The bottom of a ladder is 1.5 m from the base of a vertical wall. The gradient
of the ladder is 3. How far up does the top of the ladder touch the wall?

Answer:

a. 21,250

b. 59,826

Step-by-step explanation:

hope this helps :)

Answer:

acute hope it helps

Step-by-step explanation:

mark as brainiest

Construction of 30° acute angle

Answer:

1/5

Step-by-step explanation:

To find how much of a meter she used per bow, divide 4 by 20, since she used 4 meters for 20 bows:

4/20

= 0.2 or 1/5

So, she used 1/5 of a meter for each bow

Answer:

hm 2

Step-by-step explanation:

Answer:

the answer is 1 I'm pretty sure lol

Answer:

If you are estimating....

Step-by-step explanation:

if the small foot is 10in then the bigger foot must be around 12-13inchs considering on how big it is to the little foot, so about 13 inches

Answer:

B

Step-by-step explanation:

Complementary means that when added up two angles will equal 90° so 90-15=75 means that B is the correct answer.

Answer:

Not C

Step-by-step explanation:

Did on edge

Answer: it’s B) 63

Step-by-step explanation:

On edge 2021

Answer:

Loading...

Step-by-step explanation:

Answer:

IJ = 15

Step-by-step explanation:

Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.

Thus IJ = JH = 15

Answer:

6.3e-8

Step-by-step explanation:

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Step 4: Substitute y back into an original equation to solve for x

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Hope this helped! :)

Answer:

[tex]\displaystyle x-y=\frac{24}{25}[/tex]

Step-by-step explanation:

We are given the system:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ 5x-3y=4& \quad \end{array} \right.[/tex]

And asked to find the value of x - y if (x, y) is a solution to the above system.

Thus, let's solve the system. We can use eliminiation

We can see that the coefficients of x share a LCM.

Multiplying the second equation by negative two yields:

[tex]\left\{ \begin{array}{ll} 10x-16y=12 & \quad \\ -10x+6y=-8 & \quad \end{array} \right.[/tex]

Adding the two equations yields:

[tex](10x-10x)+(-16y+6y)=(12+(-8))[/tex]

Simplify:

[tex]-10y=4[/tex]

Solve for y:

[tex]\displaystyle y = \frac{4}{(-10)} = -\frac{2}{5}[/tex]

To find x, substitute y for either equation and evaluate. The second equation states that:

[tex]5x-3y=4[/tex]

Substitute:

[tex]\displaystyle 5x-3\left(-\frac{2}{5}\right)=4[/tex]

Multiply:

[tex]\displaystyle 5x+\frac{6}{5}=4[/tex]

And solve for x:

[tex]\displaystyle \begin{aligned} 5x+\frac{6}{5} &= 4 \\ \\ 5x &= \frac{14}{5} \\ \\ x &= \frac{14}{25}\end{aligned}[/tex]

Hence, our solution to the system is:

[tex]\displaystyle \left(\frac{14}{25},- \frac{2}{5}\right)[/tex]

We want to find the value of:

[tex]x-y[/tex]

Substitute:

[tex]\displaystyle = \left(\frac{14}{25}\right) - \left(-\frac{2}{5}\right)[/tex]

Evaluate. Hence:

[tex]\displaystyle x - y = \frac{24}{25}[/tex]

And we're done!

Answer:

x=5/2 and y=3

Step-by-step explanation:

since AC is a perpendicular bisector, BC=CD

[tex]6x-6=3y[/tex] so [tex]6x=3y+6[/tex]

if AC = a

using pythagorean theorem:

[tex](6x-6)^2 + a^2 = (6x+1)^2[/tex]

[tex](3y)^2 + a^2 = (5y+1)^2[/tex]

simplifies to:

[tex]36x^2-72x+36+a^2=36x^2+12x+1[/tex]

[tex]9y^2+a^2=25y^2+10y+1[/tex]

further simplifies to:

[tex]84x-35=a^2[/tex]

[tex]16y^2+10y+1=(8y+1)(2y+1)=a^2[/tex]

so we now have

[tex]84x-35=(8y+1)(2y+1)[/tex]

plugging the first equation in we get

[tex]42y+84-35=(8y+1)(2y+1)=16y^2+10y+1[/tex]

[tex]42y+49=16y^2+10y+1[/tex]

[tex]16y^2-32y-48=0[/tex]

[tex]y^2-2y-3=0[/tex]

[tex](y-3)(y+1)=0[/tex] so [tex]y=-1, y=3[/tex]

y=-1 is impossible, so y=3

therefore x=15/6=5/2

9(x + 2)

Hi !

6(x+4)+3(x−2) =

= 6x + 24 + 3x - 6

= 6x + 3x + 24 - 6

= 9x + 18

= 9(x + 2)

Good luck !

