MATHEMATICS HIGH SCHOOL

All angles are right angles or a triangle has 4 sides.a. Conjunction
b. Disjunction
c. Negation
d. Conditional

Answers

Answer 1
Answer: You know it's not a negation since nothing is being negated. 

You know it's not a conditional because neither statement is reliant on the other to be true or false.

So, the answer must be a or b.

A conjunction implies there is an and which there is not. The solution then must be b. Disjunction, and it is indeed since disjunctions are the "or" statements of logic.

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Which graphs represents the compound inequality x<5/4 or x> 5/2?
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In ΔDEF, the measure of ∠F=90°, ED = 65, DF = 33, and FE = 56. What ratio represents the cosine of ∠D?

Answers

Answer:

33/65

Step-by-step explanation:

Answer:

.51

Step-by-step explanation:

Tony had 1 1/2 gallons of orange juice. He drank 2/7 of the orange juice he had. How mucj orange juice did Tony drink?

Answers

Answer:

(3)/(7)gallon.

Step-by-step explanation:

Amount of orange juice Tony had  is 1(1)/(2) gallons.

Amount of orange juice drank by him is (2)/(7) of the orange juice he had.

To find the amount of orange juice Tony drink, we need to first convert the amount of orange juice Tony had in improper fraction, as the amount of juice he had is given in Mixed fraction.

So, amount of orange juice Tony had is 1(1)/(2) =(3)/(2) gallons.

Now, to find the amount of orange juice Tony drink, we need to multiply (3)/(2) and (2)/(7)

So, amount of juice Tony drink is (3)/(2)* (2)/(7)

=(3)/(7)

Hence, amount of orange juice Tony drink is (3)/(7) gallon.
change 1 1/2 into a improper fraction. then multiply across. so 2 times 3 over 7 times 2. which equals 6/14. then simplify to get 3/7 as your final answer.

Identify each expression that represents the slope of a tangent to the curve y= -x^3+17x^2-x+3 at any point (x,y).

Answers

This is seriously so long I'm not sure it will even fit on a single line. The formula for the derivative using the limiting process is \lim_(h \to 0) (f(x+h)-f(x))/(h). And of course this is a problem because if h approaches 0, we would have a 0 in the denominator of that fraction and that is definitely not allowed! Every x in the function will be replaced with (x+h) to give us this: \lim_(h \to 0) (-(x+h)^3+17(x+h)^2-(x+h)+3)/(h). When we expand that we will get this very long numerator (I'm purposely leaving out the limit as h approaches 0 part to save space): (-(x^3+2x^2h+xh^2+x^2h+2xh^2+h^3)+17x^2+34xh+17h^2-x-h+3-(-x^3+17x^2-x+3))/(h). Simplifying that leaves us with this: (-x^3-2x^2h-xh^2-x^2h-2xh^2-h^3+17x^2+34xh+17h^2-x-h+3+x^3-17x^2+x-3)/(h). We have a lot of terms that cancel each other out so when we do that we are left with \lim_(h \to 0) (-3x^2h-3xh^2-h^3+34xh+17h^2-h)/(h). That is one of your choices for answers, the third one down on the left to be specific. Now we can factor out an h: \lim_(h \to 0) (h(-3x^2-3xh-h^2+34x+17h-1))/(h). That h on the top outside the parenthesis cancels with the h on the bottom. Now, as h approaches 0 we have no problems! Yay! That means when we now replace h with 0, we have this: -3x^2-0-0+34x+0-1, or simplified we have -3x^2+34x-1 which is also a choice for your answers, top one on the right. Those are your 2 answers for that dertivative. It's much simpler when you learn the rules!

Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

Answers

(sec(\beta)-1)/(1-cos(\beta))=sec(\beta)

we know that

sec(\beta)=(1)/(cos(\beta))

then, lets replace it

((1)/(cos(\beta))-1)/(1-cos(\beta))=(1)/(cos(\beta))

multiple each member by cos(\beta)

(1-cos(\beta))/(1-cos(\beta))=1

simplifying

1=1

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side. By simplifying the expression step by step and using trigonometric identities, we can show that the given equation is true.

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side.

  1. Start by finding the common denominator of the fractions on the left side, which is cos(beta).
  2. The expression becomes (sec(beta) - 1)/cos(beta).
  3. Next, simplify the numerator: sec(beta) - 1 = (1/cos(beta)) - 1 = (1 - cos(beta))/cos(beta).
  4. Substituting this back into the original expression, we have (1 - cos(beta))/cos(beta) / cos(beta).
  5. Simplify further by multiplying the numerator and denominator by cos(beta) to get (1 - cos(beta))/(cos^2(beta)).
  6. Using the identity sec^2(beta) = 1 + tan^2(beta), we rewrite cos^2(beta) = 1 - sin^2(beta) as 1/(1 - sin^2(beta)).
  7. Therefore, (1 - cos(beta))/(cos^2(beta)) = (1 - cos(beta))/(1 - sin^2(beta)) = sec(beta).

Thus, we have verified that sec(beta) - 1 / cos(beta) = sec(beta).

Learn more about trigonometric here:

brainly.com/question/31896723

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12.75x+250=18.25x74
can someone help with this?

Answers

Answer:

X = 4402/51 = 86.31

Step-by-step explanation:

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).What is the slope of M′N'?

Answers

First, we calculate the slope of MN:
= (5 - 4) / (3 - 2)
= 1
Dilation does not affect the slope of a line; therefore, the slope of M'N' is also 1.
Thank you for posting your math question here at brainly. The slope of M'N would be 1. Below are the choices that can be found elsewhere:

a. √2
b. 1
c. √3
d. √1/2

Below is the solution 

= (5 - 4) / (3 - 2)
= 1
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