Find the area of a triangle with vertices A(1, 3, 5), B(-2, -3, -4) and C(0, 3, -1).

Q: 10. The shortest leg of a 30-60-90 triangle has a length of sides of the triangle?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: A pre-image of a figure contains the point (3, 4). Distinguish the location of this point in the ima...

A: We have to find the pre image of the given transformtio (x, y) → (y, x) at points (3,4)by plotting y...

Q: Find the explicit rule using n for the figure number

A: Sequence of figure is given, we have to find the explicit formula

Q: How many cubic feet of warehouse space are needed for 450 boxes 16 in. by 8 in. by 10 in? Round to t...

A: You know that: 12 in. = 1 ft.  1 in.  = 112 ft.     So the dimensions of the box in the foot are: 16...

Q: Identify and define in your own words define the three types of triangles that are classified by the...

A: To define the type of triangle on the basis of angle with examples.

Q: 9. Given an equilateral triangle with sides of length 9, find the length of the altitude using speci...

A: This question can applying the concept of special triangles(30°-60°-90°)

Q: 32. The bisectors of two adjacent supplementary angles form a right angle. Given: LABC is supp. to L...

A: ∠ABC+∠CBD=180°    [Given]  ---->(1)∠ABE=∠EBC   [BE→ bisects ∠ABC]  ---->(2)∠ABC=∠ABE+∠EBCSubst...

Q: Consider the following graph of y = f(x). D B Which of the following statements about the function f...

A: From the given graph we can conclude that-

Q: Find the length of the altitude to the hypotenuse under the given conditions. Give the answer in sim...

A:

Q: What is the perimeter of this figure?

A: Given query is to find perimeter of rectangle with sides 21cm and 9cm.

Q: 9. ABCDEF is a regular hexagon with centre O. FA = a and FB = b. %3D %3D Express the following vecto...

A:

Q: statement reason 1. m<Y= 49, m<Z = 131, m<W = 49 1. 2. m<y + m<z +m<w+ m<x = 360 2. 3. 3. 49 +131 + ...

A: We can fill up the table with reason  as below

Q: Find XY. 390 8. Y Write your answer as an integer or as a decimal rounded to the nearest tenth. XY =...

A: Solution ) Sin rule in triangle xyz xy/sin39 = yz/sin90 xy = yz × sin39 /sin90 xy = 8 × 0.6293 / 1 x...

Q: The diagonal of square ABCD İs shown. -1 -1 -2 Which of the following could be the coordinate point ...

A: Solved below

Q: Quadrilateral ABCD has vertices at A (-4,4), B(1,1,), C(4,6), and D(-1,9). Based on the properties o...

A:

Q: Point P'(-6,-4) is the image of point P(-2,3) after a translation. What is the image of point A(5,-1...

A: Point P'(-6,-4) is the image of point P(-2,3) after  translation. What is the image of point A(5,-1)...

Q: 3/4 5 Given: OR = OQ, ZN ZP Prove: 23 2 25 P Why is the proof incorrect? Statements Reasons 1. OR E ...

A:

Q: If the edge of a cube is doubled, which of the following is incorrect? The volume is increased 8 tim...

A: topic - cubes

Q: Question 46 Determine the standard equation of an ellipse centered at (1,1) with a focus at (11,1) a...

A: To find out the equation of ellipse from the given information. 

Q: Given an ellipse whose semi-major axis is 6 cm and semi-minor axis is 3 cm. What is the volume gener...

A: Explained below 

Q: 7. From the top of a 108 foot lighthouse, the angle of depression to a boat at sea is 279. Find the ...

A: Topic = Trigonometric ratios 1) Horizontal distance from boat to base of light house is 212 feet. 2)...

Q: QUESTION 4 In the diagram below, PQRS is a cyclic quadrilateral. PS and QR are produced to meet at T...

A: Given that:  PQRS is a cyclic quadrilateral. RE is a tangent to the circle at R. RE∥QS.   We have ...

Q: What is the measure of the angle x? 80° O 30 O 20 60 O 40 None of these Clear my choice

A:

Q: What is the degree AND direction of rotation that takes AQRS to AQ'R'S'? R

A:

Q: a quadratic function f is given  f(x)=x^2-6x+10 a) express f in standard form  f(x)= b)find the ...

A: We have to solve given questions on the basics of Given function.

