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Annette [7]
3 years ago
15

(05.01)Which equation can be used to calculate the area of the shaded triangle in the figure below?

Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0
2nd one, take area of whole 12 x 4=48, if area is equally divided, divide area by 2 or multiply by 1/2

Margaret [11]3 years ago
3 0

Answer:

<u>Option (2) is correct.</u>

Area of shaded region is \frac{1}{2} \times(12 \times 4)=24 \text{square feet}

Step-by-step explanation:

As per the given information, figure below shows a rectangle with a width of 4 ft and a length of 12 ft. There is a diagonal line through the rectangle, and the bottom half is shaded in grey.

Area of rectangle = Length × width

Area of given rectangle = 12 × 4 = 48 ft²

Since we have to find the area of shaded region which is half of the area of whole rectangle as diagonal divide the rectangle into two equal triangles.

Thus, area of shaded region is half the area of rectangle.

AREA OF SHADED REGION = \frac{1}{2} \times(12 \times 4)

                                         =\frac{1}{2} \times(48)

                                           =24 ft²

thus, area of shaded region is \frac{1}{2} \times(12 \times 4)=24 \text{square feet}

Option (2) is correct.

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Will give brainliest!!! The MTC Theater holds 250 people, and last night’s performance sold out! Students under the age of 16 pa
MakcuM [25]
60 children tickets and 190 adult tickets were sold.

Step-by-step explanation:

Let the no. of adult tickets sold be 'a'

Let the no. of children tickets sold be 'c'

Total tickets sold = 250

Cost of 1 children ticket = $2.5

Cost of 1 adult ticket = $4

Total money collected= $910

Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910

Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
4 0
2 years ago
Find the volume of the sphere. Round your answer to the nearest tenth.
shepuryov [24]

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

-------------------------------------------------------------------------------------------------------------

Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

5 0
2 years ago
10th grade geometry ASAP PLZ HELP
iogann1982 [59]
Angles in a line = 180
180-165 = 15 degrees

15 + 45 + ? = 180
60 + ? = 180
? = 120
7 0
2 years ago
David has an after-school job at an animal shelter he notices that at one meal for dogs can eat three cans of food
svetlana [45]

what are you asking?

7 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
devlian [24]

Answer:

The rocket will reach its maximum height after 6.13 seconds

Step-by-step explanation:

To find the time of the maximum height of the rocket differentiate the equation of the height with respect to the time and then equate the differentiation by 0 to find the time of the maximum height

∵ y is the height of the rocket after launch, x seconds

∵ y = -16x² + 196x + 126

- Differentiate y with respect to x

∴ y' = -16(2)x + 196

∴ y' = -32x + 196

- Equate y' by 0

∴ 0 = -32x + 196

- Add 32x to both sides

∴ 32x = 196

- Divide both sides by 32

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

∴ The rocket will reach its maximum height after 6.13 seconds

There is another solution you can find the vertex point (h , k) of the graph of the quadratic equation y = ax² + bx + c, where h = -\frac{b}{2a} and k is the value of y at x = h and k is the maximum/minimum value

∵ a = -16 , b = 196

∴ h=-\frac{196}{2(-16)}

∴ h = 6.125

∵ h is the value of x at the maximum height

∴ x = 6.125 seconds

- Round it to the nearest hundredth

∴ x = 6.13 seconds

4 0
3 years ago
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