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Sindrei [870]
3 years ago
14

A right triangle is given with a missing value of t. It is stated that the triangle is an acute right triangle with angles 50∘ a

nd 2t. What is a possible value of t in degrees?
Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0

Answer: t=20°


Step-by-step explanation:

1. By definition, the sum of the interior angles is 180 degrees.

2. Keeping the information above on mind, you can write the following expression:

90+50+2t=180

3. Now, you must solve for t as following:

140+2t=180\\2t=180-140\\2t=40\\t=\frac{40}{2}\\t=20

4. Therefore, the value of t is 20°


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eduard

Answer:

B. The graph has no zeros.

Step-by-step explanation:

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Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x² + 1 into the quadratic
antoniya [11.8K]
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
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Step-by-step explanation :
The given expression is,




To solve this problem we are using quadratic formula.
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Formula used :

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8 0
2 years ago
Of every 300 magic cakes Farah makes, 90 are chocolate, what percentage of chocolate cakes Farah makes?
navik [9.2K]

Answer:

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5 0
3 years ago
Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €
Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

f=20-t

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10

3. Substitute the value of "t" into the equation f=20-t and evaluate:

f=20-10\\\\f=10

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

Total=10(5)+10(10)=150

She has a total of 150€.

5 0
3 years ago
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
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