Tyrell is a landscape architect. For his first public project, he is asked to create a small-scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with a base of 25 m and a height of 30 m. The scale is 1 inch = 5 meters. What are the dimensions of the scale drawing of the garden?
*HINT: Set up two proportions to find the length of the BASE and the length of the HEIGHT of the triangular garden.
A. 125-inch base; 150-inch height

B. 1-inch base; 5-inch height

C. 10-inch base; 15-inch height

D. 5 inch base; 6 inch height

Answer:

Confidence interval is 0.7 ≤ p ≤ 0.8

The margin of error is 7.1 %

Step-by-step explanation:

We have to calculate a 98% confidence interval for the proportion.

The sample proportion is p=0.75.

The standard error of the proportion is:

Here we have, the proportion or point estimate given by

= 150/200 = 0.75

Sample size, n = 200

The formula for confidence interval, CI, given a proportion, is;

At 98% z = ±2.326348

Plugging in the values of, , z and n we get;

CI = 0.6787704 ≤ p ≤ 0.8212296

To one decimal place, we have

CI = 0.7 ≤ p ≤ 0.8

Answer:

6 elephants + 15 tigers

Step-by-step explanation:

(Im assuming that the animals are meant to be variables)

X = elephants, y = tigers

2x + 15y + 4x

Combine like terms: 2x + 4x +15y

Simplify: 6x + 15y

Answer:

ABD

Step-by-step explanation:

Answer:

My best guess will have to be B

Step-by-step explanation:

i remember this question

Answer:

ll

Step-by-step explanation:

bye

Answer:

12 mintes

Step-by-step explanation:

u add

Answer:

Midpoint for A is (1,5) and for B it is (2.5,4.5)

Step-by-step explanation:

To get the midpoint you add the x coordinates and divide by 2 and then the y coordinates and divide by 2.

X = (3 + -1)/2    y = (8+ 2)/2

   =2/2 = 1             10/2=5

Answer:

1) decrease

2) increase

3) increase

a) 10% circle decrease

b) split the bar into 10 even parts. shade in first square. ⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜

workspace do $3.50×0.10=0.35 $3.50-0.35

c) discount in dallars: $0.35

d) final coat of notebook: $3.15

Answer: [tex]6351.25\ ft[/tex]

Step-by-step explanation:

Given

Angle of elevation [tex]x=12^{\circ}[/tex]

Height of tower [tex]h=1350\ ft[/tex]

Suppose tourist is d feet away from the tower

from the figure, we can write

[tex]\Rightarrow \tan 12^{\circ}=\dfrac{1350}{d}\\\\\Rightarrow d=\dfrac{1350}{\tan 12^{\circ}}=6351.25\ ft[/tex]

Thus, the distance of tourist from the tower is [tex]6350.25\ ft[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The OUT for -3 is 6, and the OUT for 1 is 2.

Step-by-step explanation:

The rule is for any x, OUT(x) = IN(x) * (x+1)

Below is showing the rule:

IN=2: 2*3=6

IN=4: 4*5=20

IN=10: 10*11=110

etc.

If I helped, a brainliest would be greatly appreciated!

Answer: 5 quintal = 500 kilogram

Step-by-step explanation:

Answer:

b=570

Step-by-step explanation:

5(590-b)=100

multiplying 5 with right hand side

2950-5b=100

2950-100=5b

2850=5b

2850/5=b

570=b

Answer:

C. 0.6

Step-by-step explanation:

If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%

60% = 0.6 in this scenario.

There is a 0.6 chance he will fail.

Answer:

d. -1

Step-by-step explanation:

the slope is the rise over the run from one point to another.

i hope this helps :)

Each line is 1 unit.

Use the dots A and B

A is located at (-3,3)

B is located at (3,-3)

Slope is the change in y over the change in x

Slope = (-3 -3) / (3 - -3)

Slope = -6/6

Slope = -1

The answer is D -1

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

[tex]S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ][/tex]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

[tex]S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888[/tex]

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

Answer:

1. There are 8 cubic blocks are needed to fill a cube. Explanation in pic

2. 441 cubic blocks will fill the rectangular prism. Explanation in pic

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

1. 8 cubic blocks, 2. 9 cubic blocks

Step-by-step explanation:

Answer:

Answers below

Step-by-step explanation:

Radius = 3m

Diameter:

d = 2r

d = 2(3m)

d = 6m

Circumference:

c = 2πr

c = 2π(3m)

c = 6π m

c = 18.85 m

Area:

A = 2πr^2

A = 2π(3m)^2

A = 18π m^2

A = 56.55 m^2

Please mark brainliest if this helped

Please mark brainliest if this helped

Answer:

1/36

Step-by-step explanation:

(1/6)×(1/6)=1/36

Answer: 1.65f

Step-by-step explanation:

Last year's admission fee = f

Percentage Increase in the admission fee = 65%

New admission fee will be the addition of last year's admission fee and the increase in the admission fee. This will be:

= f + (65% × f)

= f + (65/100 × f)

= f + (0.65 × f)

= f + 0.65f

= 1.65f

The new admission fee is 1.65f

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

$3,650 in total

Step-by-step explanation:

If you calculate

Solve the equation replacing x with 2 and the 6:

-2^2 + 2(2) + 2 = 4 + 4 + 2 =10

-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50

Difference between the answers: 50-10 = 40

Difference between 2 and 6 = 6-2 = 4

Average rate of change = 40/4 = 10

The answer is 10

Answer:

d. 16 - 4x^2

Step-by-step explanation:

(4-2x)(4+2x)

= 16 - 4x^2

Answer:

mean: 8

Step-by-step explanation:

Find the sum of all of the numbers:

3+4+5+7+10+12+15=56

Divide the sum by the quantity of numbers in the set:

56/7=8

Answer:

The mean= 8

Acellus sux

Step-by-step explanation:

Answer:

Answer: x=20-3

Step-by-step explanation:

Answer:

(6,1) I’m pretty sure because it is the midpoint between the focus and directrix.

Step-by-step explanation: