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
Ostrovityanka [42]
3 years ago
7

The shortest side of a right triangle measures 11m. The lengths of the other two sides are consecutive integers. Find the length

s of the other two sides.
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0
Interesting question.  Let the 2 unknown sides be x and x+1.
Then (11 m)^2 + x^2    = sum of the squares of the 2 shortest sides
                                     = (x+1)^2


121 + x^2 = x^2 + 2x + 1.  Then 121 = 2x + 1, and 2x = 120, or x = 60.

Then the hyp. has length 60+1= 61.

We must check these results.  Using the Pyth. Thm. (a^2 + b^2 = c^2),

11^2 + 60^2 = 61^2
121 + 3600 =  3721     This is true, so our answers are correct.

The longer side is 60 and the hyp. has length 61. 
You might be interested in
if the exchange rate of euro to the us dollar is 1 euro = $1.13, how much would you receive if you wished to exchange 235 euros?
Alinara [238K]
It would be $265.55
6 0
3 years ago
Read 2 more answers
Is this right and what's the answer for number 3?
Mumz [18]
That looks great! But say you chose number 2. You could say you organized it by multiplying single packs by the pieces of packs.
7 0
3 years ago
Read 2 more answers
Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
trapecia [35]

Answer:

See explanation

Step-by-step explanation:

Plot the solution sets to both inequalities.

1. For the inequality y First, plot the dotted line y=2x+5 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

2\cdot 0-5=-5

so the origin does not belong to the needed part. Shade the part, which does not include origin.

2. For the inequality y>-3x+1. First, plot the dotted line y=-3x+1 (dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.

-3\cdot 0+1=1>0

so the origin does not belong to the needed part. Shade the part, which does not include origin.

3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.

5 0
3 years ago
On Wednesday a local hamburgers shop sold a combined total of 568 hamburgers and cheeseburgers. The number of cheeseburgers sold
Sphinxa [80]

Answer:

i think its 142

5 0
3 years ago
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 445445 gram setting. Is
marusya05 [52]

Answer:

Yes there is sufficient evidence.

Null hypothesis; H_o ; μ = 445

Alternative hypothesis; H_o ; μ ≠ 445

Step-by-step explanation:

The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.

Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.

Now, the question we have is a two tailed test. Thus;

The null hypothesis is;

bag filling machine works correctly at the 445 gram setting which is;

H_o ; μ = 445

The alternative hypothesis is;

bag filling machine works incorrectly at the 445 gram setting which is;

H_o ; μ ≠ 445

8 0
4 years ago
Other questions:
  • A rectangular field has a perimeter of 500m and an area of 14400m2.  Find the lengths of the sides
    6·1 answer
  • Alfred made 21 goals in 3.5 minutes. What is the unit rate?
    5·2 answers
  • Solve each equation (Isolating first)
    9·2 answers
  • Jakob is asked to simplify the expression –3a + 4b + 5a + (–7b).
    10·1 answer
  • Solve by substitution 3y-2x=10 and x=9-2y
    6·1 answer
  • Any americans still active on here?
    12·2 answers
  • The rectangle below has an area of 30k3 + 6k2.
    8·1 answer
  • In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles.
    8·1 answer
  • Melanie uses 8.1 pints of blue paint and white paint to paint her bedroom walls. 2/5 of this amount is blue paint, and the rest
    14·1 answer
  • Find the value of x. Then find the angle measures of the polygon.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!