A ladder leans against the wall of a building. The ladder measures 66 inches and forms an angle of 45 degrees with the ground. How far from the ground, in inches, is the top of the ladder? How far from the wall, in inches, is the base of the ladder?

Answers

Answer 1

Answer:

46.67 in

46.67 in

Step-by-step explanation:

the value of the hypotenuse (length of the ladder ) is given. We are to determine the value of the opposite side (distance from the ground) and adjacent side ( distance from the wall)

(distance from the ground = sin 45 = opposite / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67

distance from the wall = cos 45 = adjacent / hypotenuse

0.7071 = x/66

x = 66 x 0.7071 = 46.67

A Ladder Leans Against The Wall Of A Building. The Ladder Measures 66 Inches And Forms An Angle Of 45

Related Questions

A university's housing and residence office wants to know how much students pay per month for rent in off-campus housing. The university does not have enough on-campus housing for students, and this information will be used in a brochure about student housing. They obtain a list of the 12,304 students who live in off-campus housing and have not yet graduated and mail a questionnaire to 200 students selected at random. Only 78 questionairres are returned. identify the types of bias

Answers

The type of bias that is used in this study is a non-response bias.

What is a Non-Response Bias?

This refers to the type of bias that is used to show the non-responsiveness of subjects in a study when they drop out or do not complete a study.

Hence, we can see that from the given narration, we can see that there is a list of the 12,304 students and from this, 200 students are selected and only 78 are returned which shows that this is a non-responsive bias.

Read more about non-response bias here:

https://brainly.com/question/14286334

#SPj2

A rental car company charges $62.47 per day to rent a car and $0.09 for every mile driven. Ariana wants to rent a car, knowing that:
She plans to drive 100 miles.
She has at most $320 to spend.

What is the maximum number of days that Ariana can rent the car while staying within her budget?

Answers

Answer:

only 11 days

Step-by-step explanation:

Select the correct solution set.

-7x ≥ 56

{x | x ≥ -8}
{x | x ≤ -8}
{x | x ≥ 8}

Answers

Answer:

{x | x ≤ -8}

Step-by-step explanation:

-7x ≥ 56

Divide each side by -7, remembering to flip the inequality since we are dividing by a negative

-7x/-7 ≤ 56/-7

x ≤ -8

It’s x _< -8

Because ur diving it by negative;))

rs 560 in the ratio of 1:3:4

Answers

Step-by-step explanation:

see in picture .

you can find your answer

Tell me answer
I will mark him or her as well done and brilliant and thank you​

Answers

Answer:

(iv) 343

Step-by-step explanation:

[tex]\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343[/tex]

Answer:

Step-by-step explanation:

1/7*x=49

x/7=49

x=49*7

x=343

Please help me solve this ;-;

Answers

9514 1404 393

Answer:

  C  log3(√((x -4)/x)

Step-by-step explanation:

The applicable rules of logarithms are ...

  log(a/b) = log(a) -log(b)

  log(a^n) = n·log(a)

The base is irrelevant, as long as all logs are to the same base.

__

  [tex]\dfrac{1}{2}(\log_3{(x-4)}-\log_3{(x)})=\dfrac{1}{2}\log_3(\dfrac{x-4}{x})=\boxed{\log_3\left(\sqrt{\dfrac{x-4}{x}}\right)}[/tex]

Which would hold more water, a cube measuring 10 inches on all edges, or a cylinder with a height of 10 inches and a diameter of 10 inches. Why? Explain.

Answers

5dgji

Step-by-step explanation:

how???? ... hope it is good

Triangle ABC has vertices A(- 3, - 4), B(16, - 2) and C(13, - 10) . Show algebraically that ABC is a right angled triangle.​

Answers

Given:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

To show:

That the triangle ABC is a right angled triangle.​

Solution:

Distance formula:

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

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

Using the distance formula, we get

[tex]AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}[/tex]

[tex]AB=\sqrt{(19)^2+(2)^2}[/tex]

[tex]AB=\sqrt{361+4}[/tex]

[tex]AB=\sqrt{365}[/tex]

Similarly,

[tex]BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}[/tex]

[tex]BC=\sqrt{73}[/tex]

And,

[tex]AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}[/tex]

[tex]AC=\sqrt{292}[/tex]

Now, add the square of two smaller sides.

[tex]BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2[/tex]

[tex]BC^2+AC^2=73+292[/tex]

[tex]BC^2+AC^2=365[/tex]

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

Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.

Hence proved.

1. The volume of the cylinder is 78 cubic cm, find the volume of the cone.

Answers

Answer:

The volume of a cylinder = 78 \mathrm{cm}^{3}78cm3

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}V=3πr2h                    (1)

The formula for volume of a cylinder is V=\pi r^{2} hV=πr2h              (2)

Substituting V=78V=78 in equation (2), we get,

\begin{gathered}\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}\end{gathered}V=πr2h78=πr2h

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h78=πr2h in equation (1)

\begin{gathered}\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}\end{gathered}V=3πr2hV=378V=26

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}26cm3 .

Answer:

26 cm^3 I hope this helps!

Step-by-step explanation:

How could I solve this equation by dividing first? 4(x+7)=40

Answers

Answer:

You could divide 4 from both sides first

( Picture Included )Help please, and don’t comment unnecessary things.

Answers

Answer:

Angle 1 and Angle 8 are alternate exterior angles.

