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denis-greek [22]
3 years ago
6

the length of a boat is 10.8 m Boris buys a scale model of the boat the scale of the model is 1 to 18 work out the length of the

scale model of the boat give your answer in centimetres​
Mathematics
1 answer:
Wittaler [7]3 years ago
4 0

Answer:

The size of the scale model is 60 centimeters.

Step-by-step explanation:

Given that the length of a boat is 10.8 m, and Boris buys a scale model of the boat whose ratio is 1 to 18, to determine the length of the scale model of the boat in centimeters the following calculation must be performed:

1m = 100cm

10.8 m = (10.8 x 100) = 1080 cm

1080/18 = X

60 = X

Therefore, the size of the scale model is 60 centimeters.

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A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the g
astra-53 [7]

The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.

<h3>How to solve the length?</h3>

Here, we have two similar right triangles, ΔABE and ΔCDE.

CD = 11 ft

DE = 2 ft

BD = 35 ft

First, find AB:

AB/11 = (35 + 2)/2

AB/11 = 37/2

Cross multiply

AB = (37 × 11)/2

AB = 203.5 ft

Then, apply Pythagorean Theorem to find AE:

AE = √(AB² + BE²)

AE = √(203.5² + 37²)

AE = 207 ft

Therefore, the length of the guy wire is 207 ft.

Learn more about Pythagorean theorem on:

brainly.com/question/654982

5 0
2 years ago
A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.
irakobra [83]

Answer:

The integral is equal to 5\sec^2(2x)+C for an arbitrary constant C.

Step-by-step explanation:

a) If u=\tan(2x) then du=2\sec^2(2x)dx so the integral becomes \int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case u=\sec(2x) hence du=2\tan(2x)\sec(2x)dx. We rewrite the integral as \int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C.

c) We use the trigonometric identity \tan(2x)^2+1=\sec(2x)^2 is part b). The value of the integral is 5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C. which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.  

3 0
3 years ago
Brianna incorrectly said proportion below is 1/12
anzhelika [568]

Answer:

Um... u have no picture so we can't answer.

Step-by-step explanation:

3 0
2 years ago
Mr. Roberts bought a gas cooker $945. He sold it to a customer for 803.25 due to damage. Calculate:
AfilCa [17]

Answer:

A. $141.75

B. 15% loss (803.25/945)

Step-by-step explanation:

8 0
3 years ago
The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey h
satela [25.4K]

The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85

<h3>What is the z score?</h3>

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean  = 4.73

Standard deviation  = 0.865

Sample size  = 200

interval  = 95%

Confidence interval=?

95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.

Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85

To learn more about the Z score, refer to;

brainly.com/question/15016913

#SPJ1

4 0
2 years ago
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