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Assoli18 [71]
3 years ago
13

What is the height of the trapezoid if the Area = 77 ft²? The h we don't know but the base is 14 and the line on top is 8. pleas

e help im very lost
Mathematics
1 answer:
velikii [3]3 years ago
5 0

Answer:

h = 7.333....

Step-by-step explanation:

Formula is A = 1/2h(b1+b2)

Area 77 determine the height

77=1/2h(14+8)

77 = 1/2h(22)h

77/10.5 = 10.5h/1.5

solve for h = 7.333....

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Find g (-6) if g (x)=5 x - 7
musickatia [10]

Answer:

Your answer is -37.

Step-by-step explanation:

g(-6)=5(-6)-7

g(-6)=-30-7

g(-6)=-37

7 0
2 years ago
Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.
kirza4 [7]

Answer:

Area of the region = 15.03 in²

Step-by-step explanation:

Area of region between a regular hexagon with sides 6" and circle inscribed.

So Area of region = Area of regular hexagon - area of circle

Now area of regular hexagon = \frac{3a^{2} \sqrt{3}}{2}

where a = side of the hexagon = 6"

Now area of regular hexagon = \frac{3(6^{2})\sqrt{3}}{2}=\frac{108\sqrt{3}}{2} = 93.53 square in.

Area of circle inscribed = πr²

Here r is the radius of the circle = \sqrt{6^{2}-3^{2}}=\sqrt{36-9}

r = 5"

So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.

Now area of region = 93.53 - 78.5 = 15.03 in²

5 0
3 years ago
What is a reasonable distance between two cities?
deff fn [24]
I don't know the exact calculation but...maybe about 56,789 miles? based on that between Syracuse to California is 9,345 miles but...it depends on witch two cites you're talking about
8 0
3 years ago
Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
2 years ago
The sequence below shows the
serious [3.7K]

Answer:

Step-by-step explanation:

Option B 2. Now is the correct answer because when we multiply 6 by 2 we get 12 then we multiply 12 by 2 we get 24

8 0
3 years ago
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