It is 80 !!!!!!! That’s the number
Answer:
9 + 7 = 16
9 - 7 = 2
9/7 = 1.28571429
9 x 7 = 63
Step-by-step explanation:
have a good day
Answer:
<em>Answers below</em>
Step-by-step explanation:
<u>Equation</u>
Let's call:
p = number of pennies Janesa has in her pocket
n = number of nickels Janesa has in her pocket
She has 24 coins in total, thus:
![p + n=24\qquad\qquad [1]](https://tex.z-dn.net/?f=p%20%2B%20n%3D24%5Cqquad%5Cqquad%20%5B1%5D)
Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:
Multiplying by 100:
![p+5n=100\qquad\qquad [2]](https://tex.z-dn.net/?f=p%2B5n%3D100%5Cqquad%5Cqquad%20%5B2%5D)
A. Completing the equation:
B.
From [1]:
Substituting into [2]:
Simplifying:
Rearranging:
B. There are 5 pennies in Janesa's pocket
C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05
The total value of the pennies is $0.05
D. The total value of the nickels is 19*$0.05 = $0.95
E. Jackson should say she has 19 nickels and 5 pennies
Answer:
<u>Identities used:</u>
- <em>1/cosθ = secθ</em>
- <em>1/sinθ = cosecθ</em>
- <em>sinθ/cosθ = tanθ</em>
- <em>cosθ/sinθ = cotθ</em>
- <em>sin²θ + cos²θ = 1</em>
<h3>Question 1 </h3>
- (1 - sinθ)/(1 + sinθ) =
- (1 - sinθ)(1 - sinθ) / (1 - sinθ)(1 + sinθ) =
- (1 - sinθ)² / (1 - sin²θ) =
- (1 - sinθ)² / cos²θ
<u>Square root of it is:</u>
- (1 - sinθ)/ cosθ =
- 1/cosθ - sinθ / cosθ =
- secθ - tanθ
<h3>Question 2 </h3>
<u>The first part without root:</u>
- (1 + cosθ) / (1 - cosθ) =
- (1 + cosθ)(1 + cosθ) / (1 - cosθ)(1 + cosθ)
- (1 + cosθ)² / (1 - cos²θ) =
- (1 + cosθ)² / sin²θ
<u>Its square root is:</u>
- (1 + cosθ) / sinθ =
- 1/sinθ + cosθ/sinθ =
- cosecθ + cotθ
<u>The second part without root:</u>
- (1 - cosθ) / (1 + cosθ) =
- (1 - cosθ)²/ (1 + cosθ)(1 - cosθ) =
- (1 - cosθ)²/ (1 - cos²θ) =
- (1 - cosθ)²/sin²θ
<u>Its square root is:</u>
- (1 - cosθ) / sinθ =
- 1/sinθ - cosθ / sinθ =
- cosecθ - cotθ
<u>Sum of the results:</u>
- cosecθ + cotθ + cosecθ - cotθ =
- 2cosecθ
180 m
Step-by-step explanation:
Information given:
- length of Mrs. Flores' garden= 20 m
- width of Mrs. Flores' garden = 15 m
- Scale factor = 3
Since scale factor is 3, to get measurements of sides Mr. Sosa's garden, sides of Mrs. Flores's have to be multiplied by 3. Hence,
- length of Mr. Sosa's garden= 3×20= 60 m
- width of Mr. Sosa's garden= 3×15= 45 m
Diagonal of a rectangle = √length²+width²
Let Diagonal = D,
D= √60²+45²
=√3600+2025
=√5625
=75 m
If Mr. Sosa cut his garden diagonally,
perimeter= length+width+diagonal
=60+45+75=180 m
