Question Progress
Homework Progress
y is directly proportional to x.
When y = 30, x = 6
Work out an equation connecting y and x.

Answer:

Step-by-step explanation:

The foci are horizontally aligned.

horizontal ellipse:

(x-h)²/a² + (y-k)²/b² = 1

center (h,k)

vertices (h±a,k)

length of minor axis = 2b

foci (h±c,k), c² = a²-b²

Apply your data and solve for h, k, a, and b.

foci (±3√19, 6)

h = 0

k = 6

Length of minor axis = 2b = 10

b = 5

foci (h±3√19, 6)

c = 3√19

c³ = a² - b²

171 = a² - 25

a²  = 196

x²/196 + (y-6)²/25 = 1

Answer:

i think its b srry if im wrong

Step-by-step explanation:

Answer:

40 meter

Step-by-step explanation:

Answer:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench

Answer:

So the trench is 37.5 feet wide

Step-by-step explanation:

The trench with telescope is 18 feet higher than the other.

The height of telescope is 4.5 feet.

Total height = 18 + 4.5 = 22.5

Now, we can see in the figure that the distances between telescope and the opposite trench, the height and width makes a right angled triangle.

So, perpendicular = total height = 22.5

base = wideness of the trench

We know,

Tan 31 = p/b

tan 31 = 22.5/b

b = 22.5 / 0.6

b = 37.5

Answer:

Sample 1: P(R)=6/800

Step-by-step explanation:

The formula of probability is = no of possible cases upon number of total cases

Answer:

The value of point B is not given, so i will answer in a general way.

A general line equation is written as:

y = a*x +b

Where a is the slope of the line and b is the y-intercept.

In this case, we know that the slope is equal to -(5/2)

Then our line is something like:

y = -(5/2)*x + b

Now we know that this line passes through the point B (but we do not know the coordinates of this point)

Then I will assume that the point B is (xₙ, yₙ)

If this line passes through that point, this means that when we evaluate our line in x = xₙ, then y = yₙ

If we replace these values in the line equation we get:

yₙ = (-5/2)*xₙ + b

then:

b = yₙ + (5/2)*xₙ

So knowing the coordinates of point B, we could find the complete equation of the line.

Answer:

option 3..

aef+fed=90, aeg+ceg=90

Answer:

Blue balloons : 63, 7, 14

Red balloons : 45, 5, 10

14 balloons in a group that has 10 red balloons

Step-by-step explanation:

First, 63/9 = 7, so 45/9 = 5.

Second,  5 x 2 = 10, so 7 x 2 = 14

Hope this helps!

Answer:(c)

Step-by-step explanation:

Given

Inequality is [tex]10x+18\leq 238[/tex]

Subtract [tex]18[/tex] from both side of the inequality

[tex]\Rightarrow 10x+18-18\leq 238-18\\\Rightarrow 10x\leq 220[/tex]

divide both sides by 10

[tex]\Rightarrow \frac{10x}{10}\leq \frac{220}{10}\\\Rightarrow x\leq 22[/tex]

Therefore, maximum value of x can be 22 i.e. at most 22 days

Answer:

They each get 1 3/4 pounds of cashews

Step-by-step explanation:

7 ÷ 4 = 1.75

1.75 ( 1 3/4)

Answer:

18 cm

Step-by-step explanation:

From the question above,

Area of a rhombus

A = d₁d₂/2.................. Equation 1

Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal

make d₂ the subject of the equation

d₂ = 2A/d₁...............  equation 2

Given: A = 72 cm², d₁ = 8 cm

Substitute these values into equation 2

d₂ = (2×72)/8

d₂ = 144/8

d₂ = 18 cm.

Answer:

5

Step-by-step explanation:

the greatest common factor of 50, 15, and 45 is 5

Given :

we need to find the greatest common factor of 50, 15, and 45

Lets write the prime factors for each number

Prime factors

[tex]50 =5 \cdot 5 \cdot 2\\15= 5 \cdot 3\\45= 3 \cdot 3\cdot 5[/tex]

Now we look at the common factor for all the three numbers

Greatest common factor is 5

the greatest common factor of 50, 15, and 45 is 5

Learn more : //brainly.com/question/219464

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

Answer:

D. 4.5

Step-by-step explanation:

Answer:

(4,5)

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

a _______________________________

Answer:

a

Step-by-step explanation:

2 x 4 is 8

2.5 x 4 is 10

3 x 4 is 12

Answer:

the answer is 40/100 × 20

Answer:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi

Answer:

175.93

Step-by-step explanation:

The measure of angle A from the given right angle triangle ABC is 55.15°.

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

From the given right angle triangle ABC, we have

AB=7 units and AC=4 units

Now, cosA=AC/AB

cosA=4/7

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

A= 55.15°

Therefore, the measure of angle A is 55.15°.

To learn more about the heights and distance visit:

brainly.com/question/24271007.

#SPJ1

Answer:

its A

Step-by-step explanation: sorry if wrong but if i am right mark as brainliest please.

Answer:

a squared + b squared = c squared

option 1 is the right answered. pythagoras theorum basically helps you find the third side/line of the triangle a^2 + b^2 = c^2.

Step-by-step explanation:

[If (r, ) are polar coordinates of the point (x, y) with r > 0, note that not a. ... + y2) In(x2 + y2) (x,y) → (0,0) DNE X Find h(x, y) = g(f(x, y)). g(t) = t + In(t), f(x, y) = 3 - xy 4 ...

Answer:

Speed = 1.0625 km / sec

Step-by-step explanation:

Distance = 34 kilometers

Time = 32 seconds

Speed = ?

The relationship between these quantities is given as;

Speed =  Distance / Time

Inserting the values;

Speed = 34 km / 32 sec

Speed = 1.0625 km / sec

Answer:

jsjshisjsjiiiiiii>iiiiuuuu

Answer:

x=85

y=45

Step-by-step explanation:

using the sum of a straight angle:

x+95=180

x=85

then we can use the sum of the inner angles of a triangle:

50+85+y=180

y=45

Answer:

The perimeter of this figure can be found by counting the number of 0.5 lines it takes to go one full circle around the figure.

In this case, there are 42 of these 0.5 lines.

So, if there  are 42 of these 0.5 lines, the  perimeter of the  figure would just be: 42 times 0.5, which is equal to 21 cm.

Let me know  if this helps!

Answer:

its aops. 21

Step-by-step explanation:

Answer:

x= +2, -2

hope it helps you

Answer:

39.99

.................

Answer:

39 99

Step-by-step explanation:

39 99/ 100 = (39 x 100 + 99) / 100

= 3999/100

= 39.99

First Problem:

Equation -- 180 = x + 168

x = 12 Degrees

Second Problem:

Equation -- 180 = x+108

x = 72 Degrees

Third Problem:

Equation -- 180 = x +82

x = 98

Answer:

[tex]11 \sqrt{3} [/tex]

Step-by-step explanation:

[tex]11 \sqrt{3} [/tex]

hope it helps you

Answer:

11[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify [tex]\sqrt{27}[/tex]

[tex]\sqrt{27}[/tex]

= [tex]\sqrt{9(3)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

Then

5[tex]\sqrt{3}[/tex] + 2(3[tex]\sqrt{3}[/tex] )

= 5[tex]\sqrt{3}[/tex] + 6[tex]\sqrt{3}[/tex]

= 11[tex]\sqrt{3}[/tex]