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2 years ago

Hi! Can someone help me please.

Mathematics

2 answers:

Gnom [1K]2 years ago

6 0

Step-by-step explanation:

let the perpendicular length be l

$l = \sqrt{ {(45)}^{2} - {36}^{2} }$

$l = \sqrt{2025 - 1269}$

$l = \sqrt{729}$

$l = 27 \: \: inches$

Sati [7]2 years ago

4 0

Answer:

27 inches

Step-by-step explanation:

We are using the Pythagorean theorem

a^2 +b^2 = c^2 where c is the hypotenuse

We are given the diagonal, which is the hypotenuse and a leg

36^2 + b^2 = 45^2

Subtract 36^2 from each side

36^2 + b^2 - 36^2 = 45^2 - 36^2

b^2 = 45^2 - 36^2

b^2 =2025-1296

b^2 =729

Take the square root of each side

sqrt(b^2) = sqrt(729)

b =27

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-7(a - 3) = 11 - 7a<br> what’s the answer

natali 33 [55]

Answer:

the statement is false there is no solution

Step-by-step explanation:

step 1 -7(a-3)=11-7a

step 2 -7a+21=11-7a

step 3 cancel out the -7a's

step 4 you are left with 21=11 which does not work so it is false

8 0

2 years ago

In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

8 0

2 years ago

Given the triangle below, what is the measure of x to the nearest foot?

luda_lava [24]

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

8 0

2 years ago

On a piece of paper, use a protractor and a ruler to construct two equilateral triangles: one with a side length of 2 inches and

Monica [59]

Answer:

Answer:

(B)

Step-by-step explanation:

We have to construct two equilateral triangles that is one with the side length of 2 inches and the another triangle with side length of 3 inches.

Now, both the triangles are equilateral triangles, thus they have same shape.

Also, both triangles have different side lengths, one having 2 inches and another having 3 inches, thus they have different size.

Hence, the true statement about the two triangles is:

The two triangles are the same shape but not the same size.

Therefore, option B is correct.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I have 30 photos to post on my website. I'm planning to post these on two web pages, one marked "Friends" and the other marked "

Sergio039 [100]

Answer:a) 870

b) 435

Step-by-step explanation:

number of photos to be posted =n = 30

number of web pages on which they would be posted is 2

Since the order in which the photos appear on the web pages matters,

Number of ways = 30 permutation 2

=870 ways

Since the order in which the photos appear on the web pages does not matter,

Number of ways = 30 combination 2

= 435 ways

6 0

2 years ago