An equilateral triangle has perimeter 30. What is the height of the triangle?

Answer:

3

Step-by-step explanation:

Both angles are congruent because they are opposite exterior angles.

6x+2=x+17

5x=15

x=3

Answer:

x = 23 °

Step-by-step explanation:

6 x + 2 ° + x + 17 ° = 180 °

combine like terms

6x + x + 2 ° + 17 ° = 180 °

7 x + 19 ° = 180 °

7 x = 180 ° - 19 °

7 x = 161 °

x = 161 ° / 7

x = 23 °

Answer:

He has 26 students

Step-by-step explanation:

78/3=26

Answer:

Ravi’s present age will be 5.

Step-by-step explanation:

From the given, Let Ravi’s present age is taken as "a" years.  

After 15 years, his age = (a+15) years.  

By the given, it is identified that the age of Ravi after 15 years is equal to the 4 times of his present age.

Given,  

[tex]a+15+4a\\4a-a+15\\3a=15\\a=15/3\\a=5[/tex]

Then, it has been found that the present age of Ravi is 5 when his age after 15 years will be 4 times of his present age.  

6 I think Sry if I wrong________

Answer:

768 in²

Step-by-step explanation:

Surface Area = 2(15*14) + 2(15*6) + 2(14*6)

Surface Area = 2(210 + 90 + 84)

Surface Area = 2(384)

Surface Area = 768

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

768 in²

Step-by-step explanation:

i got it right on the test

Answer:

y=2

Step-by-step explanation:

53y–16= 90

53y=90+16

53y=106

y=106/53

y=2

Answer:

y = 2

Step-by-step explanation:

If one side of a triangle inscribed in a circle is a diameter of the circle, then the triangle is a right triangle and the angle opposite the diameter is the right angle.

Therefor

53y - 16 = 90

add 16 to both sides

53y = 106

Divide both sides by 53

y = 106/53

y = 2

Answer:

No, 2/3 sqrt(5) k^(11/2)

Step-by-step explanation:

Answer:

yes he simplified correctly

Step-by-step explanation:

got this question right on edg

Answer:17

Step-by-step explanation:

Because i know its the right answer and i guessed sorry if its wrong

Answer:

17

Step-by-step explanation:

Answer: 1/10

Step-by-step explanation: These two events are independent, meaning the outcome of the first event doesn't affect the outcome of the second.

To find the probability of independent events, first, find the

probability of each event, then multiplies the probabilities.

The probability of spinning an A on the first spinner is 1/5

since there is 1 favorable outcome and 5 total outcomes.

The probability of spinning an odd number on the second spinner

is 3/6 which simplifies to 1/2 since there are 3 favorable outcomes,

spinning a 1, 3, or another 3 since these are odd numbers.

So now we have 1/5 × 1/2 and when multiplying fractions,

we multiply across the numerators and denominators to get 1/10.

So the probability of spinning an A, then an odd number is 1/10.

Answer:

firstly a triangle has angle sum of 180°

Step-by-step explanation:

let all the three angles be x,y and z such that x+y+z =180°

let x= 58° and y =59°

the to calculate for the unknown z angle ;

make z subject of the formula

thus z= 180° -x-y

> z= (180-58-59)°

z= 180-117

z= 63°

Answer:

63

Step-by-step explanation:

59 + 58 = 117

180 - 117 = 63

To find a third angle you will subtract the sum of the two given angles from 180 because all you have to know is that all of the angles in a triangle always add up to 180°.

i hope this helps. i don't know how to explain

Step-by-step explanation:

this is solution for your question

x= -4

y= -7

Hope it helps you...

Answer:

The radius is 18.3cm

Step-by-step explanation:

Given

[tex]V = 25500cm^3[/tex]

Required

The radius, r

The volume (V) of a sphere is:

[tex]V = \frac{4}{3}\pi r^3[/tex]

So, we have:

[tex]25500 = \frac{4}{3}\pi r^3[/tex]

Solve for r

[tex]\pi r^3 = 25500 * \frac{3}{4}[/tex]

[tex]\pi r^3 = 19125[/tex]

Divide by [tex]\pi[/tex]

[tex]r^3 = \frac{19125}{\pi }[/tex]

[tex]r^3 = \frac{19125}{3.14}[/tex]

[tex]r^3 = 6090.8[/tex]

Take cube roots

[tex]r = 18.3[/tex] -- approximated

Answer:

9

Step-by-step explanation:

6÷2(1+2)=

Parentheses first

6÷2(3)=

Then multiply and divide from left to right

Divide first

3*3

Then multiply

9

Answer:

It is 9

Step-by-step explanation:

You start with the numbers in the parenthesis first then you do the division and then multiple those two answers together.

