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DaniilM [7]
2 years ago
12

Which was a significant provision of the northwest ordinance?

Mathematics
1 answer:
earnstyle [38]2 years ago
3 0

I think the answer is A.

Hope it helps you!

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Solve for the approximate measure of angle C. <br><br> 38.66<br> 36.87<br> 53.13<br> 51.34
Elis [28]

Answer:

m<C  = 36.87degrees

Step-by-step explanation:

Solve for the approximate measure of angle C.

From the given diagram;

AC is the hypotenuse

BC is adjacent to <C

Cos m<C = adj/hyp

Cos m<C = BC/AC

Cos m<C = 20/25

Cos m<C = 0.8

m<C = arccos (0.8)

m<C  = 36.87degrees

8 0
2 years ago
The base of a triangle exceeds the height by 7 centimeters. If the area is 400 square centimeters, find the length of the base a
zvonat [6]

Answer:

Base = 32 cm

Height = 25 cm

Step-by-step explanation:

Area of a triangle can be calculated as:

Area = \frac{1}{2}\times Base \times Height

We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:

Base = Height + 7

Lets use B to represent base and H to represent height

B = H + 7

The equation of area can be stated as:

Area=\frac{1}{2}bh\\\\ Area=\frac{1}{2}(h+7)(h)\\\\ 400=\frac{1}{2}h(h+7)\\\\ 800=h^{2}+7h\\\\ h^{2}+7h-800=0

This is a quadratic equation which can be solved using a quadratic equation as shown below:

h=\frac{-7+-\sqrt{49-4(1)(-800)} }{2(1)} \\\\ h=\frac{-7+-57}{2}\\\\h=-32,25

Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.

Therefore, the length of base will be 25 + 7 = 32 cm.

8 0
3 years ago
Solve the following:<br> a) 4x-1 / 2= x+7<br> b)<br> 3x + 2 = 2x + 13 /3
11Alexandr11 [23.1K]

Answer:

a) 2.5

b)2.33

Step-by-step explanation:

a)

4x-\frac{1}{2}= x+7

Bring the numerals to the right hand side and the x terms to the left hand side

4x-x=7+\frac{1}{2}

Simplify

3x=\frac{15}{2}

Divide 3 on both sides, to get x

x=\frac{5}{2} =2.5

b)

3x+2=2x+\frac{13}{3}

Bring the numerals to the right hand side and the x terms to the left hand side

3x-2x=\frac{13}{3}-2

Simplify

x=\frac{7}{3} =2.33

5 0
3 years ago
Please help solve this
MArishka [77]

Answer:

The answer to the question provided is 3.

8 0
2 years ago
A point T on a segment with endpoints D (1, 4) and F (7, 1) partitions the segment in a 3:1 ratio. Find T.
velikii [3]

Step-by-step explanation:

given,

x1= 1 , x2= 7 , m1= 3

y1= 4 , y2= 1 , m2= 1

x=?

y=?

using section formula

x= (m2.x1 + m1.x2)/m1 + m2

x= find yourself

y= (m2.y1 + m1.y2) / m1 + m2

y= find yourself

5 0
2 years ago
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