in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

a=12 (height)

c=13 (hypotenous)

b=? (base)

By using Pythagoras theorm

We have, hypotenous sq=base sq+height sq

Let b =base SO, base sq=hypotenous Sq-height Sq

=>base Sq =13sq-12sq

Base Sq =169-144

Base Sq =25

Base =5 (shifting the sq)....

Hope it's helpful


Related Questions

Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}









y=−7x+3
y=−x−3

Answers

Answer:

(1,-4)

Step-by-step explanation:

Given:

y = −7x+3

y = −x−3

Computation:

y = −7x+3......eq1

y = −x−3.......eq2

Eq 1 - 2

-6x + 6 = 0

x = 1

So,

y = −7x+3

y = −7(1)+3

y = -4

So,

(1,-4)

Mr. and Mrs. Brown went to two movies. The first one lasted 3 1/2 hours and the second one lasted 1 1/3 hours . How much longer was the first than the second movie?

Answers

Answer:

2 1/6 longer

Step-by-step explanation:

3 1/2-1 1/3

7/2 - 4/3

21/6-8/6

13/6 or 2 1/6

so 2 1/6 longer.

Hope this helps :D

Answer:

2 1/6 hours longer

Step-by-step explanation:

Hope the helps!

Write the data from greatest to least: 0.8, 0.79, 0.08, 0.81, 0.09, 0.9, 0.89

Answers

Answer:

0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08

Step-by-step explanation:

Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8

Step-by-step explanation:

First find the greatest

0.09, 0.89,0.81, 0.08, 0,79

Then the least

0.9 .0.8

Now put it all together  

0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8

ABCDE is a regular pentagon. Find each lettered angle measure.

Answers

Answer:

x° = 36°, y° = 36°, z° = 72°

Step-by-step explanation:

Each interior angle of a regular polygon is given by the following formula;

Interior angle = (n - 2)×180°/n

Where;

n = The number of sides on the polygon

For the pentagon, we have;

n = 5, therefore;

Interior angle = (5 - 2)×180°/5 = 108°

ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;

∠ADC = ∠DAC = x°, and ∠ACD = 108°

Therefore

x° = (180° - 108°)/2 = 36°

x° = 36°

∠BAC = 2·x° + y° = 108°

∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°

y° = 36°

ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each

Therefore, in ΔADE, we have;

z° = (180° - 36°)/2 = 72°

z° = 72°

A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

Y’all know this anything about this?

Answers

We are given:

Parallelogram CDEF∠C = 13x - 10∠D = 5x + 10

To Find: ∠E

Concept Used:

Adjacent angles of a Parallelogram are Supplementary

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

HELP!!! STATS!!!
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time.

Stats question, I'm really stck please help me!

Answers

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]  

     

Need help geometric sequences see pic for details

Answers

Given:

The recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]

[tex]a_1=-3[/tex]

To find:

The explicit formula of the given geometric sequence.

Solution:

We know that, first term of geometric sequence is [tex]a_1=-3[/tex].

Recursive formula of a geometric sequence is

[tex]a_n=a_{n-1}\times r[/tex]      ...(i)

where, r is common ratio.

We have,

[tex]a_n=a_{n-1}\cdot (\dfrac{1}{8})[/tex]    ...(ii)

On comparing (i) and (ii), we get

[tex]r=\dfrac{1}{8}[/tex]

The explicit formula of a geometric sequence is

[tex]a_n=a_1r^{n-1}[/tex]

Putting [tex]a_1=-3[/tex] and [tex]r=\dfrac{1}{8}[/tex], we get

[tex]a_n=-3\left(\dfrac{1}{8}\right)^{n-1}[/tex]

Therefore, the correct option is D.

Solve the following equations | 3x + 3/7 | = 2 1/3

Answers

Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

can u pls help me with this question ​

Answers

I believe it is 8 if not I’m sorry

In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.

