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abruzzese [7]
3 years ago
7

A square has an area of 110 square units. What is the approximate length of each side

Mathematics
1 answer:
LekaFEV [45]3 years ago
3 0
110÷4= 27.5 (One hundred ten, divided by four, equals twenty seven, point five; or twenty seven and a half).
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The second angle in a triangle is five times as large as the first. The third angle is two-thirds as large as the first. Find th
olga55 [171]

Answer:

first angle: 27 degrees

second angle: 135 degrees

third angle: 18 degrees

Step-by-step explanation:

Represent each angle with a variable x and sum them to 180 degrees, the total angle measure of a triangle. So...

first angle: x

second angle: 5x

third angle: 2x/3

x+5x+2x/3=180  Combine like terms

6x+2x/3=180  Change the 6x terms to have a denominator of 3

18x/3+2x/3=180  Combine like terms

20x/3=180  Cross multiply to solve for x

20x=540 so x=27

Now plug in to get angles:

first angle: 27

second angle: 135

third angle: 18


Check: 27+135+18=180

5 0
3 years ago
A 12- foot ladder is resting against a wall. The base of the ladder is 2.5 feet from the base of the wall. How high up the wall
maks197457 [2]
The right triangle has legs of x and 2.5 where x is the height up the wall that the ladder will reach. The length of the ladder is the hypotenuse of the right triangle.

According to the Pythagorean Theorem, x^2 + 2.5^2 = 12^2
x = 11.736 approx To the nearest tenth that is 11.7.
7 0
3 years ago
Which shapes are congruent to shape I
Natasha2012 [34]

Answer: all of them except III

Step-by-step explanation:

8 0
3 years ago
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Which ordered pair is a solution to the inequality?<br><br> Help please!!
Murrr4er [49]

Choice A is the answer which is the point (1,-1)

=========================================

How I got this answer:

Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.

-------------

checking choice A

plug in (x,y) = (1,-1)

y - 2x \le -3

-1 - 2(1) \le -3

-3 \le -3

This is true because -3 is equal to itself. So this is the answer.

-------------

checking choice B

plug in (x,y) = (2,4)

y - 2x \le -3

4 - 2(2) \le -3

0 \le -3

This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.

-------------

checking choice C

plug in (x,y) = (-2,3)

y - 2x \le -3

3 - 2(-2) \le -3

7 \le -3

This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.

-------------

checking choice D

plug in (x,y) = (3,4)

y - 2x \le -3

4 - 2(3) \le -3

-2 \le -3

This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.


4 0
3 years ago
What is the circumference of a circle with a diameter of 10 feet? Use 3.14 for
viva [34]

Answer:

choice A) circumference = 31.4 ft

Step-by-step explanation:

circumference = 3.14(10)

circumference = 31.4 ft

8 0
3 years ago
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