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Brut [27]
3 years ago
6

A firetruck pulls up next to a burning building that is 25 ft away the ladder operator extends the ladder at a 35 degree angle h

ow long is the ladder when it reaches the building

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
Here u go I drew a diagram to help u visualise

Answer is 30.53 cm

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Hannah and Dawson have both invested money in savings accounts with APYs of 3.2%. If Hannah's account has a balance of $31,000 a
9966 [12]

Answer:

$341.07

Step-by-step explanation:

Hanna and Dawson both invested at 3.2% = 0.032

Hannah has balance of 31,000 in account

Dawson has balance of 42000 in account

Interests earned by both are

1)Hannah -P(1+i)^-n

=31000(1+0.032)^-1

=31000(1.032)^-1

=31000(0.968992)

=$30038.752

=$30038.75

Interest earned by Dawson is $31,000 - $30038.75 = $961.25

2)Dawson-  P(1+i)^-n

=42000(1+0.032)^-1

=42000(1.032)^-1

=42000(0.968992)

=$40697.664

=$$40697.664

Interest earned by Dawson is $42,000 - $40697.66= $1302.32

3) Hence the amount that Dawson earns than is:

=$1302.32-$961.25

= $341.07

3 0
3 years ago
Two sequences have the formulae 3n - 1 and 7n + 2. A new sequence is formed by the numbers which appear in both of these. Determ
Sonja [21]

Answer:

Two sequences have the formulae 3n-1 and 7n+2 . A new sequences is formed by the number which appear in both of these sequences.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
A set of bivariate data was used to create a least squares regression line. Which of the following is minimized by the line
77julia77 [94]

Answer:

B) The sum of the squared residuals

Step-by-step explanation:

Least Square Regression Line is drawn through a bivariate data(Data in two variables) plotted on a graph to explain the relation between the explanatory variable(x) and the response variable(y).

Not all the points will lie on the Least Square Regression Line in all cases. Some points will be above line and some points will be below the line. The vertical distance between the points and the line is known as residual. Since, some points are above the line and some are below, the sum of residuals is always zero for a Least Square Regression Line.

Since, we want to minimize the overall error(residual) so that our line is as close to the points as possible, considering the sum of residuals wont be helpful as it will always be zero. So we square the residuals first and them sum them. This always gives a positive value. The Least Square Regression Line minimizes this sum of residuals and the result is a line of Best Fit for the bivariate data.

Therefore, option B gives the correct answer.

5 0
3 years ago
Read 2 more answers
Find the missing dimension. Use the scale factor 1 : 12. <br> x is 21 cm
Rudik [331]

Answer:

x=7/4

Step-by-step explanation:

Tell me if you need an explanation

8 0
3 years ago
Read 2 more answers
Look at the pattern below.
valentinak56 [21]
You could do 33, 36, 39, 42
5 0
3 years ago
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