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2 years ago

The sum of two numbers is 33. One number is 27 more than the other one. Find the numbers.

Mathematics

2 answers:

Masteriza [31]2 years ago

8 0

Answer:

30 3

Step-by-step explanation:

30 is 27 numbers more than 3

jok3333 [9.3K]2 years ago

3 0

Step-by-step explanation:

a+b = 33

a-b = 27

______+

2a = 60

a = 30

b = 33-30 = 3

so, the numbers are : 30 and 3

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3. Given the directed line segment AB, with endpoints A20, 6) and B(-16, 50), find the point Q

garri49 [273]

The point Q that partitions the line segment is Q(2,28)

Given that the directed line segment AB, with endpoints A(20, 6) and B(-16, 50) and divide the segment into a 1:1 ratio.

A line segment is a part of a line bounded by two distinct endpoints and containing all the points of the line segment between its endpoints.

We will find the point Q by using the section formula that is

Q(x,y)=((mx₂+nx₁)/(m+n),(my₂+ny₁)/(m+n))

The given ratio is m:n=1:1 and the points (x₁,y₁)=(20,6) and (x₂,y₂)=(-16,50).

Firstly, we will find the point Q for x-axis, we get

Q(x)=(mx₂+nx₁)/(m+n)

Q(x)=(1×(-16)+1×20)/(1+1)

Q(x)=(-16+20)/2

Q(x)=4/2

Q(x)=2

Now, we will find the point Q for y-axis, we get

Q(y)=(my₂+ny₁)/(m+n)

Q(y)=(1×50+1×6)/(1+1)

Q(y)=(50+6)/2

Q(y)=56/2

Q(y)=28

The point Q that partitions the line segment is Q(x,y)=(2,28)

Hence, point Q partitions this segment into a 1:1 ratio with directed line segment AB, with endpoints A(20, 6) and B(-16, 50) is Q(2,28).

Learn more about the line segment from here brainly.com/question/9034900

#SPJ9

8 0

2 years ago

Write an equation in slope intercept form with the given information slope=10 and goes through point (1,5)

avanturin [10]

Y-y1=m(x-x1)
y-5=10(x-1)
Y-5=10x-10
Y=10x-5

5 0

3 years ago

WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION? GIVE AN EXAMPLE OF AN APPLICATION USING THE

Makovka662 [10]

Angles of Elevation and Depression are used in measuring heights and distances in trigonometric applications using right triangles. These angles are made when we look up or down to view objects. Devices are available to measure angles of elevation and depression. These measured angles can be used in measuring heights and distance which are either tedious or impractical to measure, by modelling the situation into right triangles

6 0

3 years ago

Read 2 more answers

Duane and mick are saving their money to build a tree house. Duane adds $5 to their piggy bank every other week. Mick adds $2 er

Furkat [3]

10 weeks
Duane adds $5 every other week so that's 5 weeks out of 10. 5 x 5 = 25
Mick adds $2 every week so,
2 x 10 = 20

25 + 20 = 45

8 0

3 years ago

Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation

Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0

3 years ago