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solong [7]
2 years ago
7

Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i

mage. What are coordinates of this image?

Mathematics
1 answer:
zavuch27 [327]2 years ago
3 0

Answer:

J'(2,-3), K'(4, -3) and L'(5,-2)

Step-by-step explanation:

The given triangle has vertices at  J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

(x,y)\to (x,-y)

We substitute the points to obtain the coordinates  of the image triangle  J'K'L'

J(2,3)\to J'(2,-3)

K(4,3)\to K'(4,-3)

L(5,2)\to L'(5,-2)

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.  

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An oblique cone has a height equal to the diameter of the base. The volume of the cone is equal to 18π cubic units. An oblique c
Vilka [71]

Answer:

The radius of the cone is 3 units

Step-by-step explanation:

An oblique cone is a kind of slanted cone. It is a figure such that the tip of the cone is not directly over the center of the circular base of the cone.

While the method for calculating the area of an oblique and a right-circular cone is different, the method for calculating the volume is the same

Mathematically, the volume of an oblique cone = 1/3 * pi * r^2 * h

in this question, we have the height and the volume but we want to calculate the radius

substituting the value for the volume, the height and radius( radius is half diameter = 2x/2 = x) we have

18 pi = 1/3 * pi * x^2 * 2x

divide through by pi

18 = 1/3 * 2x * x^2

54 = 2x^3

divide both sides by 2

x^3 = 54/2

x^3 = 27

x = cube root of 27

x = 3 units

This is the length of the radius

6 0
2 years ago
Coffee with sugar and milk added to it can contain up to calories. To consume a maximum of 600 mg if caffeine per day, how many
Marina CMI [18]
We know there is 330 mg of caffeine per 16-ounce serving. So if we want 8-ounce servings:
330 mg : 2 = 165 mg
Also we have to consume a maximum of 600 mg.
165 mg * 3 = 495 mg < 600 mg
165 mg * 4 = 660 mg > 600 mg
Answer: Someone could drink 3 full 8-ounce servings in a day and still stay below the limit.
8 0
2 years ago
Read 2 more answers
A container has 3 apple juice boxes, 4 grape juice boxes, and 5 orange juice boxes. Alex picks one juice box, drinks it and then
Vinil7 [7]
The probability is 10/12. If you need it as a decimal, it should be about 8.3%
5 0
2 years ago
baker has 5\dfrac145 4 1 ​ 5, start fraction, 1, divided by, 4, end fraction pies in her shop. She cut the pies in pieces that a
kupik [55]

Answer:

The answer is "She cut a total of 42 pieces of pie".

Step-by-step explanation:

Given :

Total pie=  5 \frac{1}{4}

cut pie = \frac{1}{8}

The number of pieces of the pie she has=?

Solve the mixed fraction value:

\to 5 \frac{1}{4}= \frac{21}{4}

If she cuts the pieces into the entire pie, that is  = \frac{1}{8}  

So, the equation is:

\to \frac{21}{4} = \frac{1}{8} \times x

\to x= \frac{21 \times 8}{4}\\\\ \to x= 21 \times 2\\\\ \to  x=42

7 0
2 years ago
Question 4 Unsaved Fifty-eight boys were asked if they play football and/or baseball. Thirty-one of them said they do not play b
strojnjashka [21]
The two-way table is attached.

There are 58 people.  31 do not play baseball; this means that 58-31=27 do play baseball.

16 people play football; this means 58-16=42 people do not play football.

20 people do not play football or baseball; 42-20 = 22 people play baseball but do not play football.

27-22=5 people play baseball and football.

16-5=11 people play football but do not play baseball.

5 0
2 years ago
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