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3 years ago

An exterior angle of an isosceles triangle has measure 130°. Find two possible sets of measures for the angles of the triangle.

1 answer:

5 0

(1) it can be both exterior of vertex or base. 180-130=50°
vertex is 50°: base=(180-50)/2=65°
base is 50°: vertex= 180-2*50=80°

vertex 50 base 65; vertex 80, base 50

(2)base=180-130=50°
vertex=180-2*50=80°

base 50 vertex 80

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Which of the following best describes a regular polygon when the measure of each exterior angle is 90?

marin [14]

I would think A because regular quadrilaterals have 90-degree angles.

7 0

3 years ago

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32% of 1600 = 512

yaroslaw [1]

Answer:

64%: 1024
96%: 1536
132%: 2112
232%: 3712

Step-by-step explanation:

64% of 1600

64% of 1600 = 2 × (32% of 1600) = 2×512

64% of 1600 = 1024

96% of 1600

96% of 1600 = 3 × (32% of 1600) = 3×512

96% of 1600 = 1536

132% of 1600

132% of 1600 = (100% of 1600) + (32% of 1600) = 1600 + 512

132% of 1600 = 2112

232% of 1600

232% of 1600 = (100% of 1600) + (132% of 1600) = 1600 +2112

232% of 1600 = 3712

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3 years ago

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A hospital prepares a 100mg supply of technetium-99m which has a half-life of 6 hours. what is the decay factor?

SashulF [63]

For a half- life, the formula is
A(t) = A0(0.5)^( t / t_0.5)
where A(t) is the amount of substance at time t
A0 is the initial amount of subtance
t_0.5 is the time it will reduce its amount to half
t is the time

substitute the given to the formula
A(t) = 100(0.5)^( t/6 )
so the decay factor is 0.5^( t/6 )

6 0

3 years ago

The longer leg of a right triangle is 6cm longer than the shorter leg and also 1cm longer than the hyptenese. find the perimeter

CaHeK987 [17]

X - a leg (x > 6);
x - 6 - a leg;
x + 1 - a hypotenuse;
Use the Pythagorean theorem
$(x+1)^2=x^2+(x-6)^2$

Use: $(a\pm b)^2=a^2\pm2ab+b^2$

$x^2+2x+1=x^2+x^2-12x+36\ \ \ |-x^2-2x-1\\\\x^2-14x+35=0\ \ \ |-35\\\\x^2-14x=-35\\\\x^2-2\cdot x\cdot7=-35\ \ \ |+7^2\\\\x^2-2\cdot x\cdot7+7^2=-35+7^2\\\\(x-7)^2=14\iff x-7=\pm\sqrt{14}\ \ \ |+7\\\\x=7-\sqrt{14} < 6;\ x=7+\sqrt{14}$

$x=7+\sqrt{14}\\x-6=1+\sqrt{14}\\x+1=8+\sqrt{14}$

The perimeter:

$7+\sqrt{14}+1+\sqrt{14}+8+\sqrt{14}=16+3\sqrt{14}$

5 0

3 years ago

A stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s

Papessa [141]

Answer:

23.7m

Step-by-step explanation:

Given parameters:

Time taken = 2.2s

Acceleration due to gravity = 10m/s

Unknown:

Depth of the well = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

S = ut + $\frac{1}{2}$ gt²

where S = depth of the well

u = initial velocity

t = time taken

g = acceleration due to gravity

Input the parameters and solve for S;

Note initial velocity = 0;

S = $\frac{1}{2}$ x 9.8 x 2.2²

S = 23.7m

3 0

3 years ago