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baherus [9]
2 years ago
8

A triangle has a base length of 4ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a =

5 and c = 4.
Mathematics
1 answer:
Darina [25.2K]2 years ago
4 0

The area of the triangle is 52,000 cm².

<h3>What is the area of the triangle?
</h3>

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

  • Base = 4 x 5 x 4² = 320
  • Height = 320 + 5 = 325

Area = 1/2 x 320 x 325 = 52,000 cm²

To learn more about triangles, please check: brainly.com/question/22949981

#SPJ1

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Using the distributive property to factorize the equation 3x^2+24x=0, you get ​
Natalka [10]

Answer:

Step-by-step explanation:

3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8

6 0
3 years ago
Read 2 more answers
The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


7 0
3 years ago
PLEASE HELPP!
r-ruslan [8.4K]

Answer:

$1.25

September

$30

Step-by-step explanation:

Let's take this a step a time.

First we need to find how much the price of the flowers were in September.

We know that each flower cost $1.50 on October.

The October price was a 20% increase of the September price.

To calculate for the price of the flowers on September, we can solve it like this:

Let x = Price during September

1.2x = 1.50

We used 1.2 because the price of $1.50 is 120% of the original price.

Now we divide both sides by 1.2 to find x.

\dfrac{1.2x}{1.2}=\dfrac{1.5}{1.2}

x = 1.25

The price of the flowers during September was $1.25 each.

Now the 7th grade class earned 40% of the selling price of each flower.

40% = 0.40

To find how much they made on each month, we simply multiply the percentage to the price and the number of flowers sold.

September = 0.40 x 1.25 x 900

September = 0.5 x 900

September = $450

Now for October.

October = 0.40 x 1.50 x 700

October = 0.6 x 700

October = $420

The 7th Graders earned more on September.

They earned $30 more on September than October.

5 0
3 years ago
Which Theroms can be used to determine that the triangles are congruent <br>​
Ivanshal [37]

Answer:

SAS

Step-by-step explanation:

side GF is shared.

angles between the sides, ∠EGF ≅ ∠HFG because they are corresponding congruent angles

6 0
3 years ago
The degree of the expression 4x^5y^m is 10 what is the value of m
Gala2k [10]

Answer: 5

Step-by-step explanation:

The degree is 5+m. Setting this equal to 10, we get m = 5.

4 0
2 years ago
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