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Answer:

4.5m

Step-by-step explanation:

The set up is a right angles triangle

Height of the shed = opposite side = 6cm

Distance of the ladder from the shed = adjacent = 4.5m

Lenght of the ladder = Hypotenuse = x

Using pythegoras theorem to find the length of the ladder

hyp² = opp²+adj²

hyp² = 0.06² + 4.5²

hyp²= 0.0036+20.25

hyp² = 20.2536

hyp = √20.2536

hyp = 4.50m

Hence the length of the ladder is 4.5m

Answer:

-2

Step-by-step explanation:

Given equation is x²+px+1=0

comparing the equation with ax²+bx+c=0

then a=1,b=p,c=1

let the roots one root of the equation be A then

by question, another root is A².

we know

A(ALPHA)+A²(beta)=-b/a

A+A²=-p/1

A+A²=-p......1

again

A*A²=c/a

A³=1/1

A³=1

A=1

Now,

substituting A=1 in equation 1

1+1²=-p

2=-p

Therefore p=-2.

Answer:

he saves $2.85

Step-by-step explanation:

Answer:

96*48=4608

Step-by-step explanation:

4*24=96

6*8=48

am I right to think that this is multiplication

if not then use the 2 numbers and their sign whatever it may be.

Answer:

see explanation

Step-by-step explanation:

1. c

2.b

Answer:

We conclude that the midpoint of the segment is:

Hence, option D is correct.

Step-by-step explanation:

Given the points

Finding the midpoint of the segment using the formula

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-1\right)[/tex]

so

[tex]=\left(\frac{-6-3}{2},\:\frac{-1+4}{2}\right)[/tex]

[tex]=\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]

Therefore, we conclude that the midpoint of the segment is:

Hence, option D is correct.

Answer:

35 cents

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Assuming that is 3 1/3 C per batch.

(3 1/3)(6)

(10/3)(6)  

(10)(2)

20

Answer:

b

Step-by-step explanation:

i dont kno lol

Answer:

They ran for 0.923 hrs and biked for 0.46 hrs

Step-by-step explanation:

First thing to do is write down the inequality of the question

5.2x + 20.8y = 14.4

10.4x + 18.2y = 18

Multiplying the whole equation by 10, so as to eliminate the decimal places, we have.

52x + 208y = 144

104x + 182y = 180

Multiplying the first equation by 2, we have

104x + 416y = 288, next we solve it simultaneously with the second equation

104x + 416y = 288

104x + 182y = 180

Subtract 2 from 1, and we have..

416y - 182y = 288 - 180

234y = 108

y = 0.46

Now, we go back and substitute for y in the earlier equation, so that

52x + 208(0.46) = 144

52x + 95.68 = 144

52x = 144 - 95.68

52x = 48.32

x = 48.32/52

x = 0.929

Answer:

The sale price is 57.12

Step-by-step explanation:

First find the markdown

markdown = original price * markdown percent

markdown = 84 *.32

markdown =26.88

Subtract the markdown from the original price

84- 26.88 =57.12

The sale price is 57.12

Answer: 25% of 40 or 0.25 of 40 is 10.

Step-by-step explanation:

Basically you have to divide 40 by 10 because 1/4 of 100 is 25. 25 is 1/4 of 100.

So knowing this 40/0.25 is equal to 10. This is why 0.25 of 40 is 10.

Answer:

Step-by-step explanation:

We all know that there are 52 cards prszent in a deck out of which 13 are diamonds. Hence, the probability that both cards are spade is

13/52 * 12/51 =

0.25 * 0.235 =

0.0588

If both cards turn out to be diamonds, the friend pays $810 which is

$810 * 0.0588 = $47.628

On the other hand, the probability that both cards isn't a diamond is simply the negation of the probability that it is a diamond.

1 - 0.0588 = 0.9412

And you would have to pay your friend

$49 * 0.9412 = -$46.12, with the prefixed negative sign telling us that it's a lost bet.

Answer:

B

Step-by-step explanation:

because the equation when you get it is the number you divide with

Answer:

6/24

Step-by-step explanation:

Answer:

do u got a pic?

Step-by-step explanation:

Answer:

Question 1 answer is 144

Step-by-step explanation:

just multiply

Answer:

1. 36 days, 2. $8,680

Step-by-step explanation:

1. We know that 12 men can do the work in 72 days, so if you add double the men, it will take half the time. Half of 72 is 36, so our answer is 36 days.

