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snow_tiger [21]
2 years ago
12

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches. The Minimum allowable l

ength of the rod is Answer The Maximum allowable length of the rod is Answer
Mathematics
1 answer:
zmey [24]2 years ago
6 0

Answer:

Minimum - 8.1 inches

Maximum - 8.35 inches

Step-by-step explanation:

The specifications for manufacturing a steel rod stipulate that the length must be 8.225 ± 0.125 inches.

This means that the minimum length must not be 0.125 inches less than 8.225 inches and the maximum length must not be 0.125 inches greater than 8.225 inches.

The minimum length is therefore:

8.225 - 0.125 = 8.1 inches

The maximum length is therefore:

8.225 + 0.125 = 8.35 inches

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stephen buys x pencils and y notebook for his students each pencil costs $0.45 and each notebook costs $1.25 he buys a total of
Natalka [10]

x + y = 210 \\ 1.25x + 0.45y = 142.50

Answer is C.

Hope this helps. - M
7 0
2 years ago
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The price of a ceramic bead necklace (Y) is directly proportional to the number of beads (x) on the necklace. Using the graph, w
Annette [7]

Answer: C) (1,0.80) represents the unit rate. E) (25,20) represents the price of a necklace with 25 beads

Step-by-step explanation:

(1, 0.80) represents the unit rate.

(25, 20) represents the price of a necklace with 25 beads.

\frac{y}{x} = unit rate → \frac{4}{5} = 0.80; \frac{12}{15} = 0.80; \frac{16}{20} = 0.80

Point (1, r) → (1, 0.80) represents the unit rate.

25(0.80) = 20; thus, (25, 20) represents the price of 25 beads.

Hope this helps

8 0
2 years ago
What is the exact value of the cos F?
Galina-37 [17]

Answer:

cos(F) = 9/41

Step-by-step explanation:

The triangles are similar, so you know that ...

... cos(D) = cos(A) = 40/41.

From trig relations, you know ...

... cos(F) = sin(D)

and

... sin(D)² +cos(D)² = 1

So ...

... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)

... cos(F) = 9/41

_____

The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.

From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know

... cos(F) = cos(C) = 9/41

7 0
2 years ago
An oil tank is being filled at a constant rate the depth of the oil is a function of the number of minutes has been filling, as
satela [25.4K]

We are given time in minutes.

According to given table, we are given times 0 minute, 10 minutes and 15 minutes.

And depths are given 3, 5 and 6.

Times represents x coordinates and depths represents y-coordinates.

First we need to find the depth of the tank in per unit time( in a minute).

In order to find the depth of the tank in per unit time, we need to find th slope between two coordinates.

Let us take first two coordinate made using table (0,3) (10,5)

We know, slope formula

m=\frac{y_2-y_1}{x_2-x_1}

Plugging values in slope formula, we get

m= \frac{5-3}{10-0}=\frac{2}{10}=\frac{1}{5}

We got slope m= 1/5=0.2.

We can say that depth of the tank is increasing by rate 0.2 per minute.

From the given table, we can see that for x=0, y value is 3.

Therefore, y-intercept is 3.

Let us write an equation of the line for given table in slope-intercept form y=mx+b.

Plugging values of m and b in slope-intercept form, we get

y= 0.2x+3.

We need to find the depth after 1/2 hours.

1 hour = 60 minutes,

Therefore, 1/2 hours = 60/2 = 30 minutes.

Plugging value of x=30 in above slope-intercept form of the equation, we get

y= 0.2(30)+3.

y= 3+6 = 9.

y=9

Therefore, the depth of the oil 1/2 hour after filling begins is 9 units.

5 0
2 years ago
Garth estimated the height of the door to his classroom in meters what is a reasonable estimate
e-lub [12.9K]
2/3 meters would be a reasonable estimate.
8 0
2 years ago
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