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Lana71 [14]
3 years ago
13

Find the missing side and round the answer to the nearest tenth. Thanks.

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

Step-by-step explanation:

opp=x,hyp=10

sin 53°=\frac{x}{10}

cross multiply

sin 53° x 10 =x

0.7986 x 10=x

7.98=x

x≅ 8.0

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Marat540 [252]

Answer:

Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral

Step-by-step explanation:

All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.

DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.

Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.

Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.

4 0
2 years ago
The sum of two numbers is 80. Their difference is 22.
AVprozaik [17]

Answer:

51 + 29

Step-by-step explanation:

7 0
2 years ago
Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.
emmainna [20.7K]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use cubic regression to find a function that fits the following points.
8090 [49]

Answer:

y = 2x³ + x² - 4x + 6

Step-by-step explanation:

General formula:

y = ax³ + bx² + cx + d

If you replace point (0, 6) in the general formula, you get:

6 = a(0)³ + b(0)² + c(0) + d

6 = d

If you replace points (-1, 9), (1, 5) and (2, 18) in the general formula, you get the following system of equations:

9 = a(-1)³ + b(-1)² + c(-1) + 6

9 = -a + b - c + 6     (eq. 1)

5 = a(1)³ + b(1)² + c(1) + 6

5 = a + b + c + 6     (eq. 2)

18 = a(2)³ + b(2)² + c(2) + d

18 = 8a + 4b + 2c + 6     (eq. 3)

Adding equation 1 to equation 2:

14 = 2b + 12

(14 - 12)/2 = b

b = 1

Multiplying equation 1 by 2:

18 = -2a + 2b - 2c + 12     (eq. 4)

Adding equation 4 to equation 3, and replacing with b value:

36 = 6a + 6b + 18

36 = 6a + 6 + 18

(36 - 6 - 18)/6 = a

a = 2

Replacing a and b values in equation 1:

9 = -2 + 1 - c + 6

c = -2 + 1 + 6  - 9

c = -4

8 0
3 years ago
Read 2 more answers
in 2001 John makes an investment investment and $50,000 decreases in value of the rate of 2.5% per year write an exponential fun
VARVARA [1.3K]

Answer:

$39811.77

Step-by-step explanation:

If we put y as the unit of year, the function will be 50000x0.975^y (100%-2.5% is 97.5%). And so from 2001 to 2010, nine years has passed, so the equation will be 50000x0.975^9 And if you calculate and round the answer to the nearest hundredth (cent), you will find $39811.77.

5 0
3 years ago
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