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Liono4ka [1.6K]

3 years ago

10

Doune Punowing:

1 answer:

nataly862011 [7]3 years ago

8 0

The length of pathway is 10 inches on map.

Step-by-step explanation:

Given,

Total distance = 350 miles

According to map,

1 inch = 35 miles

Let, x be the number of inches on map.

Therefore, using proportion;

Inch : mile :: inch : mile

$1:35::x:350\\$

Product of mean = Product of extreme

$35*x=350*1\\35x=350\\$

Dividing both sides by 35;

$\frac{35x}{35}=\frac{350}{35}\\x=10$

The length of pathway is 10 inches on map.

Keywords: Ratio, proportion

Learn more about proportions at:

#LearnwithBrainly

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Find the Length of AC. Round answers to the nearest hundredth (2 decimal places)

lara31 [8.8K]

Answer:

32.78

Step-by-step explanation:

Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.

Let's find a and b.

Finding a:

Reference angle = 30°

Opp = 12 ft

Adj = a

Using trigonometric ratio formula, we have:

tan(30) = 12/a

Multiply both sides by a

a*tan(30) = 12

Divide both sides by tan(30)

a = 12/tan(30)

a = 20.78 (nearest hundredth)

Finding b:

Reference angle = 45°

Opp = 12 ft

Adj = b

Using trigonometric ratio formula, we have:

tan(45) = 12/b

Multiply both sides by a

b*tan(45) = 12

Divide both sides by tan(45)

b = 12/tan(45)

a = 12

Length of AC = 20.78 + 12 = 32.78

5 0

3 years ago

The terms in the sequence decrease by the same amount each time:

luda_lava [24]

Answer:the nth term of the sequence, Tn= -3n +12

Step-by-step explanation:

The nth term of an arithmetic progression is given as

Tn= a+ (n-1) d

where a= first term

and d = common difference

In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3

The first term, a= 9

and common difference, d = -3

using our formulae

Tn= a+ (n-1) d

Tn= 9 + ( n-1) -3

Tn=9- 3n+ 3

Tn= -3n +12

7 0

3 years ago

Complete the following statement of congruence:<br> A. TRS<br> B. RTS<br> C. STR<br> D. RST

Aliun [14]

Answer:

B. △RTS

Step-by-step explanation:

△MON ≅ △RTS

4 0

2 years ago

) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick

Feliz [49]

Answer:

Therefore the mass of the of the oil is 409.59 kg.

Step-by-step explanation:

Let us consider a circular disk. The inner radius of the disk be r and the outer diameter of the disk be (r+Δr).

The area of the disk

=The area of the outer circle - The area of the inner circle

= $\pi (r+\triangle r)^2- \pi r^2$

$=\pi [r^2+2r\triangle r+(\triangle r)^2-r^2]$

$=\pi [2r\triangle r+(\triangle r)^2]$

Since (Δr)² is very small, So it is ignorable.

∴ $A=2\pi r\triangle r$

The density $\delta (r)= \frac{40}{1+r^2}$

We know,

Mass= Area× density

$=(2r \pi \triangle r)(\frac{40}{1+r^2}})$

Total mass $M=\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i$

Therefore

$\sum_{i=1}^n \frac{80r_i\pi }{1+r^2}\triangle r_i=\int_0^5 \frac{80r\pi }{1+r^2}dr$

$=40\pi[ln(1+r^2)]_0^5$

$=40\pi [ln(1+5^2)-ln(1+0^2)]$

$=40\pi ln(26)$

= 409.59 kg (approx)

Therefore the mass of the of the oil is 409.59 kg.

3 0

2 years ago

A graph titled Passing Statistics has pass attempts on the x-axis, and yards on the y-axis. A line goes through points (24, 127)

pishuonlain [190]

Answer:#2

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers