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vlabodo [156]
2 years ago
5

A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?

Mathematics
1 answer:
vampirchik [111]2 years ago
7 0

Answer:

157.47km²

Step-by-step explanation:

Given the following

base of 18.1 kilometres

height of 17.4 kilometres

Area of the triangle = 1/2 * base * height

Area of the triangle = 1/2 * 18.1 * 17.4

Area of the triangle = 314.94/2

Area of the triangle = 157.47km²

Hence the area of the triangle is 157.47km²

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2. Determine the volume of the figure. Round your answer to the nearest tenth of a cubic foot. three feet, ten feet, four feet,
guajiro [1.7K]
Volume=Length x Width x Height
It doesn't matter which one you multiply first; you will get the same answer.
The equation is 3 x 10 x 4
3 x 10 = 30
30 x 4 = 120
Make sure it's written as 120 feet^{3} [/tex].
3 0
3 years ago
We have a shape that has an area of 112 inches squared. Convert the units to centimeters squared. (HINT: Perform multiple conver
Andre45 [30]
<h3>Answer: 722.5792 square centimeters</h3>

Work Shown:

112 \text{ in}^2 = 112 \text{ in}^2 \times \frac{2.54 \text{ cm}}{1 \text{ in}} \times \frac{2.54 \text{ cm}}{1 \text{ in}}\\\\112 \text{ in}^2 = (112 \times 2.54 \times 2.54) \text{ cm}^2\\\\112 \text{ in}^2 = 112 \times (2.54)^2 \text{ cm}^2\\\\112 \text{ in}^2 = 722.5792 \text{ cm}^2\\\\

Notes:

  • 1 inch = 2.54 cm exactly
  • The conversion factor \frac{2.54 \text{ cm}}{1 \text{ in}} is used to convert from inches to cm. The inches unit in the denominator cancels with one of the inches unit from the original 112 square inches figure.
  • We use two identical copies of the same conversion factor to convert from square inches to square centimeters. This is the "multple conversion" your teacher is referring to.
  • Think of "square inches", aka \text{in}^2, as "inches times inches". Or think of a 1 inch by 1 inch square that has an area of 1 square inch. The same applies for the square centimeter unit as well.
5 0
2 years ago
Your friend brings hot chocolate to school in the cylindrical thermos and drinks from her cylindrical mug shown.
Vesna [10]
Volume=height times area of base
base=circle so area of base=pir^2
ok so solume=height times pi times r^2


1.
thermos, h=10, r=2
therefor
 volume=10pi2^2=
 volume=10pi4=
40pi in^3 is brought to school


2. inside is 4 inches deep
h=4, r=1.5
volume=4pi1.5^2
volume=4pi2.25
volume=9pi
answer is 9pi in^3


3. so find 80% of 9pi
80%=0.8
0.8 times 9pi=7.2pi in^3
each times is 7.2pi in^3


4. ok so this is assuming that you fill the mug to 80% (7.2pi) each time and the remainder is it less or more or equal to half of 7.2pi so

total in thermos=40pi
each pour=7.2pi
40pi-7.2pi-7.2pi-7.2pi-7.2pi-7.2pi=4pi
is 4pi more or less than 7.2pi
7.2pi/2=3.6pi
4pi>3.6pi
it is MORE


1. 40pi in^3
2. 9pi in^3
3. 7.2pi in^3
4. MORE than half
 

4 0
3 years ago
Select the FOUR equations that are equivalent to 2(x+3)−2=16.
zimovet [89]

Answer:

A (x+3)−1=8open paren x plus 3 close paren minus 1 is equal to 8

C 2(x+3)=182 times open paren x plus 3 close paren is equal to 18

E 2x=122 x is equal to 12

Step-by-step explanation:

Given:

2(x+3) − 2 = 16

2x + 6 - 2 = 16

2x = 16 - 6 + 2

2x = 12

x = 12/2

x = 6

A. (x+3)−1=8

x + 3 - 1 = 8

x = 8 - 3 + 1

x = 6

B (x+3)−2=8

x + 3 - 2 = 8

x = 8 - 3 + 2

x = 7

C 2(x+3)=18

2x + 6 = 18

2x = 18 - 6

2x = 12

x = 12/2

x = 6

D x+3=9x

3 = 9x - x

3 = 8x

x = 3/8

E 2x=12

x = 12/2

x = 6

F 2x=15

x = 15/2

x = 7 1/2

8 0
3 years ago
Victor left his house riding his bike at a speed of 18mph.
amm1812

Answer:: 5 minutes or 1/12 hour

Step-by-step explanation:

4 0
2 years ago
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