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Svetlanka [38]
3 years ago
8

Need help with just number 5

Mathematics
1 answer:
antoniya [11.8K]3 years ago
3 0

Answer:

i think the first one is the distributive property...i know that's not very helpful but it's the only one i could figure out

it's distributive because it is multipying everything in the second brackets by everything in the first brackets

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The sum of the digits of a three-digit number is 16 .the tens digit is two more than the units digit and the unit digit is tripl
Anit [1.1K]

Answer:

286

Step-by-step explanation:

If the three-digit number is xyz, then:

x + y + z = 16

y = z + 2

z = 3x

Substitute the third equation into the second:

y = 3x + 2

Substitute this and the third equation into the first:

x + (3x + 2) + (3x) = 16

7x + 2 = 16

7x = 14

x = 2

y = 3x + 2 = 8

z = 3x = 6

The number is 286.

4 0
3 years ago
Meg has a piece of poster board that is two and two-fifths feet wide. she needs to fold it into three equal sections. how wide w
snow_lady [41]
2 and (2/5) = 12/5

(12/5) divided by 3 = (4/5)
The answer is four fifths feet

4 0
3 years ago
Can anyone help me solve these math problems?
Veseljchak [2.6K]

Answer:

  1. x = 2
  2. r = 48
  3. 3536 ft
  4. √10
  5. 10°

Step-by-step explanation:

1. The Pythagorean theorem applies, so the sum of the squares of the legs is equal to the square of the hypotenuse.

  x² + (x+3)² = (√29)²

  2x² +6x +9 = 29 . . . . . . eliminate parentheses, collect terms

  2x² +6x -20 = 0 . . . . . . subtract 29

  x² +3x -10 = 0  . . . . . . . . divide by 2

  (x +5)(x -2) = 0 . . . . . . . . factor

x = -5 or +2 . . . . . . . . . . . . values that make the factors zero (-5 is extraneous)

The value of x is 2.

__

2. Even though the figure is drawn incorrectly the Pythagorean theorem still applies. (The second attachment shows the circle in the right place. The figure is not to scale.)

  14² + r² = (r+2)²

  196 + r² = r² +4r +4 . . . . eliminate parentheses

  192 = 4r . . . . . . . . . . . . . .subtract r²+4 from both sides

  48 = r . . . . . . . . . . . . . . . . divide by 4

The value of r is 48.

__

3. You will recognize that the triangle involving the distance above the ground, the distance along the ground, and the straight-line bullet path is an isosceles right triangle. So, the hypotenuse is √2 times the length of either leg. The path length of the bullet is ...

  (2500 ft)√2 ≈ 3536 ft

__

4. see below for the diagram

The length to the terminal point is found using the Pythagorean theorem:

  d = √(3² +(-1)²) = √10

The distance from the origin to the terminal point is √10 ≈ 3.16.

__

5. Angles "a" and "8a" total 90°, so we have ...

  a + 8a = 90°

  9a = 90° . . . . . . . . collect terms

  a = 10° . . . . . . . . . . divide by 9

The value of a is 10°.

8 0
3 years ago
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my comput
motikmotik

Step-by-step explanation:

o2+a2=h2

100} h^{2}=(10ft)^{2} +(17ft)^{2}

h2=100ft2+289ft2

h=389ft2−−−−−√

→19.7ft

this is an example on how to do it

8 0
2 years ago
A bag contains yellow marbles and blue marbles, 37 in total. The number of yellow marbles is 7 more than 5 times the number of b
Mazyrski [523]

Answer:

32

Step-by-step explanation:

let b represent the number of blue marbles then

yellow = 5b + 7 and

b + 5b + 7 = 37, that is

6b + 7 = 37 ( subtract 7 from both sides )

6b = 30 ( divide both sides by 6 )

b = 5

Thus there are 5 blue and 5(5) + 7 = 25 + 7 = 32 yellow marbles

5 0
3 years ago
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