MATHEMATICS COLLEGE

Find the area of the triangle Please help

Answers

Answer 1

Answer:

Answer:

14m^2

Step-by-step explanation:

Area of a triangle is - 1/2 base times hight

two triangels find the srea of both and add them

4x4x1/2 = 16x1/2 = 8m

3x4x1/2 = 12x1/2 = 6m

6m + 8m = 14m

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. A coin is tossed three times, and the sequence of heads and tails is recorded.(a) Determine the sample space, Ω.(b) List the elements that make up the following events: i.A= exactly two tails, ii.B= at least twotails, iii.C= the last two tosses are heads(c) List the elements of the following events: i.A, ii.A∪B, iii.A∩B, iv.A∩C
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In a certain online dating service, participants are given a 4-statement survey to determine their compatibility with other participants. Based on the questionnaire, each participant is notiﬁed if they are compatible with another participant. Each question is multiple choice with the possible responses of "Agree" or "Disagree," and these are assigned the numbers 1 or −1, respectively. Participant’s responses to the survey are encoded as a vector in R4, where coordinates correspond to their answers to each question. Here are the questions:

Sales in Tiffin ties declined from 420 in last year to 360. What percentage drop is that

Answers

Answer:

14.29%

Step-by-step explanation:

Given

Initial sales = 420
Later sales = 360

Solution

Drop in sales

420 - 360 = 60

Percentage drop

60/420*100% = 14.29%

Basic Geometric Shapes Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 15 points (Score for Question 1: ___ of 3 points) 1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: a. Hint: Think about it from the cars perspective. The angle youre finding is the inside angle of the cars turn. (a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer. (b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer. (c) Suppose a car is traveling northeast on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

Answers

Answer:

(a)105° (b)105° (c)105°

Step-by-step explanation:

The Question Image is attached and a labeled one for explanation.

(a)If the Car is travelling east from the direction point A and heads North East on Kings Avenue in the direction of E, the angle which the car makes is Angle AFE

Angle AFE=180-75=105°

(b)If a car is traveling southwest on King Avenue and is to turn left onto 3rd Street. His probable starting point is North of 3rd street, say F. The angle created is Angle FGC.

Angle AFE =Angle FGC (Corresponding Angles)

Angle FGC =105°

(c)Suppose a car is traveling northeast on King Avenue is to turn right onto 3rd Street. His starting point will be South of 3rd Street.

Angle HGD will be the angle with which it turns.

Angle HGD= Angle CGE(Vertically Opposite Angles)

Angle HGD=105°

What is the measure of the angle created by the car's turning? Explain your answer.

-3-[(6+3)+(-5-18)] $-3-[(6+3)+(-5-18)]$

Answers

Answer:

Step-by-step explanation:

Finding the work done in stretching or compressing a spring. Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.

In this problem we assume that the force applied doesn't distort the metal in the spring.

A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.

Answers

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

Final answer:

To find the force function of a spring using Hooke's Law, you first identify the spring constant 'k' using the given work done and extension. In this case, we found 'k' to be 137.5 N/m. Hence, the force function F(x) for the spring comes out to be 137.5x N.

Explanation:

The problem revolves around Hooke's Law, which is used to determine the force needed to stretch or compress a spring by a certain distance away from its equilibrium position. This law can be mathematically represented as F(x)=kx, where 'F(x)' represents the force applied, 'k' is the spring constant, and 'x' is the distance.

In this question, the work done (W) to stretch the spring is given as 11 J, and the extension (Δx) is 0.4 m (from 2 m to 2.4 m). The work done on a spring is calculated by the equation W = 1/2 * k * (Δx)^2. From this, you can solve for 'k' value. Once you have 'k', you can find the force function F(x) for the spring.

1. Calculate 'k' using the work done equation:

11 J = 1/2 * k * (0.4 m)^2 ➔ k = 137.5 N/m

2. Substitute 'k' in F(x):

F(x) = 137.5 N/m * x

Hence, the force function F(x) = 137.5x N is required to extend the spring by 'x' metres.

Learn more about Hooke's Law here:

brainly.com/question/32317230

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Mrs. Gregory, the golf course superintendent at a country club, plans to reseed the putting green of the first hole. The circular putting green has a diameter of 38 ft.What is the area of the putting green?

Use π=3.14. Round to the nearest tenth