Circular tracts of land with diameters 900 meters,700 meters and 600 meters are tangent to each other externally. There are houses directly in the center of each circle. What are the angles of the triangle connecting the houses?(round your answers to the nearest degree)

Q: 3.) -1 5 5 33 -5 -3 -3 6 0

A: Given, -155-5.-36-30

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

A:

Q: 9. Determine the inverse of the following function, and hence the domain and range. 5 + 2x F(x)= X

A: F(x)=5+2xx

Q: ed fair

A: Sample Event of dice rolled twice   {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),(2,1), (2,2), (2,3),…

Q: Q1\ Find the domain and the range for the following functions. choose only two 1- y = 1\(1 + x²) 3-…

A: Domain and range of function

Q: A group of children had a clean-up drive by the seashore. After the activity, they decided to play…

A: Activity is:-each child have to do 3 hopes followed by 1 jump.We have to calculate the number of…

Q: Determine whether the set {p1,p2,p3} is linearly independent in P2, where p1 = 2+x+3x^2 +4x^3, p2 =…

A:

Q: 2. Prove the following result using the definition of subspace: Let (V,+,-) be a vector space over R…

A: V,+,. be a vector space over ℝ and W⊆V.i) W≠ϕ andii) For every w,u∈W and every k,m∈ℝ, ku+mw∈W.

Q: 7. Is it possible for a graph with six vertices to have a Hamilton Circuit, but NOT an Euler…

A:

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

A:

Q: List the data in the following stem-and-leaf plot. The leaf represents the tenths digit. 14 7 15…

A:

Q: y-coordinate of the centroid of the plane region bounded by 17 What is the the x-axis and the…

A: Centroid of plane is given.

Q: The graph of a function fis shown below. Use the graph of the function to find its average rate of…

A: Let's find average rate of change from x = -2  to x = 1 from the above graph.

Q: 16. Jose's batting average is 0.250 after 160 times at bat, which means he made a hit 40 of the…

A: Let's solve.

Q: A monument is 35m tall. What is the length of its shadow when the angle of elevation of the sun is…

A: We know that tan(θ)=opposite sideadjacent side

Q: 2.) 2 6 5 3 2 [100 + -6 -6 2

A: 26-64(53-62+1220)

Q: 8z z + 3 VI €2.

A: To solve the given inequality.

Q: A wave is modeled with the function y=sin (30), where is in radians. Describe the graph of this…

A: If y= A sin(Bx+C),then Amplitude -APeriod : 2πB .

Q: QUESTION 9 Let A = 12 21 9.1 Find the eigenvalues of A. 9.2 Find bases for the eigenspaces of A. 9.3…

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: Evaluate the following. Use Exponent Rules where possible: a. 38 ÷ 37 = b. 55 x 5² = c. 4³ - 3³ = 33

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Give the equation of the circle centered at the origin with radius 10. 7

A: We know that equation of a circle centered at the origin with radius r is x2+y2=r2. So, for radius…

Q: . Caroline can paint a fence in b Her sister Lily can paint the same fence in 4 hours. How long will…

A: Follow the procedure given below.

Q: answer

A: 2x3/4 - 14 = 50 2x3/4 = 54 x3/4 = 27

Q: Given P(x) = x + 2x² + x + 2, find the zeros, real and non-real of P The zeros are Write Pin…

A:

Q: The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the…

A:

Q: Consider the following recursive sequence. Find the next four terms a2, 93, a4, and a5. a₁ = 2 a1 an…

A:

Q: Alyssa went on a road trip with some of her friends. They drove approximately 259km from Toronto to…

A:

Q: E-Loan, an online lending service, recently offered 48-month auto loans at 4.8% compounded monthly…

A:

Q: ind the value of (-1-√√3i) 267

A: Please refer to the image below

Q: 18. If x - 2 divides p(x) evenly, which statement must be true? O2 is the slope of p(x) O - 2 is the…

A: x-2 divides p(x)

Q: Which equation represents the hyperbola graphed below? 10 2-2=1 A 5-8-1 B 3-1 C -4-1

A: Explained below

Q: 4. For the following polynomial write the polynomial in standard form and specify: a) its degree b)…

A: Expand the polynomial then answer the questions.

Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

A:

Q: What is the solution for x²-18x 7 Ox 11 O-11<x<7 07<x< 11

A: We use the concept of quadratic inequalities to solve the given problem.

Q: To find the distance AB across a river,two points(B and C) 354 meters apart were laid off on one…

A: To find out the distance across the river.

Q: Solve 52-4(5*)= 12. Paragraph BI Uv Αγ IU lılı

A:

Q: Let V be a vector space and let u, v E V. If W = {au + Bula, BE R}, prove that W is a subspace of V.

A: Given :W be the non empty subset of V satisfying conditions α,β∈R and αu+βv∈W

Q: Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building…

A: Here we use property of logarithmic function.

Q: What is the solution to the equation? 2x+10-6=2

A: Given:  2x+10-6=2To Find: solution for x.

Q: The Ylaya Textile Mill produces denim. The fixed monthly cost is $21,000, and the 2. variable cost…

A: Given Fixed Cost FC=21000                    variable V=0.45          selling price…

Q: Question Show that w= [(a,0, b)la, bεR] is a subspace OF R³

A:

Q: 12. The population, P, of a small town experiencing exponential population growth can be modeled by…

A: You must have idea of exponential growth model to understand this problem.

Q: Find the angle between u and v. If u =(-12,8) and v= (-5,-12), find:

A:

Q: Select the expression that is equivalent to (3x²+5) -5/27 1 (3x²+5)5 √(3x² + 5)² O 5/(3x²+5)² O…

A: The given expression,         13x2+5-52

Q: 2. (i) x²-12√/2 = 17 and (ii) y + y = 18√/3 1 a. Ifx-√√5=2 then find the value of x-- X b. From (1)…

A: A detailed solution is given below.

Q: 채왔음 (9) (c) 12층 + 1-122

A: topic- linear inequalities

Q: v² =v² +2a(s-s) i. j. K = = kx² 2 k. T = 27 е g ,a = ,X = ,g =

A: This question can be solved using the concept of explicit function.

Q: 6. I. Evaluate each determinant. 3 -3 -4 4 1 -5 0-1 -4

A: Given |3-3-441-50-1-4|To evaluate the determinant:

Q: 2. Three coins with diameters 32 mm, 24 mm, 16 mm lie flat on a table so that each one touches the…

A:

Q: State the transformations, in proper order, that are needed to turn f(x)=-810g10x+6 into…

A: