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4 years ago

What is the supplementary angle to 69 degrees

Mathematics

2 answers:

jeyben [28]4 years ago

7 0

Supplementary angles add up to 180 degrees so by doing 180-69 we know that the supplementary angle is 111 degrees

Brut [27]4 years ago

5 0

Let , the supplementary angle be x

then,

x + 69 = 180

x = 180 - 69

x= 111 degrees

so the supplementary angle of 69 degrees is 111 degrees

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What do ratios compare

lesantik [10]

In mathematics, a ratio indicates how many times one number contains another. ... When two quantities are measured with the same unit, as is often the case, their ratio is a dimensionless number. A quotient of two quantities that are measured with different units is called a rate.

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3 years ago

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Find three consecutive even integers such that the sum of the squares of the first two is four less than twice the square of the

velikii [3]

Answer:

the three consecutive even integers are -2, 0, 2

Step-by-step explanation:

Let the first even integer = n

Let the second even integer = n + 2

Let the third even integer = n + 4

From the given statement, we form the equation below

(n²) + (n + 2)² + 4 = 2(n + 4)²

Expand this equation;

n² + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)

n² + n² + 2n + 2n + 4 + 4 = 2(n² + 4n + 4n + 16)

2n² + 4n + 8 = 2(n² + 8n + 16)

2n² + 4n + 8 = 2n² + 16n + 32

collect like terms together;

2n² - 2n² + 4n - 16n = 32 - 8

- 12n = 24

-n = 24/12

-n = 2

n = -2

Second integer = n + 2

= -2 + 2 = 0

Third integer = n + 4

= -2 + 4

= 2

Therefore, the three consecutive even integers are -2, 0, 2

6 0

3 years ago

In science class, Logan estimates the volume of a sample to be 42 mL. The actual volume of the sample is 48 mL. Find the percent

galina1969 [7]

Answer:

Percent of error of Logan's Estimate is 12.5%

Step-by-step explanation:

Given:

Actual Volume of sample =48 mL

Estimated Volume of sample = 42 mL

We need to find the percent errors of Logan estimate.

To calculate percent of error below are the steps.

Step 1: Subtract the Actual value from the estimated value.

Step 2: Take the absolute value of step 1

Step 3: Divide that answer by the Actual value.

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

Now Substituting the values we get;

Step 1: To Subtract Actual Volume with Estimated Volume

Estimated Volume of sample - Actual Volume of sample = 42 - 48 = -6 mL

Step 2: Find Absolute value we get;

$|-6| = 6$

Step 3 : Divide that answer by the Actual volume.

$\frac{6}{48}=0.125$

Step 4: Multiply that answer by 100 and add the % symbol to express the answer as a percentage.

$0.125\times 100 = 12.5\%$

Hence Percent of error of Logan's Estimate is 12.5%

5 0

4 years ago

A Sprinter sprints at 8.0m/s. A cyclist rides at 20km/h. Who is faster? Show your workings clearly.

Nina [5.8K]

Answer:

The sprinter

Step-by-step explanation:

Change cyclist to same units as sprinter (m/s)

20 km = 20x1000 m = 20000 m

1 hour = 60 minutes = 60 x 60 = 3600 sec

So 20 km/hr = 20,000 m / 3600 sec = 5.6 m/s

The sprinter is faster as he travels at 8 m/s.

(Similarly if you change the sprinter's speed into km/hr

you should get 28.8 km/hr)

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3 years ago

Use the zero product property to find the solutions to the equation x^2-15x-100=0

7nadin3 [17]

Answer:

$x = 20$ or $x = -5$

Step-by-step explanation:

To solve the quadratic equation we must factor the expression

Look for 2 numbers that when you multiply them, obtain the result -100 and when you add them, obtain the result -15.

You can verify that these numbers are -20 and 5

$-20 +5 = -15\\\\-20 * 5 = -100$

Then the polynomial factors are

$(x-20) (x + 5) = 0$

The zero product property says that if two terms $a * b = 0$ then

$a = 0$ or $b = 0$

$(x-20) = 0$ or $(x + 5) = 0$

$x = 20$ or $x = -5$

6 0

4 years ago

Read 2 more answers