In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.

In A 30-60-90 Triangle, The Length Of The Hypotenuse Is 30. Find The Length Of The Shorter Leg.

Answers

Answer 1

Answer:

15

Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30

Answer 2

Answer:

15

Step-by-step explanation:


Related Questions

18 divided by 89 X 6892 Multiplied by the 16th power to 7813

Answers

Answer:

ur dad lololol

Step-by-step explanation:

hehehehehehe

Each locker is shaped like a rectangular prism.

One locker has more storage space by how many more cubic inches (in3)?

Answers

Answer:

60*12*10-48*12*15=7200-8640=-1440

The red locker has more storage space by 1440 cubic inches.

Step-by-step explanation:

The red locker has more storage space by 1440 cubic inches.

We have given that,

Each locker is shaped like a rectangular prism.

What is the formula for the area of a rectangular prism?

The area of rectangular prism = 2(lb + bh + lh)

One locker has more storage space by how many more cubic inches

=60*12*10-48*12*15

=7200-8640

=-1440

The red locker has more storage space by 1440 cubic inches.

To learn more about the rectangular prism visit:

https://brainly.com/question/24284033

Find the distance between the two points in simplest radical form.
(3, -8) and (-2,-1)

Answers

√ 74
use the distance formula to determine the distance between the two points

In the figure below, AE intersects HR at L, m∠VLH=50° , and ∠HLA≅∠ELR . What is m∠ALR ? A 140° B 90° C 50° D 40°

Answers

Step-by-step explanation:

A 140

its obtuse. Hope this helps :)

a 140 because ELR is 40° and 180-40 is 140

jannete has 326 pennies, 64 nickles, and 15 dimes. if she has to exchange her coins for dollars how many dollars will she have ? how many cents will remain?

Answers

Answer:

She will have 7 dollars, with 96 cents remaining.

Step-by-step explanation:

326 pennies is $3.26

64 nickels is $3.20

15 dimes is $1.50

Add them all;

$3.26 + $3.20 + $1.50 = $7.96

She will have 7 dollars, with 96 cents remaining

Jason walked 6 miles in 2 hours. At this same rate, what is the total number of miles Jason could hike in 9 hours?

Answers

Answer:

17 hours is the total of miles he walked

Answer:

Step-by-step explanation:

rn = 6 miles in 2 hrs

we want 9 hours

Per hour it will be 3 miles

3 miles = 1 hr

6 miles = 2 hrs

9 miles = 3 hrs

12 miles = 4 hrs

15 miles = 5 hrs

18 miles = 6 hrs

21 miles = 7 hrs

24 miles = 8 hrs

27 miles = 9 hrs

All you basically had to do is multiply the 9 hours with 3 since that's how much you get per mile, and then you get your total of 27 miles

Hope this helped!

Have a supercalifragilisticexpialidocious day!

What is an equation of the line thatpasses through the point (-1,-3) and is parallel to the line 4x-y=2?

Answers

Answer:

Explanation:

First, you put the equation into the standard “slope/intercept” form.

4x -y = 2 subtract 4x from both sides ; -y = -4x + 2 Multiply by -1 :

y = 4x - 2

In this standard form we see that the slope of the line (coefficient of x) is 4. ANY line parallel to this one must thus also have a slope of 4.

y = 4x - a (generic)

ANY other combination of slope multiples and constant terms will therefore also be lines parallel to this one. The one that passes through a specific point will simply have a different constant term.

We find this by putting our point value into the equation:

3 = 4(-2) + a ; 3 = -8 + a ; a = 11

Thus, our “parallel line equation” through the point (-2,3) is:

y = 4x + 11

Answer:

y = 4x + 1

Step-by-step explanation:

first put the equation 4x-y=2 into the form y = mx + b where m is the slope and b is the y-intercept (for example, y = 2x - 1 would have 2 is the slope and -1 is the y-intercept)

4x - y = 2

subtract 4x from both sides

-y = -4x + 2

multiply both sides by -1

y = 4x - 2

That means the slope of this line is 4.

Parallel lines always have the same slope, so the slope of the new line is also 4. You can again put the new equation into the form y = mx + b. You already know that the slope is 4, so y = 4x + b.

