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4 years ago

Explain which is faster: 10 centimeters/5 seconds or 10 centimeters/20 seconds.

Mathematics

2 answers:

Diano4ka-milaya [45]4 years ago

5 0

Answer:

10 centimetre / 5 seconds

Step-by-step explanation:

10 cm / 5 sec means that you are travelling 10 cm every 5 seconds. Or 2 cm every 1 seconds. ( Divide by 5).

10 cm / 20 seconds means that you are travelling 10 cm every 20 seconds. Or 0.5 cm ever 1 second. (Divide by 20)

Trava [24]4 years ago

5 0

10 centimeters/5 seconds would be faster because even though they traveled the same distance, this one did it in a shorter amount of time. They only took 5 seconds to go 10 centimeters, while the other took 20.

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The ratio of the measure of the acute angle in a right triangle is 1/2 . Find the measures of the two angles

AleksandrR [38]

30° and 60°.

<h3>Further explanation</h3>

We will solve the problem of the measures of angles in the triangle.

Recall this condition:

The acute angle ⇒ an angle of less than 90°.
The right angle ⇒ an angle of exactly 90°.
A right triangle ⇒ a triangle in which one angle is a right angle.
The interior angles ⇒ the angles inside a triangle.
All the interior angles in a triangle , i.e., $\boxed{ \ \angle A + \angle B + \angle C = 180^0 \ }$

<u>Given that:</u>

The ratio of the measure of the acute angle in a right triangle is ¹/₂.

<u>Question:</u>

Find the measures of the two angles.

<u>The Process:</u>

We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.

From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.

Let's arrange the three angles in ABC triangle as follows:

$\boxed{ \ 90^0 + x + 2x = 180^0 \ }$

Both sides subtracted by 90°.

$\boxed{ \ x + 2x = 180^0 - 90^0 \ }$

$\boxed{ \ 3x = 90^0 \ }$

Both sides divided by 3.

We get $\boxed{ \ x = 30^0 \ }$

We substitute the value of x back into B and C.

$\boxed{\boxed{ \ \angle B = x\ } \rightarrow \boxed{ \ \angle B = 30^0 \ }} \\\boxed{\boxed{ \ \angle C = 2x\ } \rightarrow \boxed{ \ \angle C = 60^0 \ }}$

We have succeeded in getting the measures of the two angles.

<h3>Learn more</h3>

Undefined terms needed to define angles brainly.com/question/3717797
What is 270° converted to radians brainly.com/question/3161884
A triangle is rotated 90° about the origin brainly.com/question/2992432

Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles

4 0

3 years ago

Read 2 more answers

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam

avanturin [10]

Let "a" and "s" represent the costs of advance and same-day tickets, respectively. Your problem statement gives you two relations.
.. a + s = 35 . . . . . the combined cost of one of each is 35
.. 15a +40s = 900 . . total paid for this combination of tickets was 900

There are many ways to solve these equations. You've probably been introduced to "substitution" and "elimination" (or "addition"). Using substitution for "a", we have
.. a = 35 -s
.. 15(35 -s) +40s = 900 . . substitute for "a"
.. 25s +525 = 900 . . . . . . . simplify
.. 25s = 375 . . . . . . . . . . . .subtract 525
.. s = 15 . . . . . . . . . . . . . . .divide by 25
Then
.. a = 35 -15 = 20

The price of an advance ticket was 20.
The price of a same-day ticket was 15.

6 0

4 years ago

Domain:<br> Range:<br> Function:

Zarrin [17]

4.3, for Domain
Range 2.4
Function: 4/6

4 0

4 years ago

Trigonometric Identities and Applications?

alex41 [277]

21)

$\bf 8cos^2(\theta )-3cos(\theta )=0\implies \stackrel{common~factor}{cos(\theta )}[8cos(\theta )-3]=0\\\\
-------------------------------\\\\
cos(\theta )=0\implies \measuredangle \theta =cos^{-1}(0)\implies \measuredangle \theta =90^o\\\\
-------------------------------\\\\
8cos(\theta )-3=0\implies 8cos(\theta )=3\implies cos(\theta )=\cfrac{3}{8}
\\\\\\
\measuredangle \theta =cos^{-1}\left( \cfrac{3}{8}\right)$

22)

$\bf \begin{cases}
y=cos(2x)\\
y=cos^2(x)-1
\end{cases}\implies \stackrel{intersection~at}{cos(2x)=cos^2(x)-1}
\\\\\\
2cos^2(x)-1=cos^2(x)-1\implies 2cos^2(x)-1-cos^2(x)+1=0
\\\\\\
2cos^2(x)-cos^2(x)=0\implies cos^2(x)=0\implies cos(x)=0
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\measuredangle \theta =cos^{-1}(0)\implies \measuredangle \theta =180^o~~,~~270^o$

4 0

3 years ago

1. The dimensions of a triangular prism are shown in the diagram.

solniwko [45]

Answer:

V=850√3cm³

Step-by-step explanation:

These are dimensions of the triangular prism:

a=10cm

H=34cm

V=BH

B= a²✓3/4 (:4)

B=10²√3/4

B=100√3/4

B=25√3cm²

H=34 cm

And you get volume by this formula

V=BH

V=25√3* 34

V=850√3cm³

6 0

3 years ago