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Vinil7 [7]
4 years ago
13

The area of a trapezoid is given by the formula A =1/2 (b 1 + b 2)h, where base b 1 is parallel to base b 2 and h is the height.

Solve the formula for b 2. Show your work.
Mathematics
1 answer:
Ket [755]4 years ago
7 0
The answer is b2 = 2A/h - b1

A = 1/2(b1 + b2)h

Multiply both sides by 2:
2 * A = 2 * 1/2(b1 + b2)h
2A = (b1 + b2)h

Divide both sides by h:
2A/h = (b1 + b2)h/h
2A/h = b1 + b2

Subtract b1 from both sides:
2A/h - b1 = b1 + b2 - b1
2A/h - b1 = b2


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A kangaroo hops 2 kilometers in 3 minutes. At this rate, how long does it take the kangaroo to travel 5 kilometers?
Mandarinka [93]

Answer: 7.5 minutes (7 min 30 sec)

Step-by-step explanation: If it takes it 3 minutes to travel 2 km, it would take it 1.5 minutes to travel 1 km. So, 1.5 * 5 = 7.5, meaning it would take it 7.5 min to travel 5 km.

7 0
3 years ago
Read 2 more answers
A prism with a base area of 5 ft² and a height of 10 ft is dilated by a factor of 65 . What is the volume of the dilated prism?
mina [271]

Answer:

The volume of the dilated prism is 86.4ft^3.

Step-by-step explanation:

The original prism has base area 5ft^2 and a height of 10ft.

The volume of the original prism is v=5\times 10=50ft^3.

The prism is dilated by a scale factor of k=\frac{6}{5}.

To find the volume of the dilated prism, we multiply the volume of the original prism by k^3=\frac{216}{125}.

V=\frac{216}{125} \times 50ft^3

\Rightarrow V=86.4ft^3

3 0
3 years ago
A line is drawn so that it passes through the points (-3, -1) and (4, 2).
marishachu [46]

Answer:

(A) \boxed{\bold{y=\frac{3}{7}x+\frac{2}{7}}}

(B) \boxed{\bold{2 \ = \ \frac{3}{7} * \ 4 \ + \ \frac{2}{7}  }}

Explanation:

(A) Slope: y = mx + b

m = 3/7

b = 2/7

Slope = \bold{\frac{y_2-y_1}{x_2-x_1}}

\bold{\left(x_1,\:y_1\right)=\left(-3,\:-1\right),\:\left(x_2,\:y_2\right)=\left(4,\:2\right)}

M = \bold{\frac{2-\left(-1\right)}{4-\left(-3\right)}: \ \frac{3}{7} }

Y intercept

\bold{y=\frac{3}{7}x+b}

Plug in \bold{\left(-3,\:-1\right)\mathrm{:\:}\quad \:x=-3,\:y=-1}

\bold{-1=\frac{3}{7}\left(-3\right)+b}

Isolate B

\bold{-1=\frac{3}{7}\left(-3\right)+b}

b = \bold{\frac{2}{7} }

(B) 4 = x, 2 = y

2 = 3/7 * 4 + 2/7

5 0
4 years ago
Read 2 more answers
Ughh i suck at dilation
Ivenika [448]
Look at!!:
Pre image  A(3,4), B(1,5) C(6,6);
If you multiply these coordinates by 3/2, you get its images:

A(3,4)              ⇒ A`(3*3/2, 4*3/2)=(4.5, 6)
B(1,5)              ⇒B`(1.*3/2,  5*3/2)=(1.5, 7.5)
C(6,6)              ⇒C`(6*3/2, 6*3/2)=(9,9)

Therefore the scale factor is 3/2. 
When the scale factor of a dilation is >1, then we have an enlargement, an expansion.
In this case 3/2=1.5>1

Answer: 

The dilation is expansion.
The scale factor is 3/2. 
7 0
3 years ago
AD = 6x - 4 and AC = 4x - 3
salantis [7]

Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

3 0
2 years ago
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