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Olenka [21]
3 years ago
13

Which ratio forms a proportion with 9/15 ? a. 3/6 b. 2/3 c. 12/30 d. 6/10

Mathematics
1 answer:
Veronika [31]3 years ago
4 0
I am pretty sure it is (a) because 9 and 15 and 3 and 6 can be all divided by 3
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Given that P = (-5, 5) and Q = (-13, 6), find the component form and magnitude of 2vector PQ
Andreyy89

ANSWER

Component form:

\binom{ - 16}{2}

2. Magnitude

2\sqrt{65}

EXPLANATION

Given that P = (-5, 5) and Q = (-13, 6),

Vector PQ

=  \binom{ - 13}{6}  -  \binom{ - 5}{5}

=  \binom{ - 13 + 5}{6 - 5}

=  \binom{ - 8}{1}

2 vector PQ

= 2 \binom{ - 8}{1}

=  \binom{ - 16}{2}

This is the component form.

The magnitude is given by

=  \sqrt{ {x}^{2} +  {y}^{2}  }

= \sqrt{ {( - 16)}^{2} +  {2}^{2}  }

=  \sqrt{256  + 4}

=  \sqrt{260}

= 2\sqrt{65}

8 0
3 years ago
SCHOOL PROJECT Green Valley Middle School is
aleksley [76]

Answer:

180 rolls.

Step-by-step explanation:

0.45x = 81

x = 81/0.45

x = 180

3 0
3 years ago
What triangle can be obtuse?
True [87]

Answer:

Isosceles and scalene triangles can both be obtuse.

3 0
3 years ago
BRAINLIEST!!!!
valkas [14]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The area of the triangle is 55.4256 ft².

<h3>What are Trigonometric functions?</h3>

The trigonometric function gives the ratio of different sides of a right-angle triangle.

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

For the given triangle the length of AB and BC can be written as,

\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Sin(30^o) = \dfrac{AB}{AC}\\\\\\AB = Sin(30^o) \times 16 \\\\\\AB=8\rm\ ft

Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Cos(30^o) = \dfrac{BC}{AC}\\\\\\BC = Cos(30^o) \times AC\\\\\\BC = 13.8564\rm\ ft

Now, the area of the triangle is,

Area of triangle = 0.5× 8 × 13.8564 = 55.4256 ft²

Hence, the area of the triangle is 55.4256 ft².

Learn more about Trigonometric functions:

brainly.com/question/6904750

#SPJ1

5 0
3 years ago
Raj gets a 1.5 mile head start and runs at a rate of 4.5 miles per hour. Jacinda's progress is represented by a graph that goes
Alexxandr [17]
From the given ordered pair representing Jacinda's progress, her speed is equal to 10 miles per hour. Letting x be the time it takes for Jacinda to catch up with Raj, the total distance Raj would travel is 
                            1.5 + 4.5x
and Jacinda's total distance is 10x. Mathematically,
                                1.5 + 4.5x = 10x 
The value of x from the equation is 0.27 hours. Therefore, Jacinda needs to run 2.7 miles to catch up with Raj. 
6 0
3 years ago
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