In a right triangle the leg opposite to the acute angle of 30° is 7 in. Find the
hypotenuse and other leg.

Answers

Answer 1

Answer:

in the explanation

Step-by-step explanation:

In a 30-60-90 triangle, the ratio of the leg opposite to 30 to the leg opposite to 60 to the hypotenuse is 1:[tex]\sqrt{3\\}[/tex]:2.

So, the 7 inch leg is the 1, the other leg is 7[tex]\sqrt{3}[/tex] in and the hypotenuse is 14 in.

Hope this helps!


Related Questions

The average person that weighs 150 pounds has approximately 4.5 liters of blood in their body. Based on that same scale, supposedly how many liters of blood would a 250 pound person have?

Answers

Answer:

First you find how many pounds for 1 litre of blood. Trick is if you divide x by y, the answer you get will follow the unit of x. So if you divide 150 pounds by 4.5 litres, the answer will be 33.33 pounds per litre. So how many 33.33... is there in 250? Just divide 250 by 33.333 or (150/4.5), you'd get 7.5. That means for there's 7.5 parts of 33.333 pounds in 250 pounds. And if 33.333 pounds is equal to 1 litre of blood, you get 7.5 liter!

Pls help I need it don’t understand

Answers

Answer: one solution.

Complete the given operation and write the expression in standard form.

Answers

Step-by-step explanation:

Using synthetic division of polynomials 3x⁴-2x²+4x+9÷x+2. Rewrite the dividend as 3x⁴+0x³-2x²+4x+9

2 | 3 0 -2 4 9

| 6 -12 20 -32

3 -6 10 -16 41

So the quotient is 3x³-6x²+10x-16 with a remainder of 41

Therefore, 3x³-6x²+10x-16+(41/x+2)

Find the value of the x in the equation 4(6x-9.5)=46

Answers

Answer:

3.5

Step-by-step explanation:

First you distribute. 24x-38=46.

Then add 38 to both sides

24x=84

Then divide both sides by 24

x=3.5

Answer:

x= 3.5

Step-by-step explanation:

[tex]4(6x-9.5)=46\\24x-38=46\\ +38 +38\\\\frac{24x}{24} = \frac{84}{24} \\ x=3.5[/tex]

Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.


Jada ran how much farther than Noah?

Answers

Answer:

Jada ran 1.977 miles farther than Noah.

Step-by-step explanation:

Jada = 7.1m [J=7.1] & Noah = 5.123m [N=5.123] & Additional miles = AM

J-A=AM

7.1-5.123=AM

7-5=2, 0.1-0.123=-0.023

2-0.023=1.977

AM=1.977

Cole’s backyard is rectangular an has a perimeter of 104 meters. The ratio of its length to its width is 6:2. What length is the long side of Cole’s backyard?


Help Me To Find The Answer Please !!!!!!!

Answers

Answer:

[tex]39\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given:\\Perimeter\ of\ Cole's\ backyard=104\ meters\\Now,\\Let\ the\ constant\ of\ proportionality\ between\ the\ length\ and\ the\ width\ of\\ Cole's\ backyard\ be\ x.\\Hence,\\Length\ of\ Cole's\ backyard=6x\\Breadth\ of\ Cole's\ backyard=2x\\Hence,\\As\ we\ know\ that,\\Perimeter\ of\ a\ rectangle=2(l+w)\\Hence,\\Here,\\Perimeter\ of\ Cole's\ backyard=2(6x+2x)=2(8x)=16x\\Hence,\\As\ the\ perimeter\ of\ Cole's\ backyard=104\ m,\\104=16x\\x=\frac{104}{16}=6.5\\Hence,\\[/tex][tex]Length\ of\ Cole's\ backyard=6x=6*6.5=39\ m\\Width\ of\ Cole's\ backyard=2x=2*6.5=13\ m\\Here,\\We\ are\ asked\ Length,\\Hence,\\Length\ of\ Cole's\ backyard=39\ m[/tex]

Need help ASAP :)
Question on the picture:)

Answers

Answer:

a. No

b. Yes

Step-by-step explanation:

a.

x - 4 = 12

x - 4 + 4 = 12 + 4

x = 16

16 ≠ 8

Therefore, the following value given for problem a is not a solution to the given equation.

b. (3 + x)/4 = 3

(3 + x)/4 * 4 = 3 * 4

3 + x = 12

3 + x - 3 = 12 - 3

x = 9

9 = 9

Therefore, the following value given for problem b is a solution to the given equation.

party trays, which cost $14.00 to make not including labor, are sold for $35.00. if two people work 8 hour shifts making the trays at $7.00 per hour, how many trays must be sold to cover all cost including labor?

