how to solve an angle in a triangle with two sides given

Answer:

We conclude that:

Step-by-step explanation:

Given the right-angled triangle ΔUWV, it is clear that

Using the trigonometric ratio, we know that

sin Ф = opposite / hypotenuse

cosecant Ф = 1/ sin Ф

Thus,

cosecant Ф = hypotenuse / opposite

substituting Ф = U,  hypotenuse = 26 and opposite = 24

cosecant (U) = 26 / 24

cosecant (U) = 13/12

Therefore, we conclude that:

Answer:

Please find the ER model in the attachment file.

Step-by-step explanation:

Answer:

nsksnekwksnskswkwksks

Step-by-step explanation:

this is the answer of given question

The question is incomplete. Here is the complete question.

Polygon LMNPQ is shown on the coordinate grid. What is the perimeter of polygon LMNPQ?

A. [tex]2+12\sqrt{2}[/tex] units

B. [tex]7+2\sqrt{2}[/tex] units

C. [tex]10+4\sqrt{2}[/tex] units

D. [tex]12+2\sqrt{2}[/tex] units

E. [tex]12+4\sqrt{2}[/tex] units

Answer: E. [tex]12+4\sqrt{2}[/tex] units

Step-by-step explanation: Perimeter of a figure is the sum of all of its sides.

The polygon is drawn on a plane. The distance between a pair of points will give that side its measure.

Distance of two points is calculated as

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

Segment MN:

Coordinates: M (2,4) and N (5,8)

[tex]d=\sqrt{(5-2)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment ML:

Coordinates: M (2,4) and L (4,2)

[tex]d=\sqrt{(2-4)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment NP:

Coordinates: N (5,8) and P (8,4)

[tex]d=\sqrt{(5-8)^{2}+(8-4)^{2}}[/tex]

d = 5

Segment PQ:

Coordinates: P (8,4) and Q (6,2)

[tex]d=\sqrt{(8-6)^{2}+(4-2)^{2}}[/tex]

[tex]d=2\sqrt{2}[/tex]

Segment LQ:

Coordinates: L (4,2) and Q (6,2)

[tex]d=\sqrt{(6-4)^{2}+(2-2)^{2}}[/tex]

d = 2

Calculating perimeter (P):

P = MN + ML + NP + PQ + LQ

P = [tex]5+2\sqrt{2}+5+2\sqrt{2}+2[/tex]

P = [tex]12+4\sqrt{2}[/tex]

Perimeter of polygon LMNPQ is [tex]12+4\sqrt{2}[/tex] units

With the knowledge that m∠1 = 81°, let's use these relationships to find the rest of the angles:

Answer:

Step-by-step explanation:

8.5x16=136

Answer:

but I'm not sure

yes I think it is true

Answer:

48 square feet

Step-by-step explanation:

Given

Before expansion

[tex]A_1 = \frac{1}{2}bh[/tex] --- area of a triangle

[tex]A_1 = 16ft^2[/tex] --- value of the area

After the base and height were expanded, the area becomes:

[tex]A_2 = \frac{1}{2}BH[/tex]

Where

[tex]B = 2b[/tex]

[tex]H = 2h[/tex]

Substitute 2b for B and 2h for H in [tex]A_2 = \frac{1}{2}BH[/tex]

[tex]A_2 = \frac{1}{2} * 2b * 2h[/tex]

[tex]A_2 = \frac{1}{2} * 2*2*b*h[/tex]

[tex]A_2 = \frac{1}{2} * 4*b*h[/tex]

Rewrite as:

[tex]A_2 = 4 * \frac{1}{2} *b*h[/tex]

[tex]A_2 = 4 * \frac{1}{2}bh[/tex]

Recall that: [tex]A_1 = \frac{1}{2}bh[/tex]

So, we have:

[tex]A_2 = 4 * A_1[/tex]

Substitute 16 for [tex]A_1[/tex]

[tex]A_2 = 4 * 16[/tex]

[tex]A_2 = 64[/tex]

So, the area is [tex]64ft^2[/tex] after the dimensions were expanded

The area increased by:

[tex]Increment = A_2 - A_1[/tex]

[tex]Increment = 64 - 16[/tex]

[tex]Increment = 48[/tex]

It increased by [tex]48ft^2[/tex]

Answer:

86 pieces

Step-by-step explanation:

Given

[tex]Pole = 500cm[/tex]

[tex]Pieces = 5.8cm[/tex]

Required

Determine the largest number of rods

To do this, we simply divide the length of the pole by the length of each piece.

[tex]Number = \frac{Pole}{Pieces}[/tex]

[tex]Number = \frac{500cm}{5.8cm}[/tex]

[tex]Number = \frac{500}{5.8}[/tex]

[tex]Number = 86.2068965517[/tex]

Round down

[tex]Number = 86[/tex]

Answer:

The center is 4 because 4 is the value in the middle when all of the values are ordered from least to greatest.

Step-by-step explanation:

The center point lies in the middle of the data. This is the point where the midpoint of data set is located. In the given dot plot the data is in descending order and when the data is observed the middle value is 4. The middle value can be between 4 and 5 in case if the data set was observed according to class preference and frequency would have been given separately.

Answer

she worked 1 week and 1 day

Step-by-step explanation

The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues.

Answer:

Step-by-step explanation:

Answer:

(x+11)(x-11)

Step-by-step explanation:

(x+11)(x-11)

Answer:

(x+11)(x-11)

Step-by-step explanation:

If you factor it out, it works.

Answer:

Dependent

Step-by-step explanation:

because which ever coloured card you draw at first changes the probability of the second draw

Answer:

dependent

Step-by-step explanation:

the first card drawn

7(2)+7(5) {using distributive property}

14+35 {7 multiplied by 2 gives 14 and 7 multiplied by 5 gives 35}

49 {therefore 35+14 gives 49}

Answer:

36 minutes

Step-by-step explanation:

360/10=36 (percent is division of the number)

Answer:

13

Step-by-step explanation:

Have a good day

Answer:

9(6 - 4)

Step-by-step explanation:

9(6 - 4)

9 x 2 = 18

18 is your answer to the expression

hope this helps

hope this is right

Answer:

Picture pls

Step-by-step explanation:

Answer:

Need more

Step-by-step explanation:

Answer:

7/8 - 7x/9

Step-by-step explanation:

;)

Answer:

Median is 3

Mean is 2.8

Im 95% sure this is correct, though if you want to double check

To find the median you would line all the numbers in order from least to greatest, then usually I would draw lines connecting the first to the last until each is paired, if it is a single digit left over then it the median is that digit, it its two left then you add them together and divide by two for the median.

For the mean add all the numbers together and divide by the total number of numbers.

Step-by-step explanation: In your problem, we're finding the mean and median. Let's do it step-by-step.

1. To find the Median, we arrange the data in an ascending order and it's middle value. If the numbers of values is an even number (2, 4, 6, 8, 10), the median will be the average of the 2 middle numbers.

Therefore, the Median is 3.

2. The Mean is the set of numbers of the sum divided by the number of terms.

Therefore, the Mean is 2.8.