An 8 Foot ladder leans against a building. I'd the ladder makes an angle of 60° with the ground, how far up the wall does the ladder reach? Also, how far from the building is the base of the ladder? round to the nearest 10th

Answers

Answer 1

9514 1404 393

Answer:

up the wall: 4√3 ft ≈ 6.9 ftalong the ground: 4 ft

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Since the hypotenuse of this triangle is 8 feet, the multiplier of these ratio values is (8 ft)/2 = 4 ft.

The triangle sides are ...

  4 ft : 4√3 ft : 8 ft

The ladder reaches 4√3 ≈ 6.9 ft up the wall. Its base is 4 ft from the building.


Related Questions

prove it if you know
(please no spam answers)​

Answers

Answer:

....ans

hope it helps you

hope this help you

have a great day

Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.

Answers

Answer:

SA = 664 in.²

Step-by-step explanation:

Surface area of the rectangular prism = 2(LW + LH + WH)

Where,

Length (L) = 16 in.

Width (W) = 5 in.

Height (H) = 12 in.

Substitute the values

Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)

= 2(80 + 192 + 60)

= 2(332)

= 664 in.²

(√0,04-√(-1,2)²+√121)×√81

Answers

Answer:  90

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} (\sqrt{0,04}-\sqrt{(-1,2)^2}+\sqrt{121 } ) \cdot \sqrt{81} = \\\\\\(0,2-1,2+11)\cdot 9=(11-1)\cdot 9=90[/tex]

Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.

Answers

Answer:

r = 13.33

Step-by-step explanation:

d = k*r*t

Where,

k = constant of proportionality

d = 110 when r = 55 and t = 2

d = k*r*t

110 = k * 55 * 2

110 = 110k

k = 110/110

k = 1

Find r when d = 40 and t = 3

d = k*r*t

40 = 1 * r * 3

40 = 3r

r = 40/3

= 13.333333333333

Approximately,

r = 13.33

Arc measurement with equations

Answers

Answer:

thats the question?

Step-by-step explanation:

Select point B, and drag it. As you drag B, circle AB changes. Verify that you can make circle AB coincide with AC. Return B to its approximate initial position. When circle AB coincides with circle AC, what do you notice about the regions CAD and EAF? In terms of similarity, what does your observation imply about the relationships among the lengths of the radii of AB and AC and the lengths of arc EF and arc CD? Write the relationship in the form of a proportion, and explain how it follows from your observation.

Answers

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

radius of Ab/ radius of Ac= length of arc EF/ length of arc CD

Explanations will vary, but should be based on the similarity of EAF and CAD. The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

This is the exact answer so make sure you change it up a little.

Answer:

When AB coincides with AC, the boundary of EAF maps exactly onto the boundary of CAD, implying that EAF dilates into CAD. So, the boundaries of EAF and CAD are similar.

The proportional relationship may be stated in different forms, but should be equivalent to this equation:

the radius of AB /radius of AC= length of arc EF/length of arc CD

The proportional relationship follows from the fact that corresponding pairs of lengths in two similar figures have the same ratio.

Step-by-step explanation:

square root of 800 to the nearest thousandth

Answers

The answer is most likely 28.2843

Answer:

28.284

Step-by-step explanation:

I NEEDDDD HELPPPP ITS URGENTTTT!!!!!!

Answers

radius: (-3, 7)
center: 11

Which inequality is represented by this graph? ​

Answers

Answer:

x> 0

Step-by-step explanation:

There is an open circle at 0 so this means it is not equal to

The line goes to the right so x is greater than

x> 0

9. Find the zero of the polynomial in each of the following
i)f(x) = 3x- 5

Answers

Answer:

[tex]f(x) = 3x - 5[/tex]

For a zero, f(x) = 0:

[tex]{ \tt{0 = 3x - 5}} \\ { \tt{x = \frac{5}{3} }}[/tex]

Deandra is doing her math homework. She completed the first 6 problems in 2 hours and the last 12 problems in 3 hours.

Which best describes Deandra’s rate for completing her homework?
Deandra completed the first 6 problems at a rate of 6 problems per hour and the last 12 at a rate of 2 problems per hour.
Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.
Deandra completed the first 6 problems at a rate of 2 problems per hour and the last 12 at a rate of 6 problems per hour.
Deandra completed the first 6 problems at a rate of 4 problems per hour and the last 12 at a rate of 3 problems per hour.

Answers

Answer:

Deandra completed the first 6 problems at a rate of 3 problems per hour and the last 12 at a rate of 4 problems per hour.

Step-by-step explanation:

6 problems ÷ 2 hours = 3 problems per hour

12 problems ÷ 3 hours = 4 problems per hour

Answer B is the answer

Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The soccer ball.  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]

⸻⸻⸻⸻

She would have $13.68 dollars left. Her second item should be the soccer ball.

»»————- ★ ————-««  

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

It took francisco 60 minutes to walk from his house to his grandmother’s house. what is 60 written as a product of factors greater than 1? each factor can have only 1 and itself as factors.

Answers

Answer:

2 × 2 × 3 × 5

Step-by-step explanation:

Given that,

The number = 60

To find,

Factors of 60 greater than 1 = ?

Procedure:

As we know,

Any of various numbers multiplied together to form a whole.

To find the factors of a number, we will have to do its prime factorization.

So,

The prime factorization of 60:

1 * 2 * 2 * 3 * 5 = 60

Since the factors greater than 1 are asked, the factors would be;

2 * 2 * 3 * 5

Thus, 2 * 2 * 3 * 5 is the correct answer.

help me out .... I will mark u as brilliant students ​

Answers

oe which question are you figure it out

I need help to find n =

Answers

Answer:

n = √108

Step-by-step explanation:

Use similar triangles or the right triangle altitude theorem.

