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maw [93]
4 years ago
11

Find the area of ΔDEF to the nearest tenth. ANSWERS: A) 127.8 square units B) 46.5 square units C) 63.9 square units D) 23.3 squ

are units

Mathematics
1 answer:
Elina [12.6K]4 years ago
5 0

Answer:

C) 63.9 square units

Step-by-step explanation:

From the above diagram, we can see that the triangle has 2 sides and and angle

The formula for the area of a triangle that has 2 sides and an angle = 1/2absinθ

θ = 70°

a = DE = 8 units

b = EF = 17 units

Area of ΔDEF = 1/2 × 8 × 17 × sin 70°

Area of ΔDEF = 63.9 square units.

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Question 13
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

Here in this question , we are interested in calculating the total distance covered by the train in the 10 minutes that it ran.

From the first part of the question, we already know the distances in the first 5 minutes.

Now, to calculate the total distance in the second 5 minutes, we use the distance formula since we have the average speed and the time;

Mathematically; Total distance = average speed * time

From the question, average speed is 33km/h, while time is 5 minutes. To achieve a consistent unit, we convert 5 minutes to hours.

That would be 5/60 = 1/12 hours

So the total distance in the second 5 minutes is;

33 * 1/12 = 2.75 km

Now, to calculate the total distance traveled, let’s add up the distances in the first 5 minutes and convert to kilometers;

That would be;

68 + 127 + 208 + 312 + 535 = 1,250 m

Let’s convert this to km.

We simply divide by 1000 = 1250/1000 = 1.25 km

The total distance is thus ;

1.25 + 2.75 = 4 km

4 0
3 years ago
Ten less the quotient If number and 3 is 6
Anastasy [175]

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

    + x/3      +x/3

10 = x/3 +6

-6              - 6

3 × 4=(x/3) × 3

12 = x

5 0
3 years ago
Read 2 more answers
Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay
abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=6.5\%=\frac{6.5}{100}=0.065

t=\text{141 days}=\frac{141}{365}\text{ year}

A=\$78001+0.065\times \frac{141}{365})

A=\$7800(1+0.065\times 0.38630136986)

A=\$7800(1+0.025109589041)

A=\$7800(1.025109589041)

A=\$7995.85479

A\approx \$7995.85

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0
3 years ago
Need to know the answer I don't get it
Svetllana [295]
The first two are alike because you have to add 3 to each side for everything to come out even.
4 0
3 years ago
Please help ASAP 25 pts + brainliest to right/best answer
Whitepunk [10]
The answer seems to be D!!
4 0
3 years ago
Read 2 more answers
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