A 30° 60° 90° triangle is shown below. Find the length of the side labeled y.

A 30 60 90 Triangle Is Shown Below. Find The Length Of The Side Labeled Y.

Answers

Answer 1

Answer:

Part 1) [tex]y=3\ units[/tex]

Part 2) The length of the hypotenuse is 6 units

Step-by-step explanation:

Part 1) we know that

In the right triangle of the figure

[tex]sin(60^o)=\frac{y}{2\sqrt{3}}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

solve for y

[tex]y=sin(60^o)2\sqrt{3}[/tex]

Remember that

[tex]sin(60^o)=\frac{\sqrt{3}}{2}[/tex]

substitute

[tex]y=(\frac{\sqrt{3}}{2})2\sqrt{3}[/tex]

[tex]y=3\ units[/tex]

Part 2)

Let

h ----> the length of the hypotenuse

we know that

In the right triangle of the figure

[tex]sin(45^o)=\frac{3\sqrt{2}}{h}[/tex] ----> by SOH (opposite side divided by the hypotenuse)

[tex]h=\frac{3\sqrt{2}}{sin(45^o)}[/tex]

Remember that

[tex]sin(45^o)=\frac{\sqrt{2}}{2}[/tex]

substitute

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

[tex]h=6\ units[/tex]


Related Questions

$300 invested at 12% compounded monthly after a period of 1.5 years

Answers

Answer: $358.8 to the nearest tenth

Step-by-step explanation:

Compound interest is calculated by Where: A = P(1 + r)t

Where P= 300, r= 12% = 0.12, t= 1.5 years

Slot in the figures

300 (1 + 0.12) 1.5

300 (1.12) 1.5

300x 1.12

336e1.12

A = $ 358.84

3. What is the correct factorization of x2 – 2x – 15?

Answers

Answer:

(x+3)(x−5)

Step-by-step explanation:

to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative

Hope this will help u..

The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?
(not drawn to scale)

Answers

Answer:

Answer is option c) 118 degrees

Step-by-step explanation:

[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]

If you have any doubts see the image. or write in comments box.

HAVE A NICE DAY !

explanation needed tip by using chain rule​

Answers

Answer:

1/(810pi) cm/s

Step-by-step explanation:

V = pi×r²×h = pi×90²×h = 8100pi×h

dh/dt = dh/dV × dV/dt

dV/dh = 8100pi

dV/dt = 10

dh/dt = (1/8100pi) × 10

= 1/(810pi) cm/s

Solve the equation
−3(x + 8) − x = 2(2x − 7)

Answers

Answer:

-4x-24=4x-14      x is 1

Step-by-step explanation:

solved in my head. please give me brainliest!!!!!

If you are looking for x it would be 1

4x−4<8 AND 9x+5>23 Solve for X.

Answers

Hope this will help u...

A painter estimates she can paint a house in 40 hours. She knows her assistant can do the same job is 60 hours. How long would it take them to paint the house working together?

Answers

24 hours

Step-by-step explanation:

1 hour

Painter1 1/40

Painter2 1/60

together 1/40+1/60=5/120=1/24

The time it would take them to paint a house working together is 24 hours.

How are number of people to time needed to complete a task related?(WORK DONE)

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Time = 40hours

Time for her assistant= 60hours

Now,

First, let’s find their individual rates. The painter can paint 1/40 of a house per hour and the assistant can paint 1/60 of a house per hour. To find their combined rate, we add these fractions:

1/40 + 1/60 = 3/120 + 2/120 = 5/120

This means that together they can paint 5/120 of a house per hour. To find how long it would take them to paint one whole house (or 1/1), we use the formula:

Work done = Rate × Time 1/1 = (5/120) × Time Time

= (120/5) × (1/1) Time

= 24 hours

Therefore, by work and time the answer will be 24 hours.

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please help me asap!!!!

Answers

Answer:

125

Step-by-step explanation:

5 × 5 × 5 = 125

Hope that helped.

Answer:

125

Step-by-step explanation:

5^3 is equivilent to 5*5*5

5*5=25

25*5=125

Find the value of x in the triangle shown below

Answers

61 both side are the same

Solve t. Soving proportion 7-3=4-t t=

Answers

Answer:

t = 0

Step-by-step explanation:

Step 1:  Solve for t

7 - 3 = 4 - t

4 - 4 = 4 - t - 4

0*-1 = -t*-1

0 = t

Answer:  t = 0

Last month, the Nunez family spent $218.85 for 1,214 kilowatt hours of electricity. What is the unit rate per kilowatt hour?

