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lakkis [162]
3 years ago
5

The area of the triangle below is 10.6 square centimeters. What is the length of the

Mathematics
1 answer:
CaHeK987 [17]3 years ago
3 0

Answer:

6 cm

Step-by-step explanation:

The area of a triangle is \frac{bh}{2} = A, where b = base, h = height, and A = area. In this case, we're given the height as 4 cm and the area as 6 cm^2.

Let's plug in these values.

  • \frac{4b}{2} = 6

Now, let's solve this algebraically.

Step 1: Multiply both sides by 2.

  • \frac{4b}{2} * 2 = 6 * 2
  • 4b = 12

Step 2: Divide both sides by 4.

  • \frac{4b}{4} = \frac{12}{4}
  • b = 3

Step 3: Check if solution is correct.

  • \frac{3*4}{2} = 6
  • \frac{12}{2} = 6
  • 6 = 6

Therefore, the base is 6 cm. (but don't put the cm in the box because it's already there)

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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The ratio of the number of emails sent by arianna to the number of email sent by her brother is 2 to 6 if arianna sent 150 text
avanturin [10]

Answer:

Step-by-step explanation:

First you need to use your information to set up a proportion.  (put your parts over the wholes and a variable in the blank spot.

<u>part </u>       <u> part</u>

whole     whole

<u>2 </u>   <u>6</u>

x    150

Now you use the butterfly method, cross multiply the numerator and denominator and then divide that answer by the remaining numerator or denominator.  This will give you the missing value for your variable.

150 x 2 = 300     300 ÷ 6 = 50

5 0
3 years ago
In a two-digit number the tens digit is four less than the units digit. Seven times the tens digit plus five times the units dig
Iteru [2.4K]

The digits of the number are 7 and 3

Step-by-step explanation:

In a two-digit number:

  • The tens digit is four less than the units digit
  • Seven times the tens digit plus five times the units digit is equal to 56

We need to find the digits

Assume that the unit digit is x and the ten digit is y

∵ x represents the unit digit

∵ y represents the ten digit

∵ The ten digit is four less than the unit digit

- That means subtract 4 from the unit digit to get the ten digit

∴ y = x - 4 ⇒ (1)

∵ Seven times the tens digit plus five times the units digit is

   equal to 56

- That means multiply the ten digit by 7 and the unit digit by

   5 and add the two products and equate the sum by 56

∴ 7y + 5x = 56 ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (2) by equation (1)

∵ 7(x - 4) + 5x = 56

- Simplify the left hand side

∴ 7x - 28 + 5x = 56

- Add the like terms in the left hand side

∴ 12x - 28 = 56

- Add 28 to both sides

∴ 12x = 84

- Divide both sides by 12

∴ x = 7

- Substitute the value of x in equation (1) to find y

∵ y = 7 - 4

∴ y = 3

∴ The number is 37

The digits of the number are 7 and 3

Learn more:

You can learn more about the system of equation in brainly.com/question/6075514

#LearnwithBrainly

3 0
4 years ago
Write an English phrase that would translate into the following mathematical expression.
Yuliya22 [10]

Answer:

C.

Step-by-step explanation:

5z - 7, you would say 5 times z minus 7, which is the same as 5 less than th product of 7 and a number z

6 0
3 years ago
A car is moving at a constant acceleration of 7.0 m/s/s. How fast (velocity) is it going after 4.0 seconds, if it starts from re
HACTEHA [7]
28 m/s. 7 x 4 hope this helps:)
7 0
3 years ago
Write an equation for the line, in point slope form given the following information
kakasveta [241]

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

6 0
3 years ago
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