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LUCKY_DIMON [66]
4 years ago
12

Which algebraic expression is equivalent to the expression below? 9(4x + 5) + 15

Mathematics
1 answer:
Anna71 [15]4 years ago
5 0

Answer:

36x+45+15

Step-by-step explanation:

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The Columbia Tower in Seattle is 954 feet tall. The Seafirst Tower is T feet tall and d feet away from the Colombia Tower. Find
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You have to include a drawing that relates the distace between de towers and some angles.

I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.

This lets you calculate the distance between the towers, d, as

tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft

The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.

Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft

Answer: 366.29 ft


6 0
3 years ago
Endeye needs to split 1/5 of the dinner left over from last week to feed her 3 siblings. What fraction of the original dinner wi
aleksandr82 [10.1K]

Answer:

<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>

Step-by-step explanation:

<u><em>To begin, </em></u><u><em>there are 4 people</em></u><u><em>. Her siblings, and herself. She is </em></u><u><em>splitting the 1/5 leftover</em></u><u><em> to feed them. To do this, we simply </em></u><u><em>take 1/5 and put it into a fraction to get 0.2</em></u><u><em>. Next, we can </em></u><u><em>put 0.2 / 4 into a calculator</em></u><u><em> to get how much each person can get.</em></u>

<u><em>0.2 / 4 = 0.05.</em></u>

<u><em>Now, we need to </em></u><u><em>turn it into a fraction</em></u><u><em> to find out how much they had in fraction form of the original.</em></u>

<u><em>0.05 = 1/20</em></u>

<u><em>They each had </em></u><u><em>1/20 of the original meal</em></u>

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2 years ago
Can someone help me solve this? What goes in the blank?<br><br> 38 47 56 65 __ 83 92
lesya692 [45]
74 because each number is increased by 9
7 0
3 years ago
Read 2 more answers
For the following set of data, find the number of data within 1 population standard deviation of the mean. Data Frequency 15 1 1
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The mean age of the frequency distribution for the ages of the residents of a town is 43 years.
Step-by-step explanation:
We are given with the following frequency distribution below;
6 0
3 years ago
In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b
AlekseyPX

Answer:

The value of b is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

y = m\cdot x + k

Where:

x, y - Independent and dependent variable, dimensionless.

m - Slope, dimensionless.

k - y-intercept, dimensionless.

Given that line l is perpendicular to y = -\frac{2}{3}\cdot y, the slope is equal to:

m = -\frac{1}{m_{\perp}}

Where m_{\perp} is the slope of the perpendicular line, dimensionless.

If m_{\perp} = -\frac{2}{3}, then:

m = -\frac{1}{\left(-\frac{2}{3}\right) }

m = \frac{3}{2}

If x = 0 and y = -13, the y-intercept of the line l is:

-13 = \frac{3}{2}\cdot (0) +k

k = -13

The equation of the line l is y = \frac{3}{2}\cdot x -13. Given that y = b and x = 10, the value of b is:

b = \frac{3}{2}\cdot (10)-13

b = 15-13

b = 2

The value of b is 2.

5 0
3 years ago
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