Find the missing length of the longer leg in the
30° – 60° – 90° triangle.
short leg = 2
a 2v3
b7v2
с 67
d 475

Answers

Answer 1

Answer:

A) 2√3

Step-by-step explanation:

Side ratios of 30°-60°-90° triangle:

a : b : c = 1 : √3 : 2

Given:

a = 2

Find b:

2 : b = 1 : √3b = 2*√3/1b = 2√3

Correct choice is A

Answer 2

So

We know the ratio

x:y:z=30:60:90=1:√3:2

Now

x=2

So

2:y=1:√3y=2√3

And

2:z=1/2z=4

Option A


Related Questions

In a study of 500 children from a city, 238 were randomly selected to receive a new vaccine. The other 262 children were randomly selected to receive a placebo. The children and the physicians did not know to which group they had been assigned. After five years, 22 of the 238 children who received the vaccine had been infected with malaria; while 28 out of the 262 children who received the placebo had been infected with malaria.

A) Is this an experiment or an observational study?

B) What are the variables? Which are categorical/quantitative?

C) Using the information above, fill in the two-way table to determine whether the vaccine is effective.

Please hellppp (Statistics Math) worth 100 points

Answers

Answer:

A: Experiment

B: The variables are the vaccine and placebo. The kids are categorical.

C: I can't fill out the table if I dont see one... sorry!! Good luck!

Step-by-step explanation:

Please help me solve this problem ASAP

Answers

Answer:

Isnt the Area of an triangle a 180 degrees

Step-by-step explanation:

¿como se representa 13 enteros 3/4 en numero decimal?
la necesito para hoy y rapido porfa

Answers

Answer:

13.75

Step-by-step explanation:

8x + y = 3
-8x - y = 3 ​

Answers

Answer:

Step-by-step explanation:

there will be no solution

Mr and mrs Boyden take their 3 children to a leisure park.
they buy tickets for the whole family
the cost of an adult ticket is £6 more than the cost of a child ticket
the total of the cost of the five of the tickets is £82
work out the cost of an adult ticket

Answers

Answer:

The Answer Should Be 20

explanation:

Hope This Helps :)

How many triangles can be formed with segments measuring 1 2/3 mm, 1 3/4 mm, and 2 1/2 mm?


Select from the drop-down menu to correctly complete the statement.



Choose...

can be formed from these segments.

Answers

Answer:

One

Step-by-step explanation:

Took the test!

Answer:

ONE TRIANGLE

Step-by-step explanation:

TOOK TEST

Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.

A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.

At which times could Rory's phone have been plugged into the charger? Select three options.

6 hours
9 hours
11 hours
14 hours
19 hours

Answers

9, 11, and 19 ( B, C and E) hope it helps and i am very sorry if its incorrect

A student increases the temperature of a 100 cm³ balloon from 60°C to 120°C. What will the new volume of the balloon be? 118 cm³ 200 cm³ 236 cm³ 400 cm³.

Answers

Volume is directly proportional to the temperature. The volume of the new balloon is given by: Option B: 200 cm³

What is the relation between volume and temperature for a gas?

If the initial volume and temperatures for a gas(assuming behaving ideally) are written as: [tex]V_1[/tex] and [tex]T_1[/tex], and the changed volume and temperatures are [tex]V_2[/tex] and [tex]T_2[/tex], then we have:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}[/tex]

For the given case, we are provided that:

Volume of balloon at [tex]T_1 = 60^\circ C[/tex] is [tex]V_1 = 100 \: \rm cm^3[/tex]

Let for temperature [tex]T_2 = 120^\circ C[/tex], we get volume of balloon (which is the volume of the air inside it) as [tex]V_1 = x \: \rm cm^3[/tex]

Then, by the volume-temperature ratio, we get:

[tex]\dfrac{V_1}{T_1} = \dfrac{V_2}{T_2}\\\\\dfrac{100}{60} = \dfrac{x}{120} \implies x = 2 \times 100 = 200 \: \rm cm^3[/tex]

Thus, the volume of the new balloon is given by: Option B: 200 cm³

Learn more about volume and temperature relation for ideal gases here:

https://brainly.com/question/936104

Answer: 118 cm3

Step-by-step explanation:

I took the test it was correct

=
17
6
× 12 in

WHATS THE ANSWER

Answers

Answer:

34 = 34/1

Step-by-step explanation:

17/6 x 12/1 =  34

I am not entirely sure but if I am understanding what your trying to ask the answer is 34.

Select the choice that translates the following verbal phrase correctly to algebra:

the product of 12 and y increased by 11

Answers

Step-by-step explanation:

( 12 × y ) + 11

The product of 12 & y = 12 × y

Increasing = adding = (12×y) + 11

12y + 11.

Please help asap
I cant figure out the answer

Answers

Answer:

B

Step-by-step explanation:

using the formula 0.75 time the 160 is 120. so s squared divided by 30.25 should equal approximately 120

going through the answers and dividing them by 30.25 is the easiest way to do so. 60 squared is 3600 divided by 30.25 is 119.008

Please help me I am very confused and need help!!!!!!

Answers

Answer:

See below.

Step-by-step explanation:

3*3.14 = 9.42

9.42+5 = 14.42

The answer is point A.

-hope it helps

Answer:

A

Step-by-step explanation:

Pi has an infinite number of digits, but you don't need very many of them to answer the question!

[tex]\pi \approx 3.14[/tex] (the symbol  [tex]\approx[/tex]  means "approximately equal to").

The quantity [tex]3\pi + 5 \approx 3(3.14)+5=9.42+5=14.42[/tex].  In other words, you are looking for a point between 14 and 15.  It's point A.

Which situation would require determining volume? Nick wants to know how much tile it takes to cover the floor of a room. Min wants to know how much fence is needed to go around the edge of his yard. Sarah wants to know how much water her fish tank can hold. I don't know.

Answers

Answer:

Sarah's fish tank

Step-by-step explanation:

Nick needs area - the space covering a flat surface

Min needs perimeter - the distance around something

Sarah needs volume - the space inside something

A restaurant owner washed 94 kilograms of vegetables, some spinach and some cucumbers. The spinach came in 10-kilogram bags and the cucumbers came in 9-kilogram bags. The owner washed 10 bags of vegetables in all. How many bags of each kind did he wash?

Answers

Answer:

6 bags of cucumber

4 bags of spinach

Step-by-step explanation:

let s = number of bags of spinach

let c = number of bags of cucumber

If the owner washed 10 bags of vegetables in total, then

s + c = 10

The spinach came in 10kg bags and the cucumbers came in 9kg bags, and the owner washing 94kg of veg in total:

10s + 9c = 94

Rewrite s + c = 10 to make s the subject, substitute it into 10s + 9c = 94, then solve for c:

s + c = 10

⇒  s = 10 - c

⇒ 10(10 - c) + 9c = 94

⇒ 100 - 10c + 9c = 94

⇒ -c = -6

⇒ c = 6

Substitute c=6 into s + c = 10 and solve for s:

s + 6 = 10

⇒ s = 4

Please help! Will give Brainiest!
Suppose y varies directly with x. Write an equation relating x and y.
y= 12 when x=4

options:

1. y= 4x

2. y= -3x

3. y= 3x

4. y= 1/3x

Answers

3. y=3x

y=3x
12=3(4)
12=12

1.  12 = 4(4) ----> 12 = 16

2. 12 = -3(4) ------>12 = -12

3. 12 = 3(4) -------->12 = 12

4. 12 =  1/3(4) --------> 12 =  4/3

What are the factors and zeros of the function f(x)=−2x2+7x+15?

Answers

Solving the quadratic function, it is found that the factors/zeros of the function are given by x = -1.5 and x = 5.

What are the factors/zeros of a function?

