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Bumek [7]
3 years ago
7

Use ΔDEF, shown below, to answer the question that follows

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
Using sine rule, 55 / sin 90 = x / sin(90 - 49)
55 / 1 = x / sin 41
x = 55 sin 41 = 36.08
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James is placing an order for four for his bakery. The company he purchases from charges $25 for the first bag and $5 for each a
VARVARA [1.3K]

Answer:

A: CxB= Total

A: (4x19)x5+25=$405

Step-by-step explanation:

First you would find the total of all of the 4 bags. Witch would be 4x19=76. Then you would multiply that by shipping cost 76x5=380. Lastly you would add the $25 380+$25= 405. Think that is right. Hope this helps!

4 0
3 years ago
Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form. HELP PLEASE!!
Nataliya [291]

Answer:

  • Perimeter = 22*sqrt(2)
  • Area = 60.5 inches
  • D

Step-by-step explanation:

Remark

You need 2 facts.

  1. A square has 4 equal sides.
  2. It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

  • a^2 + a^2 = c^2
  • 2a^2 = c^2

Givens

  • c = 11

Solution

  • 2a^2 = 11^2
  • 2a^2 = 121                    Divide by 2
  • a^2 = 121/2                  Take the square root of both sides
  • sqrt(a^2) = sqr(121/2)    
  • a = 11/sqrt(2)                Rationalize the denominator
  • a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
  • a = 11 * sqrt(2) / 2

<em><u>Perimeter</u></em>

P = 4s

  • P = 4*11*sqrt(2)/2
  • P = 44*sqrt(2)/2
  • P = 22*sqrt(2)

You don't need the area. The answer is D

<em><u>Area</u></em>

  • Area = s^2
  • Area = (11*sqrt(2)/2 ) ^2
  • Area = 121 * 2 / 4
  • Area = 60.5


8 0
3 years ago
The functions f(x) and g(x) are described below: f(x) = 7x + 9 g(x) = 7x −4 The graph of g(x) is obtained by shifting down the g
Slav-nsk [51]
Correct Answer:
Option A

Solution:

f(x) = 7x + 9
g(x) = 7x - 4

We can re-write g(x) as:

g(x) = 7x + 9 - 13

Since 7x+9 is equal to f(x), we can write:

g(x) = f(x) - 13

This relation shows that g(x) is obtained by shifting f(x) 13 units vertically down. So the correct answer is option A.
6 0
3 years ago
There are 18 bikes in a bike rack. There are 4 more blue bikes than yellow bikes,and 2 less yellow bikes than green bikes.how ma
Phoenix [80]
Y+4= x blue bikes
G-2= x yellow bikes

4y+4= 8 blue bikes
4y+2= 6 green bikes
4y= 4 yellow bikes

8 blue bikes
+
6 green bikes
+
4 yellow bikes
=
18 bikes total
5 0
3 years ago
The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televis
Scorpion4ik [409]

Answer: 3000 in^2

Explanation:

8 0
3 years ago
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