The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the other two sides is 28cm. Find the lengths of those two sides.

Answer:

Step-by-step explanation:

Let the 2 numbers be x and y

From the problem we have that

x * y = 600 and x + y = 59

From x + y = 59 -> x = 59 - y

Plug x = 59 - y to x * y = 600 we have

(59 - y) * y = 600

-> 59y - y^2 = 600

-> -y^2 + 59y - 600 = 0

-> y = [tex](59 - \sqrt{1081})/2[/tex] or [tex](59 + \sqrt{1081})/2[/tex]

Then we could plug the answers in and find x because x = 59 - y

Answer:

5 sqrt(2) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 45 = x / 10

10 sin 45 = x

10 ( sqrt(2)/2) =x

5 sqrt(2) =x

Answer:

Step-by-step explanation:

The line is parallel to y axis so

slope : undefined

y intercept : the line doesn’t intercept y axis

Equation : x = -6

Answer:

Step-by-step explanation:

In a parallelogram,

i) opposite sides are equal and parallel.

So, DC = AB

DC = 28 units

ii) Diagonals bisect each other.

AC bisects BD

DE =  EB = [tex]\frac{1}{2}[/tex] BD

DE = [tex]\frac{1}{2}*91[/tex] = 45.5

DE = 45.5 units

Answer:

0.1%

Step-by-step explanation:

Given that 240 g of 2.5 kg

We have to express this in percentage

But we know that 1 kg = 1000 g, So first convert 2.5 kg to g

2.5 kg = 2.5 x 1000 g = 2500 g

The formula of "a" % of "b" is given as:

[tex]percentage= \frac{a}{b}[/tex] × 100

Hence, 240 g as a percentage of 2500 g is given as:

[tex]= \frac{250}{2500}[/tex] × [tex]100[/tex]

= [tex]\frac{1}{10}[/tex] = 0.1

Thus, the answer is 0.1 %

Answer:

Remember that tan=y/x from your notes from module 4.

Step-by-step explanation:

Refer to the unit circle to see the relationship between x and y at that angle, it is -1. Now you can set up your equation of tan=1/x and solve for x.

For all the problems in this section you can set up an equation where tan=y/x, sin = y/h, and cos=x/h. Then using your equation you can solve for whatever number is missing.

Answer:

-1/1

Step-by-step explanation:

Answer:

[tex]1 : 4\frac{1}{2} \\ = 1 : \frac{9}{2} \\ = \frac{1}{ \frac{9}{2} } \\ = \frac{2}{9} [/tex]

3.

√250 = √(25 * 10) = √(5^2 * 10) = √(5^2) * √10

… = 5 √10

=>   a = 5

4.

√(-300) = √(-1 * 3 * 100) = √(-1 * 3 * 10^2) = √(-1) * √3 * √(10^2) = i * √3 * 10

… = 10i √3

=>   -a = 10 and b = 3   =>   a = -10 and b = 3

=>   a - b = -10 - 3 = -13

Answer:

C

Step-by-step explanation:

All others can be proved false.

Answer:

French philosopher and mathematician; developed dualistic theory of mind and matter; introduced the use of coordinates to locate a point in two or three dimensions (1596-1650)

Answer: Shape 3 and Shape 2

Hope this helps...

Have a great day.

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

problem 17=A

problem 4= C

problem 9= B

problem 11= C

problem 14= D

Answer:

53,901

Step-by-step explanation:

The value given is: 245,093.

5 is in the thousands place. Multiply the thousands place with ten:

1,000 x 10 = 10,000

This means that the number with 5 in the ten thousands place will be your answer.

53,901 is your answer.

