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meriva
2 years ago
11

I'm not sure how to figure this out

Mathematics
1 answer:
Bad White [126]2 years ago
6 0

9514 1404 393

Answer:

  10°, 80°

Step-by-step explanation:

<em><u>Setup</u></em>

Let x and y represent the measures of the two acute angles in the right triangle.

From your knowledge of right triangles, you know the two acute angles are complementary:

  x + y = 90

The problem statement gives you another relation:

  x = 2(y + 30) . . . . twice the sum ...

__

<em><u>Solution</u></em>

The second equation gives you an expression for x that can be substituted into the first equation.

  (2(y +30)) + y = 90

  3y +60 = 90 . . . . . . . . collect terms

  3y = 30 . . . . . . . . . subtract 60

  y = 10 . . . . . . . . divide by 3

  x = 2(y +30) = 2(40) = 80

The two angles are 10° and 80°.

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Leezas aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Write and solve an inequal
svp [43]

Leeza can put 33 or less gallons of water in aquarium.

Step-by-step explanation:

Given,

Capacity of aquarium = 55 gallons of water

Water already in aquarium = 22 gallons

Let,

x be the number of gallons that can be added in aquarium.

As aquarium can hold 55 gallons of water, therefore, we cannot add more than 55 gallons of water.

x+22\leq 55

Subtracting 22 from both sides

x+22-22\leq 55-22\\x\leq 33

Leeza can put 33 or less gallons of water in aquarium.

Keywords: inequality, subtraction

Learn more about inequalities at:

  • brainly.com/question/7294502
  • brainly.com/question/7490805

#LearnwithBrainly

6 0
3 years ago
0.2x - 1 = -1<br> Fndndndnddsmsmsskaalamakaksnsndnx c cncjxmdnd
Sedaia [141]

Answer:

0.2

Step-by-step explanation:

6 0
3 years ago
0.02x = 40 what is X step by step explanation
Korolek [52]

Answer:

2000

Step-by-step explanation:

In the equation, there is 0.02 attached to the x. This means multiplication. TO get rid of the 0.02, you need to do the opposite of multiplication. That is division.

Divide both sides by 0.02.

\frac{0.02x}{0.02} =\frac{40}{0.02}

x=2000

8 0
3 years ago
Read 2 more answers
Simplify: 6a - 2(5a - 6)
NISA [10]

Answer:

-4a + 12

Step-by-step explanation:

8 0
3 years ago
The Width of a rectangular Park is 10 metres shorter than its length.if the area of the park is 236 square metre find its length
madam [21]

Answer:

let length be l

breadth=l-10m

area of rectangular park=236m²

Step-by-step explanation:

area of rectangular park=236m²

l×(l-10)=236

l²-10l-236=0

l²-2.l.5+5²-236-5²=0

(l-5)²-236-25=0

(l-5)²=261

(l-5)=√261

(l-5)=16.15

l=16.15+5=21.15

b=l-10=21.15-10=11.15

3 0
2 years ago
Read 2 more answers
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