(1 + 2) = 3

6 ÷ 2 = 3

3 x 3 = 9

Answer:

Volume of air inside the cylinder = 71.6 cm³

Step-by-step explanation:

Step 1: Determine height and radius of the cylinder

Since the three tennis balls fits in closely into the cylindrical container, the height of the cylinder is equal to the sum ofnthe diameters of the three balls.

Also, the radius of the cylinder is equal to the radius of the tennis balls.

Height of cylinder = 3 × 4.5 cm = 13.5 cm

Radius of cylinder/balls = diameter of ball / 2 = 4.5 cm / 2 = 2.25 cm

Step 2: Determination of the volume of the cylinder

Volume of a cylinder = πr²h

π = 22/7; r = 2.25 cm; h = 13.5 cm

Volume of cylinder = 22/7 × (2.25 cm)² × 13.5 cm

Volume of cylinder = 214.8 cm³

Step 3: Determining the volume of the three balls

Volume of a sphere = 4πr³/3

Volume of three balls = 4πr³/3 × 3 = 4πr³

Volume of the three balls = 4 × 22/7 × (2.25 cm)³ = 143.2 cm³

Step 4: Determining the volume of air

Volume of air inside the cylinder = Volume of cylinder - volume of the three balls

Volume of air = 214.8 cm³ - 143.2 cm³ = 71.6 cm³

Therefore, volume of air inside the cylinder = 71.6 cm³

Answer:

12. Please find attached the required plot created with MS Excel

Step-by-step explanation:

12. The points are given in their x and y-coordinates as follows;

(-2, 5), and (5, 2)

To plot the points on a graph, MS Excel plot function can be used as follows;

1) We enter the x and y-values of the first point, side by side in cells on the Excel spreadsheet

We enter the x and y-values of the second point, beneath the first point on the spreadsheet as follows;

[tex]\left | \begin{array}{ccc}-2&|&5\\5&|&2\end{array} \right|[/tex]

2) The four cells are selected and from the Insert menu within the Chart group, the Scatter (x, y) chart is selected

3) The plot created with MS Excel is attached

Answer:

10°

Step-by-step explanation:

the minor arc BC = 2×45 = 90°

so, the major arc BC = 360-90=270°

27x = 270°

x = 270/27 = 10°

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

Hope this help!!!

Have a nice day!!!

Answer:

x = 40

Step-by-step explanation:

< PQR = 180° - (84° + 56°)

= 40°

so x = 40° (corresponding angles QP// RT)

Answer:

20%

Step-by-step explanation:

110-88=22

22/110=20

Answer:

P=a+b+c

Step-by-step explanation:

Answer: 35 meters got it right on TTM

Answer:

(-5,-15)

Step-by-step explanation:

Answer:

(-5,-15)

Step-by-step explanation:

3x=2x-5

-2x  -2x

x=-5

y=3(-5)

y=-15

Answer:

8 sides

Step-by-step explanation:

THE QUESTION IS NOT COMPLETE, SO A QUESTION OF THE SAME TYPE

Find the number of sides of a regular polygon if exterior angle of the polygon is 45°?

NOTE:

Sum of the exterior angles of any regular polygon is known as (360°)

But from the question,

Each exterior angle is given as( 45°)

Number of sides of a regular polygon can be computed as

(360°/Each exterior angle)

Then substitute the give value of exterior angle, we have

= (360°/45) = 8 sides

Answer:

1314.24 cm^2

Step-by-step explanation:

Area for one square: 14.8 x 14.8 = 219.04

There's 6 squares so: 6 x 219.04 = 1314.24 cm^2

Answer:

86,664 randomly selected U. S Adults

Step-by-step explanation:

The sample is a subset of the population, that is a representative observation which is chosen from a larger population usually used in place of the population due to various reasons which may hamper the use of the entire population on a certain research project. Here, the population of interest is the entire U.S adult.

The subset of the population employed is the 86,664 randomly sampled US adults, this is called the sample as it representative of the population of interest.

Answer:

The triangle is a right triangle, m<c = 50 degrees, angle A + angle c = 90 degrees.

Step-by-step explanation:

Answer:

50°

Step-by-step explanation:

the triangles measurements always add to 180°. the triangle above is a scalene triangle, since none of the angle measurements are the same amount.

Equilateral triangles: All 3 sides are equal

Isoceles triangle: 2 sides are equal

Scalene triangle: No sides are equal

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

[tex]S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\[/tex]

Answer:

Here, given

g(x) = √x

h(x) = x³-1

For gh(4) , we have to find gh(x), so,

gh(x) = g(x³-1)

        =√x³-1 [Note⇒root is both for x³ and 1]

Now,

gh(4) = √4³-1

        = 3√7 or 7.9

Hope it helps!