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Nimfa-mama [501]
3 years ago
12

A regular stained glass window is 2 feet by 4 feet. A clear glass border is constructed around the stained glass window. The wid

th of the border is equal and was made out of 7 square feet of clear glass. What is the width of the border?
Mathematics
1 answer:
alexira [117]3 years ago
6 0
Let x = width of border

Area is given to be 7 square feet or 49.

49 = (2x + 2)(2x + 4)

Solve for x.

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In one day, the stock price for Warbucks Coffee rose from $50 to $57 per share. By what percent did this stock price rise?
egoroff_w [7]

Answer:

14%

Step-by-step explanation:

1. The formula to find percent change is \frac{(V_2-V_1)}{|V_1|} * 100. Now, all we have to do is plug in the values to their corresponding variable.

2. (Solving)

  • \frac{(57-50)}{|50|} * 100
  • \frac{7}{50} *100
  • 0.14 * 100
  • 14%
7 0
3 years ago
I need help ASAP!! ​
maksim [4K]

Answer:

a d and e

Step-by-step explanation:

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8 0
3 years ago
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Solve the following equation 3x-1=2x -2/3​
algol13

Answer:

its 13

Step-by-step explanation:

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3 years ago
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Given the angles inscribed in the circle, find m ∠ DBC.
Cloud [144]

Answer:

m∠DBC = 51°

Step-by-step explanation:

<u>Circle Theorem vocabulary</u>

  • Chord: A straight line joining two points on the circle.
  • Inscribed angle: The angle formed when two chords meet at one point on a circle.
  • Intercepted arc: The arc that is between the endpoints of the chords that form the inscribed angle.

<u>Inscribed Angle Theorem</u>

The measure of an <u>inscribed angle</u> is half the measure of the <u>intercepted arc</u>.

Therefore:

\sf \implies \angle DBC=\dfrac{1}{2}\:\overset{\frown}{BC}

\sf \implies \angle DBC=\dfrac{1}{2}\:(102^{\circ})

\sf \implies \angle DBC=51^{\circ}

Learn more about the Inscribed Angle Theorem here:

brainly.com/question/27934538

brainly.com/question/27943630

6 0
2 years ago
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Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y
Anarel [89]

Answer:

P(x ≥ 30) = 0.3859

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 29, \sigma = 3.4

This probability is going to be 1 subtracted by the pvalue of Z when X = 30. So

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

Z = \frac{30 - 29}{3.4}

Z = 0.29

Z = 0.29 has a pvalue of 0.6141

1 - 0.6141 = 0.3859

So

P(x ≥ 30) = 0.3859

4 0
3 years ago
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