Answer:
2√5
Step-by-step explanation:
3d-18=-27
3d=-27+18
3d= -9
D= -9/3
D=-3
D equals -3. Hope this helps!
Answer:A chord with length 24 cm at 5 cm from the center gives a radius of 13 cm, using a half-length of 12 cm and the distance of 5 cm in Pythagoras’s theorem to find the radius.
Using the same radius and Pythagoras's theorem again, a chord 10 cm from the circle with radius 13 cm has a half-length of sqrt(69), or a full length of double that, so 2*sqrt(69).
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Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
Step-by-step explanation:
i. (2x+10)+(3x+5)+(2x+40) = 360
2x+3x+2x+10+5+40= 360
7x+55 =360
7x=360-55
<u>7x</u>= <u>3</u><u>05</u>
7. 7
x= 43.57=43.6
ii. 2x+10= 180
2x=180-10
<u>2</u><u>x</u>= <u>1</u><u>7</u><u>0</u>
2. 2
x=85
3x+5 =180
3x=180-5
<u>3</u><u>x</u>=<u>1</u><u>7</u><u>5</u>
3. 3
x= 57.5
2x+40=180
2x=180-40
<u>2x</u>=<u>140</u>
2. 2
x= 70
From the above 3x+5 which is 57.5 is the smallest interior angle of the triangle
iii. The largest interior angle of the triangle is 2x+10 which is 85
