A ladder which is 6.7 m long is placed on the ground 2.8 m from a vertical wall and then leaned over to the wall. How high up the wall can the ladder reach? Give your answer rounded to 1 DP.

Answer:

C=9.42

Step-by-step explanation:

Formulas: C=2πr or C=πd

Were gonna use C=2πr

"r"stands for radius from the problem we know that the radius is 1.5 .

Now we substitute the "r" for 1.5, it looks like this C=2π1.5 .

Now we multiply 2x1.5=3 . Now you are left with C=3π

Now you need to multiply 3xπ (Instead of π use 3.14) it would look like this 3x3.14= 9.42

Answer:

80.0 cm

...................

1 The solution involves four steps.

Make sure the sample size is big enough to model differences with a normal population. ...

Find the mean of the difference in sample proportions: E(p1 - p2) = P1 - P2 = 0.52 - 0.47 = 0.05.

Find the standard deviation of the difference. ...

Find the probability.

Answer:

614

Step-by-step explanation:

15 x 13 = 195    two times   195 x 2 = 390

4 x 15 = 60    two times   60 x 2 = 120

4 x 13 = 52      two times   52 x 2 = 104

104 + 120 + 390 = 614

Answer:

SA = 2(l·w)+2(w·h)+2(l·h)

SA = 614 sq in

Step-by-step explanation:

SA = 2(4x13)+2(13x15)+2(4x15)

= 2(52)+2(195)+2(60)

= 104 + 390 + 120

= 614

Answer:

B hope this helps!

Step-by-step explanation:

Trust <3

Answer:

The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.

The searched polygon can be seen in the attached image.

The area of the polygon will be the area of the square plus the area of the triangle.

At = (6) * (8) + (1/2) * (5) * (8) = 68

At = 68

answer

the area of the polygon is 68units ^ 2

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Answer:96

Step-by-step explanation:

It's super easy you just multiply 8x4x3=96

and that gives you the answer

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

Answer:

18.1

The thing You NEEDED to do

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

Answer:

I think 50

Step-by-step explanation:

Answer:

470 inches

Step-by-step explanation:

p = 2l + 2w

p = 2*145 + 2*90

p = 290 + 180

p = 470

Answer:linear

Step-by-step explanation:

it is a straight line

The best-fitting regression model for the scatterplot is linear. Thus, the correct answer is an option (A).

As per the given figure, the data points on a scatterplot, with the dependent variable (y-axis) plotted against the independent variable (x-axis).

Looking at the general pattern of the data points on the scatterplot.

Here, they follow a roughly linear trend.

This means that the data points roughly form a straight line or a curve that looks like a straight line.

Thus, the best-fitting regression model for the scatterplot is linear.

Hence, the correct answer is option (A).

Learn more about the regression model here:

https://brainly.com/question/24177976

#SPJ7

Answer:

C) y=2/3x+12

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(14-10)/(3-(-3))

m=4/(3+3)

m=4/6

simplify

m=2/3

y-y1=m(x-x1)

y-10=2/3(x-(-3))

y-10=2/3(x+3)

y=2/3x+6/3+10

y=2/3x+2+10

y=2/3x+12

Answer:

b. 6.40

Step-by-step explanation:

the distance = √(4+1)² + (1-5)²

=√25+16=√41 = 6.40

Answer:

$108.88

Step-by-step explanation:

because 329.95×0.33= 108.88

Using the intersecting chord theorem you multiply the two lengths of one line together to equal the multiplication of the two dimensions on the second line.

The answer would be 15(4) = 5x

Answer:

12, 23, 48, 325

Step-by-step explanation:

So, when given two inequalities and asked to find the values that make both true, it is considered a system of equations. To solve a system of equation, you have to graph the inequalities and find where they intersect.

Inequality 1:

(-3x) + 5 < (-10)

Inequality 2:

7x + x - 4 > 28

simplifies to: 8x - 4 > 28

When graphed, the inequalities don't intersect, but rather have a similar shaded area overlapping from the point of 5 and greater.

Answers that apply from given list would be:

12, 23, 48, 325

Answer:

7 attendees

Step-by-step explanation:

From the above question, we know that:

$10 = 5 attendees

$14 = x

Cross Multiply

$10 × x attendees = $14 × 5 attendees

x attendees = $14 × 5 attendees/$10

x attendees = 7 attendees

Therefore, if the budget for the cooperate team building is $14, the number of attendees is 7

Answer:

8

Step-by-step explanation:

[tex]\sqrt{8*8}[/tex] = [tex]\sqrt{64}[/tex]

[tex]\sqrt{64}[/tex] = 8

Hope this helps!

Answer:

Solution given:

[tex]\sqrt{8*8}[/tex]

[tex]\sqrt{8²}[/tex]

[tex]\large \bold{8}[/tex]

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

Answer:

1100 yd²

Step-by-step explanation:

The parking lot can be divided into 2 rectangles :

Area of a rectangle = Length * Width

First rectangle :

Dimension = 40 yards by 20 yards

Area = 40 * 20 = 800 yd²

Rectangule 2 :

30 yards by 10 yards

Area = 30 * 20

Area = 30 * 10 = 300 yd²

Total area of parking lot :

800 + 300 yd²

= 1100 yd²

Answer: I think 1000 sorry if I’m wrong have a great day!

Step-by-step explanation: 1,379,842 = 1000

Answer:

-9

Step-by-step explanation:

Using the sum/difference property of logarithms, we can rewrite the expression given as:

log b^3 + log c^3 - log √(a^3) --> log √(a^3) can also be written as log a^1.5

Next, we can use the power property of logarithms, and rewrite it again as:

3log b + 3log c - 1.5log a

Now, we can substitute the values of log a, log b, and log c:

3(11) + 3(-9) - 1.5(10)

33 - 27 - 15

-9

Simplifying, we get -9 as the answer.

Answer:

well it is explained here

Step-by-step explanation:

copy, paste download file open and expination is here  

check in the comments

Answer:

Linear

Step-by-step explanation:

The rule is that linear equations must have exponents of 1 (a sloped line) or 0 A verticle or horizontal line). This function can be simplified to

y = 3x - 12 + 5 = 3x - 7 which is the standard form of a linear equation

y - mx + b where m is the slope and m is the y intercept.

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

Answer:

x¯ = 26 min

μ = 23 min

Step-by-step explanation:

I took the test and these were the answers.

Answer:

E

Step-by-step explanation:

3/10 + 1/10 = 4/10

simplify 4/10

4/2 and 10/2

ANSWER = 2/5

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation: