Answer:
G'(-4, -3)
G'(3, 4)
G'(-8, 6)
Step-by-step explanation:
Coordinates of the original point G on the graph → (-4, 3)
When the point G is reflected over the x-axis,
Rule to be followed fro the reflection,
(x, y) → (x, -y)
By this rule image of the point G will be,
G(-4, 3) → G'(-4, -3)
Rule for the rotation by 90° clockwise,
(x, y) → (y, -x)
G(-4, 3) → G'(3, 4)
Rule for the translation of 4 units left and 3 units up,
(x, y) → [(x - 4), (y + 3)]
G(-4, 3) → [(-4 - 4), (3 + 3)]
→ (-8, 6)
The volume of the cylinder is 301.44 cm³. We use the radius that is half of diameter length in the formula for the volume of a cylinder.
The formula for the volume of a cylinder is
V = πr²h
Where
A cylinder has
Using π = 3.14, find the volume of the cylinder!
We find the radius of the cylinder.
r = ½d
r = ½(8) cm
r = 4 cm
The volume of the cylinder would be
V = πr²h
V = (3.14)(4)²(6)
V = 18.84 (16)
V = 301.44 cm³
Hence, the volume of a cylinder with the diameter of 8 cm and height of 6 cm is 301.44 cm³.
The correct option is (c).
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Answer:
301.44
Step-by-step explanation:
v=3.14 times radius squared times height
Diameter is the radius times 2
8 the diameter divided by 2 is 4
replace those
v=(3.14)4^2(6)
final answer is 301.44
The probability that the spinner stops at purple and a pink card is selected is 80%.
We have given that,a spinner with 5 equal sectors is shown in the figure.
The spinner has a 1/5 chance of landing on purple, since the number of favorable outcomes is the numerator, and the number of possible outcomes is the denominator.
There are total four cards, which means we have a 1/4 chance of picking pink,
for the samereason as above.
Therefore 1/5 x 1/4 = 4/5
4/5 =0.80= 80% chance.
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b. The equation 2/3(x + 400 + 350) = x can be used to model the situation.
c. Leena consumed 500 calories at dinner.
d. The equation 2/3(x) = x(400 + 300) can be used to model the situation.
e. Leena consumed 1,000 calories at dinner.
f. The equation 2/3x(400 + 300) = x can be used to model the situation.
Only Option 'A' and 'B' are correct.
a) Leena consumed 1,500 calories at dinner.
b) The equation 2/3(x + 400 + 350) = x can be used to model the situation.
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, we have given that
Number of calories she consumed at breakfast = 400
Number of calories she consumed at lunch = 350
Now, Let number of calories she consumed at dinner be x
According to question,
She consumes 2/3 of her daily calories at dinner,
So, it becomes,
1/3 x total = 400 + 350
total = 2250
so, Number of calories she consumed at dinner is given by
2/3 of total = x
2/3 x 2250 = x
x = 1500
And by option 'B' we get,
2/3 (x + 400 + 350) = x
2 (x + 750) = 3x
2x + 1500 = 3x
x = 1500
So, only Option 'A' and 'B' are correct.
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Answer:
the answers are A and B
Step-by-step explanation:
hope i helped
Prime
a(5a + b)
b(5a2)
ab(5a + 1)
Answer:
Option A: Prime
Step-by-step explanation:
1; 56 + 8x = 80
2; 14 = 20 – 8x
3; 2x + 14 = 5
4: 2x = 6
5: x = 3
The equations equivalent to 1/4 (8x + 56) = 20 are
1. 56 + 8x = 80
2.14 = 20 - 8x
4.2x = 6
5. x = 3
An equation is a mathematical expression that shows the relationship between two variables.
Since we have the equation 1/4(8x + 56) = 20, and we want to find all the equations that are equivalent to it, we solve the equation.
So, we proceed as follows.
1/4(8x + 56) = 20
Expanding the brackets, we have
8x/4 + 56/4 = 20
2x + 14 = 20
Subtracting 14 from both sides, we have that
2x = 20 - 14
2x = 6
x = 6/2
x = 3
Also, in 1/4(8x + 56) = 20
Multiplying through by 4, we have that
8x + 56 = 80
2x + 14 = 20
Subtracting 2x from both sides, we have that
14 = 20 - 2x
So, the equations are
1. 56 + 8x = 80
2.14 = 20 - 8x
4.2x = 6
5. x = 3
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