Given the triangle below, which of the following equations correctly representsthe relationship between a, b, and c?Triangle not drawn to scale A cz B az 2abcos (90.)b a2 c2 2abcos (90.)
Answers
The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
c² = a² + b² - 2ab*cosC
Where a, b and c are the sides, while C is the angle opposite to side c.
In the triangle ABC, C = 90°, hence:
c² = a² + b² - 2ab * cos(90)
The equation that correctly represents the relationship between a, b, and c in the triangle is c² = a² + b² - 2ab * cos(90)
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The steps to solving the expression the quantity of the sum of four squared plus six divided by the absolute value of negative 0.25 − 12.6 ÷ 6 are listed below.Part A: Explain what the missing expression should be for Step 4. (2 points) Part B: Explain what the missing expression should be for Step 6. (2 points) Step 1 the quantity of the sum of four squared plus six divided by the absolute value of negative 0.25 − 12.6 ÷ 6 Step 2 the quantity of the sum of four squared plus six divided by 0.25 − 12.6 ÷ 6 Step 3 the quantity of the sum of 16 plus six divided by the 0.25 − 12.6 ÷ 6 Step 4 Step 5 88 − 12.6 ÷ 6 Step 6 Step 7 85.9 100 brainly points
What is the approximate circumference of a circle with a radius of 30 inches? Use π ≈ 3.14.A.62.8 inches B.188.4 inches C.47.1 inches D.94.2 inches
Answers
Answer:
1) 2x = x + 15
Step-by-step explanation:
The two parallel lines and one bisecting line makes these two angles equal so you can set the values equal to each other to solve for x
Answers
3m - 6 = -12 + 2m
+6 +6
--------------------------------
3m = -6 + 2m
-2m -2m
-----------------------
1m = -6
/1 /1
m = -6
m + 2m - 6 = -12 + 2m
3m - 6 = -12 + 2m (combined like terms)
3m - 2m - 6 = -12 + 2m - 2m (subtracted 2m on both sides)
m - 6 + 6 = -12 + 6 ( added 6 on both sides)
m = -6
Hope this helps :)
Answers
Final answer:
We need to know about profit and loss in order to solve the problem. The cost of one shirt is $12.80, the amount of money Mrs. Jackson received after selling all t-shirts is $2,998.50, the total profit made is $1,078.50 and the profit percentage is 56.17%.
Explanation:
We know that Mrs. Jackson bought 150 t-shirts for $1920, we need to first find the cost of one t-shirt, we can do that by dividing the total cost by the number of t-shirts.
Cost of one = 1920 / 150 = $12.80
Next we need to find the total selling price of all the t-shirts given that each t-shirt is sold at $19.99
Total selling price = 150 × $19.99 = $2,998.50
The total profit made by Mrs. Jackson can be calculated by subtracting the cost price from the selling price.
Profit = $2,998.50 - $1,920 = $1,078.50
The profit percentage with respect to the cost price can be calculated as
Profit percentage = ($1,078.50 / $1,920) × 100 = 56.17%
Therefore, the cost of one shirt is $12.80, the amount of money Mrs. Jackson received after selling all t-shirts is $2,998.50, the total profit made is $1,078.50 and the profit percentage is 56.17%.
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The question above was incomplete. Refer below for the entire question.
Mrs. Jackson bought 150 T-shirt for 1920 from a factory.
i) calculate the cost of one T-shirt
The T-shirt are sold at $19.99 each.
Calculate
ii) the amount of money Mrs. Jackson received after selling All of T-shirt.
iii) the TOTAL profit made
iv) the profit made as a percentage of the cost price, giving your answer correct to the nearest whole number.
Final answer:
The amount Mr. Jack received after selling all the T-shirts is $1920.
Explanation:
In order to find out the amount Mr. Jack received after selling all the T-shirts, we need to determine the selling price of each T-shirt. To do this, we divide the total amount Mr. Jack spent on the T-shirts ($1920) by the number of T-shirts he bought (150). The selling price per T-shirt is $12.80.
Now, to find the amount Mr. Jack received after selling all the T-shirts, we multiply the selling price per T-shirt ($12.80) by the number of T-shirts he bought (150). The amount Mr. Jack received after selling all the T-shirts is $1920.
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Answers
Answer:
$44.81
Step-by-step explanation:
43.50 * 0.03 = 1.305
$43.50 + 1.305 = 44.805 = $44.81
a. one solution
b. two solutions
c. no solution
d. infinite solutions
Answers
a. one solution
A.
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
B.
Square ABCD is reflected across the x-axis and then dilated by a scale factor of 2 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
C.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
D.
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
Answers
Square ABCD is rotated 270° clockwise and then dilated by a scale factor of 1/3 to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
Square ABCD is dilated by a scale factor of 4/5 and then translated 1 unit right to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
Square ABCD is translated 8 units right and 8 units up and then reflected across the y-axis to form square AꞌꞌBꞌꞌCꞌꞌDꞌꞌ.
The answers are letters A, C and D