This will be:

= 7.85/2

= 3.9 feet

Answer:

b

Step-by-step explanation:

Answer:

answer was A ok alright hf

Answer:

A is your correct answer!

Answer:

Law of sines

Step-by-step explanation:

i took the test

The law of sines can be used to calculate the side h. Hence, option B is correct.

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

For triangle FGH, angles F and G are known, as is the length of side h. The sin angle is the ratio of the perpendicular to the hypotenuse we can calculate one side by using the sine angle.

Hence, Hence, option B is correct.

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ2

Answer:

x = 2

Step-by-step explanation:

the radius is 5

both triangles are congruent because of the SAS theorem.

x = 2 because corresponding parts of congruent tringles are congruent.

Answer:

The area of the paralellogram is 24 square units.

Step-by-step explanation:

Geometrically speaking, the area of the parallelogram has an equation equivalent to the area formula for a rectangle, that is:

[tex]A = b\cdot h[/tex] (1)

Where:

[tex]A[/tex] - Area.

[tex]b[/tex] - Base.

[tex]h[/tex] - Height.

The base and height of the parallelogram are, respectively:

Base

[tex]b = 8-2[/tex]

[tex]b = 6[/tex]

Height

[tex]h = 5-1[/tex]

[tex]h = 4[/tex]

Then, the area of the parallelogram is:

[tex]A = (6)\cdot (4)[/tex]

[tex]A = 24[/tex]

The area of the paralellogram is 24 square units.

Answer:

is there any more context?

Step-by-step explanation:

Answer:

53.130°

Step-by-step explanation:

tan(x)=16/12

x is used in replacement of theta symbol

Answer:

300

Step-by-step explanation:

do 15 times 20 and that should make 300.

hope this helps

Hoping it helps...

Have a nice day!

Answer:

35(2n + 1) A is correct

Multiply and you'll get

70n + 35

Step-by-step explanation:

35 is the greatest factor

70n / 35 = 2n

Answer:

35(2n + 1)

Step-by-step explanation:

Answer:

Integer is a whole number; a number that is not a fraction.

Step-by-step explanation:

Answer:

53.75.. I didn't round it either

Step-by-step explanation:

Have nice day/night :)

Answer:

solution - (2,1)

For the graph - just copy my graph

Step-by-step explanation:

The equations are fully simplified already so all we have to do is graph them and find the solution

The solution being where the two lines graphed intersect

As you can see in the graph below the two lines intersect at point (2,1) therefore the solution to the system of equations is (2,1)

Answer:

13×1/4

Step-by-step explanation:

turn into improper fraction

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

Answer:

Step-by-step explanation:

The triangle is right isosceles.

It is right as the side is the diameter of the circle.

It is isosceles as two sides marked as equal.

Acute angles are same and equal to:

Correct option is 45°

Answer:

<M=90°[inscribed angle on diameter is 90°]

<N=<L=[base angle of isosceles triangle]

now

<M+<l+<N=180°[sum of interior angle of traingle]

[2x-5]×2=180-90

4x-10=90

x=100/4=25

x=25

Answer:36

Step-by-step explanation:15+5+16=36

Step-by-step explanation:

write and say i am not understanding

Answer:

Ok ok, trust me this is not a scam nor hack

Step-by-step explanation:

I didn't no idea to explain in words so i edited the photo

Answer: 700 oranges

Step-by-step explanation: mass of box is reduced first.

Mass of oranges is 60 kg -7.5 kg = 52.5 kg

Mass or oranges is divided by mass of one orange 75 g = 0.075 kg.

52.5 kg/0.075 kg= 700

Answer:

86

Step-by-step explanation:

At G and E

Answer:

B) (3,1)

Step-by-step explanation:

y = -2x + 7

y = 3x - 8

3x - 8 = -2x + 7

combine like terms:

5x = 15

divide both sides of the equation by 5:

x = 3

y = 3(3) - 8 = 1

Answer: Renata, [tex]416\ ft^2[/tex]

Step-by-step explanation:

Given

The base of rectangular wood is [tex]b=32\ ft[/tex]

The height of Renata frame is [tex]h_r=18\ ft[/tex]

The height of the ben frame is [tex]h_b=5\ ft[/tex]

The area of the rectangular frame is [tex]A=b\times h[/tex]

The area of Renata frame is [tex]A_r=32\times 18=576\ ft^2[/tex]

The area of the ben frame is [tex]A_b=32\times 5=160\ ft^2[/tex]

Clearly, the area of Renata is more by  [tex]576-160=416\ ft^2[/tex]