A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters. True or false

Given:

Base length of triangle = 10 units

Height of triangle = [tex]\sqrt{44}[/tex] units

Length of hypotenuse of triangle = 12 units

To find:

Exact value of Cos A

Steps:

The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.

So,

Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos A = [tex]\frac{10}{12}[/tex]

Cos A = 0.833

Therefore, the exact value of cos A is 0.833.

Happy to help :)

If u need any help, feel free to ask

Answer:

6 packets

Step-by-step explanation:

3 x 8 = 24

24 / 4 =

6

Answer:55%

Step-by-step explanation:

There are 20 in total with 11 shaded. Percentages are always out of 100,so 20x5=100 and you do the same with 11. So 11x5=55%.

Answer:

see file below.

Step-by-step explanation:

The matching of hyperbolas to their vertices is shown below.

The standard form of the equation of a hyperbola with center (h , k)

and transverse axis parallel to the x-axis is  (x - h)²/a² - (y - k)²/b² = 1

1. (x + 2)²/3² - (y - 5)²/4² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 3 , b = 4 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (1 , 5) , (-5 , 5)

2. (x - 4)²/8² - (y + 2)²/9² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 9 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

3. (y + 5)²/15² - (x - 1)²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 15 , b = 8 , h = -5 , k = 1

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-20 , 1) , (10 , 1)

4. (x - 4)²/8² - (y + 2)²/6² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 8 , b = 6 , h = 4 , k = -2

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (12 , -2) , (-4 , -2)

5.  (y - 3 )²/6² - (x + 7 )²/5² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 6 , b = 5 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-3 , -7) , (9, -7)

6. (x - 3)²/5² - (y + 7)²/10² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 5 , b = 10 , h = 3 , k = -7

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (-2 , -7) , (8 , -7)

7. (y - 5 )²/7² - (x + 2 )²/8² = 1

As, the standard form (x - h)²/a² - (y - k)²/b² = 1

Here a = 7 , b = 8 , h = -2 , k = 5

So, The coordinates of the vertices are (h ± a , k)

The coordinates of the vertices are (5 , 5) , (-9, 5)

Learn more about Hyperbola here:

https://brainly.com/question/12932018

#SPJ7

Answer:

35.5m

Explanation:

Find the diagram attached

First you need to get the missing side of the triangular pool using the pythagoras theorem;

Let the missing side be x

x² = 15² - 13²

x² = 225 - 169

x² = 56

x = √56

x = 7.48m

Amount of meter of fence needed is the perimeter of the triangular pool

perimeter of the triangular pool = 15 + 13 + 7.48

perimeter of the triangular pool = 35.48m

perimeter of the triangular pool = 35.5m

Hence the amount of meters of fence needed is 35.5m

Answer:

function is #4

domain is #2

range is #3

a vertical line test is #5

practical range is#8

practical domain is#7

function notation is#6

relation is #1

Step-by-step explanation:

hope this helps:)

Answer:

Step-by-step explanation:

Answer:

3/11

Step-by-step explanation:

3/25 = 0.12

3/16 = 0.1875

3/8 = 0.375

3/11 = 0.27272727272727...

The only one that has a repeating decimal is 3/11.

Answer:y=0+3.2

The answer is y=0+-3.2

Answer:

35

Step-by-step explanation:

track the number to the other side of the graph

Answer:

6.69

Step-by-step explanation:

the radius is from the outside of the circle to the center and the diameter is completely through so you would times 3.345 by 2 to get 6.69 which is your diameter

Answer:

6.69

Step-by-step explanation:

radius is D/2

therefore, r =d/2

so therefore, 2×r=d

that is: 2×3.345 = 6.69

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

b

Step-by-step explanation:

0.223 rounds to 0.2 and 0.54 rounds to 0.5 so 0.5-0.2

Answer: 2¹/₄ cups of water

Step-by-step explanation:

The formula calls for water and lemon juice to be mixed in the ratio:

