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Natali [406]
3 years ago
8

On a piece of paper, use a protractor to construct right triangle ABC with AB=4 in. , m∠A=90° , and m∠B=45°

Mathematics
2 answers:
SVEN [57.7K]3 years ago
6 0
AC=4 in
yeah
yeah
yeah
yeah

Mrac [35]3 years ago
5 0

Answer:

AC=4 inch. so B is the answer

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Find the value of a and b if root3-1/root3+1+ root3+1/root3-1=a+root3 b​
Digiron [165]

Answer:

a=4 and b = 0

Step-by-step explanation:

Given : \dfrac{\sqrt 3 -1}{\sqrt 3+1}+\dfrac{\sqrt 3+1}{\sqrt 3-1}=a+\sqrt 3 b

To find, The value of a and b

Solution,

Solving LHS of the given equation,

\dfrac{(\sqrt 3-1)^2+(\sqrt3+1)^2}{(\sqrt 3+1)(\sqrt 3-1)}=a+\sqrt 3 b

Since,

(a-b)^2=a^2+b^2-2ab\\\\(a+b)^2=a^2+b^2+2ab\\\\(a-b)(a+b)=a^2+b^2

So,

\dfrac{3+1-2\sqrt 3+3+1+2\sqrt 3}{3-1}=a+\sqrt 3 b\\\\4=a+\sqrt 3 b

or

4+0=a+\sqrt 3 b

On comparing we get :

a = 4 and b = 0

4 0
3 years ago
The body temperatures of adults have a mean of 98.6°F and a standard deviation of 0.60° F. Describe the center and variability o
amid [387]

Answer:

center = 98.6, variability = 0.08

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

The center is the mean.

So \mu = 98.6

The standard deviation of the sample of 50 adults is the variability, so

s = \frac{0.6}{\sqrt{50}} = 0.08

So the correct answer is:

center = 98.6, variability = 0.08

7 0
3 years ago
Evaluate each expression a3 for a=5
nadezda [96]
I'm assuming you meant to say a^3. If so, then

a^3 = a*a*a
a^3 = 5*5*5
a^3 = 125
4 0
3 years ago
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many face
aleksley [76]

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Hope this can help you.

3 0
3 years ago
Please if someone could help me that would be greatly appreciated.
mariarad [96]

Answer:

Me

Step-by-step explanation:

5 0
3 years ago
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