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
AleksandrR [38]
2 years ago
5

What is the length of the diagonal of a 10 cm by 15 cm rectangle?

Mathematics
2 answers:
padilas [110]2 years ago
6 0

We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.

Pythagorean Theorem: a² + b² = c²

Now, solve for the diagonal.

(10)² + (15)² = c²

100 + 225 = c²

325 = c²

√325 = √c²

18.0277... = c

Round if necessary.

18.0277... = 18.03

Therefore, the diagonal of the rectangle is approximately 18.03cm.

Best of Luck!

Ksivusya [100]2 years ago
4 0

Answer:

18.02 cm

Step-by-step explanation:

A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.

Remember, because we know the length and width, we know the two sides.

10^2 + 15^2 = c^2

100+225 = c^2

325 = c^2

18.027 ≈ c

You might be interested in
The output is four times the input
juin [17]
O=4i (is that was you were asking about) 

edit: sorry that wasn't very detailed say if the input is 4 the output will be 16 or if the input is 100 the output will be 400. So mainly what ever the input is multiply it by 4.

I hope this helps :)
5 0
2 years ago
Spell stun seed backwards and say it
Lisa [10]
Dees nuts because it’s spleens it but yea
4 0
2 years ago
jody wants to figure out how he spends his time. currently, he spends 12 days out of a 30-day month practicing the piano. How mu
shtirl [24]

Answer:

percent- 40%

decimal- 0.4

percent- 2/5

Step-by-step explanation:

you divide 30 by 12 because he practices piano 12/30 days of the month

3 0
3 years ago
Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
e-lub [12.9K]

Answer:

DC=\frac{8}{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

BM^2=AB^2-AM^2

we have

AB=5\ units\\AM=x\ units

substitute

BM^2=5^2-x^2

BM^2=25-x^2 -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

BM^2=BC^2-MC^2

we have

BC=7\ units\\MC=AC-AM=(9-x)\ units

substitute

BM^2=7^2-(9-x)^2

BM^2=49-(81-18x+x^2)  

BM^2=49-81+18x-x^2

BM^2=-x^2+18x-32 ----> equation B

equate equation A and equation B

-x^2+18x-32=25-x^2

solve for x

18x=25+32\\18x=57\\\\x=\frac{57}{18}

Simplify

x=\frac{19}{6}

<em>Find the length of DC</em>

DC=AC-2x

substitute the given values

DC=9-2(\frac{19}{6})

DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units

8 0
3 years ago
A basketball team sells tickets that cost​ $10, $20,​ or, for VIP​ seats,​ $30. The team has sold 3296 tickets overall. It has s
rodikova [14]

Answer:

1022 of $10 tickets, 1326 of $20 tickets, 948 of VIP $30 tickets

Step-by-step explanation:

We can set-up a system of equations to find the number of each kind of ticket. We know there are the cheap tickets c, the medium tickets m and the VIP tickets v. Since 3296 tickets were purchased, then c+m+v=3296.

We also know that 304 more medium priced tickets have been sold then cheap tickets. We write 304+c=m.

Lastly, we know that a total of $65,180 was sold. We write 10c+20m+30v=65,180.

We will solve by substituting one equation into the other. We substitute m=304+c into c+m+v=3296. Simplify and isolate the variable v.

c+m+v=3296

c+(304+c)+v=3296

c+304+c+v=3296

2c+304-304+v=3296-304

2c-2c+v=2992-2c

v=2992-2c

We will now substitute this into the remaining equation with our first substitution.

10c+20m+30v=65,180

10c+20(304+c)+30(2992-2c)=65,180

10c+6080+20c+89760-60c=65180

-30c+95840=65180

-30c+95840-95840=65180-95840

-30c=-30660

c=1022

This means 1,022 tickets purchased were $10 tickets. We substitute this equation back into m=304+c to find m.

m=304+1022

m=1326

This means 1,326 were $20 tickets.

Lastly we know 948 VIP tickets were bought because 1022+1326+948=3296


7 0
3 years ago
Other questions:
  • Select the story problem that this division problem represents 2/3/1/6
    15·1 answer
  • The length of a rectangle is 4 centimeters less than twice its width. The perimeter of the rectangle is 34 cm. What are the dime
    9·1 answer
  • The point (-2, 4) is on the line given by which equation below
    5·1 answer
  • Calculate the rate of change.
    6·1 answer
  • A line passes through the point (8,3) and has a slope of -3/4. Write an equation in slope intercept form for this line.
    5·1 answer
  • Lainey puts $600 into a GIC for 5 years. The GIC pays 6.2% interest, compounded monthly. How much interest has she earned after
    8·1 answer
  • Negative 5.4 + x = 12.2. Minus 5.4. x = 6.8.<br> What error, if any, did she make?
    8·1 answer
  • A jewelry store is having a sale, and all items are 15% off. If a necklace was originally price at $85.00, what is the sale pric
    8·1 answer
  • Given that secA = 13/5, what is the value of cosA​
    9·1 answer
  • A salesperson at a jewelry store earns 7​% commission each week. Last​ week, Jarrod sold $640 worth of jewelry. How much did he
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!