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Ira Lisetskai [31]
2 years ago
14

The lines below are parallel. if the slope of the green line is -3 what is the line of the red line

Mathematics
2 answers:
n200080 [17]2 years ago
8 0
Since they are parallel they have the same slope, thus the slope of the red line is -3.
coldgirl [10]2 years ago
7 0
If two lines are parallel, their slopes are equal.  Thus, the slope of the red line is also -3.
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: Find the approximate perimeter of the isosceles triangle A OPD.
AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

P=OP+PD+OD

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance OP

we have

O(7,-6),P(1,-6)

substitute in the formula

d=\sqrt{(-6+6)^{2}+(1-7)^{2}}

d=\sqrt{(0)^{2}+(-6)^{2}}

d_O_P=6\ units

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-1)^{2}}

d=\sqrt{(9)^{2}+(3)^{2}}

d_P_D=\sqrt{90}\ units

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

d=\sqrt{(3+6)^{2}+(4-7)^{2}}

d=\sqrt{(9)^{2}+(-3)^{2}}

d_O_D=\sqrt{90}\ units

step 4

Find the perimeter

P=6+\sqrt{90}+\sqrt{90}

P=6+9.49+9.49=24.98\ units

4 0
3 years ago
A recipe calls for 14cup of brown sugar for every 23cup of white sugar. How many cups of brown sugar are required for every cup
photoshop1234 [79]

Note: Consider all the numeric values are in the fraction form. Like 14\to \dfrac{1}{4}, 23\to \dfrac{2}{3} etc.

Given:

A recipe calls for \dfrac{1}{4} cup of brown sugar for every \dfrac{2}{3} cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for \dfrac{2}{3} cup of white sugar =  \dfrac{1}{4} cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  \dfrac{\dfrac{1}{4}}{\dfrac{2}{3}} cup

                                                                              =\dfrac{1}{4}\times \dfrac{3}{2} cup

                                                                              =\dfrac{3}{8} cup

So, \dfrac{3}{8} cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

6 0
2 years ago
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kati45 [8]

Answer:

1/2jdjdjjdjdjdhdhdhdhdhhdhdhdhdhd

5 0
2 years ago
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Yuliya22 [10]
The decimals ordered from least to greatest are as followed:
Least: 2.009
2.09
2.19
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Greatest: 2.901
I hope I have helped in some way, shape or form!
7 0
3 years ago
Round to the nearest hundreth
n200080 [17]

Answer:

∠ B ≈ 66.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos B = \frac{adjacent}{hypotenuse} = \frac{BC}{AB} = \frac{2}{5}, thus

B = cos^{-1}(\frac{2}{5} ) ≈ 66.42° ( to the nearest hundredth )

3 0
3 years ago
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