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Nadusha1986 [10]
3 years ago
13

Please Help! Will mark brainliest!

Mathematics
1 answer:
damaskus [11]3 years ago
3 0

Answer:

440 miles

Step-by-step explanation:

miles  ÷ gallons

132 ÷ 6 = 22

22 miles per gallon

22 × 20 = 440

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P,W,R & S form the vertices of a quadrilateral. PQR = 74 degrees
Zielflug [23.3K]

Answer:

∠ SPQ = 75°

Step-by-step explanation:

The sum of the 4 angles in a quadrilateral = 360°

Subtract the sum of the 3 angles from 360 for ∠ SPQ

∠ SPQ = 360° - (90 + 74 + 121)° = 360° - 285° = 75°

6 0
3 years ago
Read 2 more answers
Aaron is 15 centimeters taller than Peter, and five times Aaron's height exceeds two times Peter's height by 525 centimeters. Th
Tatiana [17]
The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450,           y = 450 : 3        y = 150
x = 15 + y           x = 15 + 150     x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
4 0
3 years ago
Read 2 more answers
Find the distance between points A (5.-7) and B (-3,-4)
Strike441 [17]

It would help if you had a four quadrant graph, but the distance would be (8,11).

7 0
3 years ago
Find approximate solution for the equation in the interval 0<_ x <_ pi. round to three decimal places. tanx=5 sin x
timofeeve [1]

Answer:

d. 0, 1.369

Step-by-step explanation:

Given:

The equation is: \tan x =5\sin x................(0\leq x\leq \pi)

Adding -5\sin x on both sides, we get

\tan x - 5\sin x=0

Using the identity \tan x=\frac{\sin x}{\cos x}, we get

\frac{\sin x}{\cos x}-5\sin x=0

Factoring out \sin x, we get

\sin x(\frac{1}{\cos x}-5)=0\\\\\therefore \sin x=0\ or\ \frac{1}{\cos x}-5=0\\\\x=\sin^{-1} (0)\ or\ \cos x=\frac{1}{5}\\\\x=0\ or\ x=\cos^{-1} (\frac{1}{5})\\\\x=0\ or\ x=1.3694\approx 1.369(\textrm{Round to 3 decimal places})

Therefore, the solution of the given equation is either 0 or 1.369.

The correct choice is d.

4 0
3 years ago
Rani and her friends are raking leaves as a part of a school service project. The regular price of the supplies they need is 60$
olga2289 [7]

The sale price of the supplies is $48.

<u>Step-by-step explanation</u>:

  • Regular price = $60.
  • Discount price = 20% of $60

⇒ (20/100) 60

⇒ (1/5) 60

⇒ 12

∴ The discount price is $12.

The sale price = regular price - discount price.

The sale price =  $60 - $12 = $48

5 0
4 years ago
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