Answers

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

How many solutions does this equation have?
-3n = -4n + 7

Answers

Answer:

just one: 7 you isolate the numbers by doing -3n + 4n = 7, and u get n = 7

Answer:

2

Step-by-step explanation:

my soulstinos were Solution 1)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

8

3

n

=

8

3

n

3

=

8

3

3

n

3

=

8

3

n

=

8

3

Solution 2)

3

n

+

7

=

1

3

n

+

7

7

=

1

7

3

n

+

0

=

6

3

n

=

6

3

n

3

=

6

3

3

n

3

=

2

n

=

2

The solution is:

n

=

8

3

and

n

=

2

Which value is equivalent to the expression 4^5

Answers

Answer:

20

Step-by-step explanation:

good monke good monke dog

Answers

Answer:

very inspirational thanks

Step-by-step explanation:

Answer:

monke

Step-by-step explanation:

In a random sample of 300 people in a town, 193 were female. What is the sample portion of female

Answers

Answer: 0.643

Step-by-step explanation:

There are 300 people and 193 were female.

The sample portion that is female is therefore;

= 193/300

= 0.643

A cylindrical soup can has a radius of 8.4 cm and a height of 13.2 cm. What is the volume of the soup can to the nearest tenth of a cubic centimeter?
A= 110.9 cm3

B= 348.3 cm3

C= 673.8 cm3

D= 2926.1 cm3

Answers

Answer:

Option D: 2926.1 cm³

Step-by-step explanation:

Dimensions of the cylidrincal soup can are given as;

Radius; r = 8.4 cm

height; h = 13.2 cm

Formula for area of cylinder is;

A = πr²h

Plugging in the relevant values gives;

A = π × 8.4² × 13.2

A = 2926.05 cm³

Approximating to the nearest tenth gives;

A = 2926.1 cm³

Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist ​

Answers

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

BRAINLIST AND MANY OTHERS THINGS

Kyle's home is located at point (0 , 0). Kyle travels up for 5 miles, right for 6 miles, down for 10 miles, left for 6 miles, and finally up again for 5 miles. What is Kyle's new location?

Answers

Answer:

1, 0

Step-by-step explanation:

Just go on a chart graph and do what it asks and you get that.

Count by 5’s starting with 99

Answers

104, 109, 114, 119, 124, 129, 134, 139, 144, 149

hehe

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!


Answers

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)

Answers

for just the flour he would pay 206$ but for the flour and delivery he would pay 242.50$

Which expressions are equivalent to 6a(5+d) ?

Select each correct answer.


30a+6ad

30ad

30a+(6a⋅d)

(6a⋅5)+(6a⋅d)

11a + d

Answers

Answer: A is correct i think

Step-by-step explanation:  6a x 5 = 30a

                                              6a x d = 6ad

Answer:

A

Step-by-step explanation:

What is the value of the expression below when x=5?

Answers

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

The answer should be 790

Simplify.
12 + 15 : 3x6 - 4

Answers

Answer:

Step-by-step explanation:

Divide the numbers

12+153⋅6−412+153⋅x6−412+315​⋅x6−412+56−412+5x6−4 12+5x6−4

Harry's amount of money is 75% of Kayla's amount of money

Answers

Answer:

Add vaslues

Step-by-step explanation:

How much money does kayla have?

There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices

Answers

Answer: There are 990 croissants

Step-by-step explanation:

If 45% of them are pretzels then 55% of the pastries hs to be croissants.

Multiply 55% by the total number of pastries to find the number of croissants.

55% * 1,800 =  990

what is the final position of (-7) + (-2) on a number line ?

Answers

Answer:

answer is A, source: a calculator

Step-by-step explanation:

if you are adding two negitives, take the signs away and add normal, then add the sign back at the end, ONLY WORKS WITH TWO NEGITIVES AND HAS TO BE ADDITION

Answer:

Step-by-step explanation:

It’s 9 because you make 7 and 2 a positive number

Solve for u .

