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frez [133]
3 years ago
11

Based on the diagram below, what is the interior measure of ∠Y ?

Mathematics
1 answer:
nordsb [41]3 years ago
4 0

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

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A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.
denis23 [38]
Area of a square = side^2
area = 6.25^2 = <span> <span> <span> 39.0625 </span> </span> </span> square feet

= 39.06 (rounded)

4 0
3 years ago
Which experimental design compares two groups (randomly formed) on the same task, such as movement speed
anygoal [31]

Between-group design compares two groups (randomly formed) on the same task, such as movement speed.

Given things that there are two groups that are randomly formed for the same task.

A between-group design in experimental design is an experiment in which two or more groups of individuals are assessed simultaneously by separate testing factors. This design is typically used instead of, or in conjunction with, the within-subject design, which applies identical modifications of circumstances to each participant in order to monitor the reactions.

Learn more about experimental designs at brainly.com/question/17280313

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3 0
2 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
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4 0
3 years ago
The inequality x2 – 5x + 3 &lt; 3 can be broken down into two related inequalities. The graphs of these related inequalities are
stealth61 [152]

Answer:

A (0,5)

Step-by-step explanation:

Look where both lines intersect.

5 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST!!!!!!
Dahasolnce [82]
<h2>Greetings!</h2>

Answer:

x = 67.5

Step-by-step explanation:

Because AB and NP lines are parrallel, we can find out the scale factor by dividing size MA by MN.

This works because you find out what the MA size has to be multiplied to to get to MN, which will also work in reverse to find angle MB from MP.

71.5 - 22 = MA = 49.5

71.5 ÷ 49.5 = \frac{13}{9}

So to get to line MP length, line MB had to be multiplied by \frac{13}{9} to get 97.5

The reverse of this is dividing 97.5 by \frac{13}{9}:

97.5 ÷ \frac{9}{13} = 67.5

So x = 67.5


<h2>Hope this helps!</h2>
4 0
3 years ago
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