1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cluponka [151]
3 years ago
14

Example 15

Mathematics
1 answer:
koban [17]3 years ago
8 0

cos

(

x

)

+

sin

(

x

)

tan

(

x

)

=

sec

(

x

)

You might be interested in
A set of barstools were priced $284.80 after a 20% discount was applied. What was the price of the set of barstools before the d
Lorico [155]

Answer:

  $356.00

Step-by-step explanation:

If d represents the discounted price, and p is the original price, you have ...

  d = p - 20% × p = p(1 -20%) = 0.80p

Then the original price is ...

  p = d/0.80 . . . . . divide by the coefficient of p

  p = $284.80/0.80 = $356.00

The price before the discount was $356.00.

5 0
3 years ago
A new building is being constructed at UT Austin. It is 200 feet tall, and has a
Mariana [72]

Answer:

Walkway is 3 feet wide.

Step-by-step explanation:

Given:

Length of the building is 150 ft

width of the building is 100 ft

walkway is x ft wide.

Total area(around and including the building) = 16536 square feet

Solution:

Length of the total area will be = length of the building + width of walkway from 2 sides = 150 +2x

Width of the total area will be = width of the building + width of walkway from 2 sides = 100 +2x

Now Total area(around and including the building) = Length of the total area\times Width of the total area

(150+2x)\times(100+2x)=16536\\15000+300x+200x+4x^2=16536\\500x+4x^2=16536-15000\\4(125x+x^2)=1536\\125x+x^2= \frac{1536}{4}=384\\

x^2+125x-384=0\\x^2-3x+128x-384=0\\x(x-3)+128(x-3)=0\\(x-3)(x+128)=0\\

Now solving for both equation we get.

x+128=0\\x=-128\\x-3=0\\x=3

Now, We get 2 values for x which -128 and 3 but the width of the building can't be in negative value hence we will consider value of x be 3.

∴ Width of the walkway is 3 ft.

4 0
3 years ago
Read 2 more answers
Evaluate the double integral ∬Ry2x2+y2dA, where R is the region that lies between the circles x2+y2=16 and x2+y2=121, by changin
olga2289 [7]

Answer:

See answer and graph below

Step-by-step explanation:

∬Ry2x2+y2dA

=∫Ry.2x.2+y.2dA

=A(2y+4Ryx)+c

=∫Ry.2x.2+y.2dA

Integral of a constant ∫pdx=px

=(2x+2.2Ryx)A

=A(2y+4Ryx)

=A(2y+4Ryx)+c

The graph of y=A(2y+4Ryx)+c assuming A=1 and c=2

8 0
3 years ago
Dogs in the GoodDog Obedience School win a blue ribbon for learning how to sit, a green ribbon for learning how to roll over, an
tiny-mole [99]

Answer:

  5

Step-by-step explanation:

The 32 that have blue and green ribbons include the 16 that have all three, so there are only 32 -16 = 16 that have only blue and green ribbons.

The 31 that have green and white ribbons likewise include the 16 with all three, so there are only 31 -16 = 15 that have only green and white ribbons.

The 38 that have blue and white ribbons include the 16 with all three, so there are only 38 -16 = 22 that have only green and white ribbons.

__

If we add the numbers of blue, green, and white ribbons, we are counting twice the numbers that have 2 ribbons, and 3 times the numbers that have 3 ribbons. We want to count each kind of ribbon-holder only once. Hence the number of individual dogs with any number of ribbons is only ...

  62 +55 +63 -(16 +15 +22) -2(16) = 95

Of the 100 dogs, 95 have ribbons, so 5 dogs have not learned any tricks.

7 0
4 years ago
What equation is graphed in this figure? A- y−4=−23(x+2) B-y+2=−32(x−2) C-y−3=32(x+1) D- y+1=−23(x−3)
UkoKoshka [18]
B, -y+w=-32(x-2) is the correct answer
8 0
4 years ago
Read 2 more answers
Other questions:
  • *15 POINTS*
    15·2 answers
  • Determine the annual insurance premium for 25/50 liability insurance for a driver having a rating factor of 1.85 if the base pre
    13·1 answer
  • Explain how knowing that five divided by eight equals 0.625 helps you write the decimal for four and five eighth
    5·1 answer
  • Divided the following rational expressions<br> t^3-t^2-2t/t-5 divided by t^2-t-2
    5·1 answer
  • 3
    12·2 answers
  • Cindy wrote the expression 2x + 2x + x + 1 + 1 -4 to represent ari’s distance. Is her expression correct? Explain
    6·1 answer
  • Perform the following division. Be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =
    9·1 answer
  • Whats is the answer for 4x - 10 &lt; 18
    15·2 answers
  • What is please answer 8 to -6
    5·1 answer
  • Two collinear points are given.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!