Answer:
B) 28.53 unit²
Step-by-step explanation:
The diagonal AD divides the quadrilateral in two triangles:
- Triangle ABD
- Triangle ACD
Area of Quadrilateral will be equal to the sum of Areas of both triangles.
i.e.
Area of ABCD = Area of ABD + Area of ACD
Area of Triangle ABD:
Area of a triangle is given as:
Base = AB = 2.89
Height = AD = 8.6
Using these values, we get:
Thus, Area of Triangle ABD is 12.43 square units
Area of Triangle ACD:
Base = AC = 4.3
Height = CD = 7.58
Using the values in formula of area, we get:
Thus, Area of Triangle ACD is 16.30 square units
Area of Quadrilateral ABCD:
The Area of the quadrilateral will be = 12.43 + 16.30 = 28.73 units²
None of the option gives the exact answer, however, option B gives the closest most answer. So I'll go with option B) 28.53 unit²
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
We let x and y be the measures of the sides of the
rectangular garden. The perimeter subtracted with the other side should be
equal to 92.
<span> 2x + y = 92</span>
The value of y in terms of x is equal to,
<span> y =
92 – 2x</span>
The area is the product of the two sides,
<span>
A
= xy</span>
Substituting,
<span> A
= x (92 – 2x) = 92x – 2x2</span>
Solving for the derivative and equating to zero,
<span> 0
= 92 – 4x ; x = 23</span>
Therefore, the area of the garden is,
<span> A
= 23(92 – 2(23)) = 1058 yard<span>2</span></span>
Answer:
The value of x for the given expression is 
Step-by-step explanation:
Given as :
The statement is , three fourths times x plus five fourths equals four times x
So, 
× x + 
= 4 × x
<u>Now, rearranging the equation</u>
i.e 4 x - × x =
Or, 4 x - 
=
Or, 
=
Or, 
=
Or, 13 x = × 4
Or, 13 x = 5
∴ x =
Hence, The value of x for the given expression is Answer
Add all the new budget amounts:
510 + 254 + 295 + 51 + 0 + 100 + 100+ 0 + 100 = 1410
Her monthly total is 1410, which is less than her income of 1700
1700 - 1410 = 290
She has $290 extra each month.
So she can divide that amount by 2 to put an equal amount in each blank category, or add what ever amount less than that into each one.
