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Katena32 [7]
3 years ago
11

Do problem 5 show work i will mark brainliest!!!!!

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

20

Step-by-step explanation:

The sides of the park measure 30 m and 40 m. They form the sides of a rectangle. The length of the path is along the length and width of the park, so by going along the path, the distance is

30 m + 40 m = 70 m

Going through the park, you walk in a straight line from the park to the home along a diagonal of the rectangle. That diagonal is a hypotenuse of a right triangle whose sides measure 30 m and 40 m. We use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

Let the legs of the right triangle be a and b. Let the hypotenuse be c.

(30 m)^2 + (40 m)^2 = c^2

900 m^2 + 1600 m^2 = c^2

c^2 = 2500 m^2

Take the square root of each side.

c = 50 m

The direct path from the school to the house is 50 m.

Difference: 70 m - 50 m = 20 m

Answer: You save 20 m.

Andrej [43]3 years ago
4 0

Answer:

i solved that in your post of the "quiz" already *sigh*

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The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e
Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet  of peanut butter contains = 500 + 20% of 500                                                                                                            =500+500\times \frac{20}{100} =500+100=600\ gram

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price =  Each jar weigh \times number of jars

                       = 600 \times 4 = 2400 gram

<u>Cost of each packet will be same as previously as during the offer;</u> $7.20

Cost of 3 packet's peanut (2400 gram) =  7.20\times3=\$21.6

Now, we will calculate cost per 100 grams of peanut butter :

<u>During offer:</u>

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = \frac{21.6}{2400}

Cost of 100 gram of peanut butter = \frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9

<u>Normal day:</u>

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = \frac{7.20}{500}

Cost of 100 gram of peanut butter = \frac{7.20}{500}\times100=\frac{720}{500} =\$1.44

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

<u>Conclusion:</u>

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

             

7 0
2 years ago
Solve the triangle, AMDM
krok68 [10]

Answer:

B

Step-by-step explanation:

You are given two sides and the included angle, so you need to use the law of cosines.

c² = a² + b² - 2ab cos C

c² = 12² + 13² - 2(12)(13)cos 134°

c² = 313 - 312(-0.6947)

c² = 529.733

c = 23.016

Now use the law of sines.

c/sin C = a/sin A

23.016/sin 134° = 12/sin A

sin A = 12 × sin 134° / 23.016

sin A = 0.37504

A = 22.03°

B = 180° - 134° - 22.03°

B = 23.97°

m<A = 22°; m<B = 24°; c = 23 km

Answer: B

6 0
1 year ago
Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.
Lina20 [59]

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

<h3>What is an area?</h3>

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area =  Area of rectangle + Area of triangle

        = (1.5 in × 4.5 in) + (0.5×3×3)

        = 6.75 in² + 4.5 in²

        = 11.25 in²

Hence, the area of the arrow is 11.25 in².

Learn more about the Area:

brainly.com/question/1631786

#SPJ1

7 0
2 years ago
Which is the best estimate of the solution to this system of equations ?
Ket [755]
The answer is (4,2). The solution to a system of equations is when there is an intersection.
6 0
3 years ago
Read 2 more answers
Adam wanted to play his video games. His mother told him that he needed to finish his homework, clean out the dishwasher, and cl
11Alexandr11 [23.1K]

Answer:

2 hours and 28 mins

Step-by-step explanation:

75-15=60=1 hour     remain 15 mins

45+14=63-3=60=1 hour      remain 3 mins

3+25=28 mins        remain 0 mins

total= 2hours and 28 mins

plz mark me brainly .

3 0
2 years ago
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