One of the legs of a right triangle measures, №17886723, 12.04.2022 04:00

Mathematics

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 11 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Step-by-step answer

P Answered by PhD

1

Step-by-step explanation:

$h^2=x^2+y^2\\ \\ x^2=h^2-y^2\\ \\ x=\sqrt{h^2-y^2}\\ \\ x=\sqrt{121-36}\\ \\ x=\sqrt{85}$

Mathematics

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters? A. 10cm B. 11cm C. 9cm D. 7cm

Step-by-step answer

P Answered by Master

10cm

Step-by-step explanation:

$Hypotenuse^{2}$ = $base^{2} + altitude^{2}$

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

$Hypotenuse^{2}$ = $8^{2} + 6^{2}$

$Hypotenuse^{2}$ = 64 + 36

$Hypotenuse^{2}$ = 100

Hypotenuse = $\sqrt{100}$

Hypotenuse equals 10cm!

Mathematics

The legs of a right triangle measure 6 centimeters and 8 centimeters. How long is the hypotenuse in centimeters? A. 10cm B. 11cm C. 9cm D. 7cm

Step-by-step answer

P Answered by Specialist

10cm

Step-by-step explanation:

$Hypotenuse^{2}$ = $base^{2} + altitude^{2}$

The hypotenuse can be taken as 'x'. As given in the question, the length of base is 8cm and the altitude is 6cm. So substituting these in the equation, we get:-

$Hypotenuse^{2}$ = $8^{2} + 6^{2}$

$Hypotenuse^{2}$ = 64 + 36

$Hypotenuse^{2}$ = 100

Hypotenuse = $\sqrt{100}$

Hypotenuse equals 10cm!

Mathematics

Pls 1. a) given the provided angle and the leg provided, what trigonometric ratio is used to find the hypotenuse? write out the equation using the ratio and angle. b) what is the length of eg rounded to the nearest hundredth? include units. c) what is the measure, in degrees, of angle e? d) what is length of ef rounded to the nearest hundredth? include units. e) what is the area of triangle efg? include units. 2.a regular hexagon has an edge length of 4 cm. what is the exact area of the hexagon? do not answer with a decimal. hint: draw a picture,

Step-by-step answer

P Answered by Specialist

1

A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

$cos 40=\frac{10}{Hypotenuse EG.}$

B) Cos 40 =0.766.

Substituting tan40 value we have:

$0.766=\frac{10}{EG}$

EG=13.05.

C)Sum of angles in triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) $Tan 40=\frac{EF}{10}$

EF=8.39

E) Area of triangle EFG= $\frac{1}{2}x base x height.$

A rea of the triangle = $\frac{1}{2}x8.39x13.05$

Area= 54.75 square units.

Mathematics

Pls 1. a) given the provided angle and the leg provided, what trigonometric ratio is used to find the hypotenuse? write out the equation using the ratio and angle. b) what is the length of eg rounded to the nearest hundredth? include units. c) what is the measure, in degrees, of angle e? d) what is length of ef rounded to the nearest hundredth? include units. e) what is the area of triangle efg? include units. 2.a regular hexagon has an edge length of 4 cm. what is the exact area of the hexagon? do not answer with a decimal. hint: draw a picture,

Step-by-step answer

P Answered by Master

1

A) The hypotenuse is the longest side of the triangle .In the figure EG is the hypotenuse.The given angle is <G=40 degrees.The side adjacent is FG= 10 units.

The question is asking us to find the trigonometry ratio which will help us find EG.We can use cos as cos is ratio of adjacent and hypotenuse.

$cos 40=\frac{10}{Hypotenuse EG.}$

B) Cos 40 =0.766.

Substituting tan40 value we have:

$0.766=\frac{10}{EG}$

EG=13.05.

C)Sum of angles in triangle is 180.

<E+<F+<G=180

<E+90+40=180

<E+130=180

<E=50 degrees.

D) $Tan 40=\frac{EF}{10}$

EF=8.39

E) Area of triangle EFG= $\frac{1}{2}x base x height.$

A rea of the triangle = $\frac{1}{2}x8.39x13.05$

Area= 54.75 square units.

Mathematics

Look at the cups shown below (images are not drawn to scale): a cone is shown with width 2 inches and height 3 inches, and a cylinder is shown with width 2 inches and height 7 inches. how many more cubic inches of juice will cup b hold than cup a when both are completely full? round your answer to the nearest tenth. 18.8 cubic inches 21.9 cubic inches 25.1 cubic inches 32.6 cubic inches question 9(multiple choice worth 1 points) (03.02 lc) abcd is a rectangle. what is the value of x? rectangle with length 45 feet, width x feet, and diagonal 53

Step-by-step answer

P Answered by PhD

8) 18.8 cubic inches;
9) 28 feet;
10) 1.7 centimeters;
11) 13;
12) 10 centimeters;
13) it is incorrect because the length of the unknown side is the square root of 7,744;
14) square root of 18;
15) 12 miles;
16) 364 centimeters.

Mathematics

1. a right triangle has a leg of 11 cm and a hypotenuse of 17 cm. what is the length of the other leg? round to the nearest tenth. a. 6.0 cm b. 13.0 cm c. 20.2 cm d. 168.0 cm 2. a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotenuse? round to the nearest tenth. a. 8.0 in. b. 19.6 in. c. 34.4 in. d. 1184.0 in. 3. which set of numbers could represent the lengths of the sides of a right triangle? a. 8, 15, 17 b. 12, 18, 22 c. 7,9,11 d. 10, 15, 20 4. which set of numbers could represent the lengths of the sides of

Step-by-step answer

P Answered by PhD

140

This is the answer to your question:
1. a right triangle has a leg of 11 cm and a hypotenuse of 17 cm. what is the length of the other le