A rectangle has a length of 30 and A diagonal that measures 34. What is the width of the rectangle? (Round your answer to the nearest tenth)

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer:

Each brace uses 2.[tex]\overline 6[/tex] inches of wood

Step-by-step explanation:

The given parameters are;

The length of the board from which he cuts the wood = 8 feet

The length of the wood he cuts from the board = 4 feet

The number of corners on the braces of equal sizes he makes with the wood he has left = 18 corner brace

We have;

The length of the wood he has left = (The length of the board) - (The length of the wood he cuts from the board)

∴ The length of the wood he has left = 8 feet - 4 feet = 4 feet

The length of each brace the man can cuts from the wood he has left = (The length of the wood he has left)/(The number of corner braces he cuts)

∴ The length of each brace = (4 feet)/(18 braces) = (48/18) inches/(braces) = (8/3) inches/brace = 2.[tex]\overline 6[/tex] inches of wood per brace

Answer:

Angle HFG = 24 degrees

Step-by-step explanation:

From the diagram, we have the following;

Angle EFH and angle HFG are complementary (they add up to be 90 degrees)

angle EFH + angle HFG = 90

Angle HFG = 90-66

Angle HFG = 24 degrees

Answer:

Step-by-step explanation:

[tex]\frac{12p^{5}r}{-10pq} = \frac{-6p^{5-1}r}{5q}\\\\=\frac{-6p^{4}r}{5q}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

Answer:

Proportion of chocolate in biscuit tin = 5:7

Step-by-step explanation:

Given:

Number of chocolate in biscuit tin = 10

Number of shortbread biscuits in biscuit tin = 4

Find:

Proportion of chocolate in biscuit tin

Computation:

Proportion of chocolate in biscuit tin = Number of chocolate in biscuit tin / Total product in biscuit tin

Proportion of chocolate in biscuit tin = 10 / [10 + 4]

Proportion of chocolate in biscuit tin = 10 / 14

Proportion of chocolate in biscuit tin = 5:7

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

Answer:

Your answer is 82

Step-by-step explanation:

15+25+13+13+8+8=82

Answer: c

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

if a = 4, then it will be

-4 + 3(-6)

-4 - 18

which will be equal -22

4 + 3 × -6 = -22

Your welcome! :)

Answer:

its the first answer.

hope this helps you a lot.

Chord is a line that joins any two points on the circle

AC,BC

OPTION A is the correct answer

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

-3 (7x + 7) = -38 - 4x

-3(7x)-3(7) = -38 - 4x

-21x - 21 = -38 - 4x

-21x+4x = -38+21

-17x = -17

x = -17/-17

x = 1

Answer:

x = 1.

Step-by-step explanation:

-3(7x + 7) = -38 - 4x

Use distributive property to get:

-21x - 21 = -38 - 4x

Add 4x to both sides to get:

- 17x - 21 = -38

Add 21 to both sides to get:

- 17x = -17

x = 1.

I hope this helps, have a nice day.

Answer:

Step-by-step explanation:

area of semi circle=πr^2/2

=3.14*(2.4)^2/2

=3.14*5.76/2

=18.0864/2

=9.0432 cm^2

Answer:

72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Step-by-step explanation:

Area of whole circle is [tex]\pi r^{2}[/tex]

[tex]\pi[/tex]×2.4² = 144/25[tex]\pi[/tex] cm² or 18.09557368... cm²

Since it is a semi-circle, divide this value by 2 (or multiply by 0.5, either way, your halving it):

144/25[tex]\pi[/tex] ÷ 2 = 72/25 [tex]\pi[/tex] cm² or 9.047786842... cm²

Well there are no choices listed so it's going to be hard to say which; we'll write an expression for all of them and then give a few instances.

A parabola with a minimum forms a CUP, concave-up positive, meaning the coefficient a on x² must be positive, a>0.  

The general form with vertex (p,q) is

y = a(x-p)² + q

So for us, all our parabolas are of the form

y = a(x- -3)² + 9

y = a(x² + 6x + 9) + 9

y = ax² + 6ax + 9(a+1)

That's the general form for a parabola with vertex (-3,9); a>0 assure the parabola has a minimum at the vertex.

Some instances:

a=1 gives

Answer: y = x²+6x+18

a=4 gives

y = 4x² + 24x + 45

Other positive as give other possible answers; without the choices it's impossible to know which one they're seeking.

Answer:

Step-by-step explanation:

Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5

Given:

[tex]f(1)=7[/tex]

[tex]f(n)=3f(n-1)+3[/tex]

To find:

The value of f(3).

Solution:

We have,

[tex]f(n)=3f(n-1)+3[/tex]               ...(i)

Substituting [tex]n=2[/tex] in (i), we get

[tex]f(2)=3f(2-1)+3[/tex]

[tex]f(2)=3f(1)+3[/tex]

Substituting [tex]f(1)=7[/tex] in the above equation, we get

[tex]f(2)=3(7)+3[/tex]

[tex]f(2)=21+3[/tex]

[tex]f(2)=24[/tex]

Now, substituting [tex]n=3[/tex] in (i), we get

[tex]f(3)=3f(3-1)+3[/tex]

[tex]f(3)=3f(2)+3[/tex]

Substituting [tex]f(2)=24[/tex] in the above equation, we get

[tex]f(3)=3(24)+3[/tex]

[tex]f(3)=72+3[/tex]

[tex]f(3)=75[/tex]

Therefore, the value of f(3) is 75.

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

Answer:

841.8

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

Answer:

x = - 11

Step-by-step explanation:

u and v are parallel if you  have equal alternate interior angles .

that is ,

x + 111 = 100

x = 100 - 111

x = - 11

Answer: pretty sure it is 201 tiles

please mark me brainlies. That would be helpful

Answer:

If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees

we subtract 32 from 63 to find OMN

63-32 = 31

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

The biggest angle is 63 degrees, for find OMN we have to do

63 - 32 = 31 degrees

Answer

X=25

Step-by-step explanation:

Answer:

Should be $300

let me know if it's correct:)