Answers

Answer:

$.18 per kilowatt hour

Step-by-step explanation:

To find the rate per kilowatt hour

Take the price and divide by the kilowatt hours

218.85/1214

.180271829

Since this is money,we round to the nearest cent

$.18 per kilowatt hour

8(4x + 6) what is the answer

Answers

Answer:

32x+48

Step-by-step explanation:

All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.

8(4x)+8(6)

8(4x)=32x

8(6)=48

We therefore have as our answer

32x+48

In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to select the committee?

A. 50,050 ways
B. 3,744 ways
C. 273 ways
D. 34 ways​

Answers

Final answer:

To find the number of ways to form a committee of 9 women and 4 men from a group of 13 women and 8 men, calculate the combinations separately for women and men, and multiply them together. The answer is 50,050 ways. So the correct option is A.

Explanation:

The question involves calculating the number of ways to choose a committee consisting of 9 women from a group of 13 women, and 4 men from a group of 8 men. This is a problem that requires knowledge of combinations, a concept in probability and statistics.

Step-by-step solution:

Calculate the number of ways to choose 9 women out of 13, which is given by the combination formula C(n, k) = n! / (k!(n-k)!), where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial. For the women, C(13, 9) must be calculated.Calculate the number of ways to choose 4 men out of 8, using the same formula. This will be C(8, 4).Multiply the two results to get the total number of ways to form the committee, since the selections of women and men are independent events.

Now, using the combination formula:

C(13, 9) = 13! / (9! × (13-9)!) = 13! / (9! × 4!)C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!)Therefore, the total number of ways to select the committee = C(13, 9) × C(8, 4).

After calculating, we find that the number of ways to form the committee is 50,050, which corresponds to option (A).

What ratio is equivalent to 2/8

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{2}{8}=\dfrac{2\div2}{8\div2}=\boxed{\bf{\dfrac{1}{4}}}}}[/tex]

[tex]\mathsf{Rewrite\ \dfrac{1}{4}\ as\ ratio\ and\ that\ will\ be\ your\ answer!}[/tex]

[tex]\mathsf{\dfrac{1}{4}=\bf{1:4}}[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer: \boxed{\huge\text{\bf{1:4}}}}}}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

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Volume of Prisms & Pyramids Practice
Find the volume of each figure. Be sure to include the units, and circle or box your answers.
1)
4 in
2)
12 m
10 m
2 in
2 in
2 in
2 in
3)
4 ft
4)
10 yd
8 yd
6 yd
8m
6m
9 yd
5 ft
12 ft
5)
11 m
6)
4 ft
12 ft
12 ft
4 ft
2 ft
10 m
4m
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Worksheet by Kuta Software LLC

7)
7 ft
8)
8 m
3m
4m
9)
12 in
9 in
9 in
10)
11 mi
8 ft
6 ft
5m
10 ft
12 in
12 in
11)
12)
6 mi 6 mi
8 mi
8 mi
10 in
10 in
3 in
7 in
5 mi
6 mi
3 in
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6 mi
Worksheet by Kuta Software LLC

Answers

Not sure because I don’t see the figures I’m supposed to find the volume of

2. The 120 sixth graders are going on a
field trip to the museum. The museum
requests a ratio of students to adult
chaperones of 8:1. How many adult
chaperones will be needed?

Answers

Answer:

15 chaperones

Step-by-step explanation:

Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x? - 96x
72x2 - 108
72x2 - 204x + 144

Answers

Final answer:

Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.

Explanation:

In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.

However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.

Learn more about Combining Functions here:

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Help with any please!

Answers

Answer:

1. A

2. 128°

3. 112°

4. 20°

5. 125°

6. 35°

7. 158°

8. 140°

9. B

10. C

Wendy already owns 4 necklaces, and additional necklaces are priced at 1 for a dollar. How
much money does Wendy need to spend on new necklaces in order to own a total of 26
necklaces?

Answers

Answer:

$22

Step-by-step explanation:

If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.

Answer:

She needs to spend $22.

Step-by-step explanation:

She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?

We subtract 4 from 26.

26 - 4 = 22

She needs to buy 22 necklaces to have a total of 26 necklaces.

Each necklace costs $1.

22 necklaces cost 22 times $1.

22 * $1 = $22

Answer: She needs to spend $22.

(24y + 2x)divide(1/4z

Answers

Answer:

96y/z + 8x/z

Step-by-step explanation:

hope this helped

Which is the equation of the function?

f(x) = 3|x| + 1
f(x) = 3|x – 1|
f(x) = |x| + 1
f(x) = |x – 1|

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Part B: If Taylor and Miley both
work for 2 weeks, how much more
will Taylor earn?

Answers

Answer: $661.50

Step-by-step explanation:

Taylor makes $771.25 per week and makes twice that much in two weeks.

2×771.25=2(700+70+1+0.25)=1400+140+2+0.50

So Taylor makes $1542.50 in two weeks.

Miley makes $440.50 per week and so will make $881 in two weeks. Since

1542.50−881=742.50−81=741.50−80=701.50−40=661.50

We know that Taylor will make $661.50 more than Miley in two weeks.

Hope this helps!

A bake sale earns 80$ from selling 50 brownies. Each brownie cost the same amount. How much was 1 brownie?

Answers

$1.60
Divide 80 by 50 to find the cost of one brownie which will then lead you to get you the answer of $1.60

Answer:

cost of one brownie is $1.60

Step-by-step explanation:

Cost of one brownie

$80 from selling 50 brownies

we can create a ratio

80     :    50

x       :      1

we can use cross multiplication to solve this:

80 = 50x

80/50 = x

x = $1.60

cost of one brownie is $1.60

What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?
slope = -1
Slope = -1/2
slope = -2

Answers

Answer:

The slope is -1/2 which is Option B

Step-by-step explanation:

A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.

Example:  Find the line perpendicular to y = 3x

First, you flip the sign which makes 3 into -3

Next, you make the reciprocal which makes -3 into -1/3

Problem: Find the line perpendicular to y= 2x + 5

First, you flip the sign which makes 2 into -2

Next, you make the reciprocal which makes -2 into -1/2

Answer:  The slope is -1/2 which is Option B

The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.

Opposite → -2

Reciprocal → -1/2

Therefore, the answer is -1/2

Best of Luck!

what is the value of 4(3x + 5) when x = 11?

Answers

Answer:

152

Step-by-step explanation:

3(11)= 33

4(33+5)

4(33)=132

4(5)=20

132+20=152

Final answer:

The value of the expression 4(3x + 5) when x = 11 is 152. This was calculated by replacing x in the equation with 11, simplifying the resultant equation and finally calculating the product.

Explanation:

The student has asked to compute the value of 4(3x + 5) when x = 11. This a problem in the field of Algebra, where 'x' is a variable and the equation 4(3x + 5) is an expression.

First, let's substitute x in the equation with 11. So the equation becomes 4(3*11 + 5). Let's simplify the equation. This gives us 4(33 + 5), which equals 4*38. Multiplying 4 by 38 gives us the final answer, 152.

Learn more about Algebra here:

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Which expressions are equivalent to 7⋅7⋅7⋅7⋅7⋅7
SELECT 2 Answers
It's FROM KHAN academy

Answers

Answer:

7^6

and

7⋅7⋅7⋅7⋅7⋅7/1

Step-by-step explanation:

Hope this helps! It would be better for me to see the selections though.

Answer:

A - 7^8/7^2
C - (7^2)^3

Step-by-step explanation:

So there's a question exactly like this on khan, so here's the khan answer
Don't worry I tested it

Can someone help me please

Answers

Answer:

q<5

Step-by-step explanation:

Since the line goes to the left of 5, q must be less than 5.

The open circle on 5 means that it cannot include 5.

Therefore, q is less than (<) five

Find the slope of the line that passes through -2,5 and -1,1

Answers

Answer:

m= -4

Step-by-step explanation:

use the slope formula m=rise/run  y2-y1/x2-x1

the answer to this is -4

solve the system of equations -x-y=-4 and -2x+4y by combining the equation

Answers

what does the second equation equals to? (-2x+4y=?) I’ll help u out

Answer:

×=8/3 and y=4/3

Step-by-step explanation:

-x-y=-4

-2x+4y=0

-2x=-4y

x=2y

so -2y-y= -4 and x= 2•4/3

-3y=-4 x=8/3

y=4/3

Find the value of x to the nearest tenth! Help ASAP

Answers

The value of x is 10.

Solution:

Given triangle is a right triangle.

θ = 50°, adjacent side = 6, hypotenuse = x

The value of cos 50° = 0.6

Using trigonometric ratio formulas,

[tex]$\cos \theta=\frac{\text { Adjacent side of } \theta}{\text { Hypotenuse }}[/tex]

[tex]$\cos50^\circ=\frac{6}{x}[/tex]

[tex]$0.6=\frac{6}{x}[/tex]

Do cross multiplication, we get

[tex]x\times 0.6=6[/tex]

Divide by 0.6 on both sides, we get

[tex]$\frac{x\times 0.6}{0.6}=\frac{6}{0.6}[/tex]

x = 10

The value of x is 10.

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