How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

Answer 1

Answer: The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle, A² + B² = C²

But A = B and C = 24 .

2A² = (24)²

A² = (24)² / 2

But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 .

Answer 2

Answer: $45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.$

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Please help me!!! i'll give brainliest if you're correct :)

Answers

Answer:

x = 14

BE = 6

Step-by-step explanation:

to find 'x': BG = 1/2[(x-9) + (3x-13)]

BG = 4x-22 / 2

BG = 3x-25

3x-25 / 1 = 4x-22 / 2

cross-multiply:

4x-22 = 2(3x-25)

4x-22 = 6x-50

-2x = -28

x = 14

to find 'BE': CB = BE

2x+4 = 7x-1

-5x = -5

x = 1

BE = 7(1) - 1

BE = 6

What is the slope of the line that passes through the points (4,-3) and (8,-3)

Answers

the slope is 0.

the line is y = -3

Marcus is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the rectangle is 80 feet . The ratio of the width to the length is 3 to 5. What are the dimension of the rectangle (please help) & show work please

Answers

Ratio of width to length: W/L = 3/5
5W = 3L .........(a)

Perimeter = 2*(L+W) = 80

2*(L+W) = 80
(L+W) = 80/2. Divide both sides by 2.
L+W= 40......(b)

5W = 3L

L + W = 40 Multiply both sides by 5.
5*(L+W) = 5*40
5L+5W = 200. Recall from (a) 5W = 3L
5L + 3L = 200
8L = 200
L = 200/8
L = 25.

5W = 3L
5W = 3*25
W = 3*25/5
W = 15.

Therefore, the length, L = 25 and width , W = 15.

3.) Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Check all that apply.The vertex form of the function is f(x) = (x – 2)2 + 2.
The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.

Answers

Find the vertex of the parabola given by the formula $f(x) = 6x - 4 + x^2$ :

$f(x) = 6x - 4 + x^2=x^2+2\cdot x\cdot 3-4=x^2+2\cdot x\cdot 3+3^2-3^2-4=(x+3)^2-9-4=(x+3)^2-13.$

1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.

2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.

3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.

4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.

5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.

It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.

What is the Graph of a Function?

The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).

In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:

Recommendation Engines
Path Optimization Algorithms
Social Graphs
Knowledge Graphs
Scientific Computations

Learn more about the Graph of a Function at:

brainly.com/question/24335034

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

Answers

Given:
1st fraction - 7/24
2nd fraction - 34/48

Rules in dividing fractions:

1) Get the reciprocal of the 2nd fraction.
34/48 becomes 48/34

2) Multiply the 1st fraction to the reciprocal of the 2nd fraction
7/24 * 48/34 = 7*48 / 24*34 = 336/816

3) Simplify the fraction
336/816 ⇒ 112/272 ⇒ 56/136 ⇒ 14/34 ⇒ 7/17

336 ÷ 3 = 112
816 ÷ 3 = 272

112 ÷ 2 =   56
272 ÷ 2 = 136

56 ÷ 4 = 14
136 ÷ 4 =   34

14 ÷ 2 =    7
34 ÷ 2 =   17

7/24 ÷ 35/48 = 7/17

7/24 ÷ 35/48

= 7/24 × 48/35. 7 into 35 is 5. 24 into 48 is 2.

= 2/5

Perry observes the opposite , parallel walls of a room. In how many lines do the planes containing the walls intersect

Answers

zero i believe would be the answer.

The walls don't intersect because they are parallel.

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