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3 years ago

The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.

Mathematics

1 answer:

olasank [31]3 years ago

4 0

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

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Jenny walked a total of 15.6 miles in 3 days. She walked the same distance

Rom4ik [11]

Answer: 36.4

Explanation:

First, you have to find how much she walked in one day(15.6/3)

which is 5.2. Then, multiply 5.2 by 7 and you get 36.4.

5 0

3 years ago

How many terms are in this expression?<br><br> x + 10x + 4y − 2y

saveliy_v [14]

Answer: 4

Explanation: The terms are x, 10x, 4y, 2y

7 0

3 years ago

A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 60 cmys. Find the rate at which th

storchak [24]

Answer:

a) $t = 1\,s$ , $\dot A \approx 22619.467\,\frac{cm^{2}}{s}$ , b) $t = 3\,s$ , $\dot A \approx 67858.401\,\frac{cm^{2}}{s}$ , c) $t = 5\,s$ , $\dot A \approx 113097.336\,\frac{cm^{2}}{s}$ . The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

Step-by-step explanation:

The area of a circle is described by the following formula:

$A = \pi \cdot r^{2}$

Where:

$A$ - Area, measured in square centimeters.

$r$ - Radius, measured in centimeters.

Since circular ripple is travelling outward at constant speed, radius can be described by the following equation of motion:

$r (t) = \dot r \cdot t$

Where:

$\dot r$ - Speed of the circular ripple, measured in centimeters per second.

$t$ - Time, measured in seconds.

The rate of change of the circle is determined by deriving the equation of area and replacing radius with the function in terms of the speed of the circular ripple and time. That is to say:

$\dot A = 2\cdot \pi \cdot r \cdot \dot r$

$\dot A = 2 \cdot \pi \cdot \dot r^{2}\cdot t$

Where:

$\dot A$ - Rate of change of the circular area, measured in square centimeters per second.

$\dot r$ - Speed of the circular ripple, measured in centimeters per second.

$t$ - Time, measured in seconds.

If $\dot r = 60\,\frac{cm}{s}$ , then:

a) $t = 1\,s$

$\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (1\,s)$

$\dot A \approx 22619.467\,\frac{cm^{2}}{s}$

b) $t = 3\,s$

$\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (3\,s)$

$\dot A \approx 67858.401\,\frac{cm^{2}}{s}$

c) $t = 5\,s$

$\dot A = 2\cdot \pi \cdot \left(60\,\frac{cm}{s} \right)^{2}\cdot (5\,s)$

$\dot A \approx 113097.336\,\frac{cm^{2}}{s}$

The rate at which the area within the circle is increasing linearly inasmuch as time passes by.

6 0

4 years ago

I dont under stand what 5/8 - 2/4

shusha [124]

To begin you have to find a common denominator between the two fractions. In this case that number is 8 because 4 is a factor of 8.

2/4 * 2 is basically 2*2 over 4*2 = 4/8

From there simply subtract the numerators

5/8 - 4/8 = 1/8

So 1/8 will your final answer.

6 0

3 years ago

4x2 is the GCF of this polynomial.

defon

Answer: 24x2y

Hope this helps(:

6 0

3 years ago

Read 2 more answers