2. If $7,000 is borrowed, that person owes $7,000 so far, but they keep it for 4 years with an annual interest rate of 6%. To solve this, we need to find 6% of 7,000. To do this, we multiply 7,000 by .06. That gets us 420. Now, we multiply 420 by 4. That gets us 1,680. Now, we add 1,680 and 7,000. That gets us 8,680. That means the final amount owed is $8,680.

Answer:

All real numbers make his equation true.

Step-by-step explanation:

Answer:

Answer:3 pounds per foot

The required weight of the rope in pounds per foot is given as 3 pounds per foot.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

here,
As of the conversion of the unit,
45 ounces = 0.25 pound

12 inch = 1 foot

Weigh of rope, in 12-inch rope,
= 12 × 0.25
= 3 pounds per foot

Thus, the required weight of the rope in pounds per foot is given as 3 pounds per foot.

Learn more about measurement here:

brainly.com/question/12629581

#SPJ5

Answer:87.86

Step-by-step explanation:

110x75/100=82.50

82.50x106.5/100=87.86

Answer:

h(11) = 101

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = -20 + 11t

h(11) is t = 11

Step 2: Evaluate

Answer:

a) 40%

b) 1400

c) 700

Step-by-step explanation:

Hope this helps!      :3

Plz mark as Brainliest!

Answer: [tex]\frac{1}{56}[/tex].

Step-by-step explanation:

First, we need to find a common denominator. Which is 56.

So the fraction for 7/8 will be [tex]\frac{49}{56}[/tex] and 6/7 will be [tex]\frac{48}{56}[/tex].

[tex]\frac{49}{56} - \frac{48}{56} = \frac{1}{56}[/tex].

So [tex]\frac{1}{56}[/tex].

Answer:

The number of boys that have school dinners is 381.  

Step-by-step explanation:

First, we need to find how many students have school dinners:

[tex] SD = 1200*0.62 = 744 [/tex]

The percent of girls that have school dinners:

[tex] \%SD_{g} = 100\% - 45\% = 55\% [/tex]

Now, we need to find the number of boys (b) and girls (g) at a school:

[tex] g = 1200*0.55 = 660 [/tex]

[tex]b=1200 - 660 = 540[/tex]

Hence. the percent of boys that have school dinners is given by:

[tex] SD = g*\%SD_{g} + b*\%SD_{b} [/tex]

[tex]\%SD_{b} = \frac{SD - g*\%SD_{g}}{b} = \frac{744 - 660*0.55}{540} = 0.706[/tex]

[tex] \%SD_{b} = 70.6\% [/tex]

Finally, the number of boys that have school dinners is:

[tex]B = 540*0.706 = 381[/tex]    

Therefore, the number of boys that have school dinners is 381.                                

I hope it helps you!                                                                            

Answer:

[tex](x,y) = (0,1)[/tex]

Step-by-step explanation:

Given

The above table

Required

Determine the coordinates of the y intercept

Represent points on the table as:

[tex](x_1,y_1) = (4,2)[/tex]

[tex](x_2,y_2) = (8,3)[/tex]

First, calculate slope (m):

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{3-2}{8 - 4}[/tex]

[tex]m = \frac{1}{4}[/tex]

For y intercept, the following coordinate point exist:

[tex](x_3,y_3) = (0,y)[/tex]

Because x = 0 at y intercept

Calculate the slope as:

[tex]m = \frac{y_3 - y_1}{x_3 - x_1}[/tex]

The equation becomes

[tex]\frac{1}{4} = \frac{y - 2}{0 - 4}[/tex]

[tex]\frac{1}{4} = \frac{y - 2}{- 4}[/tex]

Cross Multiply:

[tex]4(y-2) = -4 * 1[/tex]

Divide through by 4

[tex]y - 2 = -1 * 1[/tex]

[tex]y - 2 = -1[/tex]

Make y the subject:

[tex]y = 2-1[/tex]

[tex]y = 1[/tex]

Hence, the coordinates of the y intercept is:

[tex](x,y) = (0,1)[/tex]

Answer:

[tex]\displaystyle m=1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-1, 0)

Point (0, 1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

1

Step-by-step explanation:

To do this you just need to know the slope equation y2 - y1 over x2- x1 so if you plug in 2 coordinates you can do (0,1) and (-1,0) and when you plug it into the formula you get 1/1 which is 1 so the slope is 1

Answer:

Mu answer is 9/4 I am nor explain

Answer:

B. C. D. E ALL HAVE FOUR SIDES

Answer:

B

Step-by-step explanation:

Answer: s-6

Step-by-step explanation:difference means subtract so that why there subtract sign. And you are trying to find the difference of s and 6 so you write s -6.

Hope it help and please give Brainliest if it did thanks ;)