A ladder is leaned against a wall that is six feet tall, so that the top of the ladder is resting on the top
of the wall. The ladder is inclined at an angle of thirty degrees. Find the distance from the bottom of
the ladder to the base of the wall. Round your answer to the nearest tenth of a foot. Do not include
units in your answer.

Answers

Answer 1

Answer:

[tex]10.4[/tex]

Step-by-step explanation:

The ladder leaning against the wall forms a right triangle with the wall and the ground. Therefore, we can use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is distance between the bottom of the ladder to the base of the wall:

[tex]\tan 30^{\circ}=\frac{6}{x},\\x=\frac{6}{\tan 30^{\circ}},\\x\approx \boxed{10.4}[/tex].


Related Questions

help me please send me the solutions not only the answer kindly write and. send if possible in my whatsap no. (eight 017000 nine five zero)​

Answers

Answer: It will be set: a), e), g)

Step-by-step explanation:

In order to form a triangle then the sum of its angles has to be equal to 180 degrees. In order to find out if it’s possible to form a triangle from a specific set of angles, then you have to add them up and see if they are equal to 180 degrees. If they are then it’s a triangle if they less than or greater than 180 then a triangle cannot he formed.

This triangle-based oblique pyramid has a volume of 13 cm 9 cm 4 cm 3 cm What is the height h of the pyramid?​

Answers

Answer:

6.5

Step-by-step explanation:

Answer:

6.5 centimeters (proof below!)

Step-by-step explanation:

Fill in the blanks with one of the options below.


Given


Reflexive Property of Congruence


Definition of a Midpoint


Definition of an Equilateral Triangle

Answers

Answer:

4 ) reflexive property of congrunce

5 ) Definition of Equilateral Triangle

Step-by-step explanation:

4) the lines are equal to each other

5) if one triangle is equal to another triangle than they must be the same triangle

A deck of 52 cards is spread out face down on a table. You randomly choose one card. What is the
likelihood you will choose the three of hearts?

Answers

Answer:

1/52 OR 0.01923076923 (unusual)

Step-by-step explanation:

So, since it is only asking for 1 card and there is 52 cards in a deck, you have a in 52 chance to pick that card.

Hope that helps!

Help meeeee I neeeedd this ASAP please

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

choice 4) all of the angles are supplementary to each other since any two added together = 180°

Step-by-step explanation:

If the mass of an object is 50Kg and the acceleration is 2 m/s what is the force?

Answers

Answer:

Check pdf

Step-by-step explanation:

Select all the equations that have no solution and state your reasoning as of "why" they do not have a solution. +6=5+ x+6=5+x −2(−3)=-2+6 −2(x−3)=-2x+6 4−4=3+2 4−4x=3x+2 4(+1)=3(+2) 4(x+1)=3(x+2) 5−3=-3+4 5−3x=-3x+4

Answers

Equations:

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Answer:

[tex]x+6=5+x[/tex]

[tex]5-3x=-3x+4[/tex]

Step-by-step explanation:

Given

[tex]x+6=5+x[/tex]

[tex]-2(x-3)=-2x+6[/tex]

[tex]4-4x=3x+2[/tex]

[tex]4(x+1)=3(x+2)[/tex]

[tex]5-3x=-3x+4[/tex]

Required:

Which have no solution

[tex]x+6=5+x[/tex]

Subtract x from both sides

[tex]x -x+6 = 5 + x - x[/tex]

[tex]6 = 5[/tex]

[tex]x+6=5+x[/tex] has no solution because [tex]6 \ne 5[/tex]

[tex]-2(x-3)=-2x+6[/tex]

Open bracket

[tex]-2x + 6 = -2x + 6[/tex]

Both sides are equal.

