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Dmitry_Shevchenko [17]
3 years ago
12

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the

length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet
Mathematics
1 answer:
Rama09 [41]3 years ago
3 0

Complete question :

The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.

Answer:

17

Step-by-step explanation:

From Pythagoras :

Hypotenus = sqrt(opposite² + adjacent²)

From the diagram

l = sqrt((l-9)² + 15²)

l² = (l² - 18x + 81 + 225)

Square both sides

l² = l² - 18x + 306

l² - l² = 306 - 18x

18l = 306

l = 306/18

l = 17

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Please help guys! Using the function f(x) = 3x – 5, what would the output be for an input of 4?
Lelechka [254]

Answer:

Output = 7

Step-by-step explanation:

Input value...is the value of x and the output value..is the value of y,

So the question is just saying that what is the value of y when x = 4

; 3(4) - 5

; 12 - 5

; y = 7...therefore the output value = 7

4 0
3 years ago
Read 2 more answers
What is the next fraction in this sequence? Simplify your answer.
laila [671]

Answer:

7/23

Step-by-step explanation:

Each answer is 1.5/23 less than the previous

17/46  - 1.5/23 =   17/46 - 3/46 = 14/46 = 7/23

4 0
2 years ago
Chris can be paid in one of two ways. Plan A is a salary of ​$490 per​ month, plus a commission of 9​% of sales. Plan B is a sal
Tanya [424]

Step-by-step explanation:

Explanation:

First, when dealing with percents, "Percent" or "%" means "out of 100" or "per 100", Therefore x% can be written as

 x/100.

The expression for Plan A can be written as:

490+(9/100)s where s is the sales for the month.

The expression for Plan B can be written as:

826+(3/100)s

The question we are being asked is when is Plan A > Plan B. So, we can write and solve this inequality:

490+(9/100)s>826+(3/100)s

490+(9/100)s−490−(3/100)s>826+(3/100)s−490−(3/100)s

490−490+(9/100)s−(3/100)s>826−490+(3/100)s−(3/100)s

0+(9/100)s−(3/100)s>826−490+0

(9/100)s−(3/100)s>826−490

(9/100−3/100)s>336

(6/100)s>336

(100/6)×(6/100)s>(100/6)×336

s> 33600/6

s>5,600

 Plan A is better when sales for the month are greater than $5,600.

8 0
4 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
3 years ago
Help me please? I’ll mark brainliest.
oee [108]

Answer:

A = 6 units

Step-by-step explanation:

6 - 2 = 4

the y-intercept stays the same

the x-intercept changes

8 0
3 years ago
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