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4 years ago

8

Johnny bought 6 movie tickets and spent $54 of the tickets he bought 3/6 were children tickets that cost $8 each. The other tick

ets were adult tickets . How much does one adult ticket cost

1 answer:

kenny6666 [7]4 years ago

7 0

3 multiplied by 8 is 24
54 - 24 equals 30
30 divided by 3 is 10
Each adult ticket costs $10

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A number written in the form of p by Q is called

Vsevolod [243]

Answer:

Rational number

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If a number is expressed in the form of p/q then it is a rational number. Here p and q are integers, and q is not equal to 0. A rational number should have a numerator and denominator.

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3 years ago

In one weekend, 2,400 people attend a play at the theater downtown. A survey of 150 people who attended found that 85 gave the p

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Step-by-step explanation: 85 is 56.67 percent of 150

56.67 percent of 2,400 is 1360 so 1360 people gave the play at least 4 stars

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3 years ago

6 More Than a Number is 14 what is the number?

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Answer:

8

Step-by-step explanation:

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3 years ago

Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest

Anton [14]

Answer:

a) ∠ABC = 54°

a) ∠ABC = 43°

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

<u>Part (a)</u>

Use the cos trig ratio to find an expression for the measure of BD:

$\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}$

$\implies \sf BD=24.3\cos (38^{\circ})$

Use the cos trig ratio and the found length of BD to find angle ABD:

$\sf \implies \cos(ABD)=\dfrac{BD}{19.9}$

$\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)$

$\sf \implies \angle ABD=15.79446612...^{\circ}$

Therefore:

$\sf \implies \angle ABC=\angle ADB + 38^{\circ}$

$\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}$

$\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)$

<u>Part (b)</u>

Use the tan trig ratio to find angle CAD:

$\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}$

$\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)$

$\implies \sf \angle CAD=33.5110188...^{\circ}$

Therefore:

$\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}$

$\sf \implies \angle BAD=46.5110188...^{\circ}$

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

$\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}$

$\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}$

$\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)$

4 0

3 years ago

The figure below shows a partially completed set of steps to construct a rhombus PQRS:

boyakko [2]

Student 1 was correct. When compass is placed at M and width is adjusted to L, that distance between M and L corresponds to the angle ∠LQM. Therefore the distance between L and M should be equal to the distance between N and point T which is to be constructed. IF the distance LM = NT then the angles ∠LQM and ∠NPT are equal . these are corresponding angles which means that PT and QR are parallel.
PT straight segment is extended. Since opposite sides in a rhombus should be equal, the compass width is adjusted to QR and compass is placed on P to mark the distance of where point S will line on the extended PT line. This is so that PS = QR.
hence, a line PS is drawn that is parallel to QR and equal in length

8 0

3 years ago

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