An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.

Answers

Answer 1

Answer:

h = 16.5

Step-by-step explanation:

Remark

The formula below really is the Pytharagan formula disguised.

h^2 = hypotenuse (side)^2 - (1/2 side)^2

Givens

side = 19 cm

Solution

h^2 = 19^2 - (1/2*19)^2      Substitute given into formula

h^2 = 361 - (9.5)^2            square 9.5

h^2 = 361 - 90.25             Subtract

h^2 = 270.75                    Take the square root of both sides

√h^2 = √270.75

Answer: h = 16.5


Related Questions

quick qustion the answer is at the tip of my tong but I cant seem to get it right what is 100 divided by 2

Answers

Answer:

50

Step-by-step explanation:

100/2=50

Answer:

100 divided by 2 is 50

Step-by-step explanation:

i just did it in my head

The units are equal to 0.2 mile

Valeria will Need to travel from information to Security frequently.

•She can ride a golf cart along the solid lines from one to other at 12 miles per hour.

•She can walk along the dashed line at 4 miles per hour.

She wants to use the faster method. How should she travel

Answers

Answer:

Take the golf cart for the fastest time, and bragging rights.

Step-by-step explanation:

See attachment

The golf cart will make the trip in 0.383 hours, while walking would require 0.85 hours.

Full explanation please.
Answer as soon as possible

Answers

Answer:

(- 5, 9)

Step-by-step explanation:

Given system of equations

- 2x - y = 1- 4x - y = 11

Express the first equation as

y = - 2x - 1

Substitute the value of y into second equation

- 4x - (- 2x - 1) = 11

Solve for x

- 4x + 2x + 1 = 11- 2x + 1 = 11- 2x = 102x = - 10x = - 5

Find the value of y

y = - 2(- 5) - 1 = 10 - 1 = 9

Answer:

(-5, 9)

Step-by-step explanation:

Given system of linear equations:

[tex]\begin{cases}-2x-y=1\\-4x-y=11\end{cases}[/tex]

To solve by substitution, use arithmetic operations to isolate y in Equation 1:

[tex]\implies -2x-y=1[/tex]

[tex]\implies -2x-y+y=1+y[/tex]

[tex]\implies -2x=1+y[/tex]

[tex]\implies -2x-1=1+y-1[/tex]

[tex]\implies y=-2x-1[/tex]

Substitute the expression for y into Equation 2 and solve for x:

[tex]\implies -4x-(-2x-1)=11[/tex]

[tex]\implies -4x+2x+1=11[/tex]

[tex]\implies -2x+1=11[/tex]

[tex]\implies -2x+1-1=11-1[/tex]

[tex]\implies -2x=10[/tex]

[tex]\implies -2x \div -2=10 \div -2[/tex]

[tex]\implies x=-5[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\implies -2(-5)-y=1[/tex]

[tex]\implies 10-y=1[/tex]

[tex]\implies 10-y+y=1+y[/tex]

[tex]\implies 10=1+y[/tex]

[tex]\implies 10-1=1+y-1[/tex]

[tex]\implies y=9[/tex]

Therefore, the solution to the given system of linear equations is (-5, 9).

Learn more about system of equations here:

https://brainly.com/question/27931586

I guessed Supplementary, but I think I'm just not understanding, help

Answers

exterior angles? if that’s an option

Jorden has $275 in his bank account. The bank will pay Jorden 4% interest per year on the value of his account. If Jorden doesn’t add to his account or withdraw any money, how much will he have in his account after one year?

Answers

Answer: $11.00



Step-by-step explanation: Please see attached PDF.



Help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5pi in

6.25 pi in²

Step-by-step explanation:

The solution is attached

the answer is done by using similarity

MARK ME AS BRAINLIST

Answer:

EDIT: Answer was lost twice when saving, not answering again. Please delete if possible.

In one or two sentences, explain how Archimedes' principle can be used to find out an object's density if you already know its mass​

Answers

Answer:

The heaviness of displace fluid is equivalent to the buoyant force on a object that is submerged. When you get the mass from this, you may divide it by the volume in order to obtain the measure of the average density of the object.

Step-by-step explanation:


Which expression has a value of -12?

F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)

Answers

Answer:

G.

Step-by-step explanation:

(3 - 5).(-4 + 10)

= -2 * 6

= -12.

Kevin ours more than emily each time they work together. Using this information, complete the table

Sorry for bad quality

Answers

Answer:

i believe the last one would be 9 for the number of hours kevin works.

Step-by-step explanation:

f(x)=−8x+4 What is the value of f(−14)?
0
2
3
6

Answers

Answer: 116

Step-by-step explanation:

We can substitute x=-14, giving us f(-14)=-8(-14)+4=116

A student spent $18 for a haircut this week. Which event, when combined with the student spending $18, will result in the student having $0 remaining?
A. The student earned $18 for cleaning out his neighbor's garage.
B. The student paid his little brother $18 for doing his chores.
C. The student purchased a gift for his mom for $18.
D. The student gave $18 to a friend.​

Answers

Answer:

 A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

 Since it given that a student spend $18 for a haircut this week also means that she/he gave away $18 also known as -$18.

