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Lubov Fominskaja [6]
3 years ago
12

Determine which of the two acute angles has a cosine of 4/5.

Mathematics
1 answer:
Montano1993 [528]3 years ago
6 0

Answer:

CosA = 4/5

Step-by-step explanation:

The acute angle with cosine of 4/5

Recall from trigonometry ;

Cosine = Adjacent / hypotenus

From the right angled triangle Given:

For angle A :

Opposite = BC = 8

Hypotenus = AC = 10

Cos A = BC / AC = 8 /10 = 4 /5

CosA = 4/5

For C :

Opposite = AB = 6

Hypotenus = AC = 10

Cos C = 6 /10 = 3 /5

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Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms. Is she correct. Please explain why
sergiy2304 [10]

Answer:

No, she is not correct

Step-by-step explanation:

Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms

To check: whether she is correct or not.

Solution:

Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.

A parallelogram is a quadrilateral in which opposite sides are parallel.

Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.

So, she is not correct.

6 0
3 years ago
Where does the line y = 3x + 5 cross the y-axis?
crimeas [40]
C: at y=5

The formula is y=mx+b (b meaning the y-intercept) so that +5 is where your y-intercept is gonna be!
7 0
3 years ago
The length of an object in feet is equal to three times its length in yards. The length of a water slide is 48 feet. Write and s
wariber [46]
Yards=x
ft=3x
48=3x
x=16
the length if the water slide in yards is 3. 3 yards
5 0
3 years ago
He sum of three consecutive integers is −369−369. find the three integers.
Alinara [238K]
N + (n+1) + (n+2) = -369
3n + 3 = -369
3n = -366
n = -122

so the three consecutive integers are : -124 ; -123 ; -122
4 0
3 years ago
A coffee company wants to make sure that their coffee is being served at the right temperature. If it is too hot, the customers
Cerrena [4.2K]

Answer:

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

Step-by-step explanation:

Data given and notation  

\bar X=70.2 represent the mean height for the sample  

s represent the sample standard deviation for the sample  

n=20 sample size  

\mu_o =765 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean i equal to 70.2, the system of hypothesis would be:  

Null hypothesis:\mu = 65  

Alternative hypothesis:\mu \neq 65  

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

For this case the value of \mu represent the parameter associated to the population (True average of cofee temperature)

3 0
3 years ago
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