What are the factors of 37, 51, and 45? i just dont get it

Please help!! I have tried it on my own and I am stuck

elena55 [62]

Answer:

1. 23.59 feet

2. 32.9°

Step-by-step explanation:

1. See the diagram attached.

The man is 11 feet distance from the bottom of the tree.

And the angle of elevation from the man to the top of the tree is 65°.

Now, we need to approximate the height of the tree,

Using the trigonometry, we can write

$\tan 65^{\circ} = \frac{\textrm {Height of the Tree}}{\textrm {Base Distance}} = \frac{h}{11}$

⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)

2. See the diagram attached.

From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.

And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.

Using trigonometry, we can write

$\cos \theta = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{21}{25}$

⇒ $\theta = \cos^{-1}(\frac{21}{25}) = 32.9^{\circ}$ (Answer)

8 0

3 years ago

Square WXYZ dilates by a factor of 1/3 with respect to the origin to create W'X'Y'Z'. If W'X' is 6 units, what is WX? *

zvonat [6]

Answer:

well you should firstcalculate the distance then divide by the primary source and you should be able to get the answer after substituting

Step-by-step explanation:

6 0

3 years ago

Combine terms/simolify

-Dominant- [34]

Answer:

$\dfrac{2m -1}{5}$

Step-by-step explanation:

Since we have common denominators inside the parentheses, we can combine the denominators. Then, we get the following expression:

$2\huge\text{(}\dfrac{1}{5} m - \dfrac{2}{5} \huge\text{)} + \dfrac{3}{5}$

$2\huge\text{(}\dfrac{m - 2}{5} \huge\text{)} + \dfrac{3}{5}$

Now, we can multiply the expression inside the parentheses by 2.

$\huge\text{(}\dfrac{2m - 4}{5} \huge\text{)} + \dfrac{3}{5}$

Since the expression inside the parentheses cannot be <u>simplified further</u>, we can open the parentheses and simplify the expression.

$\dfrac{2m - 4}{5} + \dfrac{3}{5}$

We can combine the denominators as the denominators are the same.

$\dfrac{2m - 4 + 3}{5}$

Finally, we can simplify -4 + 3.

$\dfrac{2m -1}{5}$

Therefore, the simplified expression is (2m - 1)/5.

Learn more about combining like terms: brainly.com/question/13080103

5 0

2 years ago

Find the slope of the line containing the points (1, 4) and (3, 7).

irina1246 [14]

Answer: 3/2

Step-by-step explanation:

the formula to find slope is:

m = rise/run = $\frac{y2-y1}{x2-x1}$

In this case:

m = 3/2 = $\frac{7-4}{3-1}$

6 0

3 years ago

Determine the center and radius of the following circle equation:<br> x2 + y2 – 10x + 8y + 40 = 0

antiseptic1488 [7]

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x: x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y: y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

6 0

3 years ago

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