What is the height, x, of the equilateral triangle shown?

What Is The Height, X, Of The Equilateral Triangle Shown?

Answers

Answer 1

Answer:

C. 10in

Step-by-step explanation:

[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]

[tex]\frac{sin60}{10} = \frac{sin60}{x}[/tex]

[tex]x[/tex]sin60 = 10 × sin60

[tex]x[/tex]sin60 = [tex]5\sqrt{3}[/tex]

[tex]x[/tex] = [tex]\frac{5\sqrt{3} }{sin60}[/tex]

[tex]x[/tex] = 10in


Related Questions

Find the surface area of a cylinder the has a base radius of 2 feet and the height of 14 feet

Answers

Answer: If I am correct the answer is 201.06ft²

please do correct me if i am wrong.

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²

what is the equation of the parabola?

a- y= -1/8(x+3)^2 +2
b- y=1/8(x-3)^2-2
c-y=1/8(x+2)^2+3
d-y=-1/8(x-2)^2-3

WILL GIVE BRAINLIEST

Answers

Answer:

D. y = -1/8(x-2)² - 3

Step-by-step explanation:

General eqaution of a parabola : y = a(x-h)² + k where (h,k) is the vertex and a determines whether the parabola goes up or down as well as the width of the parabola

step 1 identify vertex

the vertex is the point that starts the curve

the vertex appears to be at (2,-3)

step 2 plug in h and k using the x and y values of the vertex

again we have  y = a(x-h)² + k where (h,k) is the vertex

here the vertex is (2,-3) so h = 2 and k = -3

we get y = a(x-2)² - 3

because the curve goes down a must be negative 1/8

so the final equation would be y = -1/8(x-2)² - 3 meaning D would be the answer

Find the volume of the figure below. round if necessary.

Answers

Answer:

Step-by-step explanation:

6)
5ft
3ft.
14ft
8 ft
I need the surface area someone help me

Answers

Answer:

258ft squared is possibly the answer

4/7
of a number is 36
What is the number?

Answers

[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]

Answer:

[tex]\huge\boxed{\bf\:x = 63}[/tex]

Step-by-step explanation:

Given,

4/7th of a number = 36

Let's take the unknown number as 'x'.

Now,

4/7 × x = 36

Take the reciprocal of 4/7 to the other side of the equation .

x = 36 × 7/4

Cancel 36 by 4.

x = 9 × 7

Multiply the 2 numbers

x = 63

[tex]\rule{150pt}{2pt}[/tex]

If UV = 8x − 12, VW = x + 8, and UW = 2x + 10, what is UW?

Answers

Answer:

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

----> by addition segment postulate

substitute the given values

solve for x

step 2

Find the value of VW

substitute the value of x

Step-by-step explanation:

The construction workers are constructing a line of bricks. Each brick is 8 inches long. If the line of bricks must be 24 feet long, how many bricks will the construction workers need to use?

Answers

Answer:

thhe answer would only be 3 feet

Step-by-step explanation:

=
Interim Checkpoint: Grade 7 Checkpoint 4 - Part 1
Write an equation that you can use to solve for X.
Enter your answer in the box.
100°
60

Answers

60 is the amazing cool answer XD

Explain how to use a protractor to find the measure of angle RTV.

Answers

Answer:

How to measure an angle with a protractor:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

you can use a protractor to measure and draw angles. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. Line up the bottom edge of the protractor with one leg of the angle.

I would very much like to thank Aklee18oo for everything. this is my last question please see the attachment.​

Answers

Answer:

8mm

Step-by-step explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:

753.6 = [tex]15\pi r^{2}[/tex]

We are told to use 3.14 for pi, so:

[tex]753.6 = 15 * 3.14 * r^{2}[/tex]

[tex]r^{2} = 16[/tex]

[tex]r = 4[/tex]

The diameter is twice the radius, so the diameter is 8mm.

Answer:

8 mm

Step-by-step explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

Slove the inequality for u.
23> u-2

Answers

Answer:

u < 25.

Step-by-step explanation:

u - 2 < 23

Add 2 to both sides:-

u  - 2 + 2 < 23 + 2

u < 23 + 2

u < 25.

Answer:

23+2>u

25>u

(25,-∞)

this is the answer

what is the answer to
-(-4x-7)+x=-4

Answers

Answer:

-128

Step-by-step explanation:

hope it helps srry if its wroung:>

Please write the solution

Answers

Answer:

D .

Step-by-step explanation:

that is the answer to the question

Isaac Newton proved that fluids cool exponentially when left out in an open space. A cup of coffee was poured at a
temperature of 210°F and left on the dining room table to cool. If you start drinking it at a temperature of 150°F, 10 minutes
later, what will be the temperature be when you take the last sip 18 minutes after you poured it?

Answers

The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.

What is an exponent?

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

Isaac Newton proved that fluids cool exponentially when left out in an open space.

A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.

If you start drinking it at a temperature of 150°F, 10 minutes later.

The exponential function is given as

[tex]\rm T_f = T_i (a)^{-t}[/tex]

Then the initial temperature will be 210°F.

[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]

Then the equation will be

[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]

Then the temperature will be when you take the last sip 18 minutes after you poured it.

[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]

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The radius of a cylinder is 6.0 inches and the height is 9.0 inches, what is the volume of the cylinder? if the cylinder is enlarged by a linear scale factor of 3, what is the volume of the enlarged cylinder?​

Answers

Answer:

A) The volume of the cylinder is 1017.9 in³.

B) The volume of the enlarged cylinder is 27,482.7 in³.

Step-by-step explanation:

What is the volume of the cylinder?

