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3 years ago

Pythagorean Theron can someone help me solve this

Mathematics

1 answer:

horsena [70]3 years ago

3 0

So you need to make out the lengths for the triangle. For the height, you can subtract the short length (100) from the longer length (1250) to get the height of the triangle. The base is the length at the very top, 75. So right now you have 150 for height and 75 for the base. Now use the formula to get 75 root 5.

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16. Solve for C: 6c - 1 - 4c = -49

lesantik [10]

Answer:

c = -24

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Step-by-step explanation:

Step 1: Define

6c - 1 - 4c = -49

Step 2: Solve for c

Combine like terms: 2c - 1 = -49
Isolate c term: 2c = -48
Isolate c: c = -24

7 0

2 years ago

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

3 years ago

A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m

Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0

3 years ago

Solve for x and y. Geometry

Otrada [13]

Answer:

x =106.5

y = 73.5

Step-by-step explanation:

Angle x is 1/2 arc SPQ

x = 1/2(98+115)

x = 1/2(213)

x =106.5

We know that x+y = 180 since this is an inscribed quadrilateral in a circle

x+y=180

106.5 +y =180

Subtract 106.5 from each side

106.5-106.5 +y =180-106.5

y = 73.5

4 0

3 years ago

A pentagon has a perimeter of 50. If every side is halved, what is the new perimeter?

vivado [14]

A
5/4 is 12.5
12.5/2 is 6.25
6.25*4 is 25

7 0

3 years ago