A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the
triangle? Explain your reasoning.

Answers

Answer 1

Answer:

A triangle with a hypotenuse of 15 cm may have side lengths of 10.607 cm.

Step-by-step explanation:

15^2=225

225/2=112.5

√112.5=10.607


Related Questions

HELP PLEASE. A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feet long, 10 feet wide. What is the height of the water tank?
Options:
A: 6
B: 5
C: 3
D: 9

Answers

Answer:

The Answer is B 5 is the height

The inverse of y = e^x

Answers

I hope this helps!!!!

The sizes of cans on a shelf are listed below.

18 oz, 8 oz, 16 oz, 20 oz, 20 oz, 16 oz, 12 oz, 8 oz

What is the interquartile range of this list?
2
6
9
12

Answers

Answer:

9

Step-by-step explanation:

The interquartile range of the given list is 11 oz.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

To find the interquartile range (IQR), we first need to find the first quartile (Q1) and the third quartile (Q3) of the data.

To do this, we first need to order the data set from smallest to largest:

8 oz, 8 oz, 12 oz, 16 oz, 16 oz, 18 oz, 20 oz, 20 oz

Next, we find the median of the data set. Since there are 8 data points, the median is the average of the two middle values:

Median = (16 oz + 16 oz)/2 = 16 oz

Now we can find Q1 and Q3. Q1 is the median of the lower half of the data set, and Q3 is the median of the upper half of the data set.

Lower half: 8 oz, 8 oz, 12 oz, 16 oz

Upper half: 16 oz, 18 oz, 20 oz, 20 oz

Q1 = (8 oz + 8 oz)/2 = 8 oz

Q3 = (18 oz + 20 oz)/2 = 19 oz

Finally, we can calculate the IQR as the difference between Q3 and Q1:

IQR = Q3 - Q1 = 19 oz - 8 oz = 11 oz

Therefore,

The interquartile range of the given list is 11 oz.

Learn more about the interquartile range here:

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How do I find surface area by using algebra. (Like a formula in terms of using only one variable)

Answers

Answer:

2*base area+l.s.a

Step-by-step explanation:

2*(l*w)+lw+lh+lw

X= [3 -5] Y= [6 7]
[-4 2]. [-4 -3] calculate X+Y

Answers

Answer:  [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

Step-by-step explanation:

Given:  [tex]X=\begin{pmatrix}3&-5\\ -4&2\end{pmatrix},\ \ Y=\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

To calculate: [tex]X+Y[/tex]

Consider [tex]X+Y= \begin{pmatrix}3&-5\\ -4&2\end{pmatrix}+\begin{pmatrix}6&7\\ -4&-3\end{pmatrix}[/tex]

[tex]=\begin{pmatrix}3+6&\left(-5\right)+7\\ \left(-4\right)+\left(-4\right)&2+\left(-3\right)\end{pmatrix}\\\\=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex][[tex]\mathrm{Add\:the\:corresponding\: elements\: and\: simplify}[/tex]]

Hence, [tex]X+Y=\begin{pmatrix}9&2\\ -8&-1\end{pmatrix}[/tex]

i need help on this question !!no links please!!!

Answers

Answer:

17

Step-by-step explanation:

to find the median you arrange from least to greatest

12, 12, 14, 17, 18, 20, 22,

then you find the number in the middle which in this case is 17

Lines m and n are parallel.
what is m<1
pls help :)

Answers

Answer:  55

Reason: Corresponding Angles Theorem

The 55 degree angle up top, and angle 1 are the same measure, because they are corresponding angles. This only works when we have parallel lines like this.

Some for all values of x by factoring

Answers

Answer:

{-1, 10}

Step-by-step explanation:

Next time please share the entire set of instrutions.

x^2 - 9x - 15 = -5 should be rewritten in standard quadratic form:

x^2 - 9x - 10 = 0 = (x - 10)(x + 1) = 0.

Setting each factor equal to zero and then solving for x yields {-1, 10}

Answer:

{-1,10}

Step-by-step explanation:

[tex]x^2-9x-15=-5[/tex]   given

[tex]x^2-9x-10=0[/tex]   addition property of equality

[tex]x^2+(x-10x)-10=x^2+x-10x-10=0[/tex]   x-10x = -9x

[tex]x(x+1)-10(x+1)=0[/tex]   distributive property ( x( y + z ) = xy + xz

[tex](x-10)(x+1)=0[/tex]   distributive property (backwards)

[tex]x-10=0;x=10;x+1=0;x=-1[/tex]   at least one factor of 0 has to be 0

{-1,10}

Jada has $7 in the bank and she spends $1 every 3
weeks.
write an equation for this situation

Answers

Answer:

7 - 1x

Explanation

x is the variable I used for every three weeks.