The radius of the cylinder is r = 6 in and the height is h = 9 in.

The volume of a cylinder can be found using the formula:

V = πr²h

Substitute r = 6 and h = 9 into the formula.

V = π(6)²(9)V = π(36)(9)V = π(324)V = 1017.876

The volume of the cylinder is 1017.876 in³.

What is the volume of the enlarged cylinder?

If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.

Therefore, we need to multiply the original volume by a factor of three cubed; 3³.

V_enlarged = V · 3³V_enlarged = 1017.876 · 27 = 27482.652 in³

The volume of the enlarged cylinder is 27,482.652 in³.


Question 8 of 10
If you vertically compress the absolute value parent function, f(x) = 1x1, by a
factor of 3, what is the equation of the new function?
A. g(x) = |3|
B. g(x) = 3|4|

O C. g(x) = |x - 3|
D. g(x) = 1/3|x|

Answers

Answer:

your answer should be c

Step-by-step explanation:

5 star?

If you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

What is a function?

A relation is a function if it has only One y-value for each x-value.

The absolute value function, f(x) = |x|, has a "V" shape with the vertex at (0, 0).

f(x) can also be called as parent function.

A parent function is the simplest function that still satisfies the definition of a certain type of function

When we vertically compress the graph by a factor of 3, we are multiplying the y-value by 1/3.

So the new function g(x) can be expressed as:

g(x) = (1/3) f(x)

g(x) = (1/3)|x|

Hence, if you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

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Which represents the area of the shaded region?

area of the circle – area of the square – area of the triangle
area of the triangle – area of the square + area of the circle
area of the triangle + area of the square + area of the circle
area of the circle – area of the triangle + area of the square

Answers

The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.

Hence, option D) is the correct answer.

What is the representation of the area of the shaded region?

From the diagram below;

A triangle is inscribed in a circleA Square is inscribe in a triangle.Only the the circle and square are shaded.

To get the shaded region, we say;

Area of the Circle - Area of the Triangle + Area of the Square.

The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.

Hence, option D) is the correct answer.

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What value of c makes 3x²+24x+c contain a perfect square trinomial? Is there an equation to find it or is it just guess and check?

Answers

3x^2+24x+48


*20 characters limit , ignore this.*

Please answer for 10 points. It is a word problem.

Answers

Step-by-step explanation:

here is your answer, this is how it's solved


Summer school classes begin at 8:30 and last for two and a half hours. At what time
the classes end?

Answers

Answer:it ends at 11:00

Step-by-step explanation:8:30+2:30=11:00

Answer:

11:00

Step-by-step explanation:

8:30 + half an hour = 9:00

9:00 + 2 hours = 11:00

In the 2016 Rio Olympic games, the total of gold, silver and bronze medals won by China was 70.

They won:
• 18 silver medals,
• the same number of gold medals as they did bronze medals.

How many gold medals did China win?

Answers

26 gold metals

Explanation: 70 - 18 silver = 52 metals left

52/2= 26 … so 26 + 26= 52 52 + 18=70

What is the solution to this equation?

a/6-11=25

Answers

Answer:

a=216

Step-by-step explanation:

The expression below represents the perimeter, in feet, of Manual’s garden.

15 + 2x + 7 + 15 + 2x + 7

Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden.

The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7.

Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation.

Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length.

The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?

Answers

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet

What is the perimeter?

The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

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your parents are trying to decide what company to invest their money in for your college tuition expenses. They are given the annual profit for the last five years of two companies they are interested in

Answers

To make an informed decision about the best place to invest money, there would have to be an evaluation of the best company and their annual profits.

What is a Financial Investment?

This refers to the placing of money or asset with the hope and plan that it would appreciate after a certain period of time.

Hence, we can see that because your question is incomplete, a general overview has to be used, and thus, by the use of financial analysis by checking the annual profit over the last five years, the best choice would emerge.

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NEED HELP SHOW WORK WILL GIVE BRAINLYEST

Answers

It would be 14 for the perimeter

15 in
18 in
14 in
11 In
22 in






I need help on bottom three please

Answers

Answer is
18 in
Because that’s what it gave me

Brandon invested $41,000 in an account paying an interest rate of 3% compounded
continuously. Evan invested $41,000 in an account paying an interest rate of 37%
compounded quarterly. To the nearest dollar, how much money would Brandon have
in his account when Evan's money has doubled in value?

Answers

After 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Let's suppose, after t time, Evan's money has doubled in value.

[tex]\rm 2P = P(1+\dfrac{0.37}{4})^{4t}[/tex]

After solving

x = 1.959 years

Use x = 1.959 years to get how much money would Brandon have.

[tex]\rm A = P e^{rt}[/tex]

[tex]\rm A = 41000\times e^{0.03\times 1.959}[/tex]

A = $43,481.78

Thus, after 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.

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I NEED HELPPP ON THISS ONEE PLEASSEEEE

Answers

Answer:

6 , 9

Step-by-step explanation:

- 3 x - 4y = - 54
    4x + 4y = 60
Eliminate => x = 6

x + y = 15
when x =6  ; => y = 9

Find the quotient 3 6/7 divided by 5/21
Pls explain bc I’m having finals and I need a bit more help with this

Answers

Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

=  27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5        ( as 21/7 = 3)

= 81/5

= 16 1/5.

Victoria needs $299 to purchase a music player. She earns $4.50 per hour from her neighbor
for babysitting. She has already saved $75. Which inequality bestrepresents the minimum
number of hours she will have to babysit to earn enough money to purchase the music
player?

Answers

Answer:

4.50(x)+75=299

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