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3 years ago

Ratios, decimals, simplest form

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

101 to 263, 101 / 263,

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Find the volume of the given prism.<br><br>Ans:60cm^3

taurus [48]

Answer:

60 cm³

volume of triangular prism : area of base * Length

Given:

side of triangle : 4 cm

side of triangle : 3 cm

angle between 4 cm and 3 cm : 90°

Length : 10 cm

Find area of base:

$\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)$

$\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)$

$\rightarrow \sf 6 \ cm^2$

Volume :

A * L

6 * 10

60 cm³

6 0

2 years ago

Read 2 more answers

Question 2 of 10

seraphim [82]

Answer:

N(c) = (C - 15)/20.

Step-by-step explanation:

C(n) = 20n + 15

20n = C- 15

N(c) = (C - 15)/20.

7 0

3 years ago

What is the area, in square centimeters of the trapezoid below?

Katen [24]

Answer:

68.8cm^2

Step-by-step explanation:

A trapezoid=h/2(b1+b2)

A trapezoid=6.4/2(12.9+8.6)

A trapezoid=3.2(21.5)

A trapezoid=68.8cm^2

8 0

3 years ago

For each of the equations below, solve for y in terms of x. !<br> a. 2x – 3y = 12

ira [324]

Answer:

$\large\boxed{y=\dfrac{2}{3}x-4}$

Step-by-step explanation:

$2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x$

7 0

3 years ago

What is the 12th term in the sequence of a(n)=-5+6(n-1)

natka813 [3]

Answer:

Step-by-step explanation:

The 12th term is gotten by replacing ń in the equation with 12. Hence,

a(12)= - 5+6(12-1)

Solving the bracket first by BODMAS,

a12= - 5+6(11)

Opening the bracket,

a12=-5+66

a12=66-5

a12=61

8 0

4 years ago