Q: 9. If ABC is an acute angled triangle then the minimum value of sin A + (1 -sin A)* + sin B + (1- si...

A: Claim: for 0≤x≤1, f(x) = x⁴+(1-x)⁴ is minimum when x = 1/2  Proof: f(x) = x⁴+(1-x)⁴  So, f'(x) = 4x³...

Q: trhe med find the missing angle or arc. Find the measure of ZA D A 12 C

A: Given query is to find the measure of angle A.

Q: Solve for the missing number in the proportion. Distinguish which method you used. x +4 27 15 45 Use...

A: Topic:- algebra

Q: Darcy had 2 equations, Circle A (х — 2)° + (у — 3)? B (x – 1)² + (y – 1)? = 25. She 16 and Circle sa...

A: Given query is to find the mistake made by Darcy.

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e^- sin x and passes t...

A:

Q: give an example of the dimensions of a pyramid that would result in a volume of 36 cubic units. expl...

A:

Q: Given: DBC LE Prove: ADBC-AAEC E. A B

A:

Q: 6. If each angle in one triangle is congruent to its corresponding angle in another triangle, are th...

A: Given Two triangles with each angle equal to corresponding angles of other triangle. We have to dete...

Q: 3. 18:x = 4:5 Means: and Extremes: and y 3 4. Means: and 10-y 8. Extremes: and

A:

Q: Which sequence of transformations maps AABC onto ARST? C 4 3 2 A B -5 -4 -3 -2 –1 2345 R

A: To move trangle ∆ABC to ∆RST,Step 1: Move triangle ∆ABC 2 unit rightStep 2: Move triangle ∆ABC 1 uni...

Q: The bisectors of two adjacent supplementary angles form a right angle. ZABC is supp. to ZCBD BÉ bise...

A: Given ∠ABC is supplementary to ∠CBD. BE→ bisects ∠ABC. BF→ bisects ∠CBD. We have to prove that ∠EBF ...

Q: A figure has slopes of 3/2, -7/5, 3/2, 7/5.  What si the most precise name of the shape? 1. paralle...

A:

Q: How much larger does a figure get after the dilation D:(x, y) = (2.5x, 2.5y) is performed on it? Exp...

A:

Q: B. Consider the following triangles below : U 2 1. 4.5 4.5 500 5.8 29 500 a. Are the triangles simil...

A: 1) PRTU=34.5=23QRSU=34.5=23PQTS=23So, PRTU=QRSU, QRSU=PQTS, PRTU=PQTSTherefore, ∆PRQ~∆TUS by SSS sim...

Q: Segemnt JK has endpoints J(a,2b) ans K(3a,4b) Find the midpoint.

A: We can find the midpoint as below

Q: Isosceles ACAR is inscribed in . If mCR=130, find: %3D a. тСARD b. m ACRO C. m ARCO d. mAC = e. mAR ...

A: Topic:- geometry   

Q: A figure is shown. n° 230 73° 67

A: Given query is to find the indicated angle.

Q: Direction. Find the value of x (item no.1-5). Find the value of x and y (6-10). 10. 30' .513

A: Given:   Triangle is given

Q: Given the point A(-3, 5) find the image after the following glide reflection: Translation: (x, y) ->...

A:

Q: x² + y? + 20x + 12y, write + 111 = 0

A: Given: - The equation is, x2+y2+20x+12y+111=0 and the standard form equation in the form,(x-h)2+(y-k...

Q: 2. Complete the proof using the Statements/Reasons Bank. Some statements/reasons may be used more th...

A:

Q: 1. What is the simplified form of (3⁰)(5²)(7¹)(1000⁰)? A. 1 B. 25 C. 125 D. 175 2. The length of th...

A: topic - exponents

Q: 1. Use the method of disksirings to determine the volume of the solid obtained by rotating the regio...

A: Disk/ring method:    y1 = fx   = 4+3e-x      y2 = gx  = 2y' =the axis of rotation = 7, 1 , -3x1 = th...

Q: Find the volume of the following: d. The diameter of a cylinder is 5.5 cm and the height is 7 cm. f...

A:   d. The diameter of a cylinder is 5.5 cm and the height is 7 cm. find its volume. e. The height of ...

Q: Name three points that appear to be a) collinear. b) noncollinear. Exercises 9, 10 12. Explain the d...

A: