please help me i’m so lost Determine the lengths of AB and AC in the right triangle. You may give your answers in radical
form.

Please Help Me Im So Lost Determine The Lengths Of AB And AC In The Right Triangle. You May Give Your

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin30° = [tex]\frac{1}{2}[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{6}{AB}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

AB = 12

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2 AC = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

AC = 6[tex]\sqrt{3}[/tex]


Related Questions

-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?

Answers

Answer:

Number of coefficients of x: 2 coefficients (-4 and 3)

Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)

Simplified: - x - 12

Step-by-step explanation:

1) Subtract the numbers.

-4x - 12 + 3x

2) Combine like terms.

- x - 12

pleaseee help mee tysm​

Answers

The answer for this question is $850

Answer:

the answer is c

Step-by-step explanation:

Sarah is 2 inches taller than the quotient of billy’s height and 5. Let b represent Billy’s height. write an expression that represents Sarah’s height

Answers

So, this has many steps to it.

This part is to let us know what symbols we should use (VERY IMPORTANT)

1. Since you know that Sarah is two inches taller, we would use a + sigh in our expression

2.Then you look for the key word which is quotient and that means to divide

    All of our symbols are in now. Time for the next step

This part us know what we are dividing and adding.

Now 2+ b/5

Let b represent Billy’s height.Therefore, the quotient of billy’s height and 5[tex] = \frac{b}{5} [/tex]Sarah is 2 inches taller than the quotient of billy’s height and 5.Therefore, an expression that represents Sarah’s height is [tex]2 + \frac{b}{5} [/tex]

Answer:

[tex]2 + \frac{b}{5} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

A vegetable cart sells potatoes for $0.24 and tomatoes for $0.76. Fred bought 12 vegetables in total. He only bought potatoes and tomatoes. If Fred paid $6.52 total, how many potatoes did he buy?

Answers

Let potatoes be a and tomatoes be b

[tex]\\ \sf\longmapsto a+b=12---(1)[/tex]

[tex]\\ \sf\longmapsto 0.24a+0.76b=6.52[/tex]

Simplify 2nd one

[tex]\\ \sf\longmapsto 0.06a+0.19b=1.63[/tex]--(2)

Solving both equations

b=7a=12-7=5

Which expression represents the expanded version of the expression below?

4x(3x+7)

Answers

Answer:

X is just a variable.

Step-by-step explanation:

Which number sentence is not true?

101 < 100
101 = 0
|-100[< 101
1-100] > [0]

Answers

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

share 120 between 8 boys​

Answers

Answer:

15

Explanation:

120 divided by 8 is 15

Answer:

120 ÷ 8 = 15

Simple math. :D

Step-by-step explanation:

Pls give brainliest.

Enter the value of x + 27.
х
1
o
1x + 27)
67°

Answers

1) Commutative Property of addition and multiplication: (Commutative, x; Commutative, +) ... 24) -6 + 10 = 4 25) - 8 - 12 = 20 26) -8 +6= -2 27) -7 - 5= -12.

Solve for a
1/12 a +21 = 25

Answers

Hope This Helped!

Step-by-step explanation:

First off we need to take the whole equation and multiply it so that we can get rid of the fractioned exponent. The number we would use is 12, giving us the new equation: a + 252 = 300. We then can subtract 252 from both sides of the equation, to get the exponent by itself and intentionally create an answer. This would be: a + 252 = 300,-252=48 or a = 48

We are left with A being equal to 48.

[tex]\dfrac 1{12} \cdot a +21 = 25\\\\\\\implies \dfrac a{12} = 25-21\\\\\\\implies \dfrac a{12} =4 \\\\\\\implies a = (12)(4) = 48[/tex]

The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?​

Answers

Answer:

6mph

Step-by-step explanation:

180/4.5=40

180 × (1+15%)=207

207/4.5=46

46-40=6

Please show any steps you used to solve the equation!

Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]

I'll mark brainliest if correct!

Answers

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3

How can I Graph
-7x= -105

Answers

Answer:

see explanation

Step-by-step explanation:

- 7x = - 105 ( divide both sides by - 7 )

x = 15

A line with equation x = c is a vertical line parallel to the y- axis passing through all points with an x- coordinate of c

Thus x = 15 is a vertical line passing through all points with an x- coordinate of 15

Plot (15, 0 ) , (15, 3 ) and (15, - 3) and join a straight line through them for graph

I cannot figure this out. Any help would be appreciated.

Answers

so you are finding M
90+x+15+3x+15=180
4x=60
X = 15
LMN = 15+15
LMN = 30
hopefully this is correct :)

will give brainliest

Answers

Answer: x > − 4

Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.

(Try to solve b. and c. with only these resources and if you still need help, let me know.)

please help and show work​

Answers

Answer:

x = 8

Step-by-step explanation:

∆D = ∆F

40°+2∆D = 180°

2∆D = 140

∆D = 70°

11x-18 = 70

11x = 88

x = 88/11

x = 8

Can someone help me with this one I would appreciate it very much!!

Answers

Answer:

12.5 pounds

Step-by-step explanation:

16 ounces = 1 pound

200 ounces = 1 × 200/16 = 12.5 pounds

The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?​

Answers

angle a = 180°-80°-40°=60°

i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.

the lesson name is called solving real world systems of equations via elimination.
here is the question:

jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?

r+b=7

3.75 + 2.75 = 22.25

this is a lesson in 8th grade math.​

Answers

Answer:

Hallo, I will help you with the problem T^T

Step-by-step explanation:

3.75r + 2.75b = 22.25

3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!