9514 1404 393

Answer:

  b.  11 years

Step-by-step explanation:

Since we're interested in the time going forward, we can write the expnential function for Rosa's balance as ...

  y = 4500(4500/2000)^(x/6)

where x is the number of years from now, and y is the balance at that time.

  20,000 = 4,500(2.25^(x/6))

Dividing by 4500, we get ...

  40/9 = 2.25^(x/6)

  log(40/9) = (x/6)log(2.25) . . . . take logs

  x = 6·log(40/9)/log(2.25) ≈ 11.037 . . . . divide by the coefficient of x

It will take 11 more years for Rosa to have $20,000 in the bank.

_____

Comment on the exponential function

You can generally write an exponential function for a question of this sort pretty easily. The form of it is ...

  f(t) = (initial value)×(growth factor)^(t/(growth period))

Here, we're given a growth factor of 4500/2000 = 2.25 corresponding to a period of 6 years. This tells us t is in years, and the exponential term will be ...

  2.25^(t/6)

The "initial value" we choose corresponds to t=0. Since we want 'years from now', the "initial value" will be the value in the account now, 4500.

Answer:

B 11 years

Step-by-step explanation:

Answer: 72 minutes

Step-by-step explanation: 84/7=12. 12x6=72.

Answer:

The vertex is

✔ (2, 8)

The directrix is y =

✔ 8.125

The focus is

✔ (2, 7.875)

The focal width is

✔ 0.5

Step-by-step explanation:

got it correct on the assignment on edge 2020

Answer:

(2, 8)

8.125

(2, 7.875)

0.5

Step-by-step explanation:

correct on edge

Answer:

3 pages per minute

Step-by-step explanation:

Half an hour is eqquivalent to 30 minutes, so we do 90 (pages) / 30 (minutes) = 3--> Wich means that Henry can read 3 pages per minute.

Answer:

Henry reads 3 per minute

Step-by-step explanation:

There is 30 mins in half an hour

so divide 90/30

and you get 3

Answer:

it is B and D that is the answer

Answer:

RS = 17

Step-by-step explanation:

(23-2x) + (9x-5) = 39

23-2x+9x-5 = 39

7x + 18 = 39

7x = 21

x = 3

Given: RS = 23-2x

23 - 2(3)

23 - 6 = 17

Answer:

f(-6) = 22

Step-by-step explanation:

[tex]f(x)=-3x+4\\\\f(-6)=-3(-6)+4\\\\f(-6)=18+4\\\\\boxed{f(-6)=22}[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

Total amount earned by Tamiko = $234.80+$64+$20

Total amount earned by Tamiko = $318.80

If she spend One-fourth of her income on car insurance,amount she budgeted for car insurance = 1/4×$318.80 = $79.7

Let assume one third of her income is budgeted on gasoline, the amount budgeted for gasoline = 1/3× $318.80 = $106.27

Also let assume one-fifth is budgeted on savings, amount spent on savings = 1/5×$318.80 = $63.76

If the rest is on spending, fraction if the rest will be 1-(1/4+1/3+1/5)

= 1-(15+20+12)/60

= 1-47/60

= 13/60

This means that she can spend 13/60 of her total budget according to her spending.

Note that the fraction budgeted on savings and gasoline are assumed. You can use any other fraction and use the same method in the calculation to get the required fraction she spent.

Answer:

1/13x + 35/13

Step-by-step explanation:

Answer:

205/3 meters or 68.33 meters

Step-by-step explanation:

Perimeter = 2W + 2L

L = 2W - 5

230 = 2W + 2(2W - 5)

230 = 2W + 4W - 10

230 = 6W - 10

220 = 6W

W = 110/3 or 36.67 m

Add the Width into the formula for L to find the length

L = 2(110/3) - 5

L = 205/3 m or 68.33 m

Answer:

Really?!?! Welp I'm here for it.

Step-by-step explanation:

Answer:

1/2 pound

1 ounce

17,000 mcg

10grams

0.4

12 mg

Answer:

B. 13 Hours

Step-by-step explanation:

Answer:

Go to

Step-by-step explanation:

Ull find the answer there

Answer:

32 m^2

Step-by-step explanation:

First find the real dimensions of the dining hall

The scale factor is 4m /3 cm

6 cm * 4m / 3cm = 8 m

3 cm *  4m / 3cm = 4 m

The area of the dining hall is

A = l*w

A = 8m * 4m = 32 m^2

2(b + 6) - 7 <= -3b - 30

Let's distribute the 2.

2b + 12 - 7 <= -3b - 30

Combine like terms.

2b + 5 <= -3b - 30

Subtract 2b from both sides and add 30 to both sides.

35 <= -5b

Divide both sides by -5.

-7 >= b

We had to flip the sign because we divided by a negative number.

This means that b <= -7. D is correct.

AAnswer:

Step-by-step explanation:

J