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UNO [17]
2 years ago
14

Cho hình hộp chữ nhật ABCD A B C D

Mathematics
1 answer:
JulijaS [17]2 years ago
6 0

Answer:

A B C D

A×B×C×D

3×3×3×6

162

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Find the area of the regular polygon
Vsevolod [243]

Answer:

433.4

Step-by-step explanation:

Height will be (14/2)/tan36 which is 9.63, then area for one triangle is 1/2*hb which is .5*9.63*7 is 43.34, times 10 you get 433.4

7 0
3 years ago
What’s the vertex form of F(x)=x^2+2x-3
kupik [55]

Answer:

\large\boxed{f(x)=(x+1)^2-4}

Step-by-step explanation:

\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================

\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================

\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4

4 0
3 years ago
Marianna is painting a ramp for the school play in the shape of a right triangular prism. The ramp has dimensions as shown below
garri49 [273]
32 and 44 I hope I got it right
6 0
3 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary.
kakasveta [241]

Answer:

x ≈ 52.1°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{KL}{LM} = \frac{36}{28} , then

x = tan^{-1} (\frac{36}{28} ) ≈ 52.1° () to the nearest tenth )

6 0
3 years ago
Please help asap it will help very much
qwelly [4]

Answer:

180 cm²

Step-by-step explanation:

From inspection of the diagram, the surface area is made up of the area of 4 congruent triangles and the area of one square.

Area of a square = x² (where x is the length of one side)

⇒ area of the square = 6² = 36 cm²

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 6 x 12 = 36 cm²

Total surface area = 4 x area of one triangle + area of the square

                               = 4 x 36 + 36

                               = 144 + 36

                               = 180 cm²

5 0
3 years ago
Read 2 more answers
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