Thus, base on the given answer choices:

[A] is the only one that can make it positive.

Going through all answer choice:

A. The student earned $18 for cleaning out his neighbor's garage.

Earned = +

B. The student paid his little brother $18 for doing his chores.

Paid = -

C. The student purchased a gift for his mom for $18.

Purchased = -

D. The student gave $18 to a friend.​

Gave = -

Hence, Answer is A. The student earned $18 for cleaning out his neighbor's garage.

~lenvy~

Answer:

A. The student earned $18 for cleaning out his neighbor's garage.

Step-by-step explanation:

Since given that A student spent $18 for a haircut this week and asking for Which event, when combined with the student spending $18, will result in the student having $0 remaining

Thus, we know that spending is negative because we are using it so it -18

Base on the given answer choice below we can infer that

earned = +

Paid = -

Purchased = -

Gave = -

The only way to make it back with a $0 is to add $18

Thus the answer is A. The student earned $18 for cleaning out his neighbor's garage.

[RevyBreeze]

9/18+1/3 calculator doesn’t have it pls help

Answers

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3

Convert 1/3 to match 9/18:

1/3 = 6/18

1 * 6 = 6

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

3 * 6 = 18

6/18

9/18 + 6/18

15/18

Find the GCF of 15 and 18:

15

1, 3, 5, 15

18

1, 2, 3, 6, 9, 18

Divide:

15 ÷ 3

-------

18 ÷ 3

5/6 <== final answer

Hope this helps!

An equilateral triangle has an altitude of 7cm. Which of the following have a proportional relationship to the altitude? Select all that apply.
A. Perimeter
B. Sides
C. Angles
D. Area
E. Vertices

Answers

Answer:

A. Perimeter

B. Sides

D. Area

Step-by-step explanation:

Suppose a triangle ABC has sides each of length a

formula:

The altitude of the triangle h equal to :

[tex]h=\frac{\sqrt{3}}{2} a[/tex]

________

Perimeter:

Let’s P be the perimeter of the triangle ABC then P = 3a

[tex]\frac{P}{h}=\frac{3 a}{\frac{\sqrt{3}}{2} a}=\frac{3}{\frac{\sqrt{3}}{2}}=2 \frac{3}{\sqrt{3}}=2 \sqrt{3}[/tex]

P/h is a constant then The perimeter has a proportional relationship to the altitude

______

Sides :

[tex]\frac{h}{a}=\frac{\frac{\sqrt{3}}{2} a}{a}=\frac{\sqrt{3}}{2}[/tex]

h/a is a constant then The side has a proportional relationship to the altitude

______

Area :

Let A be the area of the triangle

[tex]\frac{A}{h}=\frac{a \times h}{h}=a[/tex]

A/h is a constant then The area has a proportional relationship to the altitude

_____

Angles :

The measure Of each angle of an equilateral triangle is always equal to 60°

60/h is not a constant then there is no proportional relationship

______

Vertices:

The vertices are points and not numbers so there is no proportional relationship.

Brody made his specialty dessert last night. He used 1/2 cup of white sugar and 2/3 cup of brown sugar. How much more brown sugar did Brody use than white sugar?

Answers

Answer:

1/6

Step-by-step explanation:

Tell me if you need one

-100x – 100 = 0

-100x =
X =

Answers

Answer:

-1

Step-by-step explanation:

-100x-100=0

-100x=100

x/-100=100/-100

x=-1

When you are solving for a variable your goal is to get the variable by it seff.

x = -1

- 100x = 100

Step-by-step explanation:

[tex] - 100x - 100 = 0[/tex]

Move the constant to the right side and change the sign

[tex] - 100x = 100[/tex]

Change the sign of both side of the equation

[tex]100x = - 100[/tex]

Divide both side by the same number

[tex]x = - 1[/tex]

[tex] - 100x[/tex]

[tex] - 100 \times - 1[/tex]

Remove the ( - ) sign since negative number are multiplied by even number...

[tex]100 \times 1 \\ 100[/tex]

A horse-drawn carriage tour company has found that the number of people that take their tour depends on the price charged per customer. The more the company charges for a tour, the fewer people decide to take the tour.

The function c(x)=50+5x represents price charged per customer where x is the number of $5 increases they charge over a rate of $50 per person.

The function p(x)=100−2x represents the number of customers expected for the day, where x is the number of $5 increases they charge over a rate of $50 per person.



What does (p⋅c)(2) mean about the horse-drawn carriage tour company?




The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $40.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $40.

The horse-drawn carriage tour company can expect to take in $3760 when the charge per customer is $60.

Answers

Answer:

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

We have,

The function representing the price charged by the customers is .

The function representing the number of customers is .

