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antiseptic1488 [7]
3 years ago
14

Ayuda por favor! Lo necesito urgente!!!

Mathematics
1 answer:
expeople1 [14]3 years ago
3 0
Es hora be comer!!!!!
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3. List the angles of the triangle in order from smallest to largest.
Veseljchak [2.6K]

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

6 0
3 years ago
What is 1-2sin^2x=sinx <br> Please show steps and find all solutions in interval [0,2pi)
Svetlanka [38]

Answer:

\large\boxed{x=\dfrac{3\pi}{2}\ \vee\ x=\dfrac{\pi}{6}\ \vee\ x=\dfrac{5\pi}{6}}

Step-by-step explanation:

1-2\sin^2x=\sin x\\\\\text{substitute}\ t=\sin x,\ t\in[-1,\ 1]\\\\1-2t^2=t\qquad\text{subtract t from both sides}\\\\-2t^2-t+1=0\qquad\text{change the signs}\\\\2t^2+t-1=0\\\\2t^2+2t-t-1=0\\\\2t(t+1)-1(t+1)=0\\\\(t+1)(2t-1)=0\iff t+1=0\ \vee\ 2t-1=0\\\\t+1=0\qquad\text{subtract 1 from both sides}\\\boxed{t=-1}\\\\2t-1=0\qquad\text{add 1 to both sides}\\2t=1\qquad\text{divide both sides by 2}\\\boxed{t=\dfrac{1}{2}}

\sin x=-1\to x=-\dfrac{\pi}{2}+2k\pi,\ k\in\mathbb{Z}\\\\\sin x=\dfrac{1}{2}\to x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi,\ k\in\mathbb{Z}\\\\x\in[0,\ 2\pi)

x=-\dfrac{\pi}{2}\notin[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+2\pi=\dfrac{3\pi}{2}\in[0,\ 2\pi)\\\\x=-\dfrac{\pi}{2}+4\pi=\dfrac{7\pi}{2}\notin[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{\pi}{6}+2\pi=\dfrac{13\pi}{6}\notin[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}\in[0,\ 2\pi)\\\\x=\dfrac{5\pi}{6}+2\pi=\dfrac{17\pi}{6}\notin[0,\ 2\pi)

4 0
3 years ago
1. A sphere is sliced so that the cross section does not intersect the center of the sphere.
stich3 [128]
1. The shape of cross-section is a circle.
2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,

A = L*H = 12*6 = 72 cm^2

3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).

Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2

4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.

Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm
8 0
3 years ago
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What is the slope of the equation, y=3/4x +9
viktelen [127]

Answer:

3/4

Step-by-step explanation:

4 0
3 years ago
Ayush scored 720 marks out of900. And his brother scored 630 out of 700. whose perfomance is better​
tresset_1 [31]

Answer:

in my opinion anush has the better performance

8 0
3 years ago
Read 2 more answers
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