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Brums [2.3K]
2 years ago
7

Adhesive tape made from fabric has a tensile strength of not less than 20.41 kg/2.54 cm of width. Reduce these quantities to gra

ms and millimeters.
Mathematics
1 answer:
OlgaM077 [116]2 years ago
8 0

Answer:

\frac{20,410 \text{ grams}}{254\text{ mm}}

Step-by-step explanation:

We have been given that adhesive tape made from fabric has a tensile strength of not less than 20.41 kg/2.54 cm of width. We are asked to reduce these quantities to grams and millimeters.

We know 1 kg equals 1000 grams and 1 cm equals 10 mm.

\frac{20.41\text{ kg}}{\text{2.54 cm}}

\frac{20.41\text{ kg}}{\text{2.54 cm}}\times \frac{\text{1 cm}}{\text{10 mm}}

\frac{20.41\text{ kg}}{2.54\times\text{10 mm}}

\frac{20.41\text{ kg}}{254\text{ mm}}

\frac{20.41\text{ kg}}{254\text{ mm}}\times \frac{\text{1000 grams}}{\text{1 kg}}

\frac{20.41\times \text{1000 grams}}{254\text{ mm}}

\frac{20,410 \text{ grams}}{254\text{ mm}}

Therefore, our required measurement would be \frac{20,410 \text{ grams}}{254\text{ mm}}.

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Let

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b--------> the total cost in dollars of 5 ounces of beeswax

we know that

a=0.50 \frac{\$}{ounce}*6=\$3

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therefore

<u>the answer is</u>

the total cost in dollars of 6 ounces of coconut oil is a=\$3

the total cost in dollars of 5 ounces ofbeeswax is b=\$10

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2 years ago
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You'll make a profit of $150.
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Emery looks out their apartment window to the building across the way. The building isknown to be 42 feet tall. The angle of dep
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Answer:

x=44.5ft

Step-by-step explanation:

From the question we are told that:

Height h=42ft

Angle of depression \theta=27\textdegree

Angle of Elevation \alpha=23 \textdegree

Generally the equation for the vertical distance between Emery's distance x and the bottom of the building  is mathematically given by

Since the angle of depression and elevation are given as

27 and 23 respectively

Therefore

Emery's view of the 42 ft building is

\gamma=23+27

\gamma=50  \textdegree

Therefore Emery's distance x to the base of the building h' is

h'=\frac{27}{50}*42

h'=22.68ft

Generally the Trigonometric equation for Emery's distance x is mathematically given by

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x=\frac{22.68}{tan 27}

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A square lawn has area 800ft^2. A sprinkler placed at the center of the lawn sprays water in a circular pattern as shown in the
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Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inc
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The question is
Find the values of x and  y

Let
x---------> the number of 6-inch pies Annika sold 
y--------> the number of 8-inch pies Annika sold 

we know that
x=2y------> equation 1
5x+9y=133---> equation 2
substitute the equation 1 in equation 2

5*[2y]+9y=133
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y=7
x=2y-----> x=2*7-----> x=14

the answer is
the number of an 6-inch pies is 14
 the number of an 8-inch pie is 7
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