They are given by the solutions of the function, that is, the values of x for which f(x) = 0.

In this problem, the function is given by:

f(x) = -2x² + 7x + 15.

Then:

-2x² + 7x + 15 = 0.

Which is a quadratic function with coefficients a = -2, b = 7, c = 15, hence:

[tex]\Delta = 7^2 - 4(-2)(15) = 169[/tex]

[tex]x_1 = \frac{-7 + \sqrt{169}}{2(-2)} = -1.5[/tex]

[tex]x_2 = \frac{-7 - \sqrt{169}}{2(-2)} = 5[/tex]

The factors/zeros of the function are given by x = -1.5 and x = 5.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ2

25% of what number is 20?​

Answers

Answer:

80

Step-by-step explanation:

x*.25=20

x=20/.25

x=80

80 is the number explanation: 25% of 80= 20 hope this helps and if it doesn’t im so sorry!

how maNY solutions do these equations have? No solution, one solution, infinite solutions.

a) y = 2x + 3 and y = -2x + 11

b) y = x + 2 and -2x + 2y = 4

c) y = x - 3 and y = x + 6

d) y = 7 and y =3x-5

e) y = -4x and y = -4x - 1

Answers

Answer:

See below.

Step-by-step explanation:

a) y = 2x + 3 and y = -2x + 11

 One solution.  They are straight lines with different slopes, so they will intersect at some point.  

b) y = x + 2 and -2x + 2y = 4

  -2x + 2y = 4 can be rearranged to 2y = 2x +4 and then y = x + 4

    Both lines have the same slope, 1.  They are parallel and will never meet.  No solutions.

c) y = x - 3 and y = x + 6

 This has the same answer as c.  Parallel lines (both have slopes of 1.).  They will never meet:  no solutions.

d) y = 7 and y =3x-5

One solution.  Straight lines with different slopes (3 and 0) so they will cross at one point.  [At (4,7)]

e) y = -4x and y = -4x - 1

Same slopes.  There are no solutions.

Rob wants to put 8 baseball cards on each page in an album.

Rob's Sports Cards
Collection
Sport Number of Cards
Baseball 296
Basketball 197
Football 96
Hockey 71


How many pages will he fill?

He will fill
pages.

Answers

Add them up then divide by 8 which is 82.5 but he filled .5 up so it would be counted as another whole which the answer is 83 pages filled

Sally lives 18 miles from Job A. A work week is five days. How many miles would she have to drive each week just to get to and from work?

Answers

Answer:

Sally would have to drive 180 mi in a workweek.

Step-by-step explanation:

You multiply the number of miles it takes her to get to her job by how many times she drives to and from work a day. (She drives 18 mi to work and 18 to get home) (18•2=36) So she drives 36 mi in one day. Then you multiply the number of miles she drives per day (36) by how many days she works a week (5) and you get 180 mi in a workweek.

A number is as much greater than 21 as it is less than 71 . find the number​

Answers

Answer:

25

Step-by-step explanation:

Your answer is 25.

More than meaning adding

Less than meaning subtraction

Brainliest? :)

Determine whether the statement makes sense or not (Please help)

Answers

Answer:  No

=======================================================

Explanation:

The number [tex]7 \times 10^{10}[/tex] is the number 7 followed by 10 zeros

[tex]7 \times 10^{10} =[/tex] 70,000,000,000 = 70 billion

According to statista.com, there are roughly 229 million drivers in the US (based on a 2019 survey).

Divide the two amounts to get:

(70 billion)/(229 million) = (70*1000 million)/(229 million) = 305.677 approximately

This indicates that each driver uses about 306 gallons of gas per day.

This value is way too high.

Therefore, the initial claim does not make sense.

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

Upon further research, the site eia.gov states that Americans use about 337 million gallons of gasoline per day (not 70 billion).

Notice how (337 million)/(229 million) = 1.472 approximately which is far more realistic. It makes more sense to have any given driver use somewhere between 1 or 2 gallons of gas per day. Of course, all of this depends on the person's location from home to work, the amount of traffic, etc.

