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Nikitich [7]
3 years ago
7

10.

Mathematics
1 answer:
Reika [66]3 years ago
5 0

Answer:

Length of arc = 5 cm (Approx)

Step-by-step explanation:

Given:

Radius of circle = 20 cm

Angle = 1/4 radian

Find:

Length of arc

Computation:

Angle in degree = 1/4 radian × 180°π

Angle in degree = 1/4 × 180°  / 22/7

Angle in degree = 14.31° Approx

Length of arc = (Ф / 360)2πr

Length of arc = (14.31 /360)2(22/7)(20)

Length of arc = 4.997 cm

Length of arc = 5 cm (Approx)

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Kaitlyn creates an architectural blueprint of a rectangular dining room.The area of the actual dining room is 900 times as large
8090 [49]
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.

√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30

Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches

Answer = 120 inches

6 0
3 years ago
Solve for m.<br> m/9 + 2/3 =7/3
Nuetrik [128]

Answer:

m= 15

Step-by-step explanation:

\frac{m}{9}  +  \frac{2}{3}  =  \frac{7}{3}

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

\frac{m}{9}  =  \frac{7}{3}  -  \frac{2}{3}

Simplify:

\frac{m}{9}  =  \frac{5}{3}

Multiply both sides by 9:

m =  \frac{5}{3}   \times 9

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

8 0
2 years ago
How many different 4-digit numbers can be formed using the digits 2, 4, 5, 6, and 7 such that no digits repeat and the number is
quester [9]
If the last 2 digits of a number is divisble by 4, then the number is divisble by 4
see what combos are with ending with 2 digits divisible by 4
24
64
52
72



see their combos for the first  2 numbers
24 three other numbers to pick from so 3*2*1=6
64 three other numbers to pick from so 3*2*1=6
52 three other numbers to pick from so 3*2*1=6
72 three other numbers to pick from so 3*2*1=6

6*4=24

answer is 24 ways





7 0
3 years ago
3x+3=2x+1 what is the value of x
allsm [11]

Answer:

Answer: 3x + 3 = 2x + 1

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3

Answer: 3x + 3 = 2x + 1 <=>3x - 2x = 1 - 3 <=> x = -2

7 0
3 years ago
Find the slope of the line shown on the graph to the right
katrin2010 [14]

Answer:

it is 5/5, or if that doesn't work its 1 just in case you need to simplify

Step-by-step explanation:

from the first point, count how many squares go up, the count how many squares to the right, so up 5 over 5

3 0
2 years ago
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