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Vika [28.1K]
3 years ago
12

In a rhombus, the sides are 14 inches long. two intersecting sides form a 60 degree angle. what are the exact lengths of the two

diagonals
Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0
Long Diagonal AD = Square Root  (2•Side² + 2•Side² • cos(A) )
Long Diagonal AD = <span>Square Root (2*14^2 + </span><span>2*14^2 * cos(60) )
</span><span><span>Long Diagonal AD = Square Root (</span> 392 + 392*.5)
</span>Long Diagonal AD = <span>Square Root (392 + 196)
</span>Long Diagonal AD = Square Root (588)<span>
Long Diagonal AD = </span><span><span><span>24.248711306 </span> </span> </span> <span>

Short Diagonal BC = Square Root  (2•Side² - 2•Side² • cos(A) )
</span><span>Short Diagonal AD = Square Root ( 392 - 392*.5)
</span><span>Short Diagonal AD = Square Root ( 392 - 196)
</span>Short Diagonal AD = Square Root (196)
<span>Short Diagonal AD = 14

</span>
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Rom4ik [11]

Answer:

17.6 ounces to make the pecan pies. I dont know how much honey she used to make the apple pie so if you could pls say I could edit the answer :)

Step-by-step explanation:

4 0
3 years ago
What is the mapping rule for a 45 degree rotation?
sleet_krkn [62]

Step-by-step explanation:

Imagine a line segment on a coordinate plane that rotates around the origin like a clock hand. If it travels 45° (or any positive degree angle), it will travel in a counterclockwise direction. If it rotates -45° degrees (or any negative degree angle), it will travel in a clockwise direction.

8 0
3 years ago
Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring
Andrei [34K]

Answer:

Matt will need 10176  square quilts to cover the wall

Step-by-step explanation:

To answer this perfectly, we will have to first convert everything to the same unit.

dimensions of the quilt squares = 3 inches

Length of the wall = 1 yard = 36 inches

Breadth of the wall = 212 feet = 2544 inches.

The next step, is to find the area of the wall that Matt is covering.

Area of wall = length X breadth = 36 X 2544 = 91584in ^{2}

We will also find the area of the square quilts. This is given as length X length = 3^{2}=9 in^{2}

to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts

= 91584 /9 = 10176 quilts

Matt will need 10176 quilts to cover the wall

5 0
3 years ago
12x - 2y = -1<br>+ 4x + 6y= -4<br>​
svp [43]

Answer:

x = -7/40 , y = -11/20

Step-by-step explanation:

Solve the following system:

{12 x - 2 y = -1 | (equation 1)

4 x + 6 y = -4 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:

{12 x - 2 y = -1 | (equation 1)

0 x+(20 y)/3 = (-11)/3 | (equation 2)

Multiply equation 2 by 3:

{12 x - 2 y = -1 | (equation 1)

0 x+20 y = -11 | (equation 2)

Divide equation 2 by 20:

{12 x - 2 y = -1 | (equation 1)

0 x+y = (-11)/20 | (equation 2)

Add 2 × (equation 2) to equation 1:

{12 x+0 y = (-21)/10 | (equation 1)

0 x+y = -11/20 | (equation 2)

Divide equation 1 by 12:

{x+0 y = (-7)/40 | (equation 1)

0 x+y = -11/20 | (equation 2)

Collect results:

Answer:  {x = -7/40 , y = -11/20

6 0
3 years ago
how much money has to be invested at 3.3% interest compounded constinuously to have $45,00 after 19 years
Sedaia [141]
P=$24038.60 has to be invested to have $45000 after 19 years
3 0
3 years ago
Read 2 more answers
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