18/n = n/6

n^2 = 18 * 6

n^2 = 108

n = √108

Please see picture for question.

Answers

Answer:

7

Step-by-step explanation:

We know that a^b^c = a^(b*c)

7 ^ 1/5 ^ 5

7^ (1/5*5)

7^1

7

Given that
∠4

4
has a measurement of 103°, what is the measurement of
∠2

Answers

Answer:

103 = <2

Step-by-step explanation:

Angle 4 and angle 2 are vertical angles and vertical angles are equal

<4 = <2

103 = <2

Answer:

103

Step-by-step explanation:

Angle 4 and Angle 2 are congruent so they have the same value.

CAN SOMEBODY HELP ME PLS GIVE THE CORRECT ANSWER IM FAILING BUT ITs PYTHAGOREAN THEOREM

Answers

Answer:

c=65

Step-by-step explanation:

Answer:

c=65

Step-by-step explanation:

c=a2+b2=63

632+162=65

Need help on this activity!!

In this activity, you will rearrange and solve a rational equation and find and use the inverse of a rational equation.

As we’ve seen, for a circuit with two resistors arranged in parallel, we can calculate the total resistance in the circuit, , in ohms, with this equation.

Question 1
Part A
Question
Rewrite the equation to represent the resistance of resistor 2, , in terms of and .

Answers

Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

Learn more about change of subject of formula here: https://brainly.com/question/343660

BRAINLEST ID CORRECT!!!!!!

Answers

Answer:

x=11

Step-by-step explanation:

The two angles add to a right angle which is 90 degrees

35+5x = 90

Subtract 35 from each side

35+5x-35 = 90-35

5x= 55

Divide by 5

5x/5 = 55/5

x = 11

Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?

Answers

Answer:

Step-by-step explanation:

By applying tangent rule in the given right triangle AOB,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]

[tex]OA=BO(\sqrt{3})[/tex]

By applying tangent rule in the given right triangle BOC,

tan(60°) = [tex]\frac{OC}{BO}[/tex]

OC = BO(√3)

OA + OC = AC

[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]

2√3(BO) = 60

BO = 10√3

OC = BO(√3)

OC = (10√3)(√3)

OC = 30

By applying tangent rule in right triangle DOC,

tan(60°) = [tex]\frac{OD}{OC}[/tex]

OD = OC(√3)

OD = 30√3

Since, BD = BO + OD

BD = 10√3 + 30√3

BD = 40√3

      ≈ 69.3

which exponential expression is equivalent to​

Answers

Answer:

B

Step-by-step explanation:

(y^(4))^(1/5)=y^(4/5)

A traveling salesman figures it costs 28
cents for every mile he drives his car. How much does it cost him (in dollars) a week to drive his car if he travels 315 miles a week?

Answers

I can use the equation .28(m) to solve this problem. If we plug in our numbers, we will get .28(315). This will give us 88.2. 88.2 is $88.2 dollars. Therefore, it costs him $88.2 dollars a week.

See pic below! Need help solving

Answers

Answer:

383.54 m

Step-by-step explanation:

The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)

The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m

Length of rectangle (L) = 96 m

π = 3.14

The length of the training track running around the field = πd + 2(L)

Substitute the values

The length of the training track running around the field = 3.14*61 + 2(96)

= 191.54 + 192

= 383.54 m

Helpless! I need help.

Answers

I have attached the answer below

Answer:

0

Step-by-step explanation:

r=5

So

=5⁴-5(5)³-4(5)²+5(5)+75

=5⁴-5(125)-4(25)+5(5)+75

=625-625-100+25+75

=0

helpppppppp will mark brainlest​

Answers

Answer:

-8

Step-by-step explanation:

what do you think, when you look at the examples given in the problem definition ?

don't you see the pattern, that f(x) = x+2 ?

f(1) = 1+2 = 3

f(2) = 2+2 = 4

f(3) = 3+2 = 5

so, if we follow this assumption, then

f(-10) = -10 + 2 = -8

A team of 5people to be selected from 7women & 6men. Find the number of different teams that could be selected if there must be more women than men in the team

Answers

Answer:

1246 teams

Step-by-step explanation:

We are told there are 7women & 6men.

If 5 people are selected and there must be more women than men in the team.

This means there must be a minimum of 3 women.

Thus;

For 3 women;

7C3 × 6C2 = 525

For 4 women;

7C4 × 6C3 = 700

For 5 women;

7C5 × 6C0 = 21

Thus;

Total = 525 + 700 + 21 = 1246 teams

v2 = u? + 2as
u = 12
a = -3
S =
= 18
(a) Work out a value of v.

Answers

Answer:

6√7 m/s

Step-by-step explanation:

Given,

u = 12

a = - 3

s = 18

v^2 = u^2 - 2as

= 12^2 - 2 ( - 3 ) ( 18 )

= 144 + 108

v^2 = 252

v = √252

v = 6√7 m/s

Step-by-step explanation:

hope it helps you...:)....

please solve this problem


if f(x) = 2x ^ 2 - x + 1 , g(x) = x ^ 2 + 3x - 3 and f(x) = g(x) , then find the possible value of x.​

Answers

Step-by-step explanation:

Hey there!

Here;

f(x) = 2x²-x+1

g(X) = x²+3x-3

Since f(X) = g(X);

2x²-x+1 = x²+3x-3

2x²-x²-x-3x+1+3 = 0

x²-4x+4 = 0

(x-2)² = 0

Therefore, the value of X is 2.

Hope it helps!

Step-by-step explanation:

Explanation is in the attachment

Hope it helpful to you

What is the length of line segment SA

Answers

Answer:

slalalallalalalalalalalalallapapapqpqpq

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