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solniwko [45]
3 years ago
8

Work out these approximate conversions. 8 miles=..... km​

Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer:

12.87 km

Step-by-step explanation:

searched it up

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The equation of line WX is 2x + y = −5. What is the equation of a line perpendicular to line WX in slope-intercept form that con
borishaifa [10]

Answer: y=\dfrac12x-\dfrac{3}{4}

Step-by-step explanation:

Given, The equation of line WX is 2x + y = −5.

It can be written as y=-2x-5 comparing it with slope-intercept form y=mx+c, where m is slope and c is y-intercept, we have

slope of WX = -2

Product of slopes of two perpendicular lines is -1.

So, (slope of WX) × (slope of perpendicular to WX)=-1

-2\times\text{slope of WX}=-1\\\\\Rightarrow\ \text{slope of WX}=\dfrac{1}{2}

Equation of a line passes through (a,b) and has slope m:

y-b=m(x-a)

Equation of a line perpendicular to WX contains point (−1, −2) and has slope =\dfrac12

y-(-2)=\dfrac{1}{2}(x-(-1))\\\\\Rightarrow\ y+2=\dfrac12(x+1)\\\\\Rightarrow\ y+2=\dfrac12x+\dfrac12\\\\\Rightarrow\ y=\dfrac12x+\dfrac12-2\\\\\Rightarrow\ y=\dfrac12x-\dfrac{3}{4}

Equation of a line perpendicular to line WX in slope-intercept form that contains point (−1, −2) :y=\dfrac12x-\dfrac{3}{4}

4 0
3 years ago
The hypotenuse of a 45°-45°-90° triangle measures units.
-Dominant- [34]

Answer:

7 units

Step-by-step explanation:

In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...

... 7√2 = leg·√2

... 7 = leg . . . . . . . divide both sides by √2

_____

<em>Comment on isosceles right triangle</em>

If the legs are both length 1, the Pythagorean theorem tells us ...

... hypotenuse² = 1² +1² = 2

... hypotenuse = √2 . . . . . . . . . square root both sides of the equation

This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.

7 0
4 years ago
Read 2 more answers
Armando can type 2 pages in 5 minutes. Which proportion could
Ierofanga [76]

Answer:

5 pages

Step-by-step explanation:

5+2 =

7.

12- 7=

5pages.

8 0
3 years ago
2a+6=12 what does a equal a=? Please help.
Rashid [163]

Answer:

3

Step-by-step explanation:

2a+6=12

Step 1: Subtract 6 from both sides.

2a+6=12

-6 -6

2a=6

Step 2: Divide both sides by 2.

2a/2=6/2

a=3

4 0
4 years ago
Read 2 more answers
Kevin uses 2 and 1/4 cups of ravens for every half cup of peanuts when making a snack mix how many cups of raisins does Kevin us
Dmitrij [34]

Answer:

For 1 cup of peanut Kevin will use \frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups of raisins.

Step-by-step explanation:

Given:

\frac{1}{2} cups of peanuts = 2\frac{1}{4} cups of raisin

2\frac{1}{4}  can be rewritten as \frac{9}{4}

\frac{1}{2} cups of peanuts = \frac{9}{4} cups of raisin

We need to find number of cups of raisins used in 1 cup of peanut.

Solution:

Now we know that;

\frac{1}{2} cups of peanuts = \frac{9}{4} cups of raisin

So 1 cup of peanut = number of cups of raisins used in 1 cup of peanut

Now by using Unitary method we get;

number of cups of raisins used in 1 cup of peanut = \frac{\frac{9}{4}}{\frac{1}{2}}=\frac{9}{4}\times \frac{2}{1} = \frac{9}{2} \ cup \ \ \ OR \ \ \ 4\frac{1}{2} \ cup

Hence For 1 cup of peanut Kevin will use \frac{9}{2} \ cups \ \ \ OR \ \ \ 4\frac{1}{2} \ cups of raisins.

5 0
3 years ago
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