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Ivahew [28]
4 years ago
9

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the

ladder rest
Mathematics
1 answer:
Alekssandra [29.7K]4 years ago
5 0

Answer:

6 ft.

Step-by-step explanation:

a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6

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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
What is the estimate of 33,497 divided by 182
Molodets [167]
The each awnser will be
6 0
3 years ago
Read 2 more answers
A rational and an irrational number between 3.99 and 4
Naddik [55]
The rational numbers would be 3.99 and 4 while there are no irrational number. A rational number is a number that can be written as a fraction for 3.99 it can be written as 399/100 and its the simplest form of the fraction. Also, 4 is a rational number since it can be written as 4/1 which is a fraction.
5 0
3 years ago
Read 2 more answers
A. Find x<br> B. Find the measure of angle b <br> C. Find the measure of angle c
sdas [7]

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

8 0
3 years ago
Solve for x. 4(2x + 1) = 3(x + 8)
il63 [147K]
4(2x+1) = 3(x+8)
8x + 4 = 3x + 24
5x = 20
∴x = 4
8 0
3 years ago
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