One of the legs of a right triangle measures 12 cm and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
PLS HELP

Answers

Answer 1

Answer:

16

Step-by-step explanation:

First use the Pythagorean theorem a^2+b^2=c^2.

12^2+b^2=20^2. Solve the exponents: 144+b^2=400. Then, subtract the 144 from 400. That would be 256. Therefore b^2=256. Then you find the square root of 256=16.

Answer 2

Step-by-step explanation:

using pythogoras theory

hyp^2=opp^2+adj^2

you have been given the hyp and the opp so lets make the unknown x

20^2=12^2+x^2

400 =144+x^2

make x the subject of the formula

400-144=x^2

266=x^2

x=the square root of 266


Related Questions

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answers

D [tex]\bold{16x^{6}y^{10}z²}[/tex]

Answer:

John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.

[tex](4x^{3}y^{5}z)²[/tex]

remenber that square is for all

and power is multiplied

[tex]4²x^{3*2}y^{5*2}*z²[/tex]

[tex]16x^{6}y^{10}z²[/tex]

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]

91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?

Answers

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10

Answers

Answer:

8 sqrt(10)

Step-by-step explanation:

2 sqrt(8) * sqrt(20)

We know sqrt(a) * sqrt(b) = sqrt(ab)

2 sqrt(8) * sqrt(20)

2 sqrt(160)

2 sqrt(16*10)

2 sqrt(16) sqrt(10)

2 *4 sqrt(10)

8 sqrt(10)

Answer:

First, we can write 2√8 as 2 x √8. This will make the next calculations easier.

So the problem becomes 2 x √8 x √20.  

We can group together √8 and √20, to get √160.

And we have: 2√160.

However, this can be simplified further, as 16x10 = 160, and so we obtain the  final answer of 8√10.

C is correct.

Simplify

Help me please

Answers

Answer:

[tex]\frac{-27b^{6}}{c^{18}}[/tex]

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]

In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?

a.14 miles
b.10 miles
c.12 miles
d.23 miles

Answers

Answer: C; 12 miles

Solution:

1) Add the initial Uber cost ($15) and airport toll charge:

$22.95

2) Subtract 22.95 from 45.84

$22.89 to spend on miles

3) Divide 1.84 (cost per mile) from 22.89

≈ 12.44 miles

Round down to 12 miles or option C

Write your answer as a polynomial or a rational fraction in simplest form ​

Answers

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

Answers

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used

Answers

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

Anyone Know The Answer???

Answers

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3

Answers

Answer:

Inverse of f(x) is ³2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

geometry: follow directions below for each for each figure. show steps. circle answers. find the area of each figure!!

HELP ASAP!!!
THANK YOU SO MUCH:)))

Answers

Answer:

56 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (14) (8)

A = 56 cm^2

if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth​ angle?

Answers

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Courtney needs to wrap this gift box, which is 412 inches wide, 6 inches long, and 3 inches tall. What is the surface area of the box?

Answers

There is the answer. To get surface area you have to get all the surfaces first

on the number line, which of the following numbers below can be found on the right of 2.26??
A.2.30
B.-2.25
C.2.25
D.1.26​

Answers

Answer:

2.25

Step-by-step explanation:

The lower number will always be on the right side unless its negative numbers , So the lower number is 2.25 , Why it isn't 1.26 is because its much far from 2.26 and so cannot be counted . Thanks

Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?

Answers

Answer:

the new surface Will be 1/4 pf the old surface

Step-by-step explanation:

because the surface with 7 in Is about 294 and with 3.5 (1/2 of 7) Is 73.5.

so 294:4 Is 73.5

excuse me for my bad English but I'm italian

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
The _____________ may be the average of 2 values in a data set.
A. range
B. interquartile range
C. mode
D. median

Answers

Answer:

as per my nowledge ans wud be b

as A means difference of highest and lowest

C means value appearing frequently

D means middle number or ascending or descending sequence

beainliest plz

Answer:

b

i dont want brainlist

Step-by-step explanation:

2-6=? need help please

Answers

the answer is -4 hope that helps :)
Answer:

The answer is -4

Step-by-step explanation:

2 - 6 = -4

will mark brainliest help!

In parallelogram ABCD, m∠B = 105°.

What is the value of x. (Round your answer to the nearest tenth, if necessary.)

Answers

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

Someone please help me find y if you don’t mind Thankyouu so much

Answers

Answer:

Step-by-step explanation:

Decreasing rate = 12% = 0.12

y = 2400 * (1- 0.12)^x = 2400*(0.88)^x

x = 8 years

[tex]y = 2400 *(0.88)^{8}\\\\= 2400*0.36\\\\= 863[/tex]

Do you think mathematics is used when collecting and reporting your data ? Give your reasons.

Answers

yes because everyone needs mathematics

mathematics are everywhere even if u said u dont like math u still cant get away with math

Single adults: According to a Pew Research Center analysis of census data, in 2012, 20% of American adults ages 25 and older had never been married. Suppose that we select random samples from this population of American adults ages 25 and older. For each sample we then calculate the proportion that had never been married.

For which of the following sample sizes will the sampling distribution be approximately normal?

Wang, W., and Parker, K. (2014). Record Share of Americans Have Never Been Married. Pew Research Center. http://www.pewsocialtrends.org/2014/09/24/record-share-of-americans-have-never-married/

A) 25
B) 50
C) 75

Answers

Answer:

B. 50

Step-by-step explanation:

Central limit theorem is used to calculate the sampling distribution of the given case. The number of adults who are 25 years of age or above and not married is 20% of the samples selected. The standard deviation is 0.06 while the sample size should be 50 to conclude the results.

An item is regularly priced at $95. It is on sale for 85% off the regular price.

Answers

Answer:

14.25

Step-by-step explanation:

95*0.85=80.75

95-80.75=14.25

Answer:

The sale took $14.25 off the original price, so the item is currently $80.75 with the sale.

Find the cross product (7,9, 6)x 44, 1, 5). Is the resulting vector perpendicular to the given vectors?
a. (-57, 43, 33); yes
c. (33. – 59, - 57); no
b. (39, – 59,43), yes
d. (33, - 57, 49); no

Answers

Answer:

Option B, (39, -59, 43)

Answered by GAUTHMATH

HELPPPPPPPP!!!!!!!!!!!!!!!!!

Answers

1)3
2)5/4
3)1
4)3/2
5)1.3
6)4
7)0
8)1
9)7
10)2

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

helpppp: write the rule that describes the composition of transformations

Answers

omg i need help on tht too

Which graph represents the function? f(x)=5√x

Answers

Step-by-step explanation:

Since the x is inside of the square root, the x value must be positive. This makes x {0,infinity). Yet, when square rooting x, you should have both a negative and a positive value for y. So, this should be your graph.

0.4 x 10 =....
1.25 x 10 =
97.465 x10 =​

Answers

Answer:

0.4 × 10 = 4

1.25 × 10 = 12.5

97.465 × 10 = 974.65

You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?

Answers

Answer:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

Let me know if this helps!

Answer:

1/6

Step-by-step explanation:

The probability of flipping heads is 1/2

The probability of rolling 5 or more is 1/3.

So the total probability is 1/2 x 1/3 , which is 1/6.

The difference of a number and 11

Answers

Answer:

x - 11

Step-by-step explanation:

"A number" is the same thing as a variable.

Answer:

x-11

Step-by-step explanation:

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