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elena55 [62]
3 years ago
10

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

Mathematics
2 answers:
BaLLatris [955]3 years ago
4 0

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x

Using a calculator x would be about 8.4

inysia [295]3 years ago
4 0

Answer:

Step-by-step explanation:

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svlad2 [7]
I belive what you have to do is substitute the x with the numver given on the left, so the first one would be -3-13 which is -16, so then that means y= -16 , so the ordered pair would be (-3,-16)
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4 0
4 years ago
I need help filling the boxes<br><br>please i need it asap​
faltersainse [42]

Answer:

m = 3/2

b = 0

y = 3/2x

Step-by-step explanation:

M is the slope, which is the rise/run of a line.

Using this, we know m is 3/2.

B is the y-intercept, which is where the line crosses the y-axis. In this case, B equals 0.

We use this information to put together our final equation of y= 3/2x (since B equals 0, there is no + or - after the slope)

6 0
3 years ago
A square piece of paper has an area of x2 square units. A
Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

5 0
4 years ago
You invest $1,250 in a stock. The value of the stock goes up 3.2% and you sell it. How much money did you make?
suter [353]

Answer:

$1290

Step-by-step explanation:

1250x3.2%=40

1250+40=1290

4 0
3 years ago
Read 2 more answers
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviati
DochEvi [55]

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

4 0
3 years ago
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