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3 years ago

HELP ITS NOW!!!!!!!

Mathematics

2 answers:

DaniilM [7]3 years ago

5 0

Answer:

D. 28 units

Step-by-step explanation:

First, Ada cycled in a straight line from her house to Eve's house, then she cycled from point (-16,-12) to point (-16,4). These points lie on the vertical line, so the distance between these points is

$d_1=|4-(-12)|=|4+12|=|16|=16\ units$

Then, ADa cycled from Eve's house to the community swimming pool, then she cycled from point (-16,4) to point (-4,4). These points lie on the horizontal line, so the distance between these points is

$d_2=|-4-(-16)|=|-4+16|=|12|=12\ units$

The total distance is

$D=d_1+d_2=16+12=28\ units$

Vlad [161]3 years ago

3 0

Answer:

The answer Should be 28

Step-by-step explanation:

I took the exam

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Three fair, standard six-sided dice are rolled. What is the probability that the sum of the numbers on the top faces is 18? Expr

zzz [600]

<h3>Answer: 1/216</h3>

Explanation:

There is only one way to get a sum of 18 and that is rolling three '6's to get 6+6+6 = 18.

There are 6*6*6 = 216 different ways to roll three dice.

Divide the two values to get 1/216

4 0

4 years ago

The point (-3/5,y)in the third quadrant corresponds to angle θ on the unit circle.

anastassius [24]

The given point (-3/5 , y) lies in the third quadrant.
It is also given that the point lies on a unit circle.

For a point (x,y) lying on a unit circle a and y are defined as:

x = cos θ
y = sin θ

So, we can say for the point (-3/5 , y) the value -3/5 is equal to cos θ

sec θ is the reciprocal of cos θ.

So, sec θ = -5/3

$cot\theta= \frac{cos\theta}{sin\theta}$

Using Pythagorean identity we can first find sin θ.

$sin \theta = - \sqrt{1- cos^{2}\theta } \\ \\ 
sin\theta= \sqrt{1-( -\frac{3}{5})^{2} }=- \frac{4}{5}$

Since the point lies in 3rd quadrant, both sin and cos will be negative.

So, now we can write:

$cot\theta= \frac{ \frac{-3}{5} }{ \frac{-4}{5} } \\ \\ 
cot\theta= \frac{3}{4}$

Answers:
sec θ = -5/3
cot θ = 3/4

8 0

3 years ago

Read 2 more answers

A red balloon starts at 7.3 meters off the ground and rises at 2.6 meters per second. A blue balloon starts at 12.4 meters off t

nexus9112 [7]

This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.

Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:

2.6s + 7.3

Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:

1.5s + 12.4

To determine when both balloons are at the same height, we set the two equations equal to each other:

2.6s + 7.3 = 1.5s + 12.4

Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:

1.1s + 7.3 = 12.4

Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:

1.1s = 5.1

Last, we divide both sides by 1.1. So s = 4.63.

This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:

2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33

1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33

After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.

6 0

4 years ago

After a rotation, A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). Which rule describes th

Korvikt [17]

Answer:

Rotated at 90° clockwise about the origin. (RO 90)

Step-by-step explanation:

According to the statement A(–3, 4) maps to A'(4, 3), B(4, –5) maps to B'(–5, –4), and C(1, 6) maps to C'(6, –1). That is to say, that a point in the form P(x, y) maps to P(y, -x) after rotation.

In that sense, if a point P(x, y) maps to P(y, -x) then this happens when the shape denoted by those three points is rotated at 90° clockwise about the origin.

8 0

3 years ago

Read 2 more answers

Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts

Novay_Z [31]

Answer:

11.33 cups

Step-by-step explanation:

240 grams of carbohydrates: x

40 x + 4 x + 26 x = 240

X = 240/70

X = 3 3/7 cups

332 grams of fats = y

0y + 13y + 70y = 332

Y = 332/83

Y = 4 cups

207 grams of proteins = z

5z + 21z + 27z = 207

Z = 207/53

Z = 3 48/53 cups

3 3/7 + 4 + 3 48/53 = 11.33 cups

3 0

3 years ago