Two sides of a right triangle have lengths of 26 units and 10 units. There are two possible lengths for the third side. What is the shortest possible side length

Answer:

See proof below

Step-by-step explanation:

From the given diagram, we can see that <2 and <3 lies on the same straight line, hence the sum of the angles is 180 degrees (supplementary)

<2 + <3 = 180 .... 1

Similarly. <1 and <2 are also supplementary angles

<1 + <2 = 180 .... 2

Subtract 1 from 2;

<3 - < 1 + <2 - <2 = 180 - 180

<3 - <1 +0 = 0

<3 - <1 = 0

Add <1 to both sides

<3 - <1 + <1 = 0+<1

<3 = <1 (Proved!)

This shows that <3 and <1 are equal

We can also conclude that <3 and <1 are vertically opposite angles and vertically opposite angles are equal

Step-by-step explanation:

ac is the answer

.............

Answer:

372.5 miles

Step-by-step explanation:

First, find how many miles she traveled at 65 mph:

65(2.5)

= 162.5

Then, find how many she traveled at 60 mph:

60(3.5)

= 210

Add these together:

162.5 + 210

= 372.5

So, Ella traveled 372.5 miles in total

Answer:    343.6875 US$

Step-by-step explanation:

(US$ 9.75) x (35 1/4) =

Step-by-step explanation:

When -16t² + 32t + 75 < 75, -16t² + 32t < 0.

=> 16t(2 - t) < 0, t < 0 or t > 2.

However t < 0 is rejected as time cannot be a negative value. Hence the solution in interval notation is (2, ∞).

Answer:

r = 28.28

Step-by-step explanation:

you already gave the equation: sin45°= 20/r

you wanna start by multiplying both sides by r. You do this so that your variable can be in the numerator and it will be easier to solve the equation:

r (sin45°) = 20

Now you divide both sides by sin45°, this will give you your final answer. For this, you have to put it in a calculator:

r = 28.28

P.S, good job on already knowing your equation... when i was learning this it took me a while to get eh hang of it :)

Answer:

Non

Minisugar is correct I took the quiz and got it right. Thx minisugar

The number of triangles that can be constructed by the sides 15 cm , 7 cm and 5 cm are none

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the length of the sides of the triangle are 15 cm , 7 cm and 5 cm respectively

And , there are no triangles that can be formed with these measurements

This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, 15 > 7 + 5, which means that a triangle cannot be formed using these three sides. Therefore, the answer is none.

Hence , the triangle is solved

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Answer:

15foot

Step-by-step explanation:

The set up will give a right angled triangle.

The length of the shadow will be the hypotenuse = 16foot

The height of the tree will be the opposite = x

The angle of elevation = 70°

Using the SOH CAH TOA trig identity

Sin theta = opposite/hypotenuse

Sin 70 = x/16

x=16sin70

x = 15.04feet

Hence the height of the tree to the nearest whole foot is 15foot

Answer:

270 words per 3 minutes

Step-by-step explanation:

180/2=90

So she can type 90 words per minute, meaning 3 times that is how many she can type in 3 minutes:

90*3=270

Answer:

A

Step-by-step explanation:

I hope this helped you out

Answer:

1) 3*10^9

2) 6*10^-10

Step-by-step explanation:

To find scientific notation, it's a number between one and ten, times ten to the power of as many zeroes as needed.

Answer:

27/64 I think...maybe

Step-by-step explanation:

Answer:

1 2/7

Step-by-step explanation:

4.5:3 1/2

45/10 ÷ 7/2

45/10 x 2/7

90/70=9/7

=1 2/7

Answer:

four point five is to three point five

Step-by-step explanation:

Since y is directly proportional to x,

we have y = kx, where k is a real constant.

When x = 15, y = 12.

=> (12) = k(15), k = 0.8.

Therefore we have y = 0.8x.

When x = 2, y = 0.8(2) = 1.6.

The answer is y = 1.6 when x = 2.

Answer:

y is directly proportional to x

y=kx, where k is a constant

Now, y=12 when x=15

[tex]12 = k \times 15 \\ k = \frac{12}{15} \\ \boxed{k = 0.8}[/tex]

When x=2,

[tex]y = 0.8 \times 2 \\ \boxed{y = 1.6}[/tex]

Answer:

68.75

Step-by-step explanation:

Measure the length of the parallel sides and add them together. Then multiply this number by the height of the area. Then multiply by ½ or divide by two to find the square footage of the trapezoid.  

13.6 + 5.9= 19.5

19.5 + 8 = 27.5

27.5 x 5 = 137.5

137.5 x 1/2 = 68.75

Answer:

Square

x = 2

y = 1

Step-by-step explanation:

Measures of all ll sides of a square are equal.

Therefore,

5x - 4 = 3x

5x - 3x = 4

2x = 4

x = 4/2

x = 2

5y + 1 = 2y + 4

5y - 2y = 4 - 1

3y = 3

y = 3/3

y = 1

Answer:

7 y and 8x first add the 2 number with y together and then you take away the 1 with the x and then you add both of them together

Answer:

X intercepts are found when y is equal to zero.  

0=2x+4

2x= -4

2x/2= -4/2

x= -2

Hopefully this helps!

Answer:

45

Step-by-step explanation:

.075x600

Answer:

9 R21

Step-by-step explanation:

9514 1404 393

Answer:

  4·log(16) = 16·log(2) ≈ 4.81648

Step-by-step explanation:

The rules of logarithms are ...

  log(a^b) = b·log(a)

Here, we have ...

  log(16^4) = 4·log(16)

However, we recognize that 16 = 2^4, so this becomes ...

  log(16^4) = 4·(log(2^4)) = 4·4·log(2) = 16·log(2)

The base-10 logarithm of 2 is about 0.30103, so this is ...

  log(16^4) ≈ 16·0.30103 = 4.81648

Choose the form of the answer you need:

  log(16^4) = 4·log(16) = 16·log(2) ≈ 4.81648

Answer:

(x,y)=(3,5)

Step-by-step explanation:

Answer:

x = 3

y = 5

Step-by-step explanation:

*tip = chose a variable and get by itself one side and then plug it into the other equation

3x + y = 14

y = -3x + 14

2x - 6(-3x + 14) = -24

2x + 18x - 84 = -24

20x = 60

x = 3

3(3) + y = 14

9 + y = 14

y = 5

Answer:

The answer is c

Step-by-step explanation:

Answer:

C. 16 3/4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

when you add a variable it turns into a square

Wow! What an interesting question, but due to the number limit in math, your answer is 1.70000001e16

Answer:

1.  4x(2x-3)

2.  (2x-3)^2

hope this helps!!:)

Step-by-step explanation:

Answer:

Step--step explanation:

Answer:

Segment pr

Step-by-step explanation: hope this helps

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

Answer:

31°

Step-by-step explanation:

Answer:

13.8196601125

Step-by-step explanation:

i think i just did the math

Answer:

60 days

Step-by-step explanation:

60 is the lowest number divisible by both 12 and 5