What is the length of AC? Round to the nearest tenth.

What Is The Length Of AC? Round To The Nearest Tenth.

Answers

Answer 1

Answer:

AC = 8.7 cm (nearest tenth)

Step-by-step explanation:

Given:

[tex]\tan(30)=\dfrac{5}{b}[/tex]b = AC

To find AC:

[tex]\implies \tan(30)=\dfrac{5}{b}[/tex]

[tex]\implies b=\dfrac{5}{\tan(30)}[/tex]

[tex]\implies b=5\sqrt{3}[/tex]

⇒ b = 8.7 (nearest tenth)

Therefore, the length of AC is 8.7 cm (nearest tenth)

Answer 2

[tex]\\ \rm\Rrightarrow tan30=\dfrac{5}{b}[/tex]

[tex]\\ \rm\Rrightarrow 1/\sqrt{3}=5/b[/tex]

[tex]\\ \rm\Rrightarrow b=5\sqrt{3}[/tex]

[tex]\\ \rm\Rrightarrow b=8.66=8.7cm[/tex]

AC is 8.7cm

Related Questions

Find the arc length of the partial circle

Answers

Answer:

11

...

...

...

...

.........

A mobile phone costs $320. It is reduced in a sale by 45%. Work out the sale price of the mobile phone.​

Answers

Answer:

$176

Step-by-step explanation:

Total: $320 Subtract 45%= 0.45 Decimal = 176

Which formula should be used to find the area of the composite shape.

Answers

Answer:

I don't see the composite shape, but the answer is to find the area of each shape inside the composite shape and add them up to get the total area of the shape.

Step-by-step explanation:

Common math formulas:

Area of a circle: A = [tex]\pi[/tex]r²

Area of a square: A = l × w

Area of a rectangle: A = l × w

Area of a triangle: A = 1/2 of b × h

What is the inequality?
The movie will be a maximum of 90 minutes long.

Answers

Answer:

it should be 1 hour 30 min long (maybe)

Step-by-step explanation:

(a) Laura owns 6 shares of a certain stock. Yesterday the total value of her shares went down by
24 dollars. What was the change in value for each share?
dollars

Answers

$24/6=$4 Answers: Laura’s stock lost Four dollars per share in value.
Twenty Four divided by six equals Four

Can the side lengths of 4, 8, and 14 form a triangle?

Answers

Answer:

No.

Step-by-step explanation:

8+4, the sides is not greater than 14, so no.

pl.z si.r hel.p m.e math geometry questio.n......

x=65
y=60
p=60
q=65
r=115 How?​

Answers

[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]

[tex]\\ \rm{:}\dashrightarrow p=60[/tex]

And

q=65°(Opposite angles are equal

Now

[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]

[tex]\\ \rm{:}\dashrightarrow r=115[/tex]

So

[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]

y=p=60°

Answer:

p = 60°

r = 115°

q = 65°

y = 60°

x = 65°

Step-by-step explanation:

Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.

Therefore, the linear pairs are:

   p + 120° = 180°

⇒ p = 60°

   r + 65° = 180°

⇒ r = 115°

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

Vertical angle theorem: a pair of opposite angles formed by intersecting lines.  Vertical angles are always congruent (equal).

Therefore, the vertical angles are q and 65°:

⇒ q = 65°

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

Consecutive interior angle theorem:  if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.

Therefore, the consecutive interiors angles are:

   120° + y = 180°

⇒ y = 60°

   x + r = 180°

⇒ x + 115° = 180°

⇒ x = 65°

What is the 11/30 take away 3/10 in it’s simplest form

Answers

Answer:

1/15 is simplest, answer 2/30

Step-by-step explanation:

11/30 - 3/10. Find LCD

Since it's 30, leave 11/30 how it is and turn 3/10 into 9/30

Next, 11-9=2

meaning 2/30, which if you divide by 2 both sides, you get 1/15.

A bird drops a stick to the ground from a height of 70ft. The function h = -16t^2 + 70 gives the​ stick's approximate height h above the​ ground, in​ feet, after t seconds. Graph the function. At about what time does the stick hit the​ ground?

Answers

Answer:

√ 80/16=t t=0.5590169943749474

Step-by-step explanation:

The function h(t) = -16t^2 + 70 is a quadratic function, and the stick hits the ground at about 2.092 seconds

Here, we have,

to determine the time it hits the ground:

The function is given as:

h(t) = -16t^2 + 70

Next, we plot the graph of the function h(t)

From the graph of the function h(t) (see attachment), we have the following highlight:

t = -2.092 and t = 2.092 when h(t) = 0

Time cannot be negative.

