MATHEMATICS HIGH SCHOOL

Write each expression in radical form and simplify.

Answers

Answer 1

Answer:

Answer:

The expressions in the image are:

(-1)^(1/3)

27^(1/3)

In radical form, these expressions can be written as:

The cube root of -1, which simplifies to -1.

The cube root of 27, which simplifies to 3.

So, the simplified expressions are -1 and 3 respectively.

Step-by-step explanation:

~~~~~WDFADS~~~~~

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Point W ____ is on segment AB so that AW= 1/5AB
A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park rather than along two sides?
Optimization-Of all rectangles with a perimeter of 10, which one has the maximum area? (Give dimensions)

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs are sold, what's the company's profit?

a)$500
b)$1,450
c)$1,500
d) $2,250

Answers

Hello,

P(x)=20x-50
==>P(75)=20*75-50=1450
Answer B

The correct answer is the second option!

B) $1,450

Just took the test on edgen & got it right! :)

antoine went on vacation to las vegas. his room cost 115.62 each night. his flight there cost $45.70 and his flight. was32.49. he averaged $15.00 per day on food. on the first dat antoine won$75.00 and on the last day he lost $25. if he stayed for 3 nights and 4 days, how much did the entire trip ( including airfare, food , hotel and wining ) cost him ?

Answers

Hotel

He stayed 3 nights, so $115.62 × 3 = $346.86

Airfare

$45.70 + $32.49 = $78.19

Food

He averaged $15 a day, and he stayed 4 days.

$15 × 4 = $60

Winnings

He won $75 but lost $25

$75 - $25 = $50 won.

Adding up all the expenses and winnings, we find that he paid $435.05 for his trip.

1/2 + 3/8
What the answer super easy points

Answers

Answer:

7/8

Step-by-step explanation:

convert 1/2 to 4/8 and add to 3/8

Answer:

1/2 + 3/8 = 7/8

Step-by-step explanation:

i hope this helps you! :)

Lois is 3 years older than Oscar. The sum of their ages is no more than 20. Write an inequality that can be used to represent this situation, where x represents Oscar’s age.

Answers

Let Oscar be x years old
Lois is x+3 years old

ATQ

$\n \sf\longmapsto x+x+3\leqslant 20$

$\n \sf\longmapsto 2x+3\leqslant 20$

$\n \sf\longmapsto 2x\leqslant=17$

$\n \sf\longmapsto x\leqslant (17)/(2)$

Answer:

let Oscar's years be x

• Oscar → x

• Lois → (x+3)

${ \rm{x + (x + 3) \leqslant 20}} \n \n { \boxed{ \rm{2x + 3 \leqslant 20}} }$

a=13 c=15 A=53 Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle at all. Solve each triangle that results.

Answers

Answer:

The given measurement will produce only 1 triangle

Step-by-step explanation:

Given:

a = 13

c = 15

∠A = 53°

now, applying the law of sine, we have

(a/sinA) = (c/sinC)

on substituting the values, we get

(13/sin53°) = (15/sinC)

sinC = 0.921

C = 67.14°

also, sum of all the angles of a triangle = 180°

thus,

∠A + ∠B + ∠C = 180°

53° + 67.14° + ∠B = 180°

∠B = 59.85°

now,

again applying the law of sine, we have

(a/sinA) = (b/sinB)

on substituting the values, we have

(13/sin53) = (b/sin59.85°)

b = 14.07

now, we have all the dimension of the triangle and have obtained the unique values,

Therefore, the given measurement will produce only 1 triangle

In parallelogram LMNO, LM = 4.12, MN = 4, LN = 5, and OM = 6.4. Diagonals and intersect at point R. What is the length of OR?A.2
B.2.06
C.2.5
D.3.2
E.12.8