What is a diameter and what is a radius?

Answer:

194.4

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 9 x 0.5 x 7.2 x 6 = 194.4

hope this helps :)

The value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Consider getting a 6 as a success. In this example, the chance of getting a 6 in a single spin is 1/6. The number of 6s in 50 spins can be considered a binomial random variable. Then, if X is the number of trials, we receive a score of 6 out of 50. Then there's the model below.

[tex]\rm P(X = k) = \binom{50}{K}\binom{1}{6}^k\binom{5}{6}^{50-k}[/tex]

From the binomial random variable of n trials with a probability of success of p.

We will have, n = 50, p = 1/6

Number of times Stacey would spin a 6 = 8.33

Thus, the value of n is 50 and probability is 1/6, and 8.33 number of times Stacey would spin a 6.

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To solve this problem, we must consider all the trigonometric equations:

 ⇒ (see image below)

Let's examine the diagram:

Thus we can use:

 [tex]cos(A)=\frac{35}{53} \\A= cos^{-1}(\frac{35}{53})\\ A = 48.67[/tex]

Answer: 49 degrees (as rounded)

Hope that helps!

i could say you are correct.

 kaii~ <3

Answer:

See picture above

Explanation:

Hope this helps and have a nice day

Answer:

262 1/2 liters

Step-by-step explanation:

Remaining water in tank :

Answer:

262.5 litres

Step-by-step explanation:

Water taken from the tank

⇒ 11 × 12.5 litres = 137.5 litres

Water left in tank

⇒ 400 - 137.5 = 262.5 litres

Answer:

(a) 19.63 ft

(b) 147.26 ft^2

Step-by-step explanation:

(a) 75/360 degrees . 2 . pi . 15 = 19.63

(b) 75/360 degrees. pi . 15^2 = 147.26

Answer:

a) 19.63 ft (2 dp)

b) 147.26 ft² (2 dp)

Step-by-step explanation:

To find the length of the curved fence, use the formula for arc length of a circle.

To find the area of the vegetable garden, use the formula for area of a sector of a circle.

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]

Step-by-step explanation:

[tex]\huge{\color{black}{\fbox{\color{pink}{\colorbox{pink}{\color{red}{Answer ✨☑️}}}}}}[/tex]

The number of terms are 8. Step-by-step explanation: Given : The sum n terms of an A.P is 136 the common difference is 4 and last term is 31.

Answer:

Sn=2n{2a+(n−1)d}

a+(n−1)d=31⇒a=31−4(n−1)

∴136=2n{2[31−4(n−1)]+(n−1)d}

n[70−8n+4n−4]=272

n(66−4n)=272

4n2−66n+272=0

2n2−33n+136=0

2n(n−8)−17(n−8)=0

(2n−17)(n−8)=0

∴n=8

Answer:

c) 18 cm²

d) 30 cm²

Step-by-step explanation:

c)

You can do this 2 different ways. Either way, you need to use the bottom side of 8 cm and the two congruent segments. Each of the two congruent segments of the bottom side measures 4 cm.

Method 1) Find the area of the large triangle and subtract from it the area of the small triangle.

area of triangle = bh/2

shaded area = 8 cm × 6 cm / 2 - 4 cm × 3 cm / 2

shaded area = 24 cm² - 6 cm²

shaded area = 18 cm²

Method 2) The shaded region is a trapezoid with parallel bases of lengths 3 cm and 6 cm and height 4 cm. Find the area of the trapezoid.

area of trapezoid = (B + b)h/2

shaded area = (6 cm + 3 cm)(4 cm)/2

shaded area = (9 cm)(4 cm)/2

shaded area = 18 cm²

d)

The area of the shaded region is the area of the white triangle subtracted from the area of the rectangle.

area of rectangle = length × width

area of triangle = bh/2

shaded area = (12 cm)(4 cm) - (9 cm)(4 cm)/2

shaded area = 48 cm² - 18 cm²

shaded area = 30 cm²

Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

- - - - -

S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

- - - - - - - - - - -

2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

- - - - - - - - - - - - - - - - - -

Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

⇒ x = 12

Step-by-step explanation:

6) The sum of the length of any two sides of a triangle is always equal to the third side.

Option C 3,4,7

7) The sum of the length of any two sides of a triangle is always equal to the third side.

Option B 5 units

8) The sum of the length of any two sides of a triangle is always equal to the third side.

Option D 13 units

9) The sum of the length of any two sides of a triangle is always equal to the third side.

Option A 5<x<13

Answer:

Your answer is: 36!

