The hypotenuse of a right triangle measures 15 cm and one of its legs measures 4 cm.
Find the measure of the other leg. If necessary, round to the nearestytenth.

Answers

Answer 1

Answer:

14.5 cm

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

c = hypotenuse (15)

to solve for b (other leg), the equation is  b^2 = c^2-a^2

15^2 - 4^2 = 209

[tex]\sqrt{209}[/tex] = approx. 14.5

the other leg is (rounded to the nearest 10th) 14.5 cm


Related Questions

The sum of eight and twice a number is 42

Answers

Answer:

8 + 2n = 42

Step-by-step explanation:

the sum of eight:   ___+ 8

and twice(2) a number(could be any variable but for now i choose n):   2n + 8

is 42 (literally mean it equals 42):    2n + 8 = 42

What is the purpose of the air in air hockey?

Answers

Answer:

A fan within the center of the table blows air through these holes in order to allow the puck to quickly glide across the table surface. This movement of air is the reason why we call the sport "air" hockey vs. just table hockey. There are two holes at opposite ends of the table that make up a goal.

Step-by-step explanation:

me encontré $100, luego mi papá medio $80, pero yo le di a mi mamá $70 cuánto me queda​

Answers

Answer:

te queda $110

Step-by-step explanation:

espero que te sirva

find the value of x. (geometry)

Answers

Answer:

18.02 units

Step-by-step explanation:

Which inequality is the solution to 20+2 <
Ž -8?

Answers

Answer:

the 20 +2

Step-by-step explanation:

I need help with this

Answers

Answer:

I don`t know sorry

Step-by-step explanation:

An arithmetic sequence is described by the function f(n) = -3n + 7.
Determine the first five terms of this sequence

Answers

Answer:

the first five terms are: 4, 1, -2, -5, -8

Step-by-step explanation:

To find the first five terms, you simply input the numbers (1-5) into the equation.

[tex]-3(1)+7=4[/tex]  

[tex]-3(2)+7= 1[/tex]

[tex]-3(3)+7=-2[/tex]

[tex]-3(4)+7=-5[/tex]

[tex]-3(5)+7=-8[/tex]

plz mark me brainliest. :)

help plz plz plz

Pentagon ABCDE is similar to pentagon RSTUV . The perimeter of pentagon ABCDE is 36.8 centimeters.


What is the length of ST ?

19.8 cm
18 cm
25.8 cm
15 cm

Answers

Answer:

ST = 15 cm

Step-by-step explanation:

find BC first by adding four other sides and subtracting from 36.8

sum of 4 sides is 30.8, so BC = 6

Now find ST by creating a proportion from corresponding sides:

BC / ST = DE / UV

6 / ST = 13.2 / 33

Cross-multiply:

13.2ST = 198

ST = 198/13.2

ST = 15

Enter your answer in simplest form.

4 × 3/5

Answers

Answer:

Step-by-step explanation:

Answer:

Fraction form: 12/5

Decimal form:2.4

Mixed number form:2 2/5


Jake has 4 hours before bedtime. He must spend 1 1/2 hours doing homework. The rest of the time will be spent doing puzzles. It takes Jake 3/4 hour to
complete each puzzle. Write an equation that models the number of puzzles (p) that Jake can complete before bedtime.

Answers

Answer:

3 1/2 = 1/2*p-2

Explanation: p is number of puzzles

Answer:

He completes 3 1/3 puzzles

Step-by-step explanation:

1 hour 30 mins+ 45 minutes+45 minutes+45 minutes+15 minutes = 4hrs

You are given the following equation: (x+3)^2 + (y+9)^2 = 144 What is the
radius? *

Answers

Answer:

12

Step-by-step explanation:

(x-h)^2 + (y-k)^2 = r^2 so taking the square root of 144 gives you 12


An illustration of a cell interacting with its environment is provided.
Call membrane
The illustration best represents which of the following?
Water moving into a cell by the process of osmosis
2 Ο Ο Ο Ο.
Passive transport of solute into the cell by diffusion
Active transport of solute into the cell using energy
Water leaving the cell by the process of osmosis

Answers

Answer:

the 1st one

Step-by-step explanation:

thank u and have a nice day and i hope this helped

A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses

Answers

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses

.Which point is located at (4, –2)?

On a coordinate plane, point A is 2 units to the left and 4 units up. Point B is 4 units to the right and 2 units down. Point C is 4 units to the left and 2 units up. Point D is 2 units to the right and 4 units down.
A
B
C
D

Answers

the answer is B; the first unit is a position 4 on the x axis, so it goes to the right by 4. -2, in the y axis, would go down. hope this helps!

Point B is 4 units to the right and 2 units down from the origin points.

What are coordinates?

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, point is located at (4, –2)

Since on the option distance given is from Origin points,

Since we know in coordinates Plane.

X = 4 would be at 4 units right of the origin

y = -2 would be at 2 units down of the origin.

Thus point (4, -2) will be 4 units right and 2 units down from the origin.

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ6

Determine whether the given procedure results in a binomial distribution. If not, state the reason why?
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
a. Not binomial: the trials are not independent.
b. Not binomial: there are more than two outcomes for each trial.
c. Procedure results in a binomial distribution.
d. Not binomial: there are too many trials.

Answers

Answer:

b. Not binomial: there are more than two outcomes for each trial.

Step-by-step explanation:

Binomial probability distribution:

We need

Fixed number of trials.

Independent trials.

Each trial can be reduced to a yes/no proposition.

Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.

There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.

Which is a true statement about the transformation shown?

Answers

Answer:

B is the answer

Step-by-step explanation:

The transformation is a reflection across the y axis and you can see that they are congruent because the points are exact mirrored images.

Can someone explain this to me? Pls

Answers

Step-by-step explanation:

In Triangle (the symbolΔ)QRS,

Angle R is congruent to Angle Q,

And side QR=11

And side SQ=8

Find.The length of RS.

The_______allowed farmers to plow fields using horses.

(heavy plow/horse collar)​

Answers

the horse collar allows the farmers to plow fields using horses

Answer:

horse collar

Step-by-step explanation:

Please can someone help me with this

Answers

10x + 30

10(x+3)

10 x X = 10x

10 x 3 = 30

10x + 30

Please help me for brainliest.

Answers

Answer:

Step-by-step explanation:

D

Answer:

D

Step-by-step explanation:

Let's look at the statement.

7y = 14x  and  y = 2x does have infinitely many solutions. Why? Because the first equation can be rearranged to look like the second one. If you divide 7y and 14x by 7, you end up with y = 2x. Look familiar? This means the set of equations has infinitely many solutions.

What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?

The answer is 300N

Answers

So what am I supposed to do with this?. Answer’s already given

Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.

Answers

Answer:

Step-by-step explanation:

Given that:

[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]

(a) For x = 54 and s = 5.3

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]

Z = -1.132

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-1.132,35,1) = 0.1326

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

b

For x = 53 and s = 4.6

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]

Z = -2.6087

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(-2.6087,35,1) =0.0066

Decision: p-value is < significance level; we reject the null hypothesis.

[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]

c)

For x = 56 and s = 5.0

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]

Z = 1.2

degree of freedom = n - 1

= 36 - 1

= 35

Using the Excel Formula:

P-Value = T.DIST(1.2,35,1) = 0.88009

Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]

[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]

Pls help meeeeeeeeeeeee

Answers

Answer:

4 Hours and 25 Minutes to Seconds is - 15900

Step-by-step explanation:

In a marathon,mike finished ahead of fred.emma finished after fred.john finished after agnes and agnes finished later than emma.in what sequence did each of them finish the marathon?​

Answers

Answer:

Mike Fred Emma Agnes John

Step-by-step explanation:

Mike Fred Emma Agnes John

Create a list of the names in the order they're given and order them through the information provided.

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answers

12 fishes are in the tank

A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?

Answer:

Step-by-step explanation:

12angelfish(8fish/3angelfish)=32 fish

A family of 4 bought 6 bags of peanut

Answers

Answer:

24

Step-by-step explanation:

Um. I guess you just multiply 6 x 4 and you get 24

the answer for this problem is 24

please help!!
(3x-4)(x+2)

Answers

Answer:

3x^2+2x-8 is the answer

pls help soonnnnn i need number 2

Answers

Answer:

3 3/16 lbs is the total amount the puppies weigh

There are two mystery numbers. The sum of 7 times the first number and 5 times the second number is -11. The sum of 10 times the first number and 8 times the second number is -20. What are the two numbers?

Answers

first is 2, second is -5

Pls help I really need help pls

Answers

Answer:

h=-18

Step-by-step explanation:

h+9=-9

h= --9-9

h=-18

Answer:

H = -18

Step-by-step explanation:

h+9 = -9

-9 = -9

cancels

h = -9 -9

h = - 18

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