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
ss7ja [257]
3 years ago
11

Triangle abc is a right traingle if side ac=7 and side bc= 10 what is the measure of ab?

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0
<span>Use the Pythagorean theorem for the right triangle ABC, where

AB is the hypotenuse of the triangle;

AC and BC are the other two sides.


So,

(AC)^{2}+(BC)^{2}=(AB)^{2}\\\\ 7^{2}+10^{2}=(AB)^{2}\\\\ (AB)^{2}=49+100\\\\ (AB)^{2}=149\\\\ AB=\sqrt{149}

</span>
You might be interested in
Change 46% into fraction​
PSYCHO15rus [73]

Answer:

46/100 = 23/50

Step-by-step explanation:

I hope this helped plzz mark me as brainliest plzzzz

7 0
3 years ago
Paul has $78 in the bank and saves $30 each week. What is the initial value? Be sure to use negative signs if needed.
marin [14]

Answer:

The initial value is $78

Step-by-step explanation:

Given

Base\ Amount = \$78

Additional = \$30 (weekly)

Required

Determine the initial value

The initial value is the amount he has in its bank account before making his weekly savings.

From the question, we have that his initial balance is $78.

Hence, the initial value is $78

However, his weekly balance can be expressed as:

Balance = Base\ Amount + Additional * number\ of weeks

Represent number of weeks with x; So, we have:

Balance = 78 + 30 * x

Balance = 78 + 30 x

6 0
3 years ago
This is for today help pls!!!
ryzh [129]

Answer:

Perimeter=25 units

Area= 43 units^2

Step-by-step explanation:

one side = 5 units so perimeter is 5x5=25

split into 5 equal triangles

base =5, height =3.44, formula for area=(base)(height)(0.5)

area of each triangle =(5)(3.44)(0.5)=8.6

entire area=5(8.6)=43

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Crm%20%5Cint_%7B0%7D%5E%7B%20%20%5Cpi%20%7D%20%5Ccos%28%20%5Ccot%28x%29%20%20%20%20-%20%2
Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

but the integrand is even, so this is really just

\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx

Substitute x = 1/2 arccot(u/2), which transforms the integral to

\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du

There are lots of ways to compute this. What I did was to consider the complex contour integral

\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}

and it follows that

\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}

7 0
2 years ago
The formula for the area A
chubhunter [2.5K]
A = 1/2h(b1 + b2)
2A = h(b1 + b2)
2A/h = b1 + b2
b1 = 2A/h - b2
6 0
3 years ago
Other questions:
  • What is the surface area of the cube?(please and put your answer as a number without a unit.)
    12·1 answer
  • Prove the following theorem indirectly. We will give you a start.Prove that a triangle cannot have two right angles. A triangle
    14·1 answer
  • Point W was translated as follows W(-4,7) -&gt; W'(-2,4) a student wrote the algebraic rule to describe the translation as (x,y)
    11·1 answer
  • A book sold 39,300 copies in its first month of release. Suppose this represents 6.3% of the number of copies sold to date. How
    6·1 answer
  • A mobile phone carrier charges an extra fee if a customer uses more than 500 minutes each month. Tom has already used 230 minute
    12·1 answer
  • Need help!!!<br> What is the real part of z?<br><br> What is the imaginary part of z?
    7·1 answer
  • Please answer this will give brainliest
    7·1 answer
  • Which amount is greater, 20 mm or 1 cm?
    14·1 answer
  • Solve for B -(12 x 2) x (-6) = -12 x (2 x b)<br> A. -6<br> B. 6<br> C. -12<br> D. 12
    12·1 answer
  • I NEED SOMEONE WHO IS SUPER SMART! I NEED HELP! PLEASE. I WILL GIVE BRAINIEST!!!!! THIS IS 30 POINTS. PLEASE!!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!