A B and C from a triangle where BAC =90 AB = 7.4 mm and CA = 12 and find the length of AC , giving your answer rouned to 1DP
Answers
Question: A B and C form a triangle where BAC = 90°. AB = 7.4 mm and CA = 12 mm. Find the length of BC, giving your answer rounded to 1 DP.
Answer:
14.1 mm
Step-by-step explanation:
From the diagram attached,
Using pythagoras theorem,
a² = b²+c²............... Equation 1
From the attached file,
Given: a = x, b = 7.4 mm, c = 12 mm
Substitute these values into equation 1, and solve for x
x² = 7.4²+12²
x² = 54.76+144
x² = 198.76
x = √(198.76)
x = 14.1 mm
Hence, the length of BC = 14.1 mm
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Select all that apply:
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(-6, -4)
(-2, -2)
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(2, 0)
(4, 1)
(2, 6)
Answers
The solutions are the points that belong to the line, these are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
Which of the points are solutions to the graph?Here we can see that we have the graph of a linear equation. The given points would be solutions if the points lie on the graphed line.
Remember that for a point (x, y), x is the value you need to look in the horizontal axis and y is the value that you need to look on the vertical axis.
Then, from the given points the ones that are on the graphed line are:
(-6, -4)
(-2, 2)
(-1, 0)
(2, 6)
All these points are on the line, thus, are solutions.
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Answer:
Answer B.Step-by-step explanation:
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Answer:
Neither
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Jordan earned $200 this month delivering newspapers. His mom said he must put 20% into his savings account. He wants to buy headphones that cost $ 99.95 and two shirts that cost \$17 each. He also has to pay 7% sales tax on his purchases . Jordan said, "No problem. I will put 20% into savings , buy the things I want, and still have about $10 left." Use estimation to determine if Jordan's calculation is reasonable. Show your work.
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Answer:
Yes, his calculation is reasonable. He will have about $16.67 left.
Step-by-step explanation:
200 - (200 * .2) = $160 Subtract money for savings
99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes
160 - 143.33 = $16.67 Subtract money for purchases from money left after savings
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What are the x-intercepts of the parabola?
graph of parabola falling from the left, passing through 2 comma 3 to about 4 comma negative 1, and rising to the right, passing through 6 comma 3
(0, 3) and (0, 5)
(0, 4) and (0, 5)
(3, 0) and (5, 0)
(4, 0) and (5, 0)
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Answer:
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Step-by-step explanation:
A snow storm hit Sanford
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hours. What was the rate of
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Answer:
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Step-by-step explanation:
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Write an equation to represent the situation: Last summer, Gary trained 14
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Answers
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
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Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
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Answer:
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Step-by-step explanation:
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Use the table to identify values of p and g that can be used to factor
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g
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р
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3
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The required value of p and q for the factor of the expression x² - 4x - 12 is -6 and 2.
Correct option is (C).
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
x² - 4x - 12.
To determine the factor, solve the expression,
x² - 6x + 2x - 12
x(x - 6) + 2(x - 6)
Take (x - 6) common,
(x - 6)(x + 2)
According to the given condition, the factors are (x + p)(x + 1)
Compare the values,
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The values of p and q are -6 and 2.
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Step-by-step explanation:
You are in your backyard with your pets. In one area, you count 108 legs. You count 41
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Write a system of equations (make sure to define your variables first!), and then solve
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Step-by-step explanation:
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Answers
Answer:
34 trabajadores.
Step-by-step explanation:
Supongamos que el empresario tiene N trabajadores, y tiene la cantidad de dinero D para pagarles cada día.
Si el empresario decide pagarle 50 a cada trabajador le faltan 110.
Esto se puede reescribir como:
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(50 por número de empleados es igual que el dinero que tiene más lo que le falta para pagar)
También sabemos que si pagara 45 a cada empleado, le sobraría 60.
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50*N = D + 110
45*N = D - 60
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Step-by-step explanation:
Giving the following information:
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10% interest rate:
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