Fireman Bob leans a 40 foot ladder against a building at an angle of elevation of 70'. How far is the base of the ladder from the building (round your
answer to the nearest thousandth)?
Distance from base of the building

Answers

Answer 1

Answer:

Step-by-step explanation:

40cos70 = 13.68080573... 13.681 ft.


Related Questions

help me ! ✬

work due tomorrow. i don’t understand this at all.

there’s 2 questions !


— don’t comment for points.

Answers

Answer:

32, 40

Step-by-step explanation:

See the image

Hope that helps! :)

Suppose that you borrow ​$16000 for 5 years at 8% toward the purchase of a car. Find the monthly payments and the total interest for the loan.

Answers

The total interest on the loan and monthly payments are $64,000 and $ 1,333.3 respectively

The formula for calculating the simple interest is expressed as:

I = PRT

P is the amount borrowed = $16,000R is the rate  = 8% = 0.08T is the time = 5 years

Get the interest;

I = 16,000 * 0.8 * 5

I = $64000

Amount after 5 years = 16000 + 64000

Amount after 5 years  = $80,000

Monthly payment  = 80000/60months

Monthly payment = $1,333.33

Hence the total interest on the loan and monthly payment are $64,000 and $ 1,333.3 respectively

Learn more on interest here: https://brainly.com/question/10488979

Find the area of the triangle

Answers

Solution:We know, area of a triangle = 1/2 × base × height.Here, base = (9-3) units = 6 units.Height = (5-1) units = 4 units.Therefore, area of the triangle

= (1/2 × 6 × 4) square units

= (3 × 4) square units

= 12 square units

Answer:

The area of the triangle is 12 square units.

Hope it helps.

Do comment if you have any query.

Answer:

=================================================

Explanation/Solution:

First, Identify what is the height and base of the triangle.

[tex] \rightarrow [/tex] Height = 4 units

[tex] \rightarrow [/tex] Base = 6 units

[tex] \\ [/tex]

Now to find the area of the triangle, use the formula:

[tex] \rightarrow [/tex] Area = [tex] \sf \frac{Height × Base }{2} [/tex]

Solve.

[tex] \rightarrow [/tex] = [tex] \sf \frac{4 × 6}{2} [/tex]

[tex] \rightarrow [/tex]= [tex] \sf \frac{24 }{2} [/tex]

[tex] \rightarrow [/tex] = 12

Therefore, the area of the triangle is 12 units.

=================================================

#CarryOnLearning

PLEASE HELP!!!
Given various values of the linear functions f (x) and g(x in the table, determine the y-intercept of (f − g)(x).
x −6 −4 −1 3 4
f (x) 20 14 5 −7 −10
g(x) −36 −26 −11 9 14

no links please

Answers

Answer:

Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...

Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.

Answer:

bro its -4

Step-by-step explanation:

bc f(x) has y-intercept of 2 and g(x) has y-intercept of -6 so 9 (f-g)(x) would be 2-6 = -4

so the answer is actually (0, -4)..

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.07 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

93.684

Step-by-step explanation:

They just give a 5% bonus to the price of the lunch

solve the following stystem -4x + 2y = 0 and x + y = -1

Answers

The (x, y) values are (-1/3, -2/3) respectively

ANSWER PLEASE!!! I WILL GIVE BRAINLIEST
NO BOTS OR WEBSITE LINKS

Answers

Answer:

San Francisco

Step-by-step explanation:

The cost per mile in San Francisco is 0.45 per mile, whereas it is 0.40 in New York

10(-7y-2z)+4z-2(-8z+6y) simple form

Answers

The answer to this question should be -82y

[tex]10(-7y-2z) +4z -2(-8z+6y)\\\\=-70y -20z +4z +16z - 12y\\\\=-82y -4z+4z \\\\=-82y[/tex]

Need helpPlzzzzzzzzzzzzzzzz

Answers

Answer:

2

Step-by-step explanation:

What is 3.59 rounded to the nearest whole number?

Answers

Answer:

its 4 ezy

Step-by-step explanation:

please mark