In a blueprint, each square has a side length of 1/4 inch. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?

(as you can see, I already got the answer for a. I just need the answer for b.)

Answers

b.

Bedroom area

Lenght = 5 squares

= 5 × 1/4 inchi

= 5/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 5/4 × 1 inchi

= 5/4 inchi

Living room

Lenght = 7 squares

= 7 × 1/4 inchi

= 7/4 inchi

Width = 4 squares

= 4 × 1/4 inchi

= 1 inchi

Large area = 7/4 × 1 inchi

= 7/4 inchi

Total Area

Bedroom area + Living room area

= 5/4 + 7/4

= (5+7)/4 inchi

= 12/4 inchi

= 3 inchi

1 square yard = 1296 square inches

so 1 square inches = 1/1296 square yard

3 inchi = 3×1/1296

= 3/1296

= 1/432

Cost = 1/432 × $18

= $1/24

It would cost $1/24 to carpet the bedroom and living room.

anyone have any idea please help a bit confused theres 2 images dont worry its not alot

Answers

Answers and Step-by-step explanations:

Question 1:

I'm sorry, for this question I am not 100% sure that this answer is correct, but I am going to go with "standard form." I chose this answer because standard form tends to be one of the most easiest methods to use when it comes to graphing, besides the slope intercept form of "y=mx+b." Standard form is also one of the most useful forms to use when finding intercepts, which in this case the question is mentioning the x-intercept.

Question 2:

So for this question, it is asking you about translations on graphs. When a line is translated units away from another line, it means that it is typically the same line just moved an amount of units over.

(I have included the graphs in the attachment. The red line represents the first equation given, and the blue line represents the second equation that was translated up.)

The graph shows that the second (blue) line was translated 3 units up.

I hope that this helps.

Evaluate xy when x = 5 and y = 3.

Answers

Answer:

x=5

y=3

NOW,

or,x×y

or,5×3

or,15 answer

Answer:

15

Step-by-step explanation:

This indicates the multiplication operation.

Given: x =5, y=3

xy= 5 and 3

5 * 3 = 15

xy= 15

Please help I don’t know the answer!!

Answers

Answer:

wait do u have a word bank or anything like words to go with it or numbers ????

IF YOU DON'T MIND, HELP ME

Answers

Answer:

1824 in²

Step-by-step explanation:

This figure consists of a triangle and a rectangle.

To find the area of the entire figure , we have to find the area of the triangle and the rectangle separately and add them.

Let us solve now.

Area of the triangle

Area = [tex]\frac{1}{2}[/tex] × base × height

Area = [tex]\frac{1}{2}[/tex] × 48 × 12

Area = [tex]\frac{1}{2}[/tex] × 576

Area = 288 in²

Area of the rectangle

Area = length × width

Area = 48 × 32

Area = 1536 in²

Area of the entire figure

Total area = Area  of the triangle + Area of the rectangle

Total area = 288 in² + 1536 in²

Total area = 1824 in²

Hope this helps :-)

Let me know if you have any other questions :-)

im so confused pleaseeee help

Answers

Answer:

99mm^2

Step-by-step explanation:

Area of a rectangle: A = l*w

Length: 11mm

Width: 9mm

A = 11 * 9

A = 99 mm^2

Hope this helps!


in the given figure ABCD is a piece of land find the length of side BD and BC and the area of the land

Answers

Answer:

use Pythagoras theorem by dividing the plane into two triangles one is triangel ABD and triangle DBC.

Pamela's age is three times Jiri's age. The sum of their ages is 116. What is Jiri's age?

Answers

Answer:

29

Step-by-step explanation:

Let Jiri's age be 'x'. Pamela's age is 3x since Pamela's age is three times Jiri's age.

The sum of their ages is 116:

x + 3x = 116

4x = 116

x = 116 ÷ 4 = 29

x = 29

Jiri's age is 29

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