Answers

Answer:

I think its $76

Step-by-step explanation:

please help https://brainly.com/question/20406553

A fair charges a $15 entry fee plus $3 for every
ride. Write an expression to represent the total
cost of the fair? HELLPP

Answers

Answer:

15 + 3r

Step-by-step explanation:

$15 entry fee plus $3 for every

ride.

Please help me answer this!

Answers

Answer:

the answer is c

Step-by-step explanation:

4x = 4 x 2=8

8+12=20

which is equal to or greater than 8

Hope this helps plz mark brainliest

When a numerator equals zero, a ratio is what?

Answers

Answer:

A numerator is allowed to take on the value of zero in a fraction. Any legal fraction (denominator not equal to zero) with a numerator equal to zero has an overall value of zero. all have a fraction value of zero because the numerators are equal to zero.

What are some of the more significant limitations of mathematical models as imitators/predictors of natural phenomena

Answers

Answer:

See explanation

Step-by-step explanation:

A mathematical model refers to a mathematical function that describes natural phenomena.

Models are used to approximate natural phenomena hence they are not really exact representations of reality. Thus mathematical models are inherently imperfect and so is our understanding of natural phenomena represented by these mathematical models.

The mathematical parameters used in models to represent real processes are uncertain since they are determined from experiment or represent more than one process.

Lastly, the initial and the boundary conditions in a model may not be explicitly established.

Could someone help me please it’s a math question !

Answers

Answer:

1/4

Step-by-step explanation:

The answer the other guy told is wrong.

The probability of choosing an orange marble is 2/8 and 2/8 simplified equals 1/4

A lab scale weighs 3 pounds, 5 ounces. Which of the following is the scale weight in (oz)?

a. 35 oz
b. 53oz
c. 41
d. 29oz

Answers

Answer:

53 ounces

Step-by-step explanation:

We know that,

1 pound = 16 ounce

3 pounds = 48 ounces

We need to find the weight in 3 pounds, 5 ounces.

3 pounds, 5 ounces = 48 ounces+ 5 ounce

= 53 ounces

So, the scale weight is 53 ounces. Hence, the correct option is (b).

500 - 237 in subtraction standard algorithm

Answers

Answer:

is 267 the answer your looking for

Answer:263

Step-by-step explanation:

Start from the ones place and subtract.

Bamboo grows at a rate of 3 inches every month. Gina planted Bamboo when it was initially only 11 inches. -Create an explicit formula for this situation. -How tall will the plant be after 6 months?

I’ll give brainliest if you are correct.
Please answerrrrr

Answers

Answer:

Step-by-step explanation:

initial growth = 11

growth in 6 months= 3*6= 18

Final growth = 29 inches (11+18)

The sides of an equilateral triangle are reduced by 12 units, 13 units and 14 units respectively and a right-angle triangle is formed. Find the length of each side of the equilateral triangle?

Answers

Answer:

the length of each side of the equilateral triangle = 17

Step-by-step explanation:

suppose the side length of equilateral triangle = x

The 3 side of right triangle formed (by side length): x-12 , x-13, x-14

(x-13)² + (x-14)² = (x-12)²  .... Pythagorean theorem

x² -26x + 169 + x² -28x + 196 = x² -24x + 144

x² - 30x +221 = 0

(x- 17) (x - 13) = 0

x = 17 or x = 13

if x = 13  the right triangle will have a side length of 13-13=0 ... not solution

x = 17

check: 17-12=5     17-13=4     17-14=3

3²+4² = 25 = 5²

Please simplify: 5x + 2 (x - 3) = -2 (x - 1)

Answers

Answer:

x= 8/9

Step-by-step explanation:

Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9

An on-demand printing company has monthly overhead costs of $1,900 in rent, $450 in electricity, $80 for phone service, and $230 for advertising and marketing. The printing cost is $40 per thousand pages for paper and ink. The average cost for printing x thousand pages can be represented by the function C(x)= 2660+40x/x

For a given month, if the printing company could print unlimited number of pages, what value would the average cost per thousand pages approach? What does this mean in the context of the problem?

Answers

Answer:

$40

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

Step-by-step explanation:

Given that:

Monthly overhead costs in rent = $1900

Costs in electricity = $450

Costs for phone service = $80

Costs for advertising and marketing = $230

Printing cost per thousand pages = $40

If number of pages printed are [tex]x[/tex] thousand then cost of printing for [tex]x[/tex] thousand pages = $40[tex]x[/tex]

Average cost to print [tex]x[/tex] thousand pages can be given as:

(Total fixed cost + Total cost of printing [tex]x[/tex] thousand pages) divided by [tex]x[/tex]

[tex]\dfrac{2660+40x}{x}[/tex]

Now, it is given that an infinite number of pages are printed in a month, and we have to find the value that average cost would approach to.

