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umka21 [38]
2 years ago
12

NEED HELP ASAP 15 POINTS

Mathematics
1 answer:
NeX [460]2 years ago
4 0
Use the app Socratic it helps!!
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What is the perimeter of rhombus WXYZ?<br><br> units<br> 12 units<br> units<br> 20 units
timama [110]
Let O be the intersection of the vertical line through ZX, and the horizontal line through YW. 

The coordinates of this point are clearly (5, 2) as it is at the same x-coordinate as X and Z, and y-coordinate as Y and W.


So, YZO is a right triangle. By the Pythagorean theorem:

ZY= \sqrt{{YO}^2+{OZ}^2}= \sqrt{2^2+3^2}= \sqrt{4+9}= \sqrt{13}.


Since all sides of a rhombus are equal, then the perimeter is :

                               P(XWZY)=4 \sqrt{13} units.


Answer: third choice.

5 0
3 years ago
Helen's house is located on a rectangular lot
Aleonysh [2.5K]

Answer:

0ne mile

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The diameter of a Frisbee is 12 in. What is the area of the Frisbee?
Alina [70]

we know that

Area of the circle is equal to

A=\pi r^{2}

where

r is the radius

in this problem

diameter=12\ in \\ radius=diameter/2\\ radius=12/2\\ radius=6\ in

A=3.14* 6^{2}

A=113.04 in^{2}

therefore

the answer is the option

d. 113.04 sq. in.

8 0
3 years ago
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Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's hou
Rudiy27

The elevation of the plane is 3600 ft

Let

  • h = elevation of plane,
  • d = distance from Marsha's house to spot on ground below plane = 3600 feet and
  • Ф = angle of elevation of plane = 45°

From the triangle, we have the trigonometric ratio

tanФ = h/D

<h3>Elevation of the plane</h3>

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

brainly.com/question/26380084

7 0
2 years ago
Country days scholarship rounds receive a gift of $135000. The money is invested in stock, bonds, and CDs. CDs pay 2.75% interes
Vsevolod [243]

Answer:

  • CDs — $10,000
  • bonds — $80,000
  • stocks — $45,000

Step-by-step explanation:

Let the variables c, b, s represent the dollar amounts invested in CDs, stocks, and bonds, respectively. Then the problem statement gives us 3 relations between these 3 variables:

  c + b + s = 135000 . . . . . . . . . . . . . . . . . total invested

  0.0275c +.045b +0.104s = 8555 . . . . . total income earned

  -c + b = 70000 . . . . . . . . . . . . . . . . . . . . . 70,000 more was in bonds than CDs

Using the third equation to write an expression for b, we can substitute into the other two equations.

  b = 70000 +c . . . . . . . . . . . . . . . . expression we can substitute for b

  c + (70000 +c) +s = 135000 . . . . substitute for b in the first equation

  2c +s = 65000 . . . . . . . . . . . . . . . . [eq4] simplify

  .0275c +.045(70000 +c) +.104s = 8555 . . . . . substitute for b in 2nd eqn

  .0725c +.104s = 5405 . . . . . . . . . . [eq5] simplify

Using [eq4], we can write an expression for s that can be substituted into [eq5].

  s = 65000 -2c . . . . . . . expression we can substitute for s

  0.0725c +0.104(65000 -2c) = 5405

  -0.1355c = -1355 . . . . . . . . . . . . . . . . . . . . subtract 6760, simplify

  c = 1355/.1355 = 10,000

  s = 65000 -2×10000 = 45,000

  b = 70000 +10000 = 80,000

The amounts invested in stocks, bonds, and CDs were $45,000, $80,000, and $10,000, respectively.

_____

Alternatively, you can reduce the augmented matrix for this problem to row-echelon form using any of several calculators or on-line sites. That matrix is ...

\left[\begin{array}{ccc|c}1&1&1&135000\\0.0275&0.045&0.104&8555\\-1&1&0&70000\end{array}\right]

6 0
3 years ago
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