Hence, there is an [tex]Infinite\ Number[/tex] of Solutions

[tex]4-4x=3x+2[/tex]

Collect like terms

[tex]-3x - 4x = 2 - 4[/tex]

[tex]-7x = -2[/tex]

Solve for x

[tex]x = \frac{-2}{-7}[/tex]

[tex]x = \frac{2}{7}[/tex] --- This has a solution

[tex]4(x+1)=3(x+2)[/tex]

Open brackets

[tex]4x + 4 = 3x + 6[/tex]

Collect like terms

[tex]4x-3x = 6 - 4[/tex]

[tex]x = 2[/tex] --- This has a solution

[tex]5-3x=-3x+4[/tex]

Add 3x to both sides

[tex]5 - 3x + 3x = -3x + 3x + 4[/tex]

[tex]5 = 4[/tex]

[tex]5-3x=-3x+4[/tex] has no solution because [tex]5 \ne 4[/tex]

I need help ASAP please

Answers

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{3}{c}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

c = 3[tex]\sqrt{2}[/tex]

what is 40% off of $400.00

Answers

40% off of $400 is 240

Answer:

$240

To find 40% of $400:

40% (or .4) • $400 = $160

**$160 is 40% of 400**

To find 40% **OFF** of $400:

$400 - $160 = $240

If a = 24 ft, b = 31 ft, and c = 37 ft, what is the area of the backyard? help me

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 27528 ft^3

Explanation:

24 x 31 x 37 = 27528

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

the weight of 65 books is 13 kg what is the weight of 80 Such books​

Answers

Divide 13 by 65 to get the mass of one book and then multiply that by 80

4) What is the measure of the intercepted arc with a central angle of 72®?

Answers

Answer:

EGQ ERKNG BQEG'QERJ

Step-by-step explanation:

The equation that describes the relationship is y =

Answers

I just need point tbh so thanks !!

Answer:

Y=4/6X ( or u can write it as Y=1.5X) .

Hope it was helpful for you .

Does 5/8 and 12/20 form a proportion

Answers

no it doesn’t form a proportion

Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.

A) 59 in

B) 29.5 in

C) 19.2 in

D) 554.3 in

Answers

Answer:

Sorry, I can't complete this without knowing the radius, or diameter.

Step-by-step explanation:

6
5
-3 -2 -1
2 3 4 5 6
-2
-3
Equation:

Answers

Answer:

y=3x+2

Step-by-step explanation:

The next math test will contain 50 questions. Some will be worth three points while the rest will be worth six points. If the test is worth 195 points, how many questions are worth three-points and how many worth six-points?

Answers

Explanation is in the file

tinyurl.com/wpazsebu

The no of three-pointer questions is 35 and the no of six-pointer questions is 15.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given:

The total no of questions = 50,

The total marks in the test = 195.

According to the question, the equation will be,

3x + 6y = 195 and x + y = 50

Here, x is the no of three mark question and y is the no of six marks question.

Solve the equation by elimination method, and we get,

x = 35 and y = 15

Therefore, the no of three-pointer questions is 35 and the no of six-pointer questions is 15.

To know more about equation:

https://brainly.com/question/12788590

#SPJ5

help me plzzzzzzzzzzzzzzzzzzz

Answers

Answer:

-5

Step-by-step explanation:

1*1=1

1-6= -5

Hope this helped!

Brooke watched 1/3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1/5 of the movie left to watch. How much of the movie did Brooke watch at night?

Answers

Answer:

.466666666 or 46.66666% (the 6s go on forever)

Step-by-step explanation:

1/3 + 1/5 = 53.33333%

1 - .53 = 46.66666% is how much she watched last night

I think 2/15 is how much she watched at night

In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle

Answers

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

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

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

What is the length of the circumference of a hula hoop with a diameter of 32 inches?

Use π = 3.14 in your calculations.

