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
katrin [286]
3 years ago
14

What is the range of possible sizes for side x?

Mathematics
2 answers:
Sauron [17]3 years ago
8 0

Check the picture below.

the idea being that sides of 2.5 andd 8 are fixed, what's are the possible lengths of "x"?

well, if we open the fixed sides, we'll end up with a 3rd side of 2.5 + 8 = 10.5, however if "x" is ever 10.5, the figure will become a flat-line and we'd be losing the triangle.

and if we close the fixed sizes, the longest "x" could be is 8 - 2.5 = 5.5, but the same, it can't be 5.5 exactly otherwise the figure will turn to a flat-line.

5.5 < x < 10.5.

max2010maxim [7]3 years ago
6 0

Answer:

5.5 < x < 10.5

Step-by-step explanation:

Khan

You might be interested in
Find the missing factor.<br> 7s^2 + + 13s + 6 = (7s + 6)<br> )
Anton [14]

Answer:

71s

Step-by-step explanation:

The question we have at hand is 7s² + ___ + 13s + 6² = (7s + 6)². We can expand the perfect equation " (7s + 6)² " in order to find our solution. A perfect square consists of 3 terms, and hence the term in the blanks must add to 13s to form another term.

Applying the perfect square formula : ( a + b )² = a² + 2ab + b², let's expand the expression,

(7s + 6)² = ( 7s )² + 2( 7s )( 6 ) + ( 6 )² =  7s² + 84s + 6²

84s - 13s = 71s, which fills in the blank provided.

5 0
3 years ago
At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion ring
andre [41]

Answer:

The number of onion rings is <u>3</u> in the combination meal and the number of sliders is <u>2</u> in the combination meal.

Step-by-step explanation:

Given:

At a particular restaurant, each onion ring has 65 calories and each slider has 250 calories. A combination meal with onion rings and sliders has a total of 5 onion rings and sliders altogether and contains 695 calories.

Now, to find the number of onion rings in the combination meal and the number of sliders in the combination meal.

Let the number of onion rings in the combination meal be x.

And let the number of sliders in the combination meal be y.

<u><em>So, the total number of onion rings and sliders are:</em></u>

x+y=5\\\\y=5-x\ \ \ .....(1)

Now, the total number of calories each onion rings and sliders has:

x(65)+y(250)=695

Substituting the value of y from equation (1) we get:

<em />x(65)+(5-x)(250)=695\\\\65x+1250-250x=695\\\\1250-185x=695<em />

<em>Subtracting both sides by 1250 we get:</em>

<em />-185x=-555<em />

<em>Dividing both sides by -185 we get:</em>

x=3.

<u><em>The number of onion rings in the combination meal = 3.</em></u>

Now, substituting the value of x in equation (1) we get:

y=5-x\\\\y=5-3\\\\y=2.

<u><em>The number of sliders in the combination meal = 2.</em></u>

Hence, the number of onion rings is 3 in the combination meal and the number of sliders is 2 in the combination meal.

8 0
3 years ago
If DA equals 6 units, AB equals 16 units, and HE equals 36 units, what does EF equal?​
yuradex [85]

Answer:

B. 96 units

Step-by-step explanation:

DA is 6 units and HE is 36 units. There are the same side, but HE is 6 times larger.

AB is 16 units, but since all the sides on the left shape are 6 times larger, EF has to be 16*6, which is 96 units.

Hope this helps

5 0
4 years ago
Construct a 90% confidence interval for the true mean using the FPCF. (Round your answers to 4 decimal places.) The 90% confiden
mezya [45]

Answer:

The answer is below

Step-by-step explanation:

Twenty-five blood samples were selected by taking every seventh blood sample from racks holding 187 blood samples from the morning draw at a medical center. The white blood count (WBC) was measured using a Coulter Counter Model S. The mean WBC was 8.636 with a standard deviation of 3.9265. (a) Construct a 90% confidence interval for the true mean using the FPCF. (Round your answers to 4 decimal places.) The 90% confidence interval is from to

Answer:

Given:

Mean (μ) = 8.636, standard deviation (σ) = 3.9265, Confidence (C) = 90% = 0.9, sample size (n) = 25

α = 1 - C = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

From the normal distribution table, The z score of α/2 (0.05) corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645

The margin of error (E) is given by:

E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\ \\E=1.645*\frac{3.9265}{\sqrt{25} }=1.2918

The confidence interval = μ ± E = 8.636 ± 1.2918 = (7.3442, 9.9278)

The 90% confidence interval is from 7.3442 to 9.9278

8 0
4 years ago
There are 37 more cats than dogs in an animal shelter. If there are 78 cats at he shelter, how many dogs are there?
Sloan [31]
There are 41 dogs in the shelter
8 0
4 years ago
Read 2 more answers
Other questions:
  • there are 4 shelves with canned food. each shelf has t cans. then Tracy adds 2 cans to only 1 of the shelves. if t=8, how many c
    5·1 answer
  • Zaire is making sand art her mom. She bought a rectangular vase that is 2.5 inches long, 3 inches wide, and 6 inches tall. Color
    10·1 answer
  • Including zero) depending on your answer
    10·2 answers
  • The ordered pairs (6, 24) and (1, s) represent a proportional relationship. Find the value of s.
    13·2 answers
  • If 8 apples cost 6$ how much does 1 apple cost
    5·2 answers
  • Hey can someone do this for me plz ASAP
    5·2 answers
  • Given:2x-2+4(x+1)=50 prove:x=8
    8·1 answer
  • Need help please please!!
    11·1 answer
  • Write an equation in slope-intercept form of the line that passes through (2,-3) and (- 1/2, 1/8)​
    9·1 answer
  • 3) Wages of £4.50 per hour are increased by 8%. Find the new hourly wage. ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!