Step-by-step explanation:

Hope this helped :)

Answer:

Step-by-step explanation:

800 J/kgC

What is the specific heat of a material that gains 600 joules of energy when a 0.25 kg object increases in temperature by 3C?

it is 800 J/kgC

Answer:

Given that certificate of deposits earns 0.75% interest every three months, the value of $25,000 after 8 years will be:

A=P(1+r/100)^nt

where:

A=amount

P=principle

r=rate

t=time

n=number of terms

thus:

from the infomation

$25000, r=0.75%, t=8 years, n=12/3=4

thus

A=25000(1+0.0075/100)^(4*8)

A=25000(1.0075)^32

A=$3175.28

Step-by-step explanation:

Check the picture below.

Using an exponential function, it is found that the population of Clay County will be of $13,482.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

In this problem, the current population is 10,300 people, with a growth rate of 3%, hence A(0) = 10,300 and r = 0.03.

The equation is given by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

[tex]A(t) = 10300(1 + 0.03)^t[/tex]

[tex]A(t) = 10300(1.03)^t[/tex]

Hence, in 10 years, the population will be given by:

[tex]A(10) = 10300(1.03)^{10} = 13842[/tex]

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Answer: 7,595

Step-by-step explanation:

ixl

The coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

The points are given as:

Z ( -1,-4) , Y (0,-2), X (4,0), and W (3,-4)

The rule of rotation around the origin counterclockwise by 90 degrees is

(x,y) => (-y,x)

Using the above rule, we have:

Z' = (4,-1)

Y' = (2,0)

X' = (0,4)

W' = (4,3)

Hence, the coordinates of the rotated image are Z' = (4,-1), Y' = (2,0), X' = (0,4) and W' = (4,3)

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Step-by-step explanation:

because its formula is 4L

Answer:

See below

Step-by-step explanation:

I don't see any graphs, but if you solve the inequality by dividing 3 on both sides, you get [tex]m > 7[/tex]. This means that all [tex]m[/tex] greater than 7, except 7 itself, are included in the solution set.

Ideally, I assume the answer would be a number line with an open circle at m=7 to show it is not included, and then a shaded arrow pointing to the right to show all possible solutions greater than 7.

The area of the kite will be C. 14 square units.

From the information given, on coordinate plane, kite w x y z has points (1, 1), (3, 4), (5, 1),

The area of the kite will be;

= 2(1/2 × 7 × 2)

= 2 ×7

= 14 units²

Therefore, the area of the kite will be 14 square units.

In conclusion, the correct option is C.

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Answer:

14 square units

Step-by-step explanation:

Answer:

Qualities variable, because eye color is something you observe from a study on someone. Eye color cannot be observed very well from a quantitive variable, because quantitive variables record height, weight, and other statistics other than eye color.

Answer:

50%

Step-by-step explanation:

[tex] \frac{17}{34} = \frac{1}{2} = 50\%[/tex]

Answer:

  72

Step-by-step explanation:

The two right triangles are congruent by the HA congruence theorem, so corresponding sides have the same length.

  QR = QT

  3p = p +48 . . . . . . substitute the given measure expressions

  2p = 48 . . . . . . . subtract p

  p = 24 . . . . . . . divide by 2

  QT = p +48 = 24 +48 . . . . . use the value of p in the expression for QT

  QT = 72

Answer:

Jamel work one job per hour pays =$10

Jamel work Another pays=$15

Jamel Uniform costs=$50

Total situation=$7,500

Hi Student!

Reading the question we can pull out specific bits of information that would help us find our answer.  One of the bits of information that is useful is that we are trying to find the perpendicular line.  However, in order to determine a line that is perpendicular to the other line we first need to determine the slope of the first line.  Looking at the equation given, we can see that it follows the y = mx + b form where m is the slope and in this case our slope is 8.

Now that we have completed the information gathering, we can move onto the next part which is determining a slope that is perpendicular to that of the original line.  In order to find that we first need to negate our slope which would turn our 8 into a -8.  The second step that we need to do is take the reciprocal of the number which means that we basically flip the number and so we convert -8 into -1/8.  Looking at the given options, there is none that match our answer so that either means that the question is wrong or the choices that are given are wrong.

Answer:

320

Step-by-step explanation:

20*2 = 40

360 - 40 = 320

Using translation concepts, it is found that graph D represents the function f(x) = tan(x + 1).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The function f(x) = tan(x + 1) is a translation of one unit to the left of g(x) = tan(x), which has g(0) = 0, hence at the translated function g(-1) = 0, which means that graph D represents the function f(x).

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