Q27
x: y = 1:3
Circle the correct equation.
y = x-2
y = 3x
y = x+2
(Total 1 mark)
What is the correct equation ?

Answers

Answer:

I think its x-2

Step-by-step explanation:

Sorry if its wrong! :)

Please help mhanifa this is due soon

Answers

Answer:

51°+71°+<C= 180° Sum of interior angle of triangle

C + 122° = 180°

C = 180°- 122°

C = 58°

Answer:

=A=

Find m∠C

m∠C = 180° - (51° + 71°) = 58°

Find the missing sides using the law of sines:

9.8 / sin 71° = AB / sin 58° = AC / sin 51°AB = 9.8 sin 58° / sin 71° =  8.8 cmAC = 9.8 sin 51° / sin 71° = 8.1 cm

=B=

Find m∠L

m∠L = 180° - (42° + 84°) = 54°

Find the missing sides using the law of sines:

50 / sin 84° = KL / sin 42° = JK / sin 54°KL = 50 sin 42 °/ sin 84° =  33.6 cmJK = 50 sin 54° / sin 84° = 40.7 cm

=C=

Find m∠R using the law of sines:

17.5 / sin 98° = 15 / sin ∠Rsin ∠R = 15 sin 98° / 17.5sin ∠R = 0.85m∠R = arcsin (0.85) = 58.2°

Find the missing angle:

m∠S = 180° - (98° + 58.2°) = 23.8°

Find the length of QR, use the law of sines:

17.5 / sin 98° = QR / sin 23.8°QR = 17.5 sin 23.8° /sin 98° = 7.1 m

`h(t)=-5t^{2}+10t+3`

Answers

Solve the equation for
t
t
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.
t
=
10

h
+

h
2

20
h
+
160
10
t
=
10
-
h
+
h
2
-
20
h
+
160
10
t
=
10

h


h
2

20
h
+
160
10

A member of the sales team earns 30% commission on any sales. A salesperson sold $450 worth of merchandise.

How much was the salesperson's commission on the sale?

Answers

Answer:

The answer to this is B, $135.

Step-by-step explanation:

I took the test.

Answer:

$135 is the correct answer, I took the test and got it right

Step-by-step explanation:

Which line is perpendicular to the line Y = 2x +3?

Answers

Answer:

D.

Mark me brainliest :))

Jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters. What is the length of Jason’s tool shed?

Answers

Answer:

12 meters

Step-by-step explanation:

We can solve this problem simply by dividing area by the known width value (because length x width = area):

96/8 = 12

The lengths of the legs of a right triangle are 6 cm and 8 cm What is the length of the hypotenuse?

Answers

Answer:

The hypotenuse is 10 cm long.

Step-by-step explanation:

We can find the hypotenuse by using the following formula where "c" is the length of the hypotenuse and "a" and "b" are the lengths of the legs.

[tex]c = \sqrt{a^{2} + b^{2} }[/tex]

Now we just substitute the values and get...

[tex]c = \sqrt{a^{2} + b^{2} }\\c = \sqrt{6^{2} + 8^{2} } \\c = \sqrt{36 + 64} \\c = \sqrt{100} \\c = 10[/tex]

Therefore the hypotenuse is 10 cm long.

Please help me answer this question it’s due today HURRY!!!

Answers

The answer is D because it has the smallest range of data

help!!
Find the inequality represented by the graph

Answers

1-Step-by-step explanation:

Find the value of x

I would like all 3 answers and how to get them (show work).

Thanks!

Answers

Answer:

4) 4

5) 6.5

6) 14

Step-by-step explanation:

Question 4 equation: [tex](\frac{12*5}{2} * 2) + (\frac{5x}{2} *2) = 80[/tex] ⇒ [tex]60 + 5x = 80[/tex] ⇒ [tex]5x = 20[/tex] ⇒ [tex]x=4[/tex].

Question 5 equation: [tex]16x=104[/tex] ⇒ [tex]x=6.5[/tex].

