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3 years ago

If a green light blinks every 4 seconds and a yellow light blinks every 5 seconds. When will both lights blink at the same time?

Mathematics

2 answers:

mixer [17]3 years ago

5 0

Answer:20 seconds

Step-by-step explanation:

4=4,8,12,16,20

5=5,10,15,20

Andre45 [30]3 years ago

4 0

Answer:

20 seconds

Step-by-step explanation:

i think this is right

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A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi

sladkih [1.3K]

The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.

For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.

 (adjacent side) / (hypotenuse) = cosine of the angle.

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7 0

4 years ago

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2x2 – 9x + 2 = –1

Reika [66]

Answer:

C) The discriminant is greater than 0, so there are two real roots

Step-by-step explanation:

Discriminant

$b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0$

$\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}$

$\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}$

$\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}$

$2x^2-9x+2=-1$

$\implies 2x^2-9x+3=0$

$\implies a=2, b=-9, c=3$

$\begin{aligned}b^2-4ac &=(-9)^2-4(2)(3)\\& =81-24\\&=57 > 0\implies \textsf{two real roots}\end{aligned}$

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2 years ago

Evaluate the function y= -3 (1/4) for x =-3 on top of the 1/4 is where the x goes. so it is 1/4 x

earnstyle [38]

$\text{Consider the function}\\
\\
y=-3\left ( \frac{1}{4} \right )^x\\
\\
\text{now to evaluate the value of the function at }x=-3, \text{ we substitute}\\
x=-3 \text{ in the given function and solve further for y.}\\
\\
\text{so we get}\\
\\
y=-3\left ( \frac{1}{4} \right )^{-3}\\
\\
\text{now using the exponent property, }\left ( \frac{1}{a} \right )^{-m}=(a)^m, \text{ we get}\\
\\
y=-3(4)^{3}\\
\\
\Rightarrow y=-3(64)\\
\\
\Rightarrow y=-192$

so the value of the function at x=-3 is -192

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3 years ago

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7nadin3 [17]

Answer:

last one

Step-by-step explanation:

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3 years ago

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Simplify the expression, cos x cotx + sinx

olya-2409 [2.1K]

Answer:

cosec x

Step-by-step explanation:

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3 years ago

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