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Anon25 [30]
3 years ago
8

Help please bdjdnhsj​

Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0

Answer:

True

Step-by-step explanation:

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A circle with a 10 inch diameter is cut from a square piece of tin with 10 inch sides. To the nearest tenth of a square inch, fi
saveliy_v [14]

The area of the circle is

... A = (π/4)d² . . . . where d=10 in

The area of the square is

... A = d² . . . . . . . . where d=10 in

The amount of the square that is not in the circle is

... (1 -π/4)d² = 0.2146018d² ≈ 21.5 in² . . . for d=10 in

5 0
3 years ago
Determine if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 4.1, 8.2, 12.2
goldfiish [28.3K]
Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

 4.1 + 8.2 \ \textgreater \  12.2 \\
12.3 \ \textgreater \  12.2 \\
true
They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if c^2=a^2+b^2, the triangle is right
- if c^2\ \textless \ a^2+b^2, the triangle is acute
- if c^2\ \textgreater \ a^2+b^2, the triangle is obtuse

4.1^2+8.2^2=16.81+67.24=84.05 \\
12.2^2=148.84 \\ \\
148.84\ \textgreater \ 84.05
The triangle is obtuse.

The answer is D.
4 0
3 years ago
Solve the following equations.<br> log2(x^2 − 16) − log^2(x − 4) = 1
Alenkasestr [34]

Answer:

x=\frac{4*(2+e)}{e-2}

Step-by-step explanation:

Let's rewrite the left side keeping in mind the next propierties:

log(\frac{1}{x} )=-log(x)

log(x*y)=log(x)+log(y)

Therefore:

log(2*(x^{2} -16))+log(\frac{1}{(x-4)^{2} })=1\\ log(\frac{2*(x^{2} -16)}{(x-4)^{2}})=1

Now, cancel logarithms by taking exp of both sides:

e^{log(\frac{2*(x^{2} -16)}{(x-4)^{2}})} =e^{1} \\\frac{2*(x^{2} -16)}{(x-4)^{2}}=e

Multiply both sides by (x-4)^{2} and using distributive propierty:

2x^{2} -32=16e-8ex+ex^{2}

Substract 16e-8ex+ex^{2} from both sides and factoring:

-(x-4)*(-8-4e-2x+ex)=0

Multiply both sides by -1:

(x-4)*(-8-4e-2x+ex)=0

Split into two equations:

x-4=0\hspace{3}or\hspace{3}-8-4e-2x+ex=0

Solving for x-4=0

Add 4 to both sides:

x=4

Solving for -8-4e-2x+ex=0

Collect in terms of x and add 4e+8 to both sides:

x(e-2)=4e+8

Divide both sides by e-2:

x=\frac{4*(2+e)}{e-2}

The solutions are:

x=4\hspace{3}or\hspace{3}x=\frac{4*(2+e)}{e-2}

If we evaluate x=4 in the original equation:

log(0)-log(0)=1

This is an absurd because log (x) is undefined for x\leq 0

If we evaluate x=\frac{4*(2+e)}{e-2} in the original equation:

log(2*((\frac{4e+8}{e-2})^2-16))-log((\frac{4e+8}{e-2}-4)^2)=1

Which is correct, therefore the solution is:

x=\frac{4*(2+e)}{e-2}

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4 years ago
M-m-1/2=1-m-2/3 ( will mark brainiest)
Naya [18.7K]

Answer:

Step-by-step explanation:

m= 1/2

this is answer ..........

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4 years ago
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If a person is given $1 and invests that $1 for 100 years at 5%, what amount would they be able to withdraw from this account af
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in 100 years they will be able to withdraw $131.50

1(1.05)^100

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3 years ago
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