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Effectus [21]
3 years ago
13

Solve.10.8 - (-6.4) ×3​

Mathematics
2 answers:
Artist 52 [7]3 years ago
4 0

Answer:

51.6

Step-by-step explanation:

10.8 - -6.4 is 17.2

17.2 x 3 is 51.6

gayaneshka [121]3 years ago
4 0

Answer:

30

Step-by-step explanation:

PEMDAS

Multiply -6.4 × 3 = -19.2

New equation: 10.8 - (-19.2)

the subtraction symbols cancel each other to addition

new equation: 10.8 + 19.2 = 30

the picture is from M A T H W A Y for reassurance

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A spherical balloon is being inflated at a rate of 3 cubic inches per second. Determine the change in the rate of the radius.How
Novay_Z [31]

Answer:

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

The radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Consider the provided information.

A spherical balloon is being inflated at a rate of 3 cubic inches per second.

The volume of sphere is V=\frac{4}{3}\pi r^3

Differentiate the above formula with respect to time.

\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}

Substitute the respective values in the above formula,

3=4\pi 6^2\frac{dr}{dt}

\frac{1}{48\pi}=\frac{dr}{dt}

The rate rate of change of radius is \frac{1}{48\pi} inches per second when the diameter is 12 inches.

When d=16

3=4\pi 8^2\frac{dr}{dt}

\frac{3}{256\pi}=\frac{dr}{dt}

Thus, the radius is changing more rapidly when the diameter is 12 inches.

5 0
3 years ago
Step by step how to factor:<br> 2y^2+9y+9=0
weeeeeb [17]
Use ac method
for ax²+bx+c=0 when a≠1


multiply a and c, let's call the product r
what 2 numbesr multiply to get r and add to get b


2y²+9y+9=0
2*9=18
wat 2 numbers multiply to get 18 and add to get 9
3 and 6
split it up to that

2y²+3y+6y+9=0
group
(2y²+3y)+(6y+9)=0
factor
y(2y+3)+3(2y+3)=0
undistribute
(y+3)(2y+3)=0
set to zero

y+3=0
y=-3

2y+3=0
2y=-3
y=-3/2


y=-3 and -3/2
it's factored form is (x+3)(2x+3)
7 0
3 years ago
The figure shows three quadrilaterals on a coordinate grid:
Salsk061 [2.6K]

Answer:

Q and W are similar but not congruent.

Step-by-step explanation:

5 0
3 years ago
Are irrational number? justify the reaason !!!! 5√32
sleet_krkn [62]

Answer:

  • The given number is irrational.

Step-by-step explanation:

It is known that \sqrt{2} is irrational.

Given number can be converted as:

  • 5\sqrt{32} =
  • 5\sqrt{16*2} =
  • 5\sqrt{16}*\sqrt{2}  =
  • 5*4*\sqrt{2}  =
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Since \sqrt{2} is irrational, 20\sqrt{2} is also irrational (<em>the product of an irrational number and a rational number is irrational</em>), so the given number is irrational.

3 0
2 years ago
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side l
maxonik [38]

Answer:

The question is not complete, below is the completed question:

These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.

1. Triangle G and Triangle F

2. Triangle G and Triangle B

3. Triangle B and Triangle F

4. Triangle F and Triangle H

5. Triangle G and Triangle H

6. Triangle H and Triangle B

Answer:

1. Triangle G and Triangle F  = 4 times

2. Triangle G and Triangle B  = 0.2 times

3. Triangle B and Triangle F  = 16 times

4. Triangle F and Triangle H  = 0.11 times

5. Triangle G and Triangle H  = 0.44 times

6. Triangle H and Triangle B = 0.56 times

Step-by-step explanation:

using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles

1. Area of Triangle = \frac{base\ \times\ height}{2}

F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2}  = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}

To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first

1. Triangle G and Triangle F  = 24:6 = 4

∴ The area of triangle F is 4 times larger than triangle G

2. Triangle G and Triangle B  = 3/2 : 6 = \frac{1}{4} = 0.2

∴ The area of triangle B is 0.2 times larger than triangle G

3. Triangle B and Triangle F  = 24 : \frac{3}{2} = 16

∴ The area of triangle F is 16 times larger than triangle B

4. Triangle F and Triangle H  = \frac{8}{3} : 24 = \frac{1}{9} = 0.11

∴ The area of triangle H is 0.11 times larger than triangle F

5. Triangle G and Triangle H = \frac{8}{3} : 6 = \frac{4}{9} = 0.44

∴ The area of triangle H is 0.44 times larger than triangle G

6. Triangle H and Triangle B = \frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56

∴ The area of triangle B is 0.56 times larger than triangle H

6 0
3 years ago
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