What is the sum????????

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

Learn more about Pythagoras's theorem here:

https://brainly.com/question/8171420

Answer:

i can't see the photo

Step-by-step explanation:

pleas send it again

Answer:

Step-by-step explanation:

f(x) = 3-x/5

Explanation:

The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation

y=3x -5

turns into

x = 3y+5

Then solve the equation for y

x=3 y- 5

x+5 = 3y

the divide all by three

1/3x + 5/3 =y

f ( x ) − 1 = 3/1 x + 5/3

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation:

Answer: i think its D

Step-by-step explanation:

Answer:

7/21=3/9

Step-by-step explanation:

7/21=3/9=1/3 - Ratios are basically the same as fractions

Answer:

[tex] \\ 7 \ratio21 = 3 \ratio9[/tex]

[tex] \\ \frac{7}{21} = \frac{3}{9} [/tex]

Answer:

19.17 ounces

Step-by-step explanation:

If she uses 6.39 ounces for 1 recipe and she wants to "triple" the recipe we then know that triple also means 3 times.

Due to that fact we now know what our equation is:

6.39 x 3  which equals 19.17

I hope this helps have great day :)

Answer: 19.17

Step-by-step explanation:  6.39 x 3 = 19.17

Answer:

slope-intercept form. y = ＿ + ＿  阿ㄐ高

Step-by-step explanation:

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Answer: Solve for x

x =  -7

Answer:

=  − 7

Step-by-step explanation:

5 - 3x -1 = 25

4 - 3x = 25

-3x + 4 = 25

-3x + 4 - 4 = 25-4

Answer: 18

Step-by-step explanation:

Answer:

make y the subject of the formula

x=13(t-4y)

Step-by-step explanation:

y=mx+c  

⟹(y)−c=(mx+c)−c  

⟹y−c=mx+(+c−c)  

⟹y−c=mx+0  

⟹y−c=mx  

⟹mx=y−c  

⟹mx×(1m)=(y−c)×(1m)  

⟹x×(mm)=1m(y−c)  

⟹x×1=1m(y−c)  

⟹x=1m(y−c)

The subject of the formula for y is y = 13t / x(1 + 52/x).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given the equation as:

x = 13(t - 4y) / y

We have to make y the subject of the formula

x = 13(t - 4y) / y

Cross multiplication to get,

y = 13(t - 4y) / x

y = (13t - 52y) / x

y = 13t / x - 52y / x

Now group the y terms together and we get

y + 52y / x = 13t / x

The factor out the y to get

y(1 + 52/x) = 13t / x

y = 13t / x(1 + 52/x)

Therefore, the subject of the formula for y is y = 13t / x(1 + 52/x).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

Answer:

I'm pretty sure it is LINEAR.

I may be wrong

Step-by-step explanation:

BRAINLIEST?

Answer:

linear

Step-by-step explanation:

the inputs are not the same.

im not exactly sure, but im taking this lesson and thats what i learned :)

Answer: 2 x 10^2 in scientific notation The answer would be 200

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

y=-5x-12

y=-0.5x-5

y=-0.5x+0.5

y=-4.5x+3

y=-2x+7

y=2.5x+10

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the ratio shows that for every two songs beth's mom has, beth has one more.

*3 is larger than 2 by 1

meaning, if her mom has 6 songs, then she will have 7

if Beth has 12 songs, her mom would have one less, 11

Answer:

hope this helps

Step-by-step explanation:

[tex]a^{6\\}[/tex]

to do this you factor the numerator and denominator and then you cancel the common factors

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

Answer: This is used by

Step-by-step explanation:

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57

Hope this helps!

Answer:

57 seconds

Step-by-step explanation:

Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

Answer:

sorry hindi amo marunong ng math

The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × height × width.

The volume of the cube = side³.

Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,

Volume of the box = (L - 2h)² × h

(12 - 2h)² × h = 128

4h(6 - h)² = 128

h(36 + h² - 12h) = 32

h³ - 12h² + 36h - 32 = 0

(h - 2)(h² - 10h + 16) = 0

(h - 2)(h² - 8h - 2h + 16) = 0

(h - 2)(h(h - 8) - 2(h - 8)) = 0

(h - 2)(h - 2)(h - 8) = 0

h = 2,8

Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".

To learn more about volume,

https://brainly.com/question/1578538

#SPJ2

Answer:

Step-by-step explanation: she can read 15  pages an hour but she read for 2 hours so she read 30 pages