A company logo is shaped like an equilateral triangle with 6-inch long sides. What is the height of the logo? Round to the nearest tenth.

Answers

Answer 1

Answer:

5.2 in

Step-by-step explanation:

An equilateral triangle is a triangle with 3 equal sides

Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height

The Pythagoras theorem : a² + b² = c²

where a =  height

b = base = 6 in / 2 = 3 in  

c =  hypotenuse = 6 in

6² = 3² + h²

h = 36 - 9 = 27

√27 = 5.196 inch

to the nearest tenth = 5.2 in

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero


Related Questions

Find the perimeter of the right triangle. If necessary, round to the nearest tenth. a. 13 in. b. 169 in. c. 60 in. d. 30 in.

Answers

Question: Find the perimeter of the right triangle. If necessary, round to the nearest tenth. 4 cm 15 cm a. 15.5 cm

b. 30 cm

c. 60 cm

d. 34.5 cm​

Answer:

d. 34.5 cm

Step-by-step explanation:

Applying

Perimeter of the right triangle (P) = a+b+c

P = a+b+c.................... Equation 1

But we can find the hyotenuse (a) using pythagoras theorem

a² = b²+c²

a = √(b²+c²)............... Equation 2

Substituting equation 2 into equation 1

P = √(b²+c²)+b+c................... Equation 3

From the diagram,

Given: b = 4 cm, c = 15 cm

Substitute these values into equation 2

P = √(4²+15²)+4+15

P = √(241)+4+15

P = 15.5+4+15

P = 34.5 cm

Hence the right answer is d. 34.5 cm

Write the equation of the circle with a radius 7 and center (13, 15).


HELP ASAP!!!

Answers

Answer:

Option b is the correct answer

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Step-by-step explanation:

[tex] (x - 13)^2 + (y - 15)^2 = 7^2 [/tex]

[tex] (x - 13)^2 + (y - 15)^2 = 49 [/tex]

Find the area of the circle in terms of Pi. (TT)
10 cm
A

Answers

Answer:

A≈314.16

Step-by-step explanation:

Please help me with this math problem

Answers

Answer:

80.6 m

Step-by-step explanation:

Coordinates of the points P and Q are (0, 0) and (40, 70) respectively.

Length of the shortcut can be found by using distance formula between two points P and Q.

Length of the shortcut

[tex] = \sqrt{ {(40 - 0)}^{2} + {(70 - 0)}^{2} } \\ \\ = \sqrt{ {40}^{2} + {70}^{2} } \\ \\ = \sqrt{1600 + 4900} \\ \\ = \sqrt{6500} \\ \\ = 80.6225775 \\ \\ \approx \: 80.6 \: m[/tex]

Help asap please I really need it!

Answers

Answer:

[tex]volume = \frac{4}{3} \pi r^3\\\\Radius = 2 , volume = \frac{32\pi }{3}cm^3 \\\\Radius = 3, volume = 36\pi cm^3 \\\\Radius = 4, volume = \frac{256\pi }{3} cm^3\\\\Radius= 6, volume = 288\pi cm^3[/tex]

plz help!!! pick abc or d

Answers

Answer:

-6n

Step-by-step explanation:

Position = 1

Value of term = -6

PLEASE HELP ME ASAP!!! No links please and please give a step by step explanation

Is 547 a term in the sequence 1,8,15,22,29?

Answers

Answer:

no

Step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.






John finished his 5 chores in 45 minutes. If he spent the same amount of time on each
chore, how long, in minutes, did it take him to finish each chore?

Answers

Answer:

9 Minutes

Step-by-step explanation:

5x9=45

Brainliest?

9 minutes 5x9=45…………..

The train journey between London King's cross and Durham is 2hours and 50 minutes. If a train leaves London at 08:40 at what time doses it arrive in Durham?

Answers

Answer:

11:30

Step-by-step explanation:

8:40 + 2 hours = 10:40

10:40 + 20 min = 11:00

11:00 + 30 min = 11:30

If the radius of the circle below is 12 feet, find the area of the shaded region.

Answers

Answer:

The area of the shaded region is 195.84sqft.

Step-by-step explanation:

Area of shaded region = area of trapezium- area of circle

Area of shaded region= 1/2(sum of parallel side)*height - π[tex](radius)^{2}[/tex]

Area of shaded region=1/2(20+34)*24 - π[tex](12)^{2}[/tex]

Area of shaded region=648-452.16

Area of shaded region=195.84 sqft.

To know more about area of shaded  region click here

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Which shows how to determine the volume of the pyramid?

Answers

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

pls help i need the answer

Answers

This is just an equation with no answer since there are two different variables, p(t) and t, so there’s no solution, but if you create another request with a full question I can help you out.

What is the longest line segment that can be drawn in a right rectangular prism that is 12 cm long, 11 cm wide, and 8 cm tall?

