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andrew-mc [135]
3 years ago
6

Please answer!!!! will make brainliest!!!

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

B

Step-by-step explanation:

1.

  • 3(x+3) - 2 < 4
  • 3x + 9 -2 < 4
  • 3x < 4-7
  • 3x < - 3
  • x < -1
  • x = (-oo, -1)

2.

  • 1 - x ≤ -1
  • - x ≤ -1 - 1
  • -x ≤ -2
  • x ≥ 2
  • x = [2, +oo)

Correct choice is B.

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A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp. Ho
Charra [1.4K]

A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp

The diagram is attached below using the given information

We have two similar triangle

Triangle ACD is similar to triangle ABE. So the sides are in proportional

\frac{DC}{EB} =\frac{AC}{AB}

AC = AB + BC = 3m

\frac{x}{1.8}=\frac{3}{2}

2x = 1.8 * 3 (cross multiply)

2x = 5.4

Divide by 2 on both sides

x = 2.7

Height of Lamppost is 2.7 meter



3 0
3 years ago
Read 2 more answers
Geometry help greatly needed, check photo for more information! &lt;3
vlabodo [156]

Answer:

\huge\boxed{\sf x = 55\°}

Step-by-step explanation:

When a quadrilateral is inscribed in a circle, the opposite angles of it add up to 180 degrees.

Here,

∠DCB + ∠DAB = 180 (Opposite angles of a quad inscribed in a circle.)

<u>Given that:</u> ∠DCB = 135° and ∠DAB = x

135 + x = 180

Subtract 135 to both sides

x = 180 - 135

x = 55°

\rule[225]{225}{2}

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8 0
2 years ago
There are 7 school buses taking students on a field trip. There are 37 students on each bus. How many students are going on the
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Answer:

259 Students

Step-by-step explanation:

So, since there are 37 children in each bus, and 7 busses, we need to multiply the two together.


37\times7 = 259

8 0
3 years ago
Do reflections have the same orientation? In other words, if a shape is reflected, do both figures still have the same orientati
melisa1 [442]

Answer:

I think so.

Step-by-step explanation:

With letters, no, and some shapes would be reversed, like a triangle with lengths that are all different from eachother.

4 0
3 years ago
Calcula en cada caso las restantes razones trigonométricas de un angulo agudo si se conoce que:
olchik [2.2K]
A) cos a = (√22)/5; tan a = (√66)/22
B) sin a = (2√2)/3; tan a = 2√2
C) sin a = (√30)/6; cos a = (√6)/6
D) sin a = 3/5; tan a = 3/4
E) sin a = (5√26)/26; cos a = (√26)/26
F) sin a = 3/5; tan a = 3/4

Explanation
The ratio for sine is opposite/hypotenuse.  This means the side opposite the angle is √3 and the hypotenuse is 5.  Using the Pythagorean theorem to find the adjacent side,
(√3)² + A² = 5²
3+A² = 25
A² = 22
A=√22
This means that cos a = adjacent/hypotenuse = (√22)/5 and tan a = opposite/adjacent = (√3)/(√22) = (√66)/22.
B)  The ratio for cosine is adjacent/hypotenuse; this means the side adjacent to the angle is 1 and the hypotenuse is 3.  Using the Pythagorean theorem to find the side opposite the angle (p),
1² + p² = 3²
1+p² = 9
p² = 8
p=√8 = 2√2
This means that sin a = opposite/hypotenuse = (2√2)/3 and tan a = opposite/adjacent = (2√2)/1 = 2√2.
C) The ratio for tangent is opposite/adjacent; this means that the side opposite the angle is √5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
(√5)²+1² = H²
5+1=H²
6=H²
√6 = H
This means that sin a = opposite/hypotenuse = (√5)/(√6) = (√30)/6 and cos a = adjacent/hypotenuse = 1/(√6) = (√6)/6.
D)  The ratio for cosine is adjacent/hypotenuse; this means that the side adjacent the angle is 4 and the hypotenuse is 5.  Using the Pythagorean theorem to find the side opposite the angle, p:
4²+p²=5²
16+p²=25
p²=9
p=3
This means that sin a = opposite/hypotenuse = 3/5 and tan a = opposite/adjacent = 3/4.
E)  The ratio for tangent is opposite/adjacent;; this means that the side opposite the angle is 5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
5²+1²=H²
25+1=H²
26=H²
√26 = H
This means that sin a = opposite/hypotenuse = 5/(√26) = (5√26)/26 and cos a = adjacent/hypotenuse = 1/(√26) = √26/26.
F) 0.8 = 8/10; The ratio for cosine is adjacent/hypotenuse.  This means that the side adjacent the angle is 8 and the hypotenuse is 10.  Using the Pythagorean theorem to find the side opposite the angle, p:
8²+p² = 10²
64+p² = 100
p² = 36
p=6
This means that sin a = opposite/hypotenuse = 6/10 = 3/5 and tan a = opposite/adjacent = 6/8 = 3/4.
6 0
3 years ago
Read 2 more answers
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