2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!

So this means that they bought:

3 cans of red paint.

And 4 cans of black paint.

Now you may be thinking, how do you know?

If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25

And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0

So add 11 + 11.25 and you get 22.25 :]

Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]

All 150 eighth grade students at a local middle school were asked how many hours they studied during the week. Each row of the table represents one sample from the population. Find the mean Of each sample


Which row has the greatest mean?
1
2
3
4

Answers

The answer is 2...

It's row 2

Answer:

Row 2 (B)

Step-by-step explanation:

We can find out the answer just simply by adding up each of the rows seperately and finding out which one has the highest value, since all of the rows have the same amount of spaces that you need to divide by. Row 2 has the highest value with 23.

help me with this pls

Answers

Answer:

Yes they both = 125

Step-by-step explanation:

someone who is good a math please answer this today asap will give brainliest

The length of a rectangle is 4 more than its width. The perimeter is 40 feet.

What are the length and width of the rectangle?

Hint: The perimeter of a rectangle is given by the formula P = 2l + 2w.


The width is 8 ft and the length is 12 ft.


The width is 13 ft and the length is 7 ft.


The width is 7 ft and the length is 13 ft.


The width is 12 ft and the length is 8 ft.

Answers

Answer:

the Answer is C

Step-by-step explanation:

We are given

The perimeter is 40 feet and the length of a rectangle is 4 more than its width.

Let the length be " l " and the width be " w ".

As we know that

Rectangle is a four sided polygonal figure, i.e, a quadrilateral, in which the opposite sides are of equal length and are parallel. Also its diagonals bisects each other.

[tex].\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \boxed{ \bf{ \: \: \: \: \: \: }} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \tiny\sf{A \: rectangle} [/tex]

Perimeter = 2 (l + w) unitsArea = lb sq.units

According to the question

Width = w feet Length = w+4 feet

[tex]\qquad[/tex][tex] \pink{\bf \longrightarrow Perimeter _{(Rectangular) } = 2( Length + Breadth) }[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow Perimeter _{(Rectangular) } = 2 (l + w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2( w+ 4 +w)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 2 ( 2w +4)[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 40 = 4w +8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 40-8[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 4w = 32[/tex]

[tex]\qquad[/tex][tex]\sf \longrightarrow w = \cancel{\dfrac{32}{4}}[/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow w = 8 \:feet}[/tex]

Width of perimeter is = 8 feet

Substituting the value of w–

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = (w+4)\: feet }[/tex]

[tex]\qquad[/tex][tex]\bf \longrightarrow Length\: of \: rectangle = 8+ 4 \:feet [/tex]

[tex]\qquad[/tex][tex]\purple{\bf \longrightarrow Length\: of \: rectangle = 12\: feet}[/tex]

Henceforth, The width is 8 ft and the length is 12 ft.

__________________________________________


What is the value of the digit in the hundred thousands place?
61,889,248
A. 60,000,000
B. 800,000
c. 100,000
D. 80,000

Answers

The answer is B. Which is 800,000

Answer:

C

Step-by-step explanation:

move the numbers to the blanks to order them from least to greatest value.

0.1 -9/8 4 |-5/6| -0.78

Answers

Answer:

-9/8, -5/6 -0.78, 0.1, 4

Step-by-step explanation:

since they're negative, it makes them look bigger than others but they're not. I think I got it right. hope I could help!

Solve the inequality.
D
— < -4
-5

Answers

d>20 should be the answer good luck

plsss help mee i donot now the answer

Activity 1: Identifying Hypothesis and Conclusion Directions: Identify the hypothesis and the conclusion for each of the following statements.

1. If you live in Manila, then you live in the Philippines.

2. If a triangle is a right triangle, then one of its interior angle is a 90-degree angle.

3. A square is not a triangle.

4. An even number is divisible by 2.

5. The measure of an acute angle is less than 90.​

Answers

Answer:

1. If you live in Manila(hypothesis) then you live in the Philippines ( conclusion)

2. If a triangle is a right triangle (hypothesis), then one of its interior angle is a 90-degree angle ( conclusion)

3. A square is not a triangle (conclusion)

4. An even number is divisible by 2. (conclusion)

5. The measure of an acute angle is less than 90. (conclusion)

12>-2(y-4) solve the inequality

Answers

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to the Sun. In the image, drepresents the distance from a star to the Sun. Using a technique called "stellar parallax," astronomers determined 0 is 0.00001389 degrees.
write an expression to calculate d for any star

Answers

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

[tex]\displaystyle \mathrm{The \ \mathbf{expression} \ to \ calculate \ \mathit{d} \ for \ any \ \mathbf{star} \ is; \ \underline{d \ is \ \frac{1 \, AU}{tan(\theta)}}}[/tex]

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

[tex]\displaystyle \underline{ d \ is \ \frac{1 \, AU}{tan(\theta) }}[/tex]

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

Learn more about trigonometric ratio here:

https://brainly.com/question/14421002

https://brainly.com/question/8514165

Guys this is the last question for the day please help me out.

Answers

Answer:

So it's 350 - D - B.

And 350 - A - D.

Hope that helped?

Can someone please help !!

Answers

i literally dont know
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