Solve the triangle.B = 73°, b = 15, c = 8
Select one:
a. C = 35.9°, A = 71.3°, a ≈ 15.2
b. C = 30.7°, A = 76.3°, a ≈ 15.2
c. C = 30.7°, A = 76.3°, a ≈ 21.3
d. Cannot be solved
Answers
b / sin B = c / sin C
C = arcsin (c * sin B / b)
C = 30.7°
Since interior angles of a triangle always add up to 180°, we can use this to solve for angle A:
angle A = 180° - 73° - 30.7°
angle A = 76.3°
Having solved for angle A, we can solve for side a using the sine law.
a / sin A = b / sin B
a = b * sin A / sin B
a = 15.2
Therefore, the correct answer is B.
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Which statement describes a ratio?A. Jason paid $4 for tomatoes.B. A rectangle has a length of 6 centimeters.C. For every 2 red candies in a bag, there are 3 green candies.D. A printing shop offers a 25% discount off the cost of making copies.
Easy - lots of points!! For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
9x ≥117 which numbers below belong to the solution set of the inequality
A right triangle has legs with lengths 20 cm and 21 cm.What is the length of the hypotenuse? ---------------------- cm
Answers
Final answer:
The element in group 15 and period 4 of the periodic table is Arsenic (As), which is classified as a metalloid due to its mixed properties of metals and non-metals.
Explanation:
The element that is found in group 15 and period 4 on the periodic table is Arsenic (As). Group refers to the vertical column and period refers to the horizontal row on the periodic table.
Arsenic belongs to the 'p-block' group of the periodic table and it is classified as a metalloid. This means it has properties of both metals and non-metals. For example, arsenic is brittle (like a non-metal) but can also conduct some electricity (like a metal).
Learn more about Arsenic here:
#SPJ11
Answer:
Arsenic
Step-by-step explanation:
Periods are vertical, groups are horizontal
Answers
Answer: y = 3x + 60
Step-by-step explanation:
Set up two equations and solve the system:
270 = 70x + b
- (150 = 30x + b)
120 = 40x
3 = x
Input "x" into one of the equations and solve for "b":
150 = 30x + b
150 = 30(3) + b
150 = 90 + b
60 = b
Equation: y = 3x + 60
This means that there is a flat fee of $60 plus a rate of $3 per student
The fixed rate of gym fee of $60 plus a rate of $3 per student.
The fixed-rate is;
Given
I rent a gym for $150.00 for 30 students.
Another time I rent the gym for $270.00 for 70 students.
Linear function;
A linear function is a function that forms a straight line in a graph.
Let x be the number of students and y be the total cost of renting the gym.
To find the fixed-rate let us write the equation of line representing the total cost of renting a gym for x students.
The equation representing a fixed rate is;
I rent a gym for $150.00 for 30 students.
Another time I rent the gym for $270.00 for 70 students.
Subtracting both the equations;
Substitute the value of x in equation 1
Therefore,
The fixed-rate is;
Hence, the fixed rate of gym fee of $60 plus a rate of $3 per student.'
To know more about linearfunction click the link given below.
Step by step explanation please.
Answers
Answer:
I think it's the second formula.
Step-by-step explanation:
Let x be the original price.
The discount rate is 20%
Sale Price is $68.90
Discount = 20% of x = 0.2x
Using the formula, Sale Price = Original Price - Discount,
Original Price - Discount is x-0.2x = 0.8x
$68.90 = 0.8x
From here on, just do the equation :) Hope this helps!
Answers
y = 20000 + 0.3 * x
her base salary: 20000
her percent commission: 0.3 = 30%
The correct result would be 20000 and 30%.
The percent of commission is 30%: 30% * x = (30/100) * x = 30 * x/100 =
= 0.3 * x = 0.3x
So the total salay is the base salary + the commissions = 20000 + 0.3x
Answers
(2x-6) (2x-6)
If you don't know what FOIL is let me know and I can further explain it!
This also applies for the second question!
Question 4 options:
18x^4 – 12x^2 = 6x(3x^3 – 2x)
12x^5 + 8x^3 = 2x^3(6x^2 + 4)
20x^3 + 12x^2 = 4x^2(5x + 3)
24x^6 – 18x^5 = 6x^5(4x – 3)
Answers
1)False 18x^4-12x²=6x(3x^3-2x)=6x²(3x²-2)
2) False 12x^5+8x^3=2x^3(6x²+4)=4x^3(3x²+2)
3)True 20x^3+12x²=4x²(5x+3)
4)True 24x^6-18x^5=6x^5(4x-3)
4)