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katen-ka-za [31]
4 years ago
13

Triangle ABC, ∠ B is the right angle, AB = 36 cm, and BC = 28 cm. If the similar figure DEF, DE = 9 cm what is the area of DEF?

Mathematics
1 answer:
andrezito [222]4 years ago
5 0
AB = 36 cm
BC = 28 cm

Since they are similar figures:

36/28 = 9/EF

36EF = 28*9

EF = 252/36 = 7 cm

Finding the area:

Area = 1/2 * DE * EF

Area = 1/2 * 9 * 7

Area = 31.5 cm^2
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The yearly cost y for driving a certain car is $7,800 for 10,000 miles
Licemer1 [7]

Answer:

y = 0.36x + 4200.00

15100.00 miles.

Step-by-step explanation:

If the yearly cost for driving x miles is given by y dollars then the two ordered pairs to find the linear relation between x and y are (10000,7800) and (20000,11400).

So, the equation will be

\frac{y - 11400}{11400 - 7800} = \frac{x - 20000}{20000 - 10000}

⇒ \frac{y - 11400}{3600} = \frac{x - 20000}{10000}

⇒ y - 11400 = \frac{9}{25}(x - 20000)

⇒ y - 11400 = \frac{9}{25}x - 7200

⇒ y = \frac{9}{25}x + 4200

⇒ y = 0.36x + 4200.00 ........... (1) (Answer)

Now, for y = $9636.00, from equation (1),

9636 = 0.36x + 4200

⇒ 0.36x = 5436

⇒ x = 15100.00 miles. (Answer)

6 0
3 years ago
53,000 rounded to the nearest ten thousand Is
dalvyx [7]
53,000 rounded to the nearest ten thousand is <span>50,000

</span>the number value in the ten thousandth place is 5. So, when you round a number, you look at the number before the number of the given place value. In this case, the number before the number of the given place value is 3.
Now,
when you round a number, if the number before the number of the given place value is 5 or greater than 5, you add 1 to that number, but if is less than 5, you leave it by itself. 
In this case, 3 is less than 5, So, we leave the 5 by itself. and add 4 zeros.
7 0
4 years ago
Read 2 more answers
At an assembly, 180 students sit in 9 equal rows. How many students sit in each row?
FinnZ [79.3K]

Answer:

20 students per row

Step-by-step explanation:

person per each row=180/9=20

3 0
3 years ago
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A triangle has an area of 18 square feet. The height is 6 feet. What is the length of the base (in feet)?
MAVERICK [17]

Answer:

6 because the type is v×h:2

7 0
3 years ago
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Melanie buys 6 pounds of beef and 3 pounds of bacon. She pays a total of $63,
kupik [55]

Answer:

Cost of 1 beef= $7.5

Cost of 1 bacon= $6

Step-by-step explanation:

Ok so first of organize everything:

We know she buys 6 pounds ->beef and 3 pounds ->bacon

First we need to set up an equation of how much 1 beef costs and 1 bacon costs:

Let’s say f=cost of 1 beef and b=cost of 1 bacon

Now lets make the equation:

6f+3b=63. (She buys 6 portions of beef and 3 bacon and her total comes out to 63)

Now their is another condition that the cost of one bacon is -$1.50 per pound than beef.

So we can say b=f-1.50

Do you notice anything similar? The b has a value now and so we can replace the b in our first equation with the b of the 2nd (b=b)

So hence,

6f+3(f-1.50)=63

6f+3f-4.5=63

9f=67.5

F=7.5 (This is the cost for 1 pound of beef)

Now lets find out for bacon,. Now instead of doing this equation all over again just insert it into the b=f-1.5 you know make life easier for yourself:

B=7.5-1.5

B=6

Cost of 1 beef= $7.5

Cost of 1 bacon= $6

4 0
3 years ago
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