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ELEN [110]
3 years ago
10

Point R divides Line EF in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and

Mathematics
1 answer:
larisa [96]3 years ago
4 0
The horizontal distance between E and F is:
dx = 11 - 4 = 7

The vertical distance between E and F is:
dy = abs (4 - 8) = 4

Since the ratio is 1:5, that means there are 6 equal parts of line EF. Dividing the distances by 6,
dx/6 = 1.1667
dy/6 = 0.6667

Since point R is located below and to the right of point E, we add dx/6 to the x coordinate and subtract dy/6 from the y coordinate of E:
R(4+1.1667, 8-0.6667) = R (5.17, 7.33)

The answer is the 3rd option.
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What is the area of △JKL in square units? KJL is a triangle. The angle J is 94 degree and the angle L is 26 degree. Side JK is 2
Tamiku [17]

Answer:

426.07 square units

Step-by-step explanation:

Recall that for a triangle whose angles are A,B,C  with corresponding sides a, b, c, the area G of the triangle may be computed as

G = 1/2 ab Sin C

or

G = 1/2 bc Sin A

or

G = 1/2 ac Sin B

Going by this, recall that the sum of angles in a triangle is 180 hence

94 + 26 + K = 180

120 + K = 180

Subtract 120 from both sides

K = 180 - 120

K = 60 degrees

Given that JK = 24 and JL = 41

G = 1/2 * 24 * 41 Sin 60

= 426.07 square units

8 0
3 years ago
Problem #18
Arisa [49]

Answer:

<h2> 40in^3</h2>

Step-by-step explanation:

Step one:

given data

dimension of the box

lengh= 5 in

width= 2 in

height =4 in

Required

the volume of the box

the expression for the volume is

V=L*W*H

V=5*2*4

V=40 in^3

Hence the volume of sand the box can take is 40in^3

6 0
3 years ago
The quantities x and y in a ratio are called
lbvjy [14]

Answer:

The graph relates the temperature change

y

(in degrees Fahrenheit) to the altitude change

x

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a. Is the relationship proportional? Explain.

b. Write an equation of the line. Interpret the slope.

c. You are at the bottom of a mountain where the temperature is

74\F

. The top of the mountain is 5500 feet above you.

What is the temperature at the top of the mountain?

Step-by-step explanation:

6 0
3 years ago
Breanna wrote a number that is 4 units from 0 on the number line.
Hatshy [7]
The two answers are -4 and 4, because 0-4 is -4 and 0+4 is 4. Hope this helps
5 0
3 years ago
Two sets of quadratic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2:
Serga [27]
Its line 1

if we expand the second and third expressions they come back to the first.

The last one is called the vertex form of a parabola
5 0
3 years ago
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