If the acute angles in a right triangle are in the ratio of 5:4 find the measure of the smallest angle

Answers

Answer 1

Answer: Let's create this right triangle. We will call it triangle ABC with angle B as the right angle, angle A being the larger of the angles A and C. If the ratio is 5:4, then it is A:C. 5+4 = 9. The measure of the right angle, angle ABC = 90, and 90 divided by 9 is 10. So angle A is 5 * 10 which is 50 degrees, and angle C is 4 * 10 which is 40 degrees. The smallest angle, angle C, is 40 degrees.

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PLEASE HURRY!Choose all the points that are located on quadrant lV.
Choices:
(-3,-1/4). (6,-9). (-5,3). (2,-4). (-11,5). (7,1/4)
Sorry about the picture it’s not very clear:/

Answers

(6,-9), (2,-4). Quadrant 4 locations are a positive number than a negative number.

Evaluate the following expression 5 + 3 x 7 + (5 - 3)² ÷ (7 - 3)

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5 + 3 x 7 + (5 - 3)² ÷ (7 - 3)
= 5 + 21 + 2² ÷4
=5 + 21 + 4 ÷ 4
=5 + 21 + 1
=27

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y

Answers

Answer:

$y = 6 + x$

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Assuming that the value of y is the total number of flour used in the mixture, then we would need to add both types of flour in order to find the value of y. Since we do not know the amount of white flour used, we will be substituting it for the variable x.

$y = 6 + x$

The Equation above is stating that 6 cups of whole wheat flour added to the amount of white flour will equal the total amount of flour in the mixture.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability of an event E for this experiment, where E is a subinterval [a, b] of [2, 10]. (b) From (a), find the probability that X > 5, that 5 < X < 7, and that X2 − 12X + 35 > 0.

Answers

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is $(1)/(8)$

b) P(X>5) = $\int\limits^10_5 {1/8} \, dx = (5)/(8)$

$P(5<x<7) = (2)/(8) =(1)/(4)$

For

$x^2-12x+35 >0\n(x-5)(x-7)>0\nx<5 or x >7$

P(X<5 or x>7) = 1-P(5<x<7)

= $(3)/(4)$

Final answer:

The density functionof a real number selected randomly within the range [2,10] is 1/8, with the probability of an event being the difference between the two values divided by 8. The probabilities that X is greater than 5, lies between 5 and 7 and that the inequality X^2 - 12X + 35 > 0 always holds are 5/8, 1/4 and 1 respectively.

Explanation:

The subject of this question is probability, particularly continuous uniform distribution. (a) A real number X selected from a certain interval [2, 10] has a continuous uniform distribution. Hence, the density function f(x) = 1/(b-a) = 1/8 for 2 ≤ x ≤ 10 and0otherwise. The probability of an event E, where E is [a,b], is the integral of f(x) from a to b, which is (b-a)/(10-2).

(b) Probability that X > 5 is the integral of f(x) from 5 to 10, which is (10-5)/8 = 5/8. Probability that 5 < X < 7 is the integral from 5 to 7, which is (7-5)/8 = 1/4. Lastly, the inequality X^2 - 12X + 35 > 0 factors out to (X-5)^2 + 10 > 0 which is always true as square number is always non-negative, thus the probability is 1.

Learn more about Probability here:

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What is the formula of LSD in a cuboid?

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Answer: The volume of a cuboid is given by the formula V = LWH, and the surface area of a cuboid is given by the formula SA = 2lh + 2wh + 2lw where l = length, w = width, and h = height.

And i was just learning this a few days back lol

Raphael paid $652 for a camera during a 20% off sale. What was the camera's regular price? Please work the problem and show your work so I can understand it better.

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$x-\ regular\ price\n\nx-(20\%x)=652\n\nx-(0,2*x)=652\n\nx-0,2x=652\n\n0,8x=652\ \ \ \ |divide\ by\ 0,8\n\nx=815\n\nCamera\ earlier\ cost\ 815\$.$

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