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Virty [35]
3 years ago
12

The lengths of the sides of a rectangle are 12.4 and 26. What are the measures of the angles between its diagonals? Round your a

nswers to the nearest whole number.

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

  51°, 129°

Step-by-step explanation:

The ratio of the sides is the tangent of the angle a diagonal makes with the side of the rectangle. The smaller such angle will be

  arctan(12.4/26) ≈ 25.5°

The smaller of the angles between the diagonals will be twice this value, or 51°. Its supplement is the larger angle between the diagonals, 129°.

You might be interested in
Spencer spent 4 hours doing chores over the weekend. If he spent 2/3
Troyanec [42]

Answer:

6 chores

Step-by-step explanation:

ok so,

4 hours=240minutes

2/3of an hour= 60×2/3

=40 minutes

so since one chore needs 40 minutes, then:

40/240= 6

so in 240 minutes/4 hours, Spencer can do 6 chores.

6 0
3 years ago
Read 2 more answers
OMG PLEASE HELP MEEEEEEEEEEEE!!!!!!!!!
Andreas93 [3]

Answer:

I think it is 123 for number 9 i can't see, the other problems

Step-by-step explanation:

7 0
2 years ago
Add or subtract. Express simplest form 1 2/5 - (-1 2/15
Elenna [48]
Its 2 8/15 Conversion a mixed number 1 2
5
to a improper fraction: 1 2/5 = 1 2
5
= 1 · 5 + 2
5
= 5 + 2
5
= 7
5


To find new numerator:
a) Multiply the whole number 1 by the denominator 5. Whole number 1 equally 1 * 5
5
= 5
5

b) Add the answer from previous step 5 to the numerator 2. New numerator is 5 + 2 = 7
c) Write previous answer (new numerator 7) over the denominator 5.

One and two fifths is seven fifths
Conversion a mixed number -1 2
15
to a improper fraction: -1 2/15 = -1 2
15
= -1 · 15 + (-2)
15
= -15 + (-2)
15
= -17
15


To find new numerator:
a) Multiply the whole number -1 by the denominator 15. Whole number -1 equally -1 * 15
15
= -15
15

b) Add the answer from previous step -15 to the numerator 2. New numerator is -15 + 2 = -13
c) Write previous answer (new numerator -13) over the denominator 15.

Minus one and two fifteenths is minus thirteen fifteenth
Subtract: 7
5
- (-17
15
) = 7 · 3
5 · 3
- (-17)
15
= 21
15
- (-17
15
) = 21 - (-17)
15
= 38
15

The common denominator you can calculate as the least common multiple of the both denominators - LCM(5, 15) = 15. The fraction result cannot be further simplified by cancelling.
In words - seven fifths minus minus seventeen fifteenth = thirty-eight fifteenths.
6 0
3 years ago
F(2) = -13 and f(-3) = 12
mario62 [17]

Answer:

f(x) = -5x-3

Step-by-step explanation:

f(x) = ax + b

f(2)=-13 & f(-3) =12

2a + b = -13

-3a+ b = 12

_________-

5a = -25

a = -5

b= -13+10= -3

so the formula of f(x) = -5x -3

5 0
2 years ago
Write a verbal description for each algebraic expression 100-5n
Reika [66]

Step-by-step explanation:

One hundred minus five n

6 0
3 years ago
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