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attashe74 [19]
2 years ago
10

PLS HELP MY HWS DUE IN 30 MINS AND PLS SHOW WORK TY find the value of each variable

Mathematics
1 answer:
OLga [1]2 years ago
8 0

Answer:

m

Step-by-step explanation:

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Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run
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You take what Mark ran, 46 miles, and you see that Mark ran 31 more miles than Jack, so the equation would be 46-31, which would be 15 miles. So, Jack ran 15 miles.
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A company logo is made up of a square and three identical triangles.
IgorLugansk [536]

Answer:

the \: area \: of \: the \: logo \: is \:  {91cm}^{2}

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

a =  {a}^{2}

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

asquare =  {7}^{2}  \\ asquare =  {49cm}^{2}

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

a =  \frac{b.h}{2}  \\  a =  \frac{7.4}{2}  \\ a =  \frac{28}{2}  \\ a =  {14cm}^{2}

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

atriangles = 3a \\ atriangles =  {42cm}^{2}

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo =  {91cm}^{2}

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3 years ago
Find the value of x, which makes the area of this triangle equal 72.
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Area of a triangle=1/2(base x height)
Area=72, Base=8, Height=2x-3
Plug it in.
72=1/2(8 x (2x-3))
72=1/2(16x-24)
72=8x-12
84=8x
x=10.5
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3 years ago
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John needs 13 bottles of water from the store. John can only carry 3 at a time. What's the minimum number of trips John needs to
artcher [175]
13/3 = 4 1/3...so the minimum would be 4 1/2
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