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morpeh [17]
3 years ago
14

A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 31 units 39 units 41 units 49 uni

ts can someone help me out Brainly refuses to give me ads for me to get the answers i need and cannot afford rn.
Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

41

Step-by-step explanation:

So basically you need to use the pythagorean thrm. Essentially, the diagonal and the width and length create a triangle, the diagonal being the hypothenuse. So the formula goes as \sqrt[]{a^{2} +b^{2} }. the variable "a" being the length and the variable "b" being the width.  So plug it in and there you have your answer!

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Let f(x)=(18)3^x. find the equation of the line between the points (-2,f(-2)) and (1,f(1))
horsena [70]

\text{Given that,} \\\\f(x) = 18 \cdot 3^x \\\\f(-2) = 18 \cdot 3^{-2} = 2\\\\f(1) = 18 \cdot 3^1 = 54\\ \\\text{So,}~ (x_1,y_1) = (x_1, f(-2)) = (-2,2) ~\text{and}~ (x_2,y_2) = (x_2, f(1)) = (1,54)\\ \\\text{Slope,}~ m = \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{54-2}{1+2} = \dfrac{52}3 \\\\

\text{Equation of line,}\\\\~~~~~~~y - y_1 = m (x-x_1)\\\\\\\implies y-2 = \dfrac{52}3(x+2)~~~~~~~~~~~;[\text{Point-Slope form.]} \\\\\\\implies y-2 = \dfrac{52}3x + \dfrac{104}3\\\\\\\implies y = \dfrac{52}{3}x + \dfrac{104} 3 +2\\\\\\\implies y = \dfrac{52}3 x +\dfrac{110}3 ~~~~~~~~~~~~~~~;[\text{Slope -Intercept form}]

6 0
2 years ago
Tom worked the following hours last week but he needs to complete his timesheet in decimals
pickupchik [31]

Answer:

Monday: 7.25

Tuesday: 6.75

Wednesday: 5.2

Thursday: 6.1

6 0
2 years ago
Find the area of the figure.
andrezito [222]

Answer:

area of figure = area of rectangle + area of triangle

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area of triangle= 1/2×base×height

1/2×3×4

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3 years ago
Factor:14x3 – 21x
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7 0
3 years ago
A simple random sample of 60 items resulted in a sample mean of 65. The population standard deviation is 14. a. Compute the 95%
bazaltina [42]

Answer:

The 95% confidence interval for the population mean is between 61.5 and 68.5.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{14}{\sqrt{60}} = 3.5

The lower end of the interval is the sample mean subtracted by M. So it is 65 - 3.5 = 61.5

The upper end of the interval is the sample mean added to M. So it is 65 + 3.5 = 68.5

The 95% confidence interval for the population mean is between 61.5 and 68.5.

6 0
3 years ago
Read 2 more answers
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