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erica [24]
3 years ago
8

24) 12 21 X 84 91 28

Mathematics
1 answer:
padilas [110]3 years ago
5 0

Answer:

13

Step-by-step explanation:

12×7 = 84,

so the scale ratio is 1/7

now 91×1/7

= 91/7

= 13

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What is the approximate diagonal distance from one corner of a 3 inch by 5 inch index card to the opposite corner
77julia77 [94]

Answer:

5.83 inches

Step-by-step explanation:

The card is a rectangular shaped object, drawing a diagonal from one corner to the other, divides the rectangle into two right angled triangles with the diagonals as the hypothenuse.

Using Pythagoras theorem.

c^2 = a^2 + b^2

Given;

Side a = 3

Side b = 5

Substituting the given values;

c^2 = 3^2 + 5^2

c = √(9+25)

c = √34

c = 5.83 inches

7 0
3 years ago
What is the slope of a line that goes through points (-5, -7) and (-4, 1)​
andrey2020 [161]

Answer:

\displaystyle m=8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, -7)

Point (-4, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{1+7}{-4+5}
  2. [Fraction] Add:                                    \displaystyle m=\frac{8}{1}
  3. [Fraction] Divide:                                \displaystyle m=8
7 0
3 years ago
Read 2 more answers
An automobile traveling at the rate of 30 ft/sec is approaching an intersection. When the automobile is 120 feet from the inters
Trava [24]

Answer:

Distance between automobile and the truck is 100 feet.

Step-by-step explanation:

Speed of the automobile towards the intersection = 30 ft per sec

Speed of the truck that crosses the intersection = 40 ft per sec.

Automobile is 120 feet apart when the truck passes through the intersection.

After 2 seconds distance traveled by the automobile = Speed × time

= 30 × 2

= 60 feet

So the distance of the automobile from the intersection = 120 - 60

= 60 feet

Distance traveled by truck in 2 seconds = 40 × 2

= 80 feet

Now distance between them can be calculated by Pythagoras theorem

Distance = \sqrt{(60)^{2}+(80)^{2}}

= \sqrt{3600+6400}

= \sqrt{10000}

= 100 feet

Therefore, after 2 seconds distance between the truck and the automobile will be 100 feet.

4 0
3 years ago
How much simple interest will be earned in 3 years on $2500 in an account that pays 1.5%​
PolarNik [594]

Answer

Step-by-step explanation:

6 0
2 years ago
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Mary works for a company that ships packages and must measure the size of each box that needs to be shipped. Mary measures a box
jeka94

Answer:

7.5 X 14 X 15

l X w X h

answer 1575 cubed inches

7 0
3 years ago
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