find the value of x and y​

Answer:

(2)   6.1

tep-by-step explanation:

∠Y is a right angle, so ΔXYZ is a right triangle

[tex]XZ^{2} = XY^{2} + YZ^{2}[/tex]

[tex]XZ^{2} = 7^{2} + 10^{2}[/tex] = 49 + 100 = 149

XZ = [tex]\sqrt{149}[/tex] = 12.2

XZ is the diameter of the semicircle, therefore, the radius is 12.2/2 = 6.1

Answer:

12 years

Step-by-step explanation:

Given that

P = 5,600 e^0.0591

Reaching amount = 11,200

time period = t

We need to find out the time period i.e. t

So,

11,200 =  5,600 e^0.0591t

2 =  e^0.0591t

Now take the log on both the sides

ln2 = 0.0591t ln

t = ln2 ÷ 0.059

= 0.693147÷ 0.059

= 11.748

= 12 years

Answer:

2A

6X^2

Step-by-step explanation:

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

Answer:

The scale factor is 1/4

Step-by-step explanation:

20/5 = 4

Answer:

1) x = 50 m

2) Max area = 22500 m²

3) Max area of each pen = 1500 m²

4) y = 150 m

5) dimensions of pen are 50m and 30m

6) Graph is attached

Step-by-step explanation:

Area of a rectangle is length × width

Let length be y and let width be x

Thus;

A = xy

Fencing material is 600m

Thus,perimeter = 600

Perimeter is; P = 6(length) + 2(width)

Thus;

600 = 6x + 2y

y = (600 - 6x)/2

y = 300 - 3x

Thus,

A = x(300 - 3x)

A = -3x² + 300x

We can see that the coefficient of x² is negative. This means that the parabola will open downward and has a maximum value at the vertex.

The vertex formula is;

x = -b/2a

a = -3

b = 300

Thus;

x = -300/(2 × -3)

x = 50 m

Since y = 300 - 3x, then;

y = 300 - 3(50)

y = 150 m

Maximum area of entire garden = xy = 50 × 150 = 7500 m²

There are 5 pens, thus;

Max area of each pen = max area of entire garden/5 = 7500/5

Max area of each pen = 1500 m²

Dimensions of each pen will be;

x and y/5

>> x = 50 m and y/5 = 150/5 = 30m

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

Answer:

Let x represent minutes.

The inequality derived from the question is...

58 > 18 + 5x

Solve for x...

58 > 18 + 5x

58 - 18 > 5x

40 > 5x

40/5 > x

8 > x

So it will take more than 8 minutes to have 58 liters.

Step-by-step explanation:

Answer

True I’d think

Step-by-step explanation:

Answer:

(random name) drinks 3/8 of the lemonade then later drinks 6/8 of the cranberry juice before (random name) goes to bed they put the lemonade and the cranberry juice together. How much is in the cup now?

Step-by-step explanation:

Answer:

BAC=15

Step-by-step explanation:

angle BOA= 180-30= 150

triangle BAO is   isosceles because it has two equal sides, radii of a circumference so the angles ABO=BAO=(180-150)/2=15

Answer:

9w-15x+3

Step-by-step explanation:

3(3W – 5x + 1); using distributive property

3 times 3w= 9w

3 times -5x= -15x

3 times 1=3

combine; 9w-15x+3

Answer: the answer is 29.3

Step-by-step explanation:

Answer:

i think its (687.79)

Step-by-step explanation:

Answer:

687.79

Step-by-step explanation:

since when the number before the digit is five above

And 8 is the hundredth , the one after eight is 5 so it gives 1 to eight that's how you get your answer

Answer:

C

Step-by-step explanation:

Answer:

The equation of the circle is;

(x - [(-1))² + (y - [7])² = 8

Step-by-step explanation:

The given coordinates of the points P and Q are;

P = (-3, 5) and Q = (1, 9)

To find the equation of the circle that has segment PQ as a diameter

The equation of a circle is (x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

Given that segment PQ is the diameter of the circle, we have;

The center of the circle, O = The midpoint of PQ

The coordinates of the midpoint of segment PQ, O = ((-3 + 1)/2, (5 + 9)/2) = (-1, 7)

∴ The coordinates of the center of the circle, O = The coordinates of the midpoint of segment PQ = (-1, 7)

Therefore;

h = -1, k = 7

From PQ = The diameter of the required circle, we also have;

The length of PQ = 2 × (The radius of the circle) = 2 × r

The length of segment PQ = √((1 - (-3))² + (9 - 5)²) = √32 = 4·√2

Therefore;

The length of PQ = 4·√2 = 2 × r

r = (4·√2)/2 = 2·√2

r = 2·√2

r² = (2·√2)² = 8

r² = 8

The equation of the circle is therefore;

(x - h)² + (y - k)² = r²

(x - (-1))² + (y - 7)² = 8.

Answer:

(0,1) is the answer

Step-by-step explanation:

hope it helped!!!

Answer:

C

Step-by-step explanation:

I used a calculator I honestly couldn't figure out the math behind that

Step-by-step explanation:

Answer:

it's b on edge

Step-by-step explanation:

The slope of the lines remains the same. Then the equation of the parallel line that is passing through the point (6, 9) is 2x - 3y + 15 = 0.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of a line L is 2x-3y = 6

The slope of the line is 2/3.

Then the equation of the line which is parallel to L and passes through the point (6,9) will be

The slope of the lines remains the same. Then the equation of the line will be

[tex]\rm y = \dfrac{2}{3}x + c[/tex]

Then the line is passing through (6, 9), then we have

[tex]\rm 9= \dfrac{2}{3}(6) + c\\\\c = 5[/tex]

Then the equation of the parallel line will be

[tex]\begin{aligned} y &= \dfrac{2}{3}x + 5\\\\2x - 3y &=-15 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer: median

Step-by-step explanation:

Answer: I think the red one I am not 100%

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Answer:

the answer is 203

Step-by-step explanation:

you divided 290 by 10 then multiply your answer by 7

Answer:

To find the surface area of a rectangular prism you must multiple the length and the width. You can choose the top and do 2(L*W) and one of the square sides 2(L*W) and the front 2(L*W) and add it all up.

2(L*W)+2(L*W)+2(L*W)= surface area

There is a 2 because there are two side of a rectangular that are the same. Since there are 6 sides on a rectangle. Only 3 pairs are similar.

Hope this helps :)

Answer:

987 milmeters equal to 98.7 centimeters

Step-by-step explanation:

To figure these kinds of problems divide the millimeter by 10 and you will get the centimeter value.

Hope that helps!

Answer:

20%, 16%, greater than

Step-by-step explanation:

1/5*100= 20% 250*20%=50 times 1 is picked up.

Ex. Probability: 40/250*100= 16%

Hopes this makes sense!

Answer: Your welcome!

Step-by-step explanation:

The theoretical probability of choosing a card with the number 1 is 20%. The experimental probability of choosing a card with the number 1 is 16%. The theoretical probability is greater than the experimental probability. This is because the theoretical probability is based on the assumption that each card has an equal chance of being chosen, while the experimental probability is based on the actual results of the survey, which showed that 16% of the people chose a card with the number 1.

Answer:

[tex]y=2(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = [tex]\frac{1}{3}[/tex]

Therefore, equation of the exponential function will be,

[tex]y=2(\frac{1}{3})^x[/tex]

Answer:

One way to check is 102 ÷ 6 = 17 is 100 ÷ 5 = 20. 

Answer:

letter a

Step-by-step explanation: