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Thepotemich [5.8K]
3 years ago
10

In any right triangle , what must be true about the sum of the measures of the two acute angles?

Mathematics
1 answer:
Whitepunk [10]3 years ago
6 0
A right angle is 90 degree, and all the three angles make a sum of 180, so the two acute angles will always add up to be 90
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Write an equation for the line graphed.
Kay [80]

Answer:

the answer is "d" because the x region is negative 2 and the y region is a positive1

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What is the solution to this equation x+ 3 2/3= 26
jenyasd209 [6]

Answer:

Exact form : x = 67/3

Decimal form : x = 22.33333333333...

Mixed Number form : x = 22 1/3

Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.

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Rob is making a tent out of canvas in the shape of a square pyramid. Each side of the square base is 6 feet long, and the height
Elena L [17]

The amount of balloons in the tent is 125.075 feet cube. From the given options, approximately, option D is correct

<u>Solution:</u>

Given, Rob is making a tent out of canvas in the shape of a square pyramid.  Each side of the square base is 6 feet long, and the height is 6.3 feet.  

Rob filled the tent with balloons,  

We have to find which measurement BEST describes the amount of balloons in the tent?  

As tent if filled with balloons the amount of balloons equals with volume of tent.

<em><u>Volume of tent is given as:</u></em>

\text { volume of tent }=a^{2}+2 a \sqrt{\frac{a^{2}}{4}+h^{2}}

where "a" is side length and "h" is height.

\begin{array}{l}{\text { Then, Volume }=6.3^{2}+2(6.3) \sqrt{\frac{6.3^{2}}{4}+6^{2}}} \\\\ {=39.69+12.6 \sqrt{9.925+36}} \\\\ {=39.69+12.6 \times 6.7766=39.69+85.385} \\\\ {=125.075 \mathrm{ft}^{3}}\end{array}

Hence, from the given options, approximately, option D is correct.  

6 0
3 years ago
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First find the value of x the find the measure of each angle. need help !!!!​
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Step-by-step explanation:

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ASAP! I WILL MARK BRAINLIST ! 38 POINTS STEP BY STEP PLEASEE STEPS NEEDED!
marta [7]

Answer:

A) Length = 110.4 mm and width = 62.1 mm

B) A = 6855.84 mm²

C) length = 114.7 mm

width = 55.8 mm

Area = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

Step-by-step explanation:

A) We are told that the aspect ratio of the phone screen = 16:9. This means that the ratio of the length to the width of the screen is 16:9.

To find the side length, we will say that;

length = 16x

width = 9x

Thus, since the edges are perpendicular, then we can use pythagoras theorem since we know that the diagonal is 127 mm

Thus;

(16x)² + (9x²)] = 127²

256x² + 81x² = 16129

337x² = 16129

x² = 16129/337

x = √(16129/337)

x = 6.9

Thus;

length = 16x = 16 × 6.9 = 110.4 mm

width = 9x = 9 × 6.9 = 62.1 mm

Length = 110.4 mm and width = 62.1 mm

B) area of screen is;

A = length × width

A = 110.4 × 62.1

A = 6855.84 mm²

C) We are told that the aspect ratio is now 18.5:9.

Thus;

length = 18.5x

width = 9x

Thus;

(18.5x)² + (9x²)] = 127²

342.25x² + 81x² = 16129

423.25x² = 16129

x² = 16129/423.25

x = √(16129/423.25)

x = 6.2

length = 18.5x = 18.5 × 6.2 = 114.7 mm

width = 9x = 9 × 6.2 = 55.8 mm

Area = 114.7 × 55.8 = 6400.26 mm²

D) Screen with aspect ratio of 16:9 is bigger

8 0
3 years ago
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