find the missing leg length for a right triangle with hypotenuse 40 ft and leg 21 ft

Answers

Answer 1

Answer:

34feet

Step-by-step explanation:

Using the pythagoras theorem

Hyp^2 = opp^2 + adj^2

Given

Hypotenuse = 40ft

Opp = 21ft

Required

Adjacent

Substitute

40^2 = 21*2 + adj^2

1600 = 441 + adj^2

adj^2 = 1600 - 441

adj^2 = 1159

adj = √1159

adj = 34.ft

Hence the missing length is 34feet


Related Questions

As you know, there are three doors. Behind one door is a fabulous prize.
Behind the other two doors are bogus prizes. When you pick the first door
another door will open and show you a bogus prize, leaving the door you
picked and the third door closed. You once again pick one of the two closed
doors. You will either get the fabulous prize or the bogus prize

Answers

Ok I don’t get it what are you trying to say

Answer:

What do you mean

Step-by-step explanation:

15=5x+45

What is the value of x?

Answers

15 = 5x + 45

15 - 45 = 5x

-30 = 5x

-30/5 = x

-6 = x

Answer:

x= -6

Step-by-step explanation:

15=5x+45

15-45=5x

-30=5x

-30/5=5x/5

-6=x

x= -6

(60 points)!
What type of angles are ∠4 and∠6?





Question 2 options:

adjacent angles


alternate exterior angles


alternate interior angles


corresponding angles


none of these

Answers

When we take two parallel lines they will create 8 angles, such as 1,2,3,4,5,6,7 & 8. In that angle 6 is 65 degrees. Angles 1,2,3 & $ are in one line and remaining four angles on other line. So Angles 4 and 6 are alternate exterior angles.

2.5
pocket money in the ratio 6:5. Calculate Jannie's adjusted monthly pocket money.
Khaya is delivering groceries to his mother who stays 8km from the shop. How long will it take him
to cover this distance if he drives at an average speed of R65km/h? Give your answer rounded to the
nearest minute.

Answers

Answer:

pzie6zkezkzorzozirusultaluspuar

I need a answer ASAP​

Answers

Answer:

8

Step-by-step explanation:

y = (10x^2 + 3x^4)/ 2x^2

where x is not equal to 0

(20x + 12x)/4x

32x / 4x

= 8

which expression is equivalent to 3(9p+2r)

Answers

Answer:

27p+6r

Step-by-step explanation:

3(9p+2r)

1 Solve the product  3(9p+3 2r)

3⋅9p+3x2r

Multiply 3 times 9

27p+3x2r

Final Answer

27p+6r

Please help me in ASAP

Answers

Step-by-step explanation:

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Pass:HELLO

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what is the square root of 7875​

Answers

Answer:

7875−−−−√225⋅35−−−−−−√ 225−−−√35−−√ 1535−−√

7875−−−−√=88.74119674649424

hope that helps!

(Due in 20 minutes)
The three side lengths of four triangles are given. Which triangle is a right triangle?

Triangle 1: √13, 6, 7


Triangle 2: 7, 8, 13


Triangle 3: 10, 11, 12


Triangle 4: √10, 9, 8

Answers

I think it’s triangle four

can somebody help me solve for x.

Answers

Answer:

8/3

Step-by-step explanation:

x : 4 = 4 :  6

x = 16/ 6

x = 8/3

Select the correct answer.
Choose the number sentence that illustrates the distributive property of multiplication over addition.

6 × (5 + 8) = (6 × 5) + 8

6 × (5 + 8) = (6 + 5) × (6 + 8)

6 × (5 + 8) = (6 × 5) + (6 × 8)

Answers

Answer:

Probably B.

Step-by-step explanation:

Convert 2.88 x 10-12 into standard notation

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: IF you meant 2.88 x 10^-12 The answer is: 0.00000000000288 OTHERWISE i don't know what you were asking

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:1.6799999999999997 x 10^1

1. Select all the equations where x = 5 is a solution.* A. 2x + 4 = 14 B. 5x = 55 C. 6x + 3 = 14 D. 8 + 3x = 23 E. 6x = 30 F. 5x = 1​

Answers

Answer:

A,D,E. Hope this helps!

Step-by-step explanation:

A. x=5

B. x=11

C. x=11/6

D. x=5

E. x=5

F. x=1/5

Please help me. I need help

Answers

Answer: (2x+11)(x+1)

Step-by-step explanation: 2x  2  +11x+2x+11 then x(2x+11)+(2x+11) and that should get you to (2x+11)(x+1)

Hope this helped :))

SOMEONE PLEASE HELP!! I NEED TO GET THIS RIGHT

Answers

Answer:

middle

Step-by-step explanation:

Helpssbwjmeekndhshhsbdh

Answers

b. 2.35 :)) goodluck!

Help pls


Reasoning Each month, a shopkeeper spends 7x +19 dollars on rent and electricity. If he spends
5x – 2 dollars on rent, how much does he spend on electricity? Use pencil and paper. For which
value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you
found the value(s).

Answers

Answer is in the file below cut.Brainly.com

The amount spent on electricity is 2x + 21. And the value(s) of x is the amount the shopkeeper spends on electricity less than $100 is less than 39.5.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Reasoning Each month, a shopkeeper spends 7x +19 dollars on rent and electricity. If he spends 5x – 2 dollars on rent.

Then the amount spent on electricity is given as,

⇒ (7x + 19) - (5x - 2)

⇒ 7x + 19 - 5x + 2

⇒ 2x + 21

The value(s) of x is the amount the shopkeeper spends on electricity less than $100 is given as,

2x + 21 < 100

2x < 79

x < 39.5

The amount spent on electricity is 2x + 21. And the value(s) of x is the amount the shopkeeper spends on electricity less than $100 is less than 39.5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Amira wrote the inequality p + 5 = 18. Which situation is best represented by this inequality?

Answers

Answer: Amira added 5 candy bars to the p pile of candy bars there were no more than 18 candy bars in the pile.

Step-by-step explanation: hope this helps

What are the first six multiples of 18​

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

The first six multiples of 18 are :-

18, 36, 54, 72, 90, 108

Hope it helps!

mark me brainliest plz....

Follow me! :)

Myopia in children. Myopia, also called short-sightedness, is a common visual impairment that is reaching alarming proportions worldwide. The condition typically develops in school-age children and adolescents. It has long been thought that the condition was associated with too much reading, but recent evidence suggests instead that a lack of exposure to natural outdoor light may play a role. To investigate this new theory, researchers compared rates of myopia among randomly selected young children (6 and 7 years old) of Chinese ethnicity living in either Sydney (Australia) or Singapore. The researchers found that 4 of the 124 children in the Australian sample had myopia, compared with 183 among the 628 children from Singapore.
a. Display the findings in a two-way table. What percent of the children in the study had myopia? What is that percent among the children living in Australia and among those living in Singapore?
b. The researchers obtained information for most of the children in the study about their weekly amount of time in hours) spent reading or writing and the weekly amount of time in hours) spent on outdoor activities. Here are the summary statistics:
Time reading/writing Number of children Mean Standard deviation
Australia 109 20.8 13.9
Singapore 611 17.8 8.8
Time outdoors Number of children Mean Standard deviation
Australia 102 13.75 1.02
Singapore 586 3.05 0.12
How do the children from both countries in this study differ in how they spend their time?
c. Does the study suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children? Does it suggest that more time spent outdoors is associated with a greater risk of myopia? Can we draw a conclusion of causality based on this study?
d. The children enrolled in this study were all of Chinese ethnicity. What is the advantage in this study of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity?

Answers

Answer:

a. A two way table is presented as follows;

[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]

ii) The percentage of students in the study that have myopia are approximately 24.867%

iii) The percentage of children living in Australia with myopia are approximately 3.2258%

The percentage of children living in Singapore with myopia are approximately 29.14%

b. Children in Australia spend more time reading, writing and also outdoors than children in Singapore

c. The study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

The study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage is to reduce associated variables the generate more accurate findings or result

Step-by-step explanation:

a. A two way table is presented as follows;

[tex]\begin{array}{cccc}&Had \ Myopia&Do \ not \ have \ Myopia& Totals\\Sydney \ (Australia)&4&120&128\\Singapore&183&445&628\end{array}[/tex]

ii) The percentage of students in the study that have myopia are;

(4 + 183)/(124 + 628) × 100 ≈ 24.867%

iii) The percentage of children living in Australia with myopia is given as follows;

4/124 × 100 ≈ 3.2258%

The percentage of children living in Singapore with myopia is given as follows;

183/628 × 100 ≈ 29.14%

b. The data for the time spent reading and writing is presented as follows;

                    Number of children  [tex]{}[/tex]  Mean     Standard deviation

Australia        109       [tex]{}[/tex]                      20.8        13.9

Singapore [tex]{}[/tex]    611                               17.8          8.8

The data for the time spent outdoors is presented as follows;

