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pashok25 [27]
2 years ago
15

Question

Mathematics
1 answer:
Semenov [28]2 years ago
6 0

Answer: B

Step-by-step explanation:

We are given that a 45-45-90 triangle has a hypotenuse of 7\sqrt{2}.

In a 45-45-90 triangle, the legs are congruent. Therefore we can use the Pythagorean Theorem to solve.

a^2+a^2=(7\sqrt{2})^{2}         [combine like terms]

2a^2=(7\sqrt{2})^2               [square root both sides]

a\sqrt{2} =7\sqrt{2}                 [divide both sides by root 2]

a=7

Now, we know that a leg is length 7, which is B.                

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What is the identity of 8z^3+27
Alik [6]

8 is a cube: 2³

27 is a cube: 3³

The expression can be identified as "the sum of two cubes": (2z)³ + 3³.

8 0
3 years ago
)) What is 2.825 rounded to the nearest whole number?
Shalnov [3]

Answer:

2.83

Step-by-step explanation:

25 round off is equal to 30

so we can write 2.825 = 2.83 in form of 2 digits

83 round off to 80

2.83 is equal to 2.8

4 0
3 years ago
3) What is the SURFACE AREA of the solid with the given measurements? Square Pyramid base edge 4 cm, slant height 11 cm​
atroni [7]

Answer:

Step-by-step explanation:

height h = 11 cm

slant height s = 11.180339887499 cm

side length a = 4 cm

lateral edge length e = 11.357816691601 cm

1/2 side length r = 2 cm

volume V = 58.666666666667 cm3

lateral surface area L = 89.442719099992 cm2

base surface area B = 16 cm2

total surface area A = 105.44271909999 cm2

4 0
3 years ago
Ava flipped a coin 2 times. What are all the possible outcomes in the sample space? Let T represent the coin landing tails up an
daser333 [38]
The four outcomes are:

HH
HT
TH
TT

There are 4 outcomes that are possible. I've never seen anyone flip and edge, so that does not count.
5 0
2 years ago
Read 2 more answers
F(x)=12x2-4x-8. G(x)=11x-6
AlekseyPX

Answer: Second option.

Step-by-step explanation:

Given the functions f(x) and g(x):

f(x)=12x^2-4x-8\\\\g(x)=11x-6

You need to divide them in order to find (\frac{f}{g})(x) asked in the exercise. Then:

(\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.

Let's find the value of "x" for which the denominator of the function would be zero:

1. You need to make the denominator equal to zero:

11x-6=0

2. Finally, you must solve for "x":

11x=6\\\\x=\frac{6}{11}

Therefore, as you can see, the answer is:

 (\frac{f}{g})(x) =\frac{12x^2-4x-8}{11x-6}, x=\frac{6}{11}

4 0
3 years ago
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