30.01.2022

in IJK k=7.2 cm,

. 4

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Mathematics
Step-by-step answer
P Answered by Specialist

6.6

Step-by-step explanation:


In ΔIJK, k = 7.2 cm, ∠J=55° and ∠K=67°. Find the length of i, to the nearest 10th of a centimeter.
StudenGPT
Step-by-step answer
P Answered by Studen AI
To determine which of the given coordinates is located inside triangle IJK, we need to examine the position of each coordinate in relation to the three vertices, I, J, and K.

First, let's plot the coordinates I, J, and K on a coordinate plane:

I is the origin (0, 0).
J is located at (10, 0).
K is located at (0, 10).

Now, let's examine the positions of the given coordinates:

A (8, 6):
Plot the point (8, 6) on the coordinate plane. It falls inside the triangle IJK because it is below the line segment KJ and to the left of the line segment KI.

B (5, 7):
Plot the point (5, 7) on the coordinate plane. It falls outside the triangle IJK because it is above the line segment KJ.

C (6, 8):
Plot the point (6, 8) on the coordinate plane. It falls inside the triangle IJK because it is below the line segment KJ and to the right of the line segment KI.

D (7, 7):
Plot the point (7, 7) on the coordinate plane. It falls inside the triangle IJK because it is below the line segment KJ and falls on the line segment KI.

Therefore, out of the given coordinates, A (8, 6), C (6, 8), and D (7, 7) are located inside triangle IJK.
Mathematics
Step-by-step answer
P Answered by PhD

#1) 4; #2) 12 inches; #3) (-0.8, 2.4); #4) (3.5, 8.75); #5) 32 inches by 64 inches

Explanation:

#1) To get the image points, each pre-image point was multiplied by 4.  This means that the scale factor is 4.

#2) The perimeter of GAME is 177.  We know that three of the sides are 35, 56 and 56.  This means the fourth side, GA, would be

177-(35+56+56) = 177-147 = 30 inches

This means that GA to G'A' would have the same ratio as ME to M'E'; this gives us the proportion

\frac{35}{14}=\frac{30}{x}

Cross multiplying, we have

35(x) = 14(30)

35x = 420

Divide both sides by 35:

35x/35 = 420/35

x = 12

#3) To find the coordinates of I', we multiply the coordinates of I by the scale factor:

I' = (-2(2/5), 6(2/5)) = (-4/5, 12/5) = (-0.8, 2.4)

#4) To find the coordinates of S', multiply the coordinates of S by the scale factor:

S' = (2(7/4), 5(7/4)) = (14/4, 35/4) = (3.5, 8.75)

#5) The generic version is 3/8 the size of the brand name version.  This means that the brand name version is 8/3 of the generic version.  To find the dimensions of the brand name version, we multiply the dimensions of the generic version by 8/3:

12(8/3) = 96/3 = 32

24(8/3) = 192/3 = 64

The dimensions of the generic version are 32 by 64.

Mathematics
Step-by-step answer
P Answered by PhD

#1) 4; #2) 12 inches; #3) (-0.8, 2.4); #4) (3.5, 8.75); #5) 32 inches by 64 inches

Explanation:

#1) To get the image points, each pre-image point was multiplied by 4.  This means that the scale factor is 4.

#2) The perimeter of GAME is 177.  We know that three of the sides are 35, 56 and 56.  This means the fourth side, GA, would be

177-(35+56+56) = 177-147 = 30 inches

This means that GA to G'A' would have the same ratio as ME to M'E'; this gives us the proportion

\frac{35}{14}=\frac{30}{x}

Cross multiplying, we have

35(x) = 14(30)

35x = 420

Divide both sides by 35:

35x/35 = 420/35

x = 12

#3) To find the coordinates of I', we multiply the coordinates of I by the scale factor:

I' = (-2(2/5), 6(2/5)) = (-4/5, 12/5) = (-0.8, 2.4)

#4) To find the coordinates of S', multiply the coordinates of S by the scale factor:

S' = (2(7/4), 5(7/4)) = (14/4, 35/4) = (3.5, 8.75)

#5) The generic version is 3/8 the size of the brand name version.  This means that the brand name version is 8/3 of the generic version.  To find the dimensions of the brand name version, we multiply the dimensions of the generic version by 8/3:

12(8/3) = 96/3 = 32

24(8/3) = 192/3 = 64

The dimensions of the generic version are 32 by 64.

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

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