Raja drove from A to B at an average speed of 50mph

The distance between A to B is 10 Miles

Raja took 30 minutes to drive from A to C

He drove from A to C at an average speed of 62mph

Work out Raja’s average speed as he drove from B to C

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

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:

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)

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Answer:

i dont know

Step-by-step explanation:

i dont know

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:

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: 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:

Step-by-step explanation:

Answer:y=0+3.2

The answer is y=0+-3.2

Answer:

Male: 38 46 84

Female: 88 24 112

Total: 126 70 196

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:

6 packets

Step-by-step explanation:

3 x 8 = 24

24 / 4 =

6

Answer:

23

Step-by-step explanation:

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:

b

Step-by-step explanation:

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

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]

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:

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:

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: 365 days five hours 40 minutes 45 seconds

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:

a 120

Step-by-step explanation:

Answer:

(0,5/9)

Step-by-step explanation:

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

The coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

A unit circle is just a circle that has a radius with a length of 1. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

The given drawing is the graph of the unit circle on the X – Y Coordinate Axis.

It can be seen from the graph, that the unit circle is defined as having a Radius ( r ) = 1.

Going from Quadrant I to Quadrant IV, counter clockwise, the Coordinate points on the axis of the unit circle are:

(1, 0), (0, 1), (-1, 0), and (0, -1)

This is important to remember when we define the X and Y Coordinates around the unit circle. The Unit Circle has 360°. In the given graph, the Unit Circle is divided into 4 Quadrants that split the unit circle into 4 equal pieces. Each piece is exactly 90°.

From the diagram we can clearly say that the coordinates of the point on the unit circle at the given angle 180 degrees is (-1, 0).

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Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

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:

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.

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Answer:

c

Step-by-step explanation:

hi

The domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

The domain is the set of all the input values given to a function.

Given is an expression f(x) = 5x - 7, we need to find the domain,

We know that,

The domain of any expression is set to all the real numbers, except where the expression is undefined.

Therefore, the domain is all real numbers.

Also,

The graph of the function will be a straight line without discontinuities.

Hence the domain of f(x) = 5x - 7 is {x | x is a real number} and this can be denoted as (-∞, ∞) for all x ∈ R.

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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]