Then, the product of the functions is given by,

Substituting x = 2 in the above product gives,

Also, the charge per customer when x = 2 is,

Hence, the product (p-c)(2) represents,

B. The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Answer:

The horse-drawn carriage tour company can expect to take in $5760 when the charge per customer is $60.

Step-by-step explanation:

Can someone please help me I will give y’all brainiest or whatever please

Answers

Answer:

c

Step-by-step explanation:

1 translates to 2 because it moves up and over

and 2 is a reflection of 3 because its a mirror image

Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
V29x6

Answers

Answer:

x 3 -2x

Step-by-step explanation:

What is 10÷2/3?

A.) 1/15

B.) 3/20

C.) 20/3

D.) 15

Answers

Let's first write out 10 ÷ 2/3:

  [tex]\frac{10}{\frac{2}{3} }[/tex]

When we divide by a fraction, we flip the fraction 2/3 into 3/2 so that we can multiply it by 10, so:

      [tex]\frac{10}{\frac{2}{3} } =10*\frac{3}{2} =5 * 3=15[/tex]

Thus the answer is 15

Hope that helps!

   

Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)

Answers

The number of rotations for the new wheel will be  1,056 rotations

How to calculate the circumference of a wheel?

Let the initial circumference be 50 rotations  (assumed)

If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:

Ne circumference = 1.2 * 50 = 60

number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations

Hence the number of rotations for the new wheel will be  1,056 rotations

Learn more on circumference here: https://brainly.com/question/20489969

124 7/8 drained in 25 mins how much is drained each min

Answers

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

66 books in 2 boxes how meany
books per box?

Answers

Answer:

33

Step-by-step explanation:

Use the line plot to answer the questions, and describe how you figured out the answer to each question. 80 POINTS IF ANSWERD AND GIVING BRAINLIEST



How many boxes did Lamar sell?

How many more boxes did John sell than Suzy?

How many more boxes would Lizzy have to sell to equal how many Mark sold?

Answers

X = 5 boxes

figure out the X for each person

Lizzy = 5 X

Lizzy sold: 5 * 5 = 25 boxes

Suzy = 1 X

Suzy sold: 5 * 1 = 5 boxes

John = 3 X

John sold: 5 * 3 = 15 boxes

Mark = 8 X

Mark sold: 5 * 8 = 40 boxes

Lamar = 4 X

Lamar sold: 5 * 4 = 20 boxes

→ How many boxes did Lamar sell?

Answer: 20 boxes

→ How many more boxes did John sell than Suzy?

Answer: 10 boxes

workout: 15 boxes - 5 boxes = 10 boxes more

→  How many more boxes would Lizzy have to sell to equal how many Mark sold?

Answer: 15 boxes

workout: 40 boxes - 25 boxes = 15 boxes more

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

Each Cross (X) represents 5 boxes

Now, let's move on to questions :

1. How many boxes Lamar sell ~

-) 4 Cross = 4 × 5 = 20 boxes

2. How many more boxes did John sell than Suzy ?

-) (4× Cross) - (1 × cross)

-) (3 × 5) - (5)

-) 25 - 5 = 10more boxes than Suzy

How many more boxes would Lizzy have to sell to equal how many Mark sold ?

-) (8 × Cross) - (5 × Cross)

-) (8 × 5) - (5 × 5)

-) 40 - 25

-) 15 more boxes to be sold to get equal to the number of boxes mark sold.

Help if you understand thanks sm

Answers

Answer:

Represents decay ( because .72 < 1  )

The amount decreases 72% each 'x' time period

Step-by-step explanation:

Find the value of X and y in this figure

Answers

Answer:

Step-by-step explanation:

Which of the following best describes the expression 9(x + 7)? (5 points)

a
The sum of 9 plus some number plus 7

b
The product of 9 plus some number plus 7

c
The product of 9 and some number plus 7

d
The sum of 9 multiplied by some number plus 7

plsss help asap

Answers

Answer:

I guess D. the sum of 9 multiplied by some number plus 7

There are 7 black cards and 13 red cards. The probability of selecting a red card will be

Answers

Answer:

0.65

Step-by-step explanation:

Add together 7 and 13:  there are 20 cards.

Then the theoretical probability of selecting a red card will be:

 13

------- = 0.65

 20

Answer:

Step-0.65

by-step explanation:

Which of the following values of x does NOT satisfy the inequality: √x > ∛x *
A:) 1
B:) 2
C:) 3
D:) 4

Answers

Answer:

1

Step-by-step explanation:

1>1 NO FALSE 1==1

How do you use double angles to simplify equations? Please provide an example.

Answers

Answer:

provide an equation

ill let you know

Which of the following is larger and why? (Math 8th)
4.235 x 104 and 7.152 x 103

Answers

Answer:

4.245 x 10^4

Step-by-step explanation:

10^4 = 10,000

10^3 = 1,000

4.235 * 10,000 = 42,350

7.152 * 1,000 = 7,152

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