~

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{32.689\times 10^3}[/tex]

[tex]\mathsf{10^3}[/tex]

[tex]\mathsf{= 10\times10 \times10}[/tex]

[tex]\mathsf{= 100\times10}[/tex]

[tex]\boxed{\mathsf{= \bf 1,000}}[/tex]

[tex]\mathsf{32.689 \times1,000}[/tex]

[tex]\boxed{\mathsf{= \bf 32, 689}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 32, 689}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

Solve by substitution:

Answer:

the answer is letter A. 6.5

Step-by-step explanation:

it's correct if I'm rwong ( ╹▽╹ )

Answer:

24

Step-by-step explanation:

4 * 3 * 2 * 1 = 24

Answer: A, which is y = 1/2

Step-by-step explanation: To find the value of y, you would need to divide both of the sides by 8. This makes it so that 8y turns into just y. After you do this, you would find an answer of y = 1/2. Hope this was helpful! :)

Answer:

y = 1/2

Step-by-step explanation:

8y = 4

Divide each side by 8

8y/8 = 4/8

y = 1/2

Answer:

the diameter of the circle is ⅓ of the height

so the radius is 1/6 of the height

the area of the flag is 1*1.5 of the height

(we need to consider this)

pi*(1/6)² / 1.5

= 0.058177

so the percentage is

5.82 %

So, the required percentage is  [tex]5.81\%[/tex].

To understand the calculations, check below.

The area of the disk is defined as the ‘ measure of surface ‘ surrounded by the round edge (circumference) of the disk. The area of a disk can be derived by breaking it into a number of identical parts of disk as units — calculating their areas and summing them up till the disk is reformed.

That is [tex]Area=\pi \frac{d^2}{4}[/tex]

Let the width and the length of the flag be [tex]2x[/tex] and [tex]3x[/tex] respectively.

So, the diameter of the gold-colored disk will be [tex]\frac{2x}{3}[/tex]

Now, by using the above formula the area of the gold disk will be,

[tex]\pi \frac{d^2}{4}=\pi\times\frac{4x^2}{4\times 9} \\ =\frac{\pi x^2}{9}[/tex]

And the area of the flag will be,

[tex]Area=l\times b\\=2x\times 3x\\=6x ^2[/tex]

So, the required percentage is,

[tex]\frac{(\frac{\pi x^2}{9} )}{6x^2} \times 100=\frac{\pi}{54}\times 100\\ =5.81\%[/tex]

Learn more about the topic Area of the disk:

https://brainly.com/question/21881629

Answer: 21380.573997076

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

log 4 (15)

We need to change the base from 4 to 2

log b (a) = log x(a) / log x(b)  where x is the base that we need

log4 (15) = log 2 (15) / log 2 (4)

Answer:

D is the answer to your question

Answer:

7

Step-by-step explanation:

It’s a right angle, so you can add the two expressions togther to get 90, then isolate x.

(8r-6)+(5r+5)=90

13r-1=90 (combine like terms)

13r-1+1=90+1 (add 1, addition property of equality)

13r=91

13r/13=91/13

r=7

Answer:

0.1739 = 17.39% probability of a successful call.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The odds of making a sale on a single call are 4 to 19.

This means that in 4 + 19 = 23 calls, 4 are successful.

What is the probability of a successful call?

[tex]p = \frac{4}{23} = 0.1739[/tex]

0.1739 = 17.39% probability of a successful call.

Answer: -1

Step-by-step explanation:

Just took the test

,and the equation is y=-1x+5, so the change of x is -1

Answer:

The answer is -1

Step-by-step explanation:

Answer:

The perimeter of the garden would be 93 feet, meaning you would need 93 feet of fencing.

Step-by-step explanation:

To find the perimeter of a shape you first need to know how long each side of the shape is and then add those sides together, once you have that number, you have your perimeter. I hope this helps.

Answer:

a = 153.5 yd²

Step-by-step explanation:

horizontally divide the figure into a tringle and a trapezoid

triangle

a = (1/2)bh

a = (1/2)(19)(7)

a  = 66.5

trapezoid

a = (b₁ + b₂)/2 * h

a = (19 + 10)/2 * (13 - 7)

a = 87

Combined

a = 66.5 + 87

a = 153.5

Answer:

watts

Step-by-step explanation:

Answers: