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2 years ago

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]2 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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The formula F = 1.8C + 32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equat

Slav-nsk [51]

Answer:

The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:

$C=\frac{F-32}{1.8}$

Step-by-step explanation:

Given formula:

$F=1.8C+32$

where $F$ represents temperature in Fahrenheit and $C$ represents temperature in Celsius.

To solve the equation for $C$ .

Solution:

We have,

$F=1.8C+32$

Subtracting both sides by 32.

$F-32=1.8C+32-32$

$F-32=1.8C$

Dividing both side by 1.8

$\frac{F-32}{1.8}=\frac{1.8C}{1.8}$

$\frac{F-32}{1.8}=C$

∴ $C=\frac{F-32}{1.8}$

Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.

6 0

3 years ago

One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh

Arte-miy333 [17]

Answer:

Each shelter would get 121 blankets

And there would be 5 blankets left over

Step-by-step explanation:

One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?

From the above question

7 local shelters = 852 blankets

1 local shelters = x blankets

Cross Multiply.

7x = 852 blankets

x = 852 blankets/7

x = 121 5/7 blankets

Therefore, Each shelter would get 121 blankets

And there would be 5 blankets left over

7 0

2 years ago

Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or inte

Bezzdna [24]

Answer:

Slope = -7/2

Step-by-step explanation:

The standard equation of a line is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the equation y = -7/2 x - 5/8

Compare with the general equation

mx = -7/2x

Divide both sides by x

mx/x = -7x/2x

m = -7/2

Hence the slope of the line is -7/2

8 0

2 years ago

Whats TWO expressions that are equal to 2(3j+ 5 + 6j). REMEMBER I NEED TWO. ANSWER GETS BRAINLEST, 10 POINTS, 5 STARS, AND A THA

attashe74 [19]

Answer: I hope this helps!!!

Step-by-step explanation:

Phrase 1: 18j+10

Phrase 2: 2(9j+5)

4 0

3 years ago

Read 2 more answers

A bag contains 6 red tiles, 8 blue tiles, and 6 green tiles. A tile is drawn, the color recorded, and then the tile placed back

tester [92]

Answer:

9 red tiles

Step-by-step explanation:

Total number of tiles: $6+8+6=20$

Total number of red tiles: $6$

Probability of getting red in one draw: $\frac{6}{20}=0.3$

This means that you would expect to get red $0.3$ or 30% of the times.

Hence, when you draw tiles 30 times from the bag, you would expect red to be picked 30% of 30 times. This is:

$0.3*30=9$

So, you would expect to draw a red tile from the bag 9 times.

3 0

3 years ago