The diagonals of the figure below represent the support beams for a patio covering.
B
E
30°
10 yards
M
A
What is the length of each support beam?
o 10 yards and 10x/3 yards
O 5 yards and 53 yards
O 10 yards and 5 yards
O 15 yards and 5 yards

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

Answer:

c

Step-by-step explanation:

dont know if i am right

Answer:

you already have x solved for so you plug 5-3y into the x in -6x and you get -6(5-3y)+5y=16

-30+18y+5y=16

-30+23y=16

23y=46

y=2

x=5-3(2)

x=5-6

x=-1

Step-by-step explanation:

Answer:

C $2.25

Step-by-step explanation:

$11.25÷5=$2.25

Answer:

9(x + 3).

Step-by-step explanation:

The GCF is 9 so we divide the 2 terms by 9 to get the other factor.

9x + 27

= 9(x + 3).

Answer:

P=1590

Step-by-step explanation:

9514 1404 393

Answer:

  80

Step-by-step explanation:

If N is the total number of coins, then the number of quarters is ...

  36 = 0.45×N

 36/0.45 = N = 80

You have 80 coins you your collection.

Answer:

48 Feet (ft) 16.000 Yards (yd)

1 ft = 0.333333 yd 1 yd = 3.000000 ft

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

they are parallel so it means none

Answer:

y = 6/7x - 37/7

Step-by-step explanation:

m = 6/7

(5, -1)

y - y1 = m(x - x1)

y + 1 = 6/7(x - 5)

y + 1 = 6/7x - 30/7

y = 6/7x - 37/7

Answer:

Step-by-step explanation:

Start by the point-slope form and given slope = 6/7 and point (5, -1)

(y-(-1)) / (x-5) = 6/7

7(y+1) = 6(x-5)

7y = 6x - 37

y = 6x/7 - 5 2/7

which is the answer in slope-intercept form

Answer:

249.45 + 31.75w

Step-by-step explanation:

Opening deposit = $249.45

Weekly deposit made into account = $31. 75

Amount of money which will be in account w weeks after opening :

Opening deposit + (weekly deposit * number of weeks)

Amount after w weeks :

$249.45 + (31.75 * w)

$249.45 + 31.75w

Answer:

C

Step-by-step explanation:

Answer:

common factor: 5x

5x (7x - 2)

Step-by-step explanation:

first, simplify the polynomial:

5x² + 30x² - 10x = 35x² - 10x

common factor: 5x

5x (7x - 2)

Answer:

900 yards

Step-by-step explanation:

540/3=180

180x5=900

Answer:

(-5,-1)

explanation

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

Answer:

y=2, y=12

Step-by-step explanation:

y = |-2-3|+|-2+2|-|-2+5|

y = 5+0-3

y=2

or you can try

y=12

Answer:

£5787.50

Step-by-step explanation:

mark brainliest

Answer:

[tex]n {}^{2} - 4n - 5n + n { }^{2} \\ = 2n {}^{2} - 9 [/tex]

Hope it helps

Answer:

[tex]\huge\boxed{1) 2n^2-9n}[/tex]

[tex]\huge\boxed{2) 6c\³ + 4c\²}[/tex]

Step-by-step explanation:

Part 1:

= n(n-4)-n(5-n)

By distributive property

= n² - 4n - 5n + n²

= 2n² - 4n - 5n

= 2n² - 9n

Part 2:

= 4c(3c-c²)-2c²(4-5c)

Distributing brackets

= 12c² - 4c³ - 8c² + 10c³

Combining like terms

= 12c² - 8c² - 4c³ + 10c³

= 4c² + 6c³

= 6c³ + 4c²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

y2- y1 / x2 - x1

3 - -2 / 1 - -3

5/4

So, 5/4 or 1.25.

Answer:

y = -4x + 12

Step-by-step explanation:

For a line to be parallel, it needs to have the same slope.

Point intercept form: y - y₁ = m (x - x₁)

Where y and x are just kept as y and x, y₁ and x₁ are the parts of a coordinate, and m = slope.

So, in order for the line to be parallel, it needs to have the same slope as the first equation. The slope of the line (which is the "m" in y = mx + b) is..

4x + y = 7

y = -4x + 7

So, m, or the slope, is -4.

Plug this, along with the coordinate the problem gives you into point-intercept form.

y - y₁ = m (x - x₁)

y - 8 = -4 (x - 1)

Simplify.

y - 8 = -4x + 4

Add 8 to both sides.

y = -4x + 12

Answer:

17x^2

Step-by-step explanation:

8x^2-(-9x^2)= 17x^2

+8x-8x

Answer:

Step-by-step explanation:

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

Alternative working:

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

Answer:

r = 2

Step-by-step explanation:

4(3r + 4) - 6(r + 1) =22

12r + 16 - 6r - 6 = 22

6r = 12

r = 2

If its a diagram pick the answer C

Answer:

C

Step-by-step explanation:

I got it right.

Answer:

see below

Step-by-step explanation:

let x = big number

let you = small number

x + y = 215-------> (1)

x - y = 137 ------>(2)

(1)

x = 215 - y ----->(1)

substitute 1 into 2

215 - y -y = 137

-2 y = 78

y = 39

substitute y = 39 into (1)

x = 215 - (39)

x = 176

thus the numbers are 176 & 39

hope this helps

please mark it brainliest

it took me quite long to do this

Answer:

14x+1

Step-by-step explanation:

you combined like terms

8x and 6x are like terms so 8x+6x=14x

8 and (-7) are like terms so 8+(-7)=1

Answer: 14x+1

Step-by-step explanation:

Answer:

m<7 = 155

Step-by-step explanation:

<6 = <7 due to vertical angle thm