                    Number of children  [tex]{}[/tex]  Mean     Standard deviation

Australia        102       [tex]{}[/tex]                       13.75        1.02

Singapore [tex]{}[/tex]    586                               3.05        0.12

From the data, more children in Australia spend more time reading and writing and also outdoors than children in Singapore

c. From the data, more children spend their time reading and writing in Australia and are also less likely to develop myopia than children in Singapore

Therefore, the study does not suggest that more time spent reading or writing is associated with a greater risk of myopia among the enrolled children

Similarly, the study does not suggests that more time spent outdoors is associated with a greater risk of myopia

d. The advantage of collecting data from children with the same ethnicity compared with selecting random samples of children from each location regardless of ethnicity is to reduce the variables or influential factors that may alter the impact on the test and the results

which expression is a factor of x^2-5x-6​

Answers

Answer:

(x - 6)(x + 1)

Step-by-step explanation:

These are the factors

First, find the factors of 6                 6             /  /    \  \            1  2   3  6

1 and 6 make 52 and 3 also make 5

But which one makes -5-3+2=-1   -2+3=1So not 2 and 3

-1+6=5   -6+1=-51 and -6 works

This means the factors as (x - 6) and (x + 1).

Hope this helps,

Kavitha

P.S - Have an awesome day!!

Find the mean, median, mode, and range of the following data set.

15, 12, 19, 15, 16, 13, 15.

Mean:

Median:

Mode:

Range:

Answers

12 13 15 15 15 16 19

mean: 15

median: 15

mode: 15

range: 7

Answer:

12, 13, 15, 15, 15, 16, 19

Step-by-step explanation:

Mean: 15

Median: 15

Mode: 15

Range: 7

A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on

Answers

Answer:

The diameter is in the 77th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

25.14 mm and standard deviation 0.08 mm.

This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]

A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?

This is the pvalue of Z when X = 25.2. So

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

[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.77.

The diameter is in the 77th percentile.

One in five 18-year-old Americans has not graduated from high school (The Wall Street Journal, April 19, 2007). A mayor of a northeastern city comments that its residents do not have the same graduation rate as the rest of the country. An analyst from the Department of Education decides to test the mayor's claim. She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school. Compute the point estimate for the proportion of 18-year-olds who have not graduated from high school in this city. (Round your final answer to 2 decimal places.)

Answers

Answer:

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

Step-by-step explanation:

The point estimate is the sample proportion.

She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school.

This means that:

[tex]p = \frac{20}{80} = 0.25[/tex]

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

There was 7L punch for the birthday party. How many mL punch was there?

Answers

1mL = 0.001 L
there was 7000mL of punch

Answer:

7000 milliliters of punch for the birthday party

A line's y-intercept is 4, and its slope is 1/2. What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

The slope-intercept equation is written out like so:

y = mx + b

M stands for your slope: 1/2

B stands for your y-intercept: 4

So, your equation is y = 1/2x + 4

PLEASE HELP!!!!!!!!!!! ASAP!!!!!!!!!!!

A freight train from city A to city B and a passenger train from city B to city A left the cities at the same time, at 10:00 AM, heading towards each other. The distance between the cities is 360 miles. The freight train is traveling at 50 mph, the passenger train is traveling at 70 mph.

At what TIME will the trains pass each other?

Answers

Answer:

at 1 pm

Step-by-step explanation:

1809
×308
_____

______​

Answers

Answer:

557152

Step-by-step explanation:

You first multiply the 8 in 308 to the 9 in 1809, then the 0, then the 9, then finally the 1 in 1809. For the tens place, don't forget to put a zero under the ones place because that's not where you start. So for 0 everything is 0 so just put a line of 5 zeros in the second row. Lastly, the 3 multiplies to 9, 0, 8, and the 1 in 1809. In the 3rd row, put 2 zeros because you're multiplying to get the hundreds place. Line and add them all up to get 557152. Hope this helps!

Answer:

1809 x 308 eqauls 557,172

if you click the image it will show you how to solve the equation step by step. I hope this helps you.

20% of ___ is 10 pls help me ✌

Answers

Answer:

200

Step-by-step explanation:

i hope this is right if not sorry

20=1/5 of 100 so that means 20 in 1/2=10 and 100 in 1/2=50 answer=50 u welcome my guy

If a jar contains 5 red marbles, 4 blue marbles, 7 yellow marbles, and 3 green marbles, what is
the probably that a randomly selected marble is red or yellow?

Answers

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

Likely

Step-by-step explanation:

The answer is likely because out of 19 marbles the probablility o choosing a red or yelow marble is 12. When you divide 12 by 19 then you get 63 which is close to the likely side.

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