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
Ivanshal [37]
4 years ago
7

using the pythagorean theorem find the area of an equilateral triangle whose side measures 7 units find the area to the nearest

tenth of a square unit
Mathematics
2 answers:
Molodets [167]4 years ago
7 0
 <span>If you have an equilateral triangle, the median is also the altitude so - That means that if you draw altitude, it will bisect the base of the triangle and meet at two right angles. That gives you two of the measurements for the right triangle - the side (6) hypotenuse, and the base (3). You can then figure out the height using the Pythagorean as you have the a and the c for the theorem. Then you can use 1/2 base times height to find the area. 
</span>
inysia [295]4 years ago
3 0
Here you go 3x-x+2=4
You might be interested in
Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of
romanna [79]

Answer: $10.20

Step-by-step explanation:

Let's first collect the information from the word problem.

<h3><em>We are told:</em></h3>
  • Bought 15 pies and 7 cake slices
  • Total cost was $55.22.
  • Pies cost \frac{2}{5} as much as a slice of cake
<h3><em>We need to solve for:</em></h3>
  • Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

    55.25 = 7x+15(\frac{2}{5} x)

<em>x = the cost of the slice of cake.</em>

<em />

2. Simplify/Solve

55.25 = 7x+15(\frac{2}{5}x)\\55.25 = 7x+15*\frac{2}{5}*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x

  • Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is \frac{2}{5} of a slice of cake, so now find the price of the pies.

Pie = \frac{2}{5} 4.25

Pie = $1.70

  • Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

<em>Check to make sure the math is done correctly!</em>

55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost: 1.70+2(4.25)

  • $10.20 is our final answer!

  • Hope this helped!~~ -Astro

7 0
4 years ago
What is the greatest common factor for 60 and 45
Cerrena [4.2K]
<h3>​What is the greatest common factor for 60 and 45 ?</h3>

​<em>The greatest common factor (GCF) is also known as greatest common divisor (GCD).</em>

<em>​​First we have to find the prime factorization of 60</em>

​60 = 2² × 3 × 5

<em>​Then we have to find the prime factorization of 45</em>

​​45 = 3² × 5

<em>​Now we have to multiply the common factors to both numbers with a lower exponent</em>

​​GCF = 3 × 5 = 15

​Answer : GCF(60,45) = 15

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

8 0
3 years ago
Jasper starts the month with $24 in his savings account. At the end of each week, Jasper adds $8 to the account. How much will J
sergeinik [125]

24 + (8·10)

24 + 80

104 dollars after ten weeks


8 0
3 years ago
Read 2 more answers
Marain purchased 7 shirts at 8.50 each. if she gave the cashier 60$,how much change would she recive
Vladimir [108]

8.5 x 7 = 59.5

60 - 59.5 = .5

$0.50

7 0
3 years ago
Read 2 more answers
If <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%20%2B%20ib%7D%7Bc%20%2B%20id%7D%20" id="TexFormula1" title=" \frac{a + i
Simora [160]

Rewrite the given number as

\dfrac{a+ib}{c+id}=\dfrac{(a+ib)(c-id)}{(c+id)(c-id)}=\dfrac{ac+bd+i(bc-ad)}{c^2+d^2}

If it's purely real, then the complex part should be 0, so that

\dfrac{bc-ad}{c^2+d^2}=0\implies bc-ad=0\implies\boxed{ad-bc}

as required.

7 0
3 years ago
Other questions:
  • What is the total perimeter of this figure in inches?
    7·2 answers
  • rocky reifenstuhl won the 130-mile race on his bicycle. he finished in 11 hours and 45 minutes. What was his average speed in mi
    11·1 answer
  • A cylinder container 18 inches tall and a diameter of 12 inches is completely filled with vanilla, chocolate, and strawberry ice
    11·2 answers
  • How to find the volume of this shape? <br><br> Please show how to do it thank you!
    10·1 answer
  • Please Help!, Brainliest to whoever helps
    12·1 answer
  • Please help
    15·1 answer
  • A recipe says to use 3 cups of flour to make 48 cookies. What is the constant of proportionality that relates the number of cook
    12·2 answers
  • PLEASE HELP DUE IN 5 MINUTES!! NO LINKS! HELP PLEASE!!
    13·2 answers
  • Jack is planning to apply for a new credit card and needs to compare two offers. Complete the table based on the information in
    13·1 answer
  • Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. Wh
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!