Question 6 equation: [tex]\frac{10x}{2} = 70[/tex] ⇒ [tex]5x=70[/tex] ⇒ [tex]x=14[/tex].

solve x2 + 12 = -11 by completing the square.which is the solution set of the equation

Answers

Answer:

the answer of this question is -1

Find the equation of the line that is parallel to y=-7x+2 and contains the point (-5,32)

Answers

Y=-7x+c
Parallel means that the x value is the same in both equations so u keep -7x.
To find c, use the coordinates (-5,32) and substitute into the equation.
32=-7(-5)+c
32=35+c
c=32-35
c=-3
So the equation is
Y=-7x-3

Find the equation that passes through the point (3,-2) and is perpendicular to y=-1/2x+4

Answers

Answer:

y = 2x - 8

Step-by-step explanation:

y = 2x + b

-2 = 2(3) + b

-2 = 6 + b

-8 = b

Please help me with my work

Answers

The cones an acute cone.

Max surveyed 100 of the 200 7th graders that attend his school to help determine new lunch choices in the lunch room. He has come up with these findings.

Which statement is supported by the information in his graphs?

A
It can be inferred that on the days that students are offered pizza and salad, 70% of students are pleased with the offerings.
B
It can be inferred that about the same number of students get a salad as the number of students that like cheeseburgers and tacos combined.
C
It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.
D
It can be inferred that if the lunchroom offered cheeseburgers and tacos on the same day, every student would get a tray that day.

Answers

Answer:

i think it's c id

Step-by-step explanation:

The statement that is supported by the information in his graphs is C. It can be inferred that pizza and chicken nuggets should be the only meals offered in the cafeteria to please the most students each day.

What is a Supporting Detail?

This refers to the use of evidence to support a claim based on available data to show its validity.

Hence, we can see that from the information in the graphs, we can see that 50% of students prefer using trays and they represent half of the students from the students that prefer trays, they prefer to eat pizza and chicken nuggets and option C is the correct answer.

Read more about supporting details here:

https://brainly.com/question/884525

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Answers

Answer: 46738294738290748392074893021748930217849032784932017483920174839021784930271849032718904372819047389210748390217489302174893021784930217849302174839021784937894073289147384738473847387483748374384750

Step-by-step explanation:

Isaac saw a video game on sale for a 25% discount. The amount of discount is $4. What is the regular price of the video game

Answers

Answer:

The original price was $16

Step-by-step explanation:

$4= 25% of What price?

4= .25 x W

Divide both sides by .25

This leaves the equation as 16=W

The graph of a linear function is shown
below. What is the domain of the
function?

Answers

Answer:

{ x | -3 <= x < +1 }

Step-by-step explanation:

We note that the graph occupies from x=-3 to x=+1, while -3 is a value included (endpoint is solid), and +1 is excluded (endpoint hollow).

Thus the domain is { x | -3 <= x < +1 }

ILL GIVE BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

using formula

=

=3[tex]\sqrt{3}[/tex]/2*6^2

=108[tex]\sqrt{3}[/tex]/2

=54[tex]\sqrt{3}[/tex]

=93.5

4. Which graph represents the solution to
-2<3x+1 ?

Answers

Hey there!

-2<3x+1

= 3x + 1 < -2

SUBTRACT 1 to BOTH SIDES

3x + 1 - 1 < -2 + 1

CANCEL out: 1 - 1 because that gives you 0

KEEP: -2 + 1 because that helps you solve for x

-2 + 1 = -3

New EQUATION: 3x > -3

DIVIDE 3 to BOTH SIDES

3x/3 > -3/3

CANCEL out: 3/3 because that gives you 1

KEE3 -3/3 because that helps us compare for x

-3/3 = -1

Answer to the equation: x > -1

OVERALL Answer: x > -1; It is an OPENED circle shaded to the right starting at -1 (Option A.)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Calculator
Alyssa wants to install new floors in her bathroom around the
shower. The inner light blue rectangle represents the shower and
the outer dark blue rectangle represents the floor around the
shower.
7
metres
4 metres
What is the area of the floor around the shower, or the dark blue
rectangle around the light blue rectangle?
3 metros
shower
Select the correct number from the drop down menu to show the
area of the floor around the shower.
9 metres
A = Choose
mo
Choose...
1
2
3
4
5
6
7
8
9
10
Next
12
51
63
75

Answers

Answer:

10

Step-by-step explanation:

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