Step-by-step explanation:

If this helps please mark as brainliest

is "6x – (3x + 8) = 16x" a no solution​

Answers

Answer:

no  x = -8/13

Step-by-step explanation:

6x – (3x + 8) = 16x

Combine like terms

6x -3x -8 = 16

3x-8 = 16

Subtract 3x from each side

3x-8-3x = 16-3x

-8 = 13x

Divide by 13

-8/13 = 13x/13

-8/13 =x

Answer:

No, the answer would be -8/13

Step-by-step explanation:

6x-(3x+8)=16x

6x-3x-8=16x

3x-16x=8

-13x=8

x=-8/13

The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.

Answers

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

Which pair of events is a dependent event?

A. rolling a 6 on a number cube and then rolling a 1 on the same number cube

B. one girl born on july 29 and another girl born on july 29 next year

C. drawing a purple card from a deck of cards then without replacement drawing another purple card

D. drawing a red button out of a bag of red and white buttons, replacing the button, and then drawing out another red button.

Answers

c is the answer

good luck  :))))

It’s C love............

ITEMS
The calculator shown costs $160.00 after a discount of $40.00 was given
Calculate the cost of the calculator before the discount​

Answers

Answer:

mp=160

dis=40

now,

sp=mp-dis

=Rs. 160-Rs.40

=Rs. 120

Use distributive property and then combine like terms to write an equivalent expression for:

4(y2 + 2) + 6x - 2y3 + 12x

Answers

Answer:

−2y3+4y2+18x+8

Step-by-step explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8

Find missing measure

Answers

Answer:

x = 40°

Step-by-step explanation:

using the angle sum theorem...

180 - 90 - 91 - 51 = 40

Answer:

Step-by-step explanation:

51+x+90+91=360(sum of four angles is always 360 degree)

232+x=360

x=360-232

x=128

Choose the correct name for the polygon.





VRUST



SRVUT



SRTUV



RSVUT

Answers

Answer:

RSVUT IS THE CORRECT ANSWER

A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?

Answers

Answer:

9 3/8 inches

Step-by-step explanation:

Inches of candle : hours it burned

= 5 inches : 4 hours

How far has it burned after 7 1/2 hours?

Let

x = how far it has burned (inches)

Inches of candle : hours it burned = x inches : 7 1/2 hours

Equate both ratios

5 inches : 4 hours = x inches : 7 1/2 hours

5/4 = x ÷ 7 1/2

5/4 = x ÷ 15/2

5/4 = x * 2/15

5/4 = 2x/15

Cross product

5 * 15 = 4 * 2x

75 = 8x

x = 75/8

x = 9 3/8 inches

x = how far it has burned (inches) = 9 3/8 inches

Helpp!! Please answer both parts of the question will mark brainliest.

Answers

Answer:

Part A. x is greater than y

Part B. y is greater than x.

Step-by-step explanation:

Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.

Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.

Item 23 Find the sale price. Original price: $50 Discount: 15% Item 23 Find the sale price. Original price: $50 Discount: 15%

Answers

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

answer fast and good

Answers

Answer:

4x=300

4y=400

y=100

x=75

6×75 =450

2×100=200

a=450

b=200

y for beef

x for vegetables

Help what does this mean please answer fast

Answers

Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to


please help will give brainlyest need help asap

Answers

Answer:

friend me on here and imma send you the link Step-by-step explanation:

A billboard is 6 meters long . One centimeter is approximately 0 .39 inch . About how long is the billboard in inches? Round to the nearest whole inch. In.

Answers

Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

Write with fractional exponents.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]y^\frac{2}{3}[/tex]

»»————- ★ ————-««  

Here’s why:  

We are supposed to rewrite a radical expression as an expression with fraction exponents.

⸻⸻⸻⸻

The rule for a fraction exponent is:

[tex]a^{\frac{x}{y}}=\sqrt[y]{a^x}\\\\\\\huge\boxed{\frac{\text{Power}}{\text{Root}}}[/tex]

⸻⸻⸻⸻

We are given the expression of [tex]\sqrt[3]{y^2}[/tex].

⸻⸻⸻⸻

[tex]\boxed{\text{Rewriting the expression:}}\\\\\sqrt[3]{y^2}\\\\\text{The '3' is the root and the '2' is the power.}\\\\\rightarrow \sqrt[3]{y^2} \\\\\rightarrow {y^{\frac{2}{3}}[/tex]

⸻⸻⸻⸻

[tex]\text{The answer should be: } \boxed{y^\frac{2}{3} }[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

which type of parent function is f(x) = 3^x?

Answers

Answer:

c

Step-by-step explanation:

because there is a 3 in front of the root it is a cubed root since

2= square- the two is invisible but its there

3= cubed

C



HOPE THIS HELPS!! Have a nice day

In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord

CD = 8 mm. Find the exact length of AB, in surd form.

Answers

Answer:

The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.

Step-by-step explanation:

Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:

[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]

If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:

[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]

[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]

please help! 20 points. if you guess or just comment to take points i will make sure ur account gets banned, thanks! i want a simple explanation pls

Answers

Answer: x=15

Step-by-step explanation: Since 3x+5 is equal to 50, you can write 3x+5=50, and 3x=45, x=15.

Fernando has two equally-sized containers of clay which he is using to build a pyramid-like structure. The finished structure will consist of four square-based, two-inch thick slabs of clay, with each slab two inches less wide than the one beneath it. Fernando has one-half of a container of clay left after forming the first two slabs. Does he have enough clay to finish the structure?

Answers

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.

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