Answer:
281.25 cm^2
Step-by-step explanation:
Given that,
The scale factor of Two similar triangles = 5:2
Area of the smaller rectangle = 45 cm^2
To find,
The Area of the larger rectangle = ?
Procedure:
As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.
(5)^2/(2)^2 = a/45
∵ The area of the larger rectangle = 25/4 * 45
= 281.25 cm^2
A=lw A=370 l=6w-23
370=w(6w-23)
6w^2-23w=370
6w^2-23w-370
Works out to
(W-10) pick this one
+10
W=10
or
(6w+37) is not the answer to choose
-37
6w=-37
/6 /6
W=-6.17
A) 10
B) 10
C) 37
Answer:
C. -4/5 x 8/9
the product of a negative number multiplied by a positive number is always negative
The original price of the car before 4 years will be $23,032.
<h3>What is an exponent?</h3>
Consider the function:
y = P (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, P = original amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
A Naomi's car exponentially depreciates at a rate of 8% per year.
If Nina bought the car when it was 4 years old for $16,500.
Then the original price will be
16500 = P(0.92)⁴
16500 = 0.716P
P = $ 23,032
More about the exponent link is given below.
brainly.com/question/5497425
#SPJ1
A=43°
B=82°
c=28
1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)
2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°
2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3
2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8
Answer: Option B) C=55°, b=33.8, a=23.3