So, we have:

t = 2.092

This means that the stick hits the ground at about 2.165 seconds

Read more about quadratic functions at:

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#SPJ2

The black shoelace is longer than the green shoelace but shorter than the pink shoelace. The green shoelace is longer than the orange shoelace. Which shoelace is shorter, the pink shoelace or the orange shoelace?

Answers

Ans The orange shoe lace

Step-by-step explanation:

HELPPP FOR BRIANLEST!!!

Answers

Answer:

1/16

Step-by-step explanation:

NOT vanilla and NOT Saturday (1) over total (16)

1/16

There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 500 bactria in the jar? Pick the closest answer.
A. 3
B. 12
C. 10
D. 2
E. 7

Answers

Answer:

E. 7

Step-by-step explanation:

General form of exponential equation:  [tex]y=ab^x[/tex]

where [tex]a[/tex] is the initial value, [tex]b[/tex] is the growth/decay rate, and [tex]x[/tex] is time.

Given:

[tex]a[/tex] = 100 bacteria[tex]b[/tex] = 25% increase = 1.25[tex]x[/tex] = number of days

⇒ [tex]y=100 \cdot 1.25^x[/tex]

If y = 500, then:

[tex]\implies 500=100 \cdot 1.25^x[/tex]

[tex]\implies 5=1.25^x[/tex]

[tex]\implies \ln5=\ln1.25^x[/tex]

[tex]\implies \ln5=x\ln1.25^[/tex]

[tex]\implies x=\dfrac{\ln5}{\ln1.25}[/tex]

[tex]\implies x=7.212567439...[/tex]

[tex]\implies x \approx7[/tex]

Is this correct? If not what is the correct answer

Answers

Answer:

it would be the first one

Step-by-step explanation:

Find the equation of a line that passes through the point (3,4) and has a gradient of 1/3. Leave your answer in the form y=mx+c​

Answers

You can find the answer in the picture below…

Expand
3(x + 4)
Could you explain the answer as well and I hope u have an amazing day if your reading this<33

Answers

Answer:

See below.

Step-by-step explanation:

3(x+4)

You multiply 3 by all of the terms in the parenthesis.

3*x and 3*4

The simplified product is 3x+12.

-hope it helps

Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7. 14. After six years, how much has Carmen received in dividends? a. $5,783. 40 b. $1,820. 70 c. $1,092. 42 d. $6,554. 52 Please select the best answer from the choices provided A B C D.

Answers

Answer:

d. $6,554.52

Step-by-step explanation:

1) 153 shares x $7.14 = $1092.42

2) $1092.42 x 6 = $6,554.52

Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle, which of the following are true? Select all that apply.
ロThe missing side measures 12.5 ft.
ロ The missing side of the fence measures 15 ft.
ロ The perimeter of the fence is 40 ft.
ロ The perimeter is 37.5 ft.
ロ The area inside the fenced in section is 60 sq ft
ロ The area inside the fenced section is 68 sq ft.

Answers

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

The fence is triangular and a right triangle.

Right triangle:

A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.

c² = a² + b²

17² - 8² = b²

b = 15 ft

AC = 15 ft

perimeter of the triangle = 15 + 8 + 17 = 40 ft

Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²

Therefore,

The missing side of the fence measures 15 ft

The perimeter of the fence is 40 ft

The area inside the fenced in section is 60 ft²

learn more on right angle triangle here; https://brainly.com/question/2192748

How much will you have in 10 years?

Answers

Answer:

  $4439.28

Step-by-step explanation:

The future value is computed using the formula ...

  FV = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

Using the given values, the future value is ...

  FV = $2000(1 +0.08/12)^(12·10) ≈ $4439.28

You will have $4439.28 in the account after 10 years.

Help me out it’s urgent

Answers

Answer:

sorry but i also dont kbow

Solve for x in the diagram below (6x-2)

Answers

Answer:

x=12 is the answer to this question

when 25 percent is allowed,a customer pays Rs 1680 to buy a watch.Find the cost of the watch before the discount.​

Answers

Answer:

nobody knows, go to a shop

Step-by-step explanation:

Cost price percentage =100%
Percentage discount =25%
Therefore percentage that the customer bought = 100 - 25= 75%

If 75% = Rs 1680
then 100% =100 x 1680/75
= Rs 2240
Hence the cost of the watch before discount is Rs 2240

One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?

