What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C.

The total cost to rent a row boat is $16 times the number of hours the boat is used. write an equation to model this situation i

KATRIN_1 [288]

The equation is as follows

c = 16h

4 0

3 years ago

What is the measure of 78°

artcher [175]

Answer:

51

∘

and

129

∘

Explanation:

Angles that are supplements sum to

180

∘

.

This means if one angle is called

A

∘

, the other angle is

(

A

−

78

)

∘

A

+

A

−

78

=

180

2

A

−

78

=

180

2

A

=

258

A

=

258

2

=

129

∘

A

−

78

=

129

−

78

=

51

∘

Step-by-step explanation:

4 0

4 years ago

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

HELPP RUNNING OUT OF TIME

Semenov [28]

$6^{3}=216$

Therefore answer is B.

$6^{0}=1$
$6^{1}=6$
$6^{2}=36$
$6^{4}=1296$

3 0

3 years ago

Read 2 more answers

For breakfast, a customer can choose two different items from the following list: eggs pancakes waffles oatmeal bacon or muffin.

Colt1911 [192]

${ 6\choose 2}=\frac{6!}{2!4!}=\frac{6\cdot5}{2}=3\cdot5=15$

6 0

3 years ago

What is the slope of the line containing (–3, 1) and (1, –2)? A. 3/4B. –4/3 C. –3/4 D.4/3