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Sphinxa [80]
3 years ago
10

Find the value of x in the triangle below​

Mathematics
1 answer:
zimovet [89]3 years ago
5 0

Answer: 89

Step-by-step explanation:

A triangle always equal 180 degrees

so first add the measurements you know

50+41 = 91

now subtract 180 by that

180-91

and then that is your answer

89 degrees

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65% of 6th grade students chose the Hybrid model. 182 6th grade students came to school. How many total students are in 6th grad
solniwko [45]

Answer:

280 6th graders

Step-by-step explanation:

65%=0.65

x=total students

0.65x=182

x=182/0.65

x=280

3 0
3 years ago
PLEASE HELP!!! The amount of polonium-210 remaining, P(t), after t days in a sample can be modeled by the exponential function P
exis [7]

Answer:

P(t)=100(0.994)^t

Step-by-step explanation:

A calculator shows the value of e^{-.006} \approx 0.994 meaning that each day, about 99.4% of the sample remains.

The formula P(t)=100e^{-0.006t} = 100(e^{-0.006})^t=100(0.994)^t

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3 years ago
Please help thanks gryrrjfjti
lara [203]

9514 1404 393

Answer:

     207.24 in²

Step-by-step explanation:

The "r" in the formula stands for the radius of the cylinder. That is half the diameter, so is 3 in. The "h" in the formula stands for the cylinder height, shown as 8 in. Put these values in the formula and do the arithmetic.

  SA = 2πr(r +h) = 2(3.14)(3 in)(3 in + 8 in) = 6.28(33 in²)

  SA = 207.24 in²

5 0
3 years ago
A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real num
yKpoI14uk [10]

Answer: hypotenuse = c^{2} + b^{2}

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (s_{1},s_{2}) of the right triangle, .i.e.:

h^{2} = s_{1}^{2} + s_{2}^{2}

In this question:

s_{1} = c^{2}-b^{2}

s_{2} = 2bc

Substituing and taking square root to find hypotenuse:

h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}

Calculating:

h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}

h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}

c^{4}+b^{4}+2b^{2}c^{2} = (c^{2}+b^{2})^{2}, then:

h=\sqrt{(c^{2}+b^{2})^{2}}

h=(c^{2}+b^{2})

Hypotenuse for the right-angled triangle is h=(c^{2}+b^{2}) units

3 0
3 years ago
For mutually exclusive events we can use the ____ Principle of Counting.
leonid [27]
Fundamental principle of  counting
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3 years ago
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