Answers

Answer:

10 miles

Step-by-step explanation:

first you subtract 80 from 200

200-80= 120

then you divide 120 by 12

120/12= 10

she will need to walk 10 miles in order to raise 200 dollars

hope this helped!

Paul has already made 50 cupcakes and bakes 25 cupcakes every hour. Write the equation for this situation.(No spaces between symbols)

Answers

Answer:

25*2=50

OR

50/2=25

Step-by-step explanation:

If Paul has made 50 cupcakes so far, that means he's been baking for two hours.

25/hr

50 in total

50/2=25

25*2=50

Given 8x=-24, What is the value of x?
a. -3
b. 12
c. -2
d. 3

Answers

Answer:

divide both sides by 8.

x=-3

The answer for you’re question is A. -3

what's 5 divided by 3 1/3?

Answers

Answer: 3/2

Step-by-step explanation:

We can start by converting 3 1/3 to an improper fraction. Since 3 is equal to 9/3, 3 1/3 would be equal to 9/3 + 1/3 = 10/3.

Therefore, we are doing [tex]\frac{5}{\frac{10}{3}}[/tex].

Dividing 5 by 10/3 is the same as multiplying 5 and the reciprocal of 10/3, which is 3/10.

5*3/10 = 15/10 = 3/2.

"John is 3 years older than Mary. Five years ago he was four times as old as Mary was then. How old is John?"

Answers

Answer:

9 years old

look at the comment section.

The age of john is 9 years.

What is Algebra?

Algebra is a branch of mathematics that deals with symbols and the arithmetic operations across these symbols. These symbols do not have any fixed values and are called variables. In our real-life problems, we often see certain values that keep on changing. But there is a constant need to represent these changing values. Here in algebra, these values are often represented with symbols such as x, y, z, p, or q, and these symbols are called variables. Further, these symbols are manipulated through various arithmetic operations of addition, subtraction, multiplication, and division, with an objective to find the values.

Algebraic Expressions

An algebraic expression in algebra is formed using integer constants, variables, and basic arithmetic operations of addition(+), subtraction(-), multiplication(×), and division(/). An example of an algebraic expression is 5x + 6. Here 5 and 6 are fixed numbers and x is a variable.

Given:

John is 3 years older than Mary.

Five years ago he was four times as old as Mary was then.

let the age of mary be x

John's age= x+ 3

Five years age,

Mary's age= x-5

john's age = x-2

So,

x-2= 4( x-5)

x- 2 = 4x- 20

-3x= -18

x=3

Hence, john's age= 9 years

Learn more about algebra here:

https://brainly.com/question/953809

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Billy’s employer pays for 65% of his annual health insurance premium. billy has the rest deducted in equal amounts from his paycheck. if billy has $105.73 withheld from his paychecks twice each month, how much does his employer contribute towards his health insurance on an annual basis? a. $683.18 b. $1,366.36 c. $2,356.27 d. $4,712.54

Answers

Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Billy’s employer pays for 65% of his annual health insurance premium.

Billy has the rest deducted in equal amounts from his paycheck.

If billy has $105.73 withheld from his paychecks twice each month.

His employer contributes towards his health insurance on an annual basis.

To get the amount of his employer to contribute towards his health insurance on an annual basis will be

105.73 × 24 = 2537.52

The next step is to calculate Billy's total annual health insurance premium will be

[tex]\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54[/tex]

More about the percentage link is given below.

https://brainly.com/question/8011401

The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 months what's his interest he will pay on his loan

Answers

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes. Using the empirical rule, approximately what percent of red lights last between 2. 5 and 3. 5 minutes? 32% 68% 95% 99. 7%.

Answers

The red light lasts between 2.5 minutes and 3.5 minutes is 95 %. Then the correct option is C.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes.

In this case, the mean is 3 and the standard deviation is 0.25, We move one space to the right that would represent 3.25 minutes, one more space to the right that is 3.50 minutes. Similarly, we move one space to the left, this would be 2.75, one more space to the left, and the shows 2.50 minutes.

Thus, the correct option is C.

More about the normal distribution link is given below.

https://brainly.com/question/12421652

6. Ms. Carson drove 96 miles in 1.5 hours.
What was her speed in miles per hour?
A. 48 miles per hour
B. 54 miles per hour
C. 64 miles per hour
D. 144 miles per hour

Answers

Answer:

c

Step-by-step explanation:

divide 96 by 1.5 and you'll get 64

Answer:

64

Step-by-step explanation:

I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.

64/2 = 32

64 + 32 = 96

Have an amazing day!

PLEASE RATE!

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