A diagonal brace is to be placed in the wall of a room. The height of the wall is 8 ft, and the wall is 13 ft long. What is the exact length of the brace? __________ ft​What is the length of the brace to the nearest foot? __________ f

Q: (b). A right-angled triangle is to be constructed so that the hypotenuse is 20 cm long. The height…

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Q: A diagonal brace is to be placed in the wall of a room. The height y of the wall is 8 ft and the…

A:

Q: A rectangular carpet has an area of 220 yds^2. The width w is 9 yards less that the length l. Find…

A: Let length = L yards Width  = L-9 yards Area= Lw Area= L (L-9) According to the question, L…

Q: 3. A forest fire lookout tower casts a shadow 180 ft long at the same time that the shadow of a 9-ft…

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Q: 4. On a baseball diamond (a square), the distance from home plate to first base is 90 feet. Find the…

A: On a baseball diamond(a square), the distance of home plate to first base is 90 ft

Q: A certain triangle has a base (x) and a height (y). A new triangle is created by tripling the length…

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Q: The length of AB is 54 centimeters. Solve for x, then find the length of each segment. 7. (4x – 9)cm…

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Q: Two similar triangles have their sides in the ratio 1:3. a. What is the ratio of their respective…

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Q: RAILROADS A straight railroad track is being built to connect two cities. The measured distance of…

A: As per bartleby guidelines more than one question is asked only the first question is to be solved.…

Q: The official distance between home plate and second base in a baseball diamond is 120 ft. Find the…

A: We can find the answer as below.

Q: Malik who is 5 ft talk stands 15 ft from a mirror. In the mirror, he can see the reflection of the…

A: Given, The height of Malik AB = 5 ft The distance between Malik and mirror BM = 15 ft The distance…

Q: A ladder is leaning against the side of a building. The base of the ladder is 6 feet away from the…

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Q: A ladder is leaning against the side of a building. The base of the ladder is 6 feet away from the…

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Q: 12. The hypotenuse of a right triangle is 10 cm long. One of the triangle's legs is three times the…

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Q: The helght of a triangle is 8 m more than twice the length of the base. The area of the triangle is…

A: Given Area of triangle A = 21 m2length of the base = bheight of a triangle = hheight of a triangle…

Q: The length of AB is 108 centimeters. Solve for x, then find the length of each segment. 8. (6x -…

A: A detailed solution is given below.

Q: power pole fell over during a hurricane and settled against the side of a building (forming a right…

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Q: Use the information below to find the length of BC: * 10 Vanessa wants to measure the width of a…

A: Solution:-

Q: A bucket is in the form of a frustum of a cone and holds 28490 liters of water .The radio of the tip…

A: We have to find the height of the given frustum of a cone.

Q: 7. A triangle has a hypotenuse of length 17cm and one leg of length 15cm. Find the length of the…

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: The base of a triangle is 2cm more than the height. The area of the triangle is 12cm^2.Find the…

A: Area of the triangle

Q: A tower 50.0 ft high has a guy wire that is attached to its top and anchored in the ground 15.0 ft…

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Q: vancant lot is being converted into a community garden. the garden and the walkway around its…

A: vancant lot is being converted into a community garden. the garden and the walkway around its…

Q: How do you answer question twenty-eight?

A: Given that the volume of the box is 1536 in3.Let w be the width of the rectangular piece of metal.…

Q: b; = h + 1 b, = 2h 1 The string is inches long.

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Q: The fish tank is in the shape of a rectangular prism. The height of the tank is 18 ft. The width of…

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Q: The perimeter of a triangle is 134 ft. The lengths of the two sides are the same. The length of the…

A: the objective is to find the shorter side and the other two sides

Q: Triangles A and B are similar triangles, as pictured below. Q The smaller triangle has a perimeter…

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Q: Suppose an angle has a measure of 130 degrees. If a circle is centered at the vertex of the angle,…

A: As per bartleby expert policy, only one individual question is to be answered. Kindly repost the…

Q: The height of a triangles is 3 cm more than its base. The area of the triangle is 17 cm2. Find the…

A: Given Area of triangle=17 cm2 height of triangle=3cm

Q: cm. The two other sides

A: the other two sides have lengths, 9 cm and 12 cm    The detailed solution is as follows below:

Q: A wire is needed to support a vertical pole 12 feet tall. The cable will be anchored to a stake 9…

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Q: break this down and identify necessary information, such as what the question is asking you to find,…

A: We sketch the situation roughly  x= length of the extension cord

Q: 3. A 40ft long ladder can reach a 30ft high window of a building. If the ladder if turned over, its…

A: Given:- A 40ft long ladder can reach a 30ft high window of a building. If the uses storm ladder if…

Q: The length of a shadow of a building is 27 m. The distance from the top of the building to the tip…

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Q: 3. Diagonals AC and BD meet at E. DE is 6.5 cm and AC is 13 cm. Questions: D How did you solve for…

A: J

Q: Pentagons ABCDE and FGHIJ are similar. The ratio of each side of pentagon ABCDE to its corresponding…

A: Here we have to use the concept of similarity.

Q: You wish to Construct a closed rectangular box that has a volume of 4 ft^3. The length of the base…

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Q: 3. 4 ne length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45…

A: Given that  Length of the rectangle is 1 ft more than twice the width  Area of the rectangle is 45…

Q: The hypotenuse of a right triangle is 13 ft long. The shorter leg is 7 ft shorter than the longer…

A: Let the length of the shorter leg is = x ft So the length of the longer leg is = (x+7) ft Given that…

Q: railroad bridge in one city has a low clearance for trucks. An engineer standing 24 ft away measures…

A: consider the following figures The point A is the top of the bridge D is the bottom of the bridge…

Q: here is a crowd of people that is 12 feet deep on both sides of the street standing along a 5-mile…

A: To determine the number of people watching the parade on ONE side.

Q: A ladder is leaning against the side of a building. The base of the ladder is 6 feet away from the…

A: The base of the ladder is 6 feet away from the building and the top of the ladder touches the…

Q: An observer at the top of a lighthouse begins watching a whale when the angle of depression to the…

A: Topic  = Trigonometry

Q: of dirt removed from an excavation is a cone measuring 6 feet high and 30 feet across the base.  A…

A: Introduction: The volume of a cone of radius r and height h is given by, V=13πr2h

Q: In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K…

A: To find:  Length of street K between street C and street D i.e. x Length of street K between street…

Q: Two cables support a 1100-lb weight, as shown. Find the tension in each cable. 70 1100 lbs The…

A: Use force balance of the vertical and horizontal components

Q: The height of a triangular truss is 8ft less than the base. The amount of drywall needed to cover…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.