Answers

When I put the right answer it says it’s wrong

Answer:

The answer is 18.1

3(3u-2)=2(3u+3)
What is the steps

Answers

Hopes this helps:

Answer: u = 4

1. Expand.
9u - 6 = 6u + 6


2. Add 6 to both sides.
9u = 6u + 6 + 6


3. Simplify 6u + 6 + 6 to 6u + 12.
9u = 6u + 12


4. Subtract 6u from both sides.
9u - 6u = 12


5. Simplify 9u - 6u to 3u.
3u = 12


6. Divide both sides by 3.
u = 12/3


7. Simplify 12/3 to 4.
u = 4

Show all work. 5. Find the surface area of the composite figure.​

Answers

Answer:

        4130 m²

Step-by-step explanation:

[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]

A car wash cleaned 38 cars in 2 hours. At this rate,
how many cars can it clean in 7 hours?

Answers

Answer:

133 cars in 7 hours

Step-by-step explanation:

divide 2 and 38 wich is 19 so its 19 cars per hour so now 19 times 7 and get 133 plz mark brainliest

Answer:

I am no mathematician but i would say 133cars

Step-by-step explanation:

I first divided 38 by 2 which gave me 19 so on the average they cleaned 19 cars an hour

I then multiplied 19 by 7 giving me 133

Hope this works!!!

write an inequality in slope intercept form for the graph below. if necessary use <= or >=

Answers

Answer:

Where is the graph tho?

Step-by-step explanation:

what is the 12th term of the sequence: 48,44,40,36...

Answers

Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

Hope that this helps!

What is the volume of a rectangular prism
7 inches long, 2 inches wide, and 8 inches high?

Answers

Answer:

112 in³

Step-by-step explanation:

ν = length*width*height

For each sentence, drag a word that will make the statement true.
Words may be used once or more than once.
always returned to choices list.
sometimesalwaysnever
Equilateral triangles are
acute triangles.

Scalene triangles are
acute triangles.

Right triangles are
acute triangles.

Obtuse triangles are
isosceles triangles.

Answers

Answer:

Equilateral triangles are always acute triangles.

Scalene triangles are sometimes acute triangles.

Right triangles are never acute triangles.

Obtuse triangles are sometimes isosceles triangles.

Step-by-step explanation:

Equilateral triangles are always acute because each angle is 60⁰.

Scalene triangles have sides that are different lengths. They can be right, obtuse, or acute.

A right triangle is never acute because it has a 90⁰ angle. Acute means all angles are less than 90⁰.

An obtuse triangle can be either scalene or isosceles. It always has one angle greater than 90⁰ (obtuse).

What is the volume, in cubic m, of a cube with an edge length of 11m?
A rectangular prism has a length of 17m, a height of 18m, and a width of 17m. What is its volume, in cubic m?

Answers

11x11x11=1331 m^3
For the Q
17x18x17=5202 m^3
For the rectangular prism

A child swallowed a substance with an LD50 of 6 mg/kg of body weight. It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.


False

True

Answers

Yes, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

How to LD50 represents?

The LD50 is a Lethal dose and 50 represents 50 percent of the test animal's population, that is it will be lethal to half of the tested animals. The amount of a toxic agent (such as a poison, virus, or radiation) that is powered to wipe 50 percent of a population of animals on which it is tested.

Therefore, It is crucial that the child's stomach be pumped promptly as the material is highly poisonous.

Learn more about LD50 here: https://brainly.com/question/10042271

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A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters. True or false

Answers

For this It would be false!

a right cylindrical solid is cut in half to form the figure shown. if the length is 20 cm and the diameter is 8cm, what is the surface area? (please explain thoroughly)

Answers

Answer:

Step-by-step explanation: (96pi + 160)

cm^2

How do I find the indicated value for this problem?

Answers

Answer:

t_n =a +(n-1)d

t_100 = 2+ (100-1)6

= 2+99× 6

= 2 +594

= 596

Martin's bank account balance is negative. Each week that his
account remains negative the bank charges $36.50. Martin did
not make any deposits and now his bank account balance is
-$182.50. How many weeks was his account negative?

Answers

Answer:

5

Step-by-step explanation:

182.50/36.50 per week= 5 weeks

Which is the better buy on apples?

7.64 for 8 lbs of apples

12.81 for 14 lbs of apples

Answers

Answer: The 12.81 for 14 lbs of apples is the better buy.

Step-by-step explanation:

Find the unit price (the price of 1 lb of apples)

7.64/8 lbs = 0.955 per pound

12.81/14 lbs. = 0.915 per pound;

Complete the equation so it will have no solution. 5x - 8 = _ +2

Answers

Answer:

5x

Step-by-step explanation:

If the blank were to be occupied with 5x there would be no solutions

Observe...

5x - 8 = 5x + 2

* subtract 5x from each side *

5x - 5x cancels out

5x - 5x cancels out

we're left with -8 = 2

which is not true

Hence if the blank = 5x the equation will have no solution

I'll give brainliest​

Answers

Answer:

7 oof

Step-by-step explanation:

could you help me by chance?

Answers

Answer:

27.5

This is because you plug the numbers into the equation. Hope this helps!

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