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bonufazy [111]
2 years ago
8

Work out the lengths of sides a and b. Give your answers to 1 decimal place.

Mathematics
1 answer:
torisob [31]2 years ago
3 0

Step-by-step explanation:

{a}^{2}  =  {8}^{2}  +  {5}^{2}  \\  {a }^{2}  = 64 + 25 \\  {a}^{2}  = 89 \\ a =  \sqrt{89}  = 9.4 \: cm

{17}^{2}  =  {12}^{2}  +  {b}^{2}  \\  {b}^{2}  =  {17}^{2}  -  {12}^{2}  \\  {b}^{2}  = 289 - 144 \\  {b}^{2}  = 145 \\ b = 12 \: cm

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Aleonysh [2.5K]

Answer:

-13 + 9

Step-by-step explanation:

if you have -13° and then it rises 9°, it will be added since it’s rising and rise can be a way of addition. so -13 + 9 is your answer

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2 years ago
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Attached as photo. Please help
Effectus [21]

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

<h3>How to estimate a definite integral by numerical methods</h3>

In this problem we must make use of Euler's method to estimate the upper bound of a <em>definite</em> integral. Euler's method is a <em>multi-step</em> method, related to Runge-Kutta methods, used to estimate <em>integral</em> values numerically. By integral theorems of calculus we know that definite integrals are defined as follows:

∫ f(x) dx = F(b) - F(a)     (1)

The steps of Euler's method are summarized below:

  1. Define the function seen in the statement by the label f(x₀, y₀).
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    xₙ₊₁ = xₙ + (n + 1) · Δx     (2)
    yₙ₊₁ = yₙ + Δx · f(xₙ, yₙ)     (3)
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The table for x, f(xₙ, yₙ) and y is shown in the image attached below. By direct subtraction we find that the <em>numerical</em> approximation of the <em>definite</em> integral is:

y(4) ≈ 4.189 648 - 0

y(4) ≈ 4.189 648

By Euler's method the <em>numerical approximate</em> solution of the <em>definite</em> integral is 4.189 648.

To learn more on Euler's method: brainly.com/question/16807646

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Answer:

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Alternate Hypothesis, H_A : p < 45%

Step-by-step explanation:

We are given that the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The collected random sample of size 50 showed that only 18 were women.

<u><em>Let p = proportion of women in similar sales positions across the country in 2004</em></u>

So, Null Hypothesis, H_0 : p \geq 45%    

Alternate Hypothesis, H_A : p < 45%

Here, <u><em>null hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is more than or equal to 45%.

On the other hand, <u><em>alternate hypothesis states that</em></u> the proportion of women in similar sales positions across the country in 2004 is less than 45%.

The test statistics that would be used here is One-sample z proportion test statistics, i.e;

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Answer:

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