-24 = u ÷ 6

u =

Answers

Answer:

[tex]u = - 144[/tex]

Step-by-step explanation:

[tex] - 24 = u \div 6[/tex]

[tex] - 24 \times 6 = u[/tex]

[tex] - 144 = u[/tex]

to be sure

[tex] - 24 { = }^{?} - 144÷6[/tex]

[tex] - 24 = - 24[/tex]

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS

What is the sum of 2x-5y+x+y

Answers

Answer:

3x - 4y

Step-by-step explanation:

2x + -5y + x + y

Group Like terms:

2x + x + -5y + y

2x + x = 3x

-5y + y = -4y

3x - 4y

16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.

Answers

7.5cm

lets take point K represent lenght from M to perimeter of circle.

r is radius

KM= r-OM= r-4.5cm

now lets draw line from O to A (OA)

we get triangle.

hypotenuse is OA and it equals r(radius)

ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)

use pythaghorean theorem

squares of sides added = square of hypotenuse

20.25+36=r^2(our hypotenuse is radius)

56.25=r^2

r=√56.25=7.5cm

Answer:

The radius of the circle is 7.5 cm

Step-by-step explanation:

Circles and Lines

The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.

We have attached an image with some additional measures to solve the problem.

Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.

The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:

[tex]r=\sqrt{6^2+4.5^2}[/tex]

[tex]r=\sqrt{36+20.25}[/tex]

[tex]r=\sqrt{56.25}[/tex]

[tex]\boxed{r = 7.5\ cm}[/tex]

The radius of the circle is 7.5 cm

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Micah who is not yet 15 years old, is two years older than DeMonte.How old is DeMonte? x = the age of Micahy = the age of DeMonte Read the incomplete summary from the passage.Mrs. Spring Fragrance and her husband areChinese immigrants living in Seattle. Shebefriends her neighbors' daughter, Laura,who is in love with a man Laura's familywould not approve. Mrs. Spring Fragrancerecites two lines of poetry to cheer up Laura.Mr. Spring Fragrance overhears theirconversation.Select two sentences needed to complete anobjective summary of the passage.A It is the Spring Fragrance's fifth weddinganniversary, and Mr. Spring Fragrance iseager to celebrate with his wife.B Mr. Spring Fragrance discusses themeaning of the verse he overhears with ayoung man who lives next door.C Unaware that her husband is listening,Mrs. Spring Fragrance continuesdescribing the enjoyable walk she tookearlier in the morning.D The contrast between his and Mrs. SpringFragrance's opinions of the verseillustrates their differences. Help me, please Thanks Read the sentence.My dog, Stella, loves to go for walks in good weather but refuses to step outside if it is raining. What is the function of the word but in the sentence? ( ): . ( ) , . (+), (-) BBBBBBBVVVVVBBBBBBBBBBVV If f(x)= (2x +5)and g(x) = (2x25x+3), find f(x) g(x) (please help) A. 4x3 31x + 154x3 31x + 15B.4x3 20x2 +19x + 154x3 20x2 +19x + 15C.4x3 19x + 154x3 19x + 15D.4x3 + 20x2 19x +15 A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart? PLZ HELP ASAP WILL GIVE BRAINLIEST describe how sahara and the regions south of the sahara differ rom other other What is the equation to a line with a slope of -3 and a y-intercept of 8? what is the difference between alcoholic and Mercury thermometer based on their function? Hello, can someone please help me as soon as possible? It will me appreciated greatly and I will mark brainliest. A strong claim needs to , need it NOW Are scientist improving the plant or corrupting it que es un dialecto? me ayudan por favor jaja A 300 g bird flying along at 6.0 m/s sees a 10 g insect heading straight toward it with a speed of 30 m/s. the bird opens its mouth wide and enjoys a nice lunch. What is the bird's speed immediately after swallowing? Ten(10) adults and 3 children attend a local concert for $59. Four(4) adults and 3children attend the same concert for $29. How much does it cost for each to attend? this is my art you like :) :3 WHICH OF THE FOLLOWING IS TRUE FOR THIS SITUATION?