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Nataly [62]
3 years ago
5

Write the number below as a fraction in its simplest form 0.673 the 7 and 3 are recurring

Mathematics
1 answer:
wlad13 [49]3 years ago
7 0
Let x=0.6737373...(1)
10x=6.737373...(2)
1000 x=673.737373...(3)
(3)-(2) gives 
990x=667
x=667/990
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Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked
ryzh [129]

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

AB represents the length of Mr. Ray, ED represents the light post and the mirror was placed at point C.

Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

\frac{AB}{DE}=\frac{BC}{CD}

\frac{6}{h}=\frac{9}{32}

h = \frac{6\times 32}{9}

h = 21.33 feet

h ≈ 21.3 feet

Therefore, height of the light post is 21.3 feet.

Option (2) is the answer.

7 0
3 years ago
Ralph is painting the barn below, including the sides and roof.  He wants to know how much paint to purchase. 
grandymaker [24]
PART A

The barn is constructed by the following 2D shapes

Two triangles of height = 4' and base = 20'
Area = 2 × (0.5×4×20) = 80

Two rectangles of length = 20' and width = 15'
Area = 2 × 20 × 15 = 600

Two rectangles of length = 45' and width = 15'
Area = 2 × 45' × 15' = 1350

One base of length = 45' and width = 15'
Area = 45 × 15 = 675

Two rectangles on each on one side of the roof. We have the length = 45'  but not the width. We can work out the width by using Pythagoras theorem

w² = 4² + 10²
w² = 16 + 100
w² = 116
w = √116 = 10.77

Area of the two rectangles on the roof part is = 2 ×10.77 × 45 = 969.33

Total area to paint = 969.33+675+1350+600+80 = 3674.33 ≈ 3700 (to the nearest hundreth)


PART B

Numbers of paint cans needed = 3700 ÷ 57 = 64.9 ≈ 65 cans

PART C

Total cost of paint = 65 × 23.50 = $1527.50

PART D

The barn is constructed by a cuboid and a rectangular prism

V of cuboid = length × width × height
V of cuboid = 20 × 45 × 15
V of cuboid = 13500

V of triangular prism = Area of cross section × depth
V = [0.5×4×20] × 45
V = 1800

Total volume = 1800 + 13500 = 15300


7 0
3 years ago
Which one of the following statements is true?
kicyunya [14]
The first derivitive is the slope
a positive 1st deriviive is positive slope or increasing
a negaitve 1st derivitive is negative slope or decreasing

the 2nd derivitive tells about the concavity
a negative second derivitive means it is concave down at that point
a positive 2nd derivitive means it is concave up at that point

so

first one is false
2nd is true
3rd is false because it could possibly be a minimum as well

answer is 2nd one
3 0
3 years ago
Please answerrree my quess​
KengaRu [80]
Answer: 2 197/1000


Explanation:

(1 3/10)^3
= (13/10)^3
= 13^3/10^3
= 2197/1000
= 2 197/1000
3 0
3 years ago
Find x for <br> 5x+5+65+65=
Phoenix [80]

5x+5+65+65=

Answer:

x=-27

Step-by-step explanation:

We want to find x right, so everything that does not have x you can move to the other side. 5x=-5-65-65. So that should be your equation so far. Now we know that when there are two negatives it is a negative and you add so -5-65=-70-65=-135. So your equation now should be: 5x=-135. Now we can divide -135 with 5 which gives us... -27! There’s your answer. Hope this was correct!

4 0
3 years ago
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