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lesantik [10]
3 years ago
6

what is the area, in square inches, of the largest triangle that can fit into a 3-inch by 4-inch rectangle. please show how you

got your answer:)

Mathematics
1 answer:
AnnyKZ [126]3 years ago
4 0
The area of the largest triangle would be 6 inches².

How did I get this? I'll explain first:

We would want our triangle to have the longest sides, so it can be big. If you think of a rectangle, a triangle can fit into it if:

The base (bottom) of the triangle is the same length as one side of the rectangle, and the other side of the triangle is perpendicular (90°) to the bottom and is the same length of the other side of the rectangle.

Okay, just picture it: two sides of the triangle are resting in the two sides of the rectangle, and the third side of the triangle is a line that splits the rectangle in half from one corner to the other.

I've added an image to explain.

The formula to find the area of a triangle is half of the base × height.

A of Δ = half of 3 × 4
A = 1.5 × 4 = 6 inches²!

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As a fundraiser, the Music Boosters wrapped gifts at the mall one weekend. Out of the 100 gifts they wrapped, 3/10 were for wedd
dangina [55]

Answer: The fraction of the gifts were for birthdays = \dfrac{33}{100}.

Step-by-step explanation:

Given: fraction of gifts for weddings = \dfrac{3}{10}

fraction of gifts for baby showers = \dfrac{37}{100}

Rest of the gifts = 1-\dfrac3{10}-\dfrac{37}{100}

=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}

Hence, the fraction of the gifts were for birthdays = \dfrac{33}{100}.

4 0
3 years ago
Nina can type 124 words in 4 minutes.at this rate how many words can nina type in an hour
Ludmilka [50]

Answer:

<em>1,860</em>

Step-by-step explanation:

FIRST:

we divide 124 by 4 because in 4 minutes he can type 124 words, and we need to figure out how many he can type in a minute.

124 divided by 4 is 31. (they can type 31 wpm)

NEXT: now we know they can type 31 wpm, we need to multiply that number by 60 because there are 60 minutes in an hour.

31 x 60 = 1,860

therefore, they can type 1860 words per hour

hope i helped have a great day/night! :'')

6 0
3 years ago
Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol
RoseWind [281]

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

4 0
2 years ago
If Mel opens his refrigerator door 36 times every day, about how many times will it be opened in April? Will the exact answer be
USPshnik [31]
1080 times in April
6 0
3 years ago
Read 2 more answers
Is 3x+15=3(x+5) a infinite solution one solution or no solution
aniked [119]

Answer:

Step-by-step explanation:it is infinite solution because 15 is equal to 15 if it was like 15=13 it is no solution

7 0
3 years ago
Read 2 more answers
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