Next, you need to find b. You know that (-1, -3) is a solution, so if you plug x = -1 and y = -3 into the equation, it should be true.

You can put that into the equation to solve for b:

-3 = 4 * -1 + b

-3 = -4 + b

1 = b

This means the equation is y = 4x + 1

A home owner purchased the following items to repair a door one box of screws priced at $3.75 one tube of caulk priced at $3.99 two pieces of glass priced at $12.50 each what is the total price of dollars and cents The homeowner paid for these items

Answers

That would be 18.45 and that’s my answer

Answer: $20.24

Step-by-step explanation: add 3.75+3.99+12.50

3- 8 + 4(3x + 3)
+2y
Thanks!!!

Answers

Answer:

7+12x+2y

Step-by-step explanation:

3-8+(12x + 12)+2y=

-5+(12x +12)+2y=

7+12x+2y

Answer:

Simplified, your answer should be 12x + 2y + 7

Step-by-step explanation:

Hope this helps! :)

Have a nice day! ♥

Which inequality is represented by the graph? 3 NI 5 6 4 OA. 21 - 5y 3​

Answers

Answer:

a

Step-by-step explanation:

22 miles in 12 hour: miles

Answers

Answer:

1.67 mph

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

Given the graphed function below, which of the following ordered pairs are
found on the inverse function?
A. (2, -11),(1,-8),(0,-5),(-1,-2).(-2, 1)
B. (11,-2), (8, -1), (5,0), (2,1),(-1,2)
C. (-11,2).(-8,1),(-5,0),(-2,-1), (1, -2)
D.(-2,-11).(-1,-8),(0,-5), (1, -2), (2, 1)

Answers

The option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function shown in the picture.

Let's assume the points (2, 0) and (0, 5) lie on the line which is shown in the graph.

The linear function from these two points:

[tex]\rm y=\dfrac{\left(0-5\right)}{\left(2\right)}\left(x-2\right)[/tex]

[tex]\rm y=\dfrac{\left5\right}{\left2\right}\left(x-2\right)[/tex]

To find the inverse of a function interchange the value of x and y:

The inverse function:

[tex]\rm x=\dfrac{\left5\right}{\left2\right}\left(y-2\right)[/tex]

After plotting the points:

(11, -2), (8, -1), (5, 0), (2, 1), (-1, 2)

The points will lie exactly lie on the inverse of a function.

Thus, the option (B) (11, -2), (8, -1), (5, 0), (2, 1), and (-1, 2) is correct because the points will lie exactly lie on the inverse of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

)) How many solutions does this equation have?
12 + 4t - 14t = -13t - 18

Answers

Answer:

t = -10

Step-by-step explanation:

Ok so,

12 - 10t = -13t -18

12 - 10t + 13t = -13t + 13t - 18

12 + 3t = -18

12 - 12 + 3t = -18 - 12

3t = -30

t = -10

hope this helps! have a good day!

Help please! Could you explain it too?

Answers

Answer:

a. Not proportional

b. Proportional;

k = ⅞

Step-by-step explanation:

A proportional relationship is usually represented in the format, y = kx. k here represents constant of proportionality. This shows that x and y are directly proportional.

a. y = -2x + 9 is not a proportional equation.

b. y = ⅞x is a proportional equation.

Constant of proportionality: k = ⅞

HELP!!!(will give brainliest)

Answers

Answer:

B

Step-by-step explanation:

It is either 33 or 66 inches but I think it is B

Let's say a student scored 33 on a math achievement test for which scores are normally distributed with mean
43 and standard deviation 10.
What proportion of students finished worse than her?

Answers

Answer:

15.87%

Step-by-step explanation:

We are given;

x¯ = 33

μ = 43

σ = 10

Let's first find the z-score from the formula;

z = (x¯ - μ)/σ

Thus;

z = (33 - 43)/10

z = -10/10

z = -1

From the table attached the p-value at z = -1 is p = 0.15866 ≈ 0.1587 = 15.87%

Thus, proportion of students finished worse than her is 15.87%

Graph the system of equations:
y = -2x + 5
- 3x + 3y = -12

What would this graph look like? The answer plots at (3,-1) but how would the graph lead up to that point?

Answers

Answer:

I posted a picture on the graph and how the two point intercept eachother

Step-by-step explanation:

Hope this Helped

81^3x÷3^4x=729 solve for x

Answers

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

The cost of staying in a hotel is given by the formula C=50d+20, where C is the cost in £ and d is the number of days a person stays. Find the cost of staying for:
a) 6 days
b) 2 weeks
c) If the cost is 120 then how many days the person can stay

Answers

Answer:

a) £320

b) £720

c) 2 days

Step-by-step explanation:

The question is all about inputting values and finding a result or rearranging and finding a result.

a) d = 6. C = 50(6)+20      = 320

b) d = 2x7 (7 days a week)  C = 50(2x7) + 20     = 720

c) C = 120 ... 120 = 50d+20

100 =50d      d = 100/50      = 2

ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles ​

Answers

Answer:

angle a is 110

angle B is 110

angle C is 70

what is the value of 1/2 the power of 6

Answers

Answer:0.0156250

Step-by-step explanation: (x)n = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/64

PLEASE HELP ME 20 POINTS + BRAINLIEST

Answers

Answer:

48 ft²

Step-by-step explanation:

The question is only asking for the rectangular part, so you would do 12 • 4 = 48.

, 4), perp. to y=-2x - 4​

Answers

Answer:

+1/2

Step-by-step explanation:

If the slope of the given line is -2, the slope of a line perpendicular to the given line is the negative reciprocal of -2, or +1/2.

He can run 5 miles in 50 minutes what is the unit rate that he runs in one minute ?

Answers

Answer:

10 because

5 divide by 10 = 50

Step-by-step explanation:

give brainest or answer my question

do you have a microsoft account if you do the i can invite you in microsoft reward and maybe we can get microsoft 365

Maths-please help Factorise 3y+15

Answers

Answer:

3(y + 5)

Step-by-step explanation:

Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.

Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.

So that:

3y + 15= 3([tex]\frac{3y}{3}[/tex] + [tex]\frac{15}{3}[/tex])

           = 3(y + 5)

The outcome of the process is 3(y + 5).

what is the area of this quadrilateral please help FAST!!!

Answers

C, 80 square feet.

Have a nice day!

The tolerance limits for a circuit breaker are Amperes. This means that any circuit breaker that breaks at an amperage less than 39.5 breaks at too low a level and any that breaks at an amperage greater than 40.5 breaks at too high a level. If a shipment of circuit breakers possesses break points that are normally distributed with mean 39.3 and standard deviation 0.2, then what percentage of the shipment is defective

Answers

Answer:

84.13% of the shipment is defective

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normally distributed with mean 39.3 and standard deviation 0.2

This means that [tex]\mu = 39.3, \sigma = 0.2[/tex]

What percentage of the shipment is defective

Less than 39.5 or greater than 40.5.

Less than 39.5:

This is the pvalue of Z when X = 39.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39.5 - 39.3}{0.2}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a pvalue of 0.8413.

Greater than 40.5:

1 subtracted by the pvalue of Z when X = 40.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{40.5 - 39.3}{0.2}[/tex]

[tex]Z = 6[/tex]

[tex]Z = 6[/tex] has a pvalue of 1

1 - 1 = 0

Total:

0.8413 + 0 = 0.8413

84.13% of the shipment is defective

I need help! This is due in 30 minutes!!!

Answers

Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees

A car dealership increased the price of a certain car by .13% The original price was 38,600.

Answers

Answer:

$43,618

Step-by-step explanation:

Find the price of the car after this price increase.  Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase.  Thus, we can answer this question by multiplying $38,600 by 1.13:

$38,600*1.13 = $43.618.  This is the price for which the dealer sells the car.

Tony invests $3,000 dollars in an account earning 12% interest per year. How long will it take
him to make $3960 dollars in simple interest?

3 years
5 years
8 years
11 years

Answers

Answer: 11 years

Step-by-step explanation: 3960 divided 12%= 33,000 divided 3000=11

Answer: it will take 11 years

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