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
OleMash [197]
3 years ago
9

At a certain time of day, the sun causes objects to cast shadows at a 65° angle with the ground. At this time of day, a flagpole

Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer:

D   19 feet

Step-by-step explanation:

Let x = height of flagpole

tan 65 = x/9

9tan 65 = x

x = 19.3 ≅ 19 ft. to the nearest foot

You might be interested in
1 Solve the compound inequality 4x&gt;-16 or 6x &lt;-48<br>​
Yuliya22 [10]

Answer:

Step-by-step explanation:

4x > -16 reduces to x > -4:  All numbers greater than x = -4 (shaded area to the right of -4).

6x < -48 reduces to x < -8:  All numbers to the left of -8 (shaded area to the left of -8).

Solution:  (-infinity, -4) ∪ (-8, infinity)

The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)

Draw an open circle at -8 and extend an arrow to the left of this circle.  Then draw an open circle at -4 and extend an arrow to the right of this circle.

5 0
3 years ago
When you divide a whole number by a fraction with a numerator of how can you find the quotient
UNO [17]
All you have to do is change the whole number to a fraction. Say you have 4 divided by 1/2. All you have to do to make a whole number a fraction is put it over 1. So now you would have 4/1 (4 being the numerator) divided by 1/2. When you divide fractions always remember this; Keep, Switch, Flip. Keep 4/1, Flip the division sign to multiplication, and Flip 1/2 to make it 2/1. Then you multiply the numerators and the denominators. So 4/1 * 2/1 = 8/1. Hope this helped. 
7 0
3 years ago
The annual energy consumption of the town where Camilla lives in creases at a rate that is onal at any time to the energy consum
boyakko [2]

Answer:

6.575 trillion BTUs

Step-by-step explanation:

<em>Let represent the annual energy consumption of the town as E</em>

<em>The rate of annual energy consumption *  energy consumption at time past</em>

<em>dE/dt * E</em>

<em>dE/dt =K</em>

<em>k = the proportionality constant</em>

<em>c= the integration constant</em>

<em>(dE/dt=) kdt</em>

<em>lnE = kt + c</em>

<em>E(t) = e^kt+c ⇒ e^c e^kt  e^c is a constant, and e^c = E₀</em>

<em>E(t) = E₀ e^kt</em>

<em>The initial consumption of energy is E(0)=4.4TBTU</em>

<em>set t = 0 then</em>

<em>4.4 = E₀ e⇒ E₀ (1) </em>

<em>E₀ = 4.4</em>

<em>E (t) = 4.4e^kt</em>

<em>The consumption after 5 years is t = 5, e(5) = 5.5TBTU</em>

<em>so,</em>

<em>E(5) = 5.5 = 4.4e^k(5)</em>

<em>e^5k = 5/4</em>

<em>We now take the log 5kln = ln(5/4)</em>

<em>5k(1) = ln(5/4)</em>

<em>k = 1/5 ln(5/4) = 0.04463</em>

<em>We find  the town's annual energy consumption, after 9 years</em>

<em>we set t=9  </em>

<em>E(9) = 4.4e^0.04463(9)</em>

<em>= 4.4(1.494301) = 6.5749TBTUs</em>

<em>Therefore the annual energy consumption of the town after 9 years is </em>

<em>= 6.575 trillion BTUs</em>

<em />

3 0
3 years ago
Find the value of 48 - 32 = 4.2.<br> 8
MariettaO [177]

Answer:

48 - 16 = 32

Step-by-step explanation:

Use the PEMDAS method to help you solve the problem.

Parenthesis

Exponents

Multiply (Left to right)

Divide (Left to right)

Add (Left to right)

Subtract (Left to right)

32 ÷ 4 = 8

8 x 2 = 16

48 - 16 = 32

3 0
3 years ago
A spinner has 4 equal sections: red, white, blue, and green. John spins the spinner and tosses a
Nataliya [291]

Answer:

Step-by-step explanation:

The sample space should show all the possible outcomes.

The first option includes all 4 colors and both head and tails.

The second option is missing tails as an outcome.

The third option is missing blue.

The fourth option is missing tails.

So it must be the first one.

8 0
3 years ago
Other questions:
  • Solve for x, given the equation Square root of x plus 9 − 4 = 1.
    8·2 answers
  • If on January 1,2015 you decide to read one thousand and one night over the next 1,001 night an which date would you finally fin
    5·1 answer
  • What’s is the correct answer for this?What is the measurement of BC?
    6·1 answer
  • Find the maximum and minimum values of the function f(x,y)=2x2+3y2−4x−5 on the domain x2+y2≤100. The maximum value of f(x,y) is:
    9·1 answer
  • What is the product?<br> (2x - 1)(x+4)<br> 2²-4<br> 2x²+4<br> 2x^2+7x-4<br> 2x^2-7x-4
    14·1 answer
  • What is 32751 divided by 9
    10·1 answer
  • PLZ HELP ASAP USE SIMMILAR AND CONGRUENT TRIANGLES
    9·1 answer
  • 2/3 divided by 1/4 <br> as a fraction! HURRY!!!
    5·1 answer
  • At a craft store 20 yards of ribbon cost $24 .... the ribbon cost ____ per ___
    8·1 answer
  • Analyze the diagram below and complete the instructions that follow.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!