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Harman [31]
3 years ago
11

Find the area of triangle ABC. Give your answer correct to 1 decimal place AC=7 Cb=12 a=72 degrees b=59 degrees

Mathematics
1 answer:
Tems11 [23]3 years ago
3 0

Answer:

31.7 cm²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \frac{1}{2} absinC

where a, b are the 2 sides given and C the angle between them

∠ C = 180° - (72 + 59)° = 180° - 131° = 49° , thus

A = 0.5 × 12 × 7 × sin49° ≈ 31.7 cm² ( to 1 dec. place )

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Find the volume of a sphere with radius 15 <br> Using the formula in the picture
telo118 [61]

Answer:

in terms of pi: 4500π units^3

decimal: 14137.16694 units^3 (ROUND TO THE NEAREST DECIMAL POINT BASED OFF OF THE QUESTION PROMPT!)

Step-by-step explanation:

FOR “IN TERMS OF PI” =

V = (4/3) (π) (15^3)

V = (4/3) (π) (3375)

V=4500π

FOR ACTUAL DECIMAL=

V = (4/3) (π) (15^3)

V = (4/3) (π) (3375)

V=4500π

V= 14137.16694 units^3

hope this helps! :)

(please mark brainliest if you can! ty :D)

4 0
3 years ago
A rectangular garage is 12 yards long and 8 yards wide. It costs $1.00 per square yard to put in a new concrete floor. How much
Sav [38]
<h3>Answer:  96 dollars</h3>

===========================================================

Explanation:

Compute the area to get 12*8 = 96 square yards

We can think of it like having 96 squares and each square costs $1. So naturally the total cost is 96*1 = 96 dollars.

4 0
3 years ago
A ball is thrown from an initial height of 2 meters with an initial upward velocity of 20 m/s. The ball's height h (in meters) a
vovangra [49]
So 12 = 2 + 20t -5t^2

5t^2 -20t + 10=0

t^2 -4t + 2 = 0

Use quadratic formula to solve
6 0
3 years ago
Write a real-life word problem that corresponds to the equation below.
ella [17]

The real life problem that corresponds to the equation will be "The area of a farmer's square garden is 144 square feet. What is the length of the garden?"

<h3>How to solve the equation</h3>

A real-life word problem that corresponds to the equation x² = 144 will be that the area of a farmer's square garden is 144 square feet. What is the length of the garden?

In this case, the length of the garden will be the square root of 144. This will be calculated thus:

x² = 144

x = ✓144

x = 12

Therefore, the length of the garden is 12 feet.

Learn more about equations on:

brainly.com/question/13763238

7 0
3 years ago
If y=8 when x=4 find y when x=5
djyliett [7]

Answer:

y = 10 when x = 5

Step-by-step explanation:

When x = 4, y = 8

Simplify. Divide 4 from both x and y

x = 4/4 = 1

y = 8/4 = 2

when x = 1, y = 2

Next, solve for when x = 5. Mutliply 5 to both x and y

x = 1 * 5 = 5

y = 2 * 5 = 10

y = 10 when x = 5

~

7 0
3 years ago
Read 2 more answers
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