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pickupchik [31]
3 years ago
15

Erica drew the parallelogram below. Which expression can Erica use to find

Mathematics
1 answer:
svp [43]3 years ago
5 0

Area of the parallelogram = (base length) x (height)

<u>Step-by-step explanation:</u>

The parallelogram has 2 different sides.

To find:

The expression to calculate the area of parallelogram.

Base of the parallelogram= 5(1/4) in.

Height of the parallelogram= 4(1/5) in.

Area of the parallelogram= base x height

= 5(1/4) x 4(1/5) = 1 square inches.

So, the expression to calculate the area of the parallelogram is,

 Area = (base length) x (height)

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5+2 root 3 / 7+4 root 3 =a-6root3
STALIN [3.7K]

Answer:

<h2>a = 11</h2>

Step-by-step explanation:

\dfrac{5+2\sqrt3}{7+4\sqrt3}\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\qquad\text{use FOIL}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-(16)(3)}=\dfrac{(35-24)+(-20\sqrt3+14\sqrt3)}{49-48}\\\\=\dfrac{11-6\sqrt3}{1}=11-6\sqrt3

8 0
3 years ago
For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations. If she has 22 travelers check
loris [4]
A] The expression of the number of $20 will found as follows:
given that the number of $10 is x, 
The total number of denominations is 22, then the number of $20 will be given by the equation:
22-x

b] The total number of each denomination will be evaluated as follows:
total amount of money will be given by the equation:
10*x+20(22-x)=300
solving for x:
10x+440-20x=300
10x-20x=300-440
-10x=-140
thus
x=-140/(-10)
x=14 
thus the number of $10 denominations was 14 and the number of $20 denominations was 22-14=8

3 0
3 years ago
The width of a rectangle measures (5.9b+2.3) centimeters, and its length measures (3.3b+1.8) centimeters. Which expression repre
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4 0
3 years ago
A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du
lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180

∠C = 180 - 126

∠C = 54°

The sine rule states that for a triangle with sides a, b, c and their corresponding opposite angles A, B and C. The following rule holds:

\frac{a}{sin(A)}= \frac{b}{sin(B)}= \frac{c}{sin(C)}

b = length of beginning of submarine to end point. Using sine rule:

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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