1/2   :    1/3

If the quantity of lemon juice increases to 1 1/2 which is 3/2 then you can find the quantity of water required using direct proportion:

1/2            :             1/3

x               :             3/2

Cross multiply to get:

1/3 x = 3/4

x = 3/4 ÷ 1/3

x = 3/4 * 3/1

x = 9/4

x = 2¹/₄ cups of water

Answer:

88

Step-by-step explanation:

(82+91+79+85+s) ÷ 5 ≤ 85

(337 + s) ÷ 5 ≤ 85

cross-multiply to get:

337 + s ≤ 85(5)

337 + x ≤ 425

x ≤ 425 - 337

x ≤ 88

Answer:

a 120

Step-by-step explanation:

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

More can be learned about Type I and Type II errors at https://brainly.com/question/25225353

#SPJ2

Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

or

[tex]y + (-y) = 0[/tex]

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

Answer:

x intercepts are (-3,0) and (5,0), axis of symmetry is x=1, and vertex is (1,16), domain is (-infinity, infinity) and range is (-infinity, 16], maximum is (1,16) and minimum is -infinity, the y intercept is (0,15)

Step-by-step explanation:

Answer:

X=12

Step-by-step explanation:

since it is an isosceles triangle opposite sides are congruent which means 7x+24=13x-48 you then would need to subtract either the whole numbers or the variables from each side so add 48 on each side it equals to 7x+72=13x then subtract 7x from 13x and you get 72=6x divide both sides 6/6=x, 72/6 Therefore x=12 HOPE that helped mark me brainiest pls

Answer: x = 12

Step-by-step explanation:

There are two triangles. The two vertical lines on the legs at the top indicate that those two sides are congruent or equal to each other. The line down the middle with the right angle box shows that the two triangles share a common side. This would show the two triangles are congruent through Side/Angle/Side. This would indicate that the two sides with equations are equal to each other. That being said, you can setup the equations to equal one another to solve for x:

[tex]7x + 24 = 13x - 48[/tex]

Now, you would just solve this like a normal equation. I would subtract the 7x from both sides a well as add the 48 to both sides. This would result to: [tex]72 = 6x[/tex]

Dividing both sides by 6 would get you:

[tex]x = 12[/tex]

Answer: 365 days five hours 40 minutes 45 seconds

Step-by-step explanation:

Answer:

42 yard

Step-by-step explanation:

Area of deck = total area - area of pool

area of a rectangle = length x width

5 x 6 = 30

72 - 30 = 42

Step-by-step explanation:

[tex] \sf ➜ {h}^{2} = {p}^{2} + {b}^{2} \\ \sf ➜ {(8.1)}^{2} = {(6.8)}^{2} + {x}^{2} \\ \sf ➜ {x}^{2} = {(8.1)}^{2} - {(6.8)}^{2} \\ \sf ➜ {x} = \sqrt{ {(8.1)}^{2} - {(6.8)}^{2} } \\ \sf ➜ x = \sqrt{65.6 - 46.2} \\ \sf ➜x = 19.4[/tex]

Answer:

X = 5

Step-by-step explanation:

You always do the inverse (opposite). 20 - 15 = 5, therefore the variable 'X' = 5. Also, if you add '6' to 'X', then it shall be ONE greater than 20.

Answer:

any real number greater than 5

Step-by-step explanation:

X+15> 20

X>20-15

X>5

(5,∞)

you can easily know by ;- 6+15>20

21>20 it's true

Answer:

Male: 38 46 84

Female: 88 24 112

Total: 126 70 196

Answer:

B

Step-by-step explanation:

The answer is B as it is the only one in which the shape at the bottom remains the cross section shape for the object. For example in a sphere the cross section near the bottom wouldn't be the same as the one at the middle. The only shape that does have the same cross section all the time is the cuboid so it is the answer

Answer:

23

Step-by-step explanation:

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]