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kotykmax [81]
3 years ago
5

Find the area of the rhombus. 

Mathematics
2 answers:
Fudgin [204]3 years ago
6 0

Remember that the formula for the area of a rhombus is \dfrac{pq}{2}, where p and q are the diagonals of the rhombus.


We can already find that one diagonal has length 6 (based on the fact that the diagram shows that half of the diagonal is 3). However, we will need to find the length of the other diagonal in order to find the area.


Also note that the diagonals in a rhombus are perpendicular to each other, meaning that they form a right angle. Based on this fact, we can realize that a triangle forms with one side being the side of the rhombus (length 5), another side being one half of the unknown diagonal, and another side being half of the known diagonal (length 3). This right triangle has a hypotenuse of 5 and a smaller side of 3, which means that the other side must be 4. This can be determined by the Pythagorean Theorem (the length of the larger leg will be coined x):

3^2 + x^2 = 5^2

x^2 = 16

x = 4


Since we have determined one half of our unknown diagonal is 4, we can then realize that the length of the entire diagonal is 8. Using this and the fact that the length of the other diagonal is 6, we can finally find the area of our rhombus:

\dfrac{6 \cdot 8}{2} = \boxed{24}


The area of the rhombus is 24 units^2.

Inessa [10]3 years ago
3 0

A=24


Find the area by multiplying both diagonals and dividing them by 2. Like so: And you might be wondering how to do that. By using the pythagorean theorem and some simple addition, you could get the answer. One diagonal is 8 and the other is 6....so, 8x6=48....48/2=24


Please let me know if you have any other questions!


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dolphi86 [110]
Hello!

First you have to find what the temperature was at the 3 stages

It started at 87

Then went down 10

87 - 10 = 77

Then up 17

77 + 17 = 94

Then you take the difference from the current temperature from the lowest temperature

94 - 77 = 17

The answer is D

Hope this helps!
5 0
3 years ago
Read 2 more answers
I need help pls someone
Solnce55 [7]

In this question they've given us the formula and they just want us to plug in the numbers and get the value.


P is the original value, P=$600


r is the depreciation rate, r=10%=0.1


t is the time in years, t=2


A = P(1-r)^t = 600(1 - 0.1)^2 = 600 \cdot .9^2 = 486


Answer: $486






7 0
3 years ago
A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num
elena-s [515]

168 is the least common multiple of 6,7,and 8


8 0
3 years ago
(15.2*0.25-48.51/14.7)/x=(13/44-2/11-5/66/2.50)1.2/(3.2+0.8(5.5-3.25)
goldfiish [28.3K]

Answer:

x = 41.67

Step-by-step explanation:

The above equation, would be simplified or divided into parts;

Therefore, the given equation becomes;

A/x = B/C

Where;

A = (15.2*0.25-48.51/14.7)

B = (13/44-2/11-5/66/2.50)1.2

C = 3.2+0.8(5.5-3.25)

x = unknown variable.

<u>Part A</u>

(15.2*0.25-48.51/14.7) = (15.2*0.25 - 3.3)

A = (3.8 - 3.3)

A = 0.5

<u>Part B</u>

(13/44-2/11-5/66/2.50)1.2 = (0.3 - 0.18 - 0.030) * 1.2

B = 0.09 * 1.2

B = 0.108

<u>Part C</u>

(3.2+0.8(5.5-3.25)

C = 4*(2.25)

C = 9

<em>Substituting the values into the equation, we have;</em>

0.5/x = 0.108/9

<em>Cross-multiplying, we have;</em>

9 * 0.5 = 0.108x

4.5 = 0.108x

x = 4.5/0.108

x = 41.67

6 0
2 years ago
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
aliya0001 [1]

Answer:

5507.79 feet

Step-by-step explanation:

To find the height of the mountain, we can draw triangles as in the image attached.

Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.

Then, we can use the tangent relation of the angles:

tan(34) = h/x

tan(31) = h/(x+1000)

tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:

h/x = 0.6745 -> x = h/0.6745

using this value of x in the second equation:

h/(x+1000) = 0.6009

h/(h/0.6745 + 1000) = 0.6009

h = 0.6009 * (h/0.6745 + 1000)

h = 0.8909*h + 600.9

0.1091h = 600.9

h = 600.9 / 0.1091 = 5507.79 feet

8 0
3 years ago
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