[tex]\lim_{x \to \infty} (\dfrac{2660+40x}{x})[/tex]

Let us solve the above limits.

[tex]\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x+\dfrac{40x}{x})\\\Rightarrow \lim_{x \to \infty} (\dfrac{2660}x)+40\\\Rightarrow 40+\lim_{x \to \infty} (\dfrac{2660}x)[/tex]

When

[tex]x\rightarrow \infty\Rightarrow \frac{2660}{x} \rightarrow 0[/tex]

Putting the value in the limits, we get:

Average cost per thousand pages month would approach to [tex]\rightarrow \$40[/tex]

It means that when an infinite number of pages are printed in a month then the fixed cost will be negligible.

.
If the value of x is -4, which inequality is true?

Answers

what are the inequalities ?

Find the slope and Y intercept from the equation 12x+3y=6

Answers

Answer:

slope = -4                         y-intercept = (0, 2)

Step-by-step explanation:

12x + 3y = 6

-12x           -12x

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

3y = -12x + 6

3y/3 = -12x/3 + 6/3

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

y = -4x + 2       ( this is in y = mx + b form, m representing the solpe and b representing the y-intercept)

This being said, the slope = -4 and the y-intercept = (0, 2).

What is the domain and range for the function graphed below

Answers

Answer:

c

Step-by-step explanation:

if you look, the x values will go on forever, however in the y value, the lowest value is -6, but the y values afterwards are infinite

A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets back home at 10:00, how many miles did he run

Answers

Answer:

13.5

Step-by-step explanation:

no explenation needed

Triangle XYZ is reflected across the x-axis, and X = (–11, 8). What are the coordinates of X’ ?

Here are your choices:
A) (11,–8)

A) (–8, 11)

A) (11, 8)

A) (–11, –8)

I hope this question isn't confusing you guys∪ω∪

Answers

9514 1404 393

Answer:

  (-11, -8)

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

For X(-11, 8), the reflected point is X'(-11, -8).    (matches the last choice)

Answer:

IS THIS REALLY FOR HIGH SCHOOL

Step-by-step explanation:

IF NOT I WILL ANSWER

How many degrees are in a 29 sided figure?

Answers

Answer:

4860 degrees

Step-by-step explanation:

Triangle=180

Square=360.

The pattern: increase by 180.

Triangle=3 sides.

29-3 is 26.

26*180+180

4860.

Hope this helps :D

2 circle graphs. One circle graph is titled Freshmen Movie Preference. 38 percent is comedy, 27 percent is horror, 23 percent is drama, 9 percent is romance, 3 percent is documentary. Circle graph 2 is titled Senior Movie Preference. 19 percent is comedy, 4 percent is horror, 71 percent is drama, 1 percent is romance, 6 percent is documentary. The freshman and senior classes were surveyed on movie preference. Each class has 100 students. Which statements are true? Check all that apply. More seniors like drama than freshmen. More freshmen like comedy than seniors. Only 4 seniors prefer horror movies. Twice as many seniors like horror than freshmen. Twice as many freshmen like comedy than seniors.

Answers

Answer:

you probably got the answer already but its a, b, c, and e

Step-by-step explanation:

i just got the answer

Answer:

abce

Step-by-step explanation:

make a math card game

Answers

Answer:

Use Close Call to practice two-digit addition or subtraction. The best math card games are simple at heart. To play Close Call, each player deals themselves four cards then determines how to arrange them so they make two two-digit numbers that add up as close as possible to 100 without going over.

I have no clue but have a great day or night

Joseph paid $10 for six avocado at a grocery mart he wants to know what the price will be buying different numbers of avocado what is the price of 9 out of avocado ​

Answers

What we need to know is what price will be buying from the different numbers of avocado to know what is the price of 9 out of avocado.

The answer is going to be 5.00 because the price of it for the avocados are 3 because 6 are 10 which all you had to do was divide 10 by 2 so that the answer would be 5.

Answer: $15

9 avocados = $15

Step-by-step explanation:

1 x 3 = 9

5 x 3 = 15

Our Data:

Avocados       Price (dollars)

3                      5

6                      10

9                      15

So, our answer is $15

y'all i need help immediately

Answers

Answer:

Option B

Step-by-step explanation:

Don't trust answers teachers don't bother to spell correctly. Plus, finding the 100th term is very easy.

However, the explicit formula will take a long time to use, because it's explicit.

Option C is just wrong. You're supposed to multiply in the recursive formula.

Option D might be correct, but never trust those answers. Teachers do that to trip you up

Can someone check this thanks

Answers

Answer:

That is correct! Good boy, you get a treat. :)

Step-by-step explanation:

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