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Helga [31]
3 years ago
7

Find the missing side x

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0

Answer:

x = 21.52

Step-by-step explanation:

Given:

hypotenuse (That has to be found out)

Side adjacent to the given angle

and an angle,

Hence we can say that Cos ratio would be used;

Cos(28) = 19 / x

x = 19 / Cos(28)

x = 21.52

Hope this helps!

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Susan determined that the expression below is equal to 7.59 . 15.91 subtract 8.32
weqwewe [10]
The answer to your question is 7.59 so shes right

3 0
3 years ago
In 1 and 2, use the table below that shows information about squares.
frutty [35]

1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.

2. Equation for the proportion is, y = 4x.

Perimeter = 48 cm.

<h3>What is the Equation of a Proportional Relationship?</h3>

The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.

1. For the table given:

y = perimeter

x = side length

k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.

Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.

2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:

y = 4(12)

y = 48 cm.

The perimeter (y) of the square is: 48 cm.

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brainly.com/question/15618632

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3 0
2 years ago
(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.
wariber [46]
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square


Hope that helps :)
3 0
2 years ago
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

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He got an extra dollar
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