1Points
A
16 in

B
100.48 in

C
200.96 in

D
803.84 in

Answers

Answer:

B

Step-by-step explanation:

C = πd = 3.14 * 32 = 100.48in

Which of the following statements is FALSE about the circumference of a circle?
PLEASE HELP

Answers

Answer: It's C=πr2

Step-by-step explanation: I took the test

WILL GIVE BRAINLIEST

Answers

The Answer is B, they started off by getting the variable alone on one side and did simple math from there, taking the correct steps

Gary's supply box contains 5 pencils, 6 pens, 3 glue sticks and 1 marker.
Gary reaches into the box and randomly selects 1 item. He replaces it and
the randomly selects another item. What is the probability that Gary
selects a glue stick both times? *
01/25
1/30
O 1/18
O 3/4
Plz help me

Answers

Answer:

1/25

Step-by-step explanation:

You have to add all of the supplies.

5 pencils + 6 pens + 3 glue sticks + 1 marker = 15 supplies

Put 3 over 15, since fractions are part over whole.

Now you have to simplify 3/15, which is 1/5.

Then you multiply 1/5 by 1/5 since he is trying twice, and this will give you 1/25.

Lia brought 21 shirts and plants. Her total was $357. Pants cost $25 each, and shirts cost $14.50 each. How many of each item did she buy? Show your work
Will give points

Answers

Answer:

x=5 and y=16

Step-by-step explanation:

x = number of pants

y = number of shirts

Set up equations:

25x + 14.5y = 357x + y = 21

Set the equations up as a system:

25x+14.5y=357

x+y=21

Steps:

Solve the system by substitution.

(You can also solve this system by elimination.)

25x + 14.5y=  357

x + y = 21

Step 1: Solve x+y=21 for x:

(x + y) − y = (21) − y(Subtract y from both sides)

x = −y + 21

Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:

25x + 14.5y = 357

25(−y + 21) + 14.5y = 357

−10.5y + 525 = 357 (Simplify both sides of the equation)

(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)

−10.5y =  −168

−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)

y = 16

Step 3: Substitute 16 for y in x = −y + 21:

x = −y + 21

x = −16 + 21

x = 5 (Simplify both sides of the equation)

Answer:

x=5 and y=16

can someone pls help me

Answers

Answer:

+/-11

Step-by-step explanation:

It's plus or minus eleven

Ariane feeds her kitten kkk grams of food 222 times in the morning and 222 times in the evening. She feeds her dog ddd grams of food 111 time in the morning and 111 time in the evening.
Which expressions can we use to describe how many grams of food Ariane feeds her animals per day?
Choose 2 answers:

Answers

Answer:

The required expression is,

4k + 2d

Step-by-step explanation:

Given,

She feeds her kitten k gram of food,

She feeds 2 times in the morning,

⇒ Food fed in morning = 2k,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = 2k,

So, the total food she gives to her kitten = 2k + 2k = 4k,

Now, She feeds her dog d gram of food,

She feeds 1 times in the morning,

⇒ Food fed in morning = d,

Also, she feeds 2 times in the evening,

⇒ Food fed in evening = d,

So, the total food she gives to her dog = d + d = 2d,

Hence, the total food she feeds to her animal in a day = 4 k + 2 d

Which expression is equivalent to -28 x 2 + 35 x ?

Answers

Answer:

35+28=31

Step-by-step explanation:

PLEASE SOMEONE!!HELP!! I need the answer right now

Answers

Answer:

m = -1, b = 5.

Step-by-step explanation:

We can find the slope, m, by plugging in our coordinates into the slope formula: [tex]\frac{y2-y1}{x2-x1} =\frac{2-7}{3-(-2)}=\frac{-5}{5}=-\frac{5}{5}=-\frac{1}{1}=-1[/tex]. That gives us the slope. Now we can fill that in the slope intercept formula: [tex]y=-1x+b[/tex]. We know one of the coordinates and the slope, which allows to find the y-intercept. We know that for every 1 unit down on the line, we move 1 unit right, and vice versa. Meaning we can just count down (or up in this case), so, (-2, 7), (-1, 6), (0, 5). Therefore, our y intercept is 5.

Which characteristics best describe an acute isosceles triangle

Answers

Answer:

answer is A i and iv

two sides meet at 90°

two sides are equal in lenght

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