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3 years ago

Two complementary angles are represented by x and x+14 . find the value of x

Mathematics

2 answers:

Alex Ar [27]3 years ago

7 0

the answer will be ....

qaws [65]3 years ago

6 0

Answer:

$x=38\textdegree$

Step-by-step explanation:

Remember that complementary angles <em>always </em>add up to 90°.

We know that the two complementary angles are represented by (x) and (x+14). In other words:

$(x)+(x+14)=90$

So, let's solve for x.

First, combine like terms:

$2x+14=90$

Let's isolate the x by subtracting 14 from both sides:

$(2x+14)-14=(90)-14$

The left cancels. Subtract on the right:

$2x=76$

Divide both sides by 2:

$\frac{2x}{2}=\frac{76}{2}$

The left side cancels. Divide on the right:

$x=38\textdegree$

So, the value of x is 38°.

And we're done!

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Using linked lists or a resizing array; develop a weighted quick-union implementation that removes the restriction on needing th

balu736 [363]

Answer:

Step-by-step explanation:

package net.qiguang.algorithms.C1_Fundamentals.S5_CaseStudyUnionFind;

import java.util.Random;

/**

* 1.5.20 Dynamic growth.

* Using linked lists or a resizing array, develop a weighted quick-union implementation that

* removes the restriction on needing the number of objects ahead of time. Add a method newSite()

* to the API, which returns an int identifier

public class Exercise_1_5_20 {

public static class WeightedQuickUnionUF {

private int[] parent; // parent[i] = parent of i

private int[] size; // size[i] = number of sites in subtree rooted at i

private int count; // number of components

int N; // number of items

public WeightedQuickUnionUF() {

N = 0;

count = 0;

parent = new int[4];

size = new int[4];

}

private void resize(int n) {

int[] parentCopy = new int[n];

int[] sizeCopy = new int[n];

for (int i = 0; i < count; i++) {

parentCopy[i] = parent[i];

sizeCopy[i] = size[i];

}

parent = parentCopy;

size = sizeCopy;

}

public int newSite() {

N++;

if (N == parent.length) resize(N * 2);

parent[N - 1] = N - 1;

size[N - 1] = 1;

return N - 1;

}

public int count() {

return count;

}

public int find(int p) {

// Now with path compression

validate(p);

int root = p;

while (root != parent[root]) {

root = parent[root];

}

while (p != root) {

int next = parent[p];

parent[p] = root;

p = next;

}

return p;

}

// validate that p is a valid index

private void validate(int p) {

if (p < 0 || p >= N) {

throw new IndexOutOfBoundsException("index " + p + " is not between 0 and " + (N - 1));

}

public boolean connected(int p, int q) {

return find(p) == find(q);

}

public void union(int p, int q) {

int rootP = find(p);

int rootQ = find(q);

if (rootP == rootQ) {

return;

}

// make smaller root point to larger one

if (size[rootP] < size[rootQ]) {

parent[rootP] = rootQ;

size[rootQ] += size[rootP];

} else {

parent[rootQ] = rootP;

size[rootP] += size[rootQ];

}

count--;

}

public static void main(String[] args) {

WeightedQuickUnionUF uf = new WeightedQuickUnionUF();

Random r = new Random();

for (int i = 0; i < 20; i++) {

System.out.printf("\n%2d", uf.newSite());

int p = r.nextInt(i+1);

int q = r.nextInt(i+1);

if (uf.connected(p, q)) continue;

uf.union(p, q);

System.out.printf("%5d-%d", p, q);

uf.union(r.nextInt(i+1), r.nextInt(i+1));

}

8 0

3 years ago

Pedro wants to walk from the historic village to the science center. Then he will walk from the science center to the museum. If

MrRissso [65]

Answer:

5 hours

Step-by-step explanation:

Speed = 2 7/ 10 miles per hour

From the chart attached :

Distance between historic village and science center : (-4 1/2, 5 1/4) to (-4 1/2, -1 3/4)

Taking the sum of the absolute value of the y coordinate :

|5 1/4| + |-1 3/4| = 5 + 1 + 1/4 + 3/4 = 7

From science center to museum :

(-4 1/2, - 1 3/4) to (2, - 1 3/4)

Taking the sum of the absolute value of the x coordinate :

|4 1/2| + |2| = 4 + 2 + 1/2 = 6 1/2

Total distance traveled = 7 + 61/2 = 13 1/2 miles

Time taken = Distance / speed

Time taken = 13 1/2 ÷ 2 7/10

Time taken = 27/2 * 10/27

Time taken = 10/2

Time taken = 5 hours

4 0

3 years ago

PLEASE HELP!!!!!

Vadim26 [7]

Answer:

Step-by-step explanation:

9x - 1 / 2 + 9/2 x = 0.128886 (43)

2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)

= x1 + 24 - 3/4 + 8

9/3 - 1 x = /3

6 0

3 years ago

Rewrite sin^4xtan^2x in terms of the first power of the cosine

Vikki [24]

$\sin ^4 x \tan ^2 x = \dfrac{\sin ^4 x\ \sin ^2 x }{\cos ^2 x} = \dfrac{\sin^6 x}{\cos ^2 x} = \dfrac{(\sin ^2 x)^3}{\cos^2 x}=\dfrac{(1-\cos^2 x)^3}{\cos^2 x}$

7 0

3 years ago

1. algebraic expression

mixer [17]

Answer:

1. algebraic expression: a mathematical expression containing one or more variables

2. coefficient: the constant preceding the variables in a product

3. constant: a numerical value

4. expression: a mathematical phrase that cannot be determined true or false

5. variable: a letter or symbol used to represent an unknown

Step-by-step explanation:

3 0

3 years ago