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Alika [10]
1 year ago
15

question 17 on a number line, point s is located at – 3 and point t is located at 9 . what is the location of point r on s t giv

en that the ratio of s r to r t is 3 : 4 ?
Mathematics
1 answer:
KATRIN_1 [288]1 year ago
7 0

The location of R on the number line will be 15/7.

Number line:

Number line is used for the visual representation of numbers on a straight line.

Basically, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.

Given,

On a number line,

point S is located at – 3 and

point T is located at 9.

Ratio of S and T = 3:4

We need to find the location of point R on S and T.

According to the given details,

The distance from S to T

=> 3 + 9 = 12

Through this we know that,

=> SR + RT = 12 ---------------------(1)

Based on the ratio,

S/T = 3/4

Which is similar to,

SR/RT = 3/4

So,

SR = 3/4 RT -----------(2)

Apply the value of SR on equation (1),

Then

3/4RT + RT = 12

=> 7/4 RT = 12

=> RT = 12 x (4/7)

=> RT = 48/7

Now the location of point R,

=> OT - RT = 9 - 48/7

=> 15/7

Hence "The location of R on the number line will be 15/7".

To know more about Number line Here

brainly.com/question/13425491

#SPJ4

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A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $6400 for a job they just f
aleksklad [387]

Answer:

Apprentice = $800

Journeyman = $1600

carpenter = $4000

Step-by-step explanation:

Let the apprentice earns X dollars.

Then ,

Journeyman will make 200% of apprentice's earning which is 2X.

Also,

Carpenter makes 250% of the earning that journeyman makes.

Which is 2.5(2X) = 5X

Their total earning should come to $6400.

Thus,

X + 2X + 5X = 6400

8X = 6400.

X = $800

So,

Earning of apprentice = X = $800

Earning of Journeyman = 2X = $1600

Earning of carpenter = 5X = $4000

4 0
3 years ago
What would be the answer please explain
sp2606 [1]

Using the line of the best fit, the predicted student's score in English test is 48

<h3>How to determine the student's score in English?</h3>

From the question, we have:

Mathematics score = 60

The scores in English tests are plotted on the y-axis.

On the given graph, we have:

(x,y) = (60,48)

This means that when x = 60, the value of y is 48

This in other words means that the student's score in English test is 48

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6 0
2 years ago
A garden center is running a special on houseplants. A selection of any 2 plants cost $7. If a designer buys 22 plants for new h
Eddi Din [679]

Answer:

77

Step-by-step explanation:

6 0
2 years ago
sume of angles of a triangel greater than 180 degrees when teh triange is so large that it extends to cosmological scales
Vesna [10]

In hyperbolic geometry, the angle sum of a triangle is always less than 180 degrees.

A lune is a wedge of a sphere with angle θ, represented by L(θ) in the proof.

α, β, and γ are the three angles of the triangle.

4πr²+4area[αβγ]=2L(α)+2L(β)+2L(γ)

2(2πr²+2area[αβγ])=2(L(α)+L(β)+L(γ))

2πr²+2area[αβγ]=L(α)+L(β)+L(γ)

At this point, we need to use a theorem that states that a lune whose corner angle is θ radians has an area of 2θr².

2πr²+2area[αβγ]=2αr²+2βr²+2γr²

2πr²+2area[αβγ]=2r²(α+β+γ)

π+area[αβγ]r²=α+β+γ

At this point, it is clear that the sum of the angles is equal to π plus the area[αβγ]r² (which cannot be zero).

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5 0
11 months ago
City A is 10 miles from city B and 5 miles from city C. Cities A, B, and C form a right triangle at A. A road connects cities B
laila [671]

Answer:

11.18 miles

Step-by-step explanation:

The sides of a right triangle a, b, c are related by the equation

a^2 + b^2 = c^2

where c is the longest side of the triangle

Hence given that A connects B and C directly and forms a right angle at A

5^2 + 10^2 = c^2

Where c is the length of the road

25 + 100 = c^2

125 = c^2

c = 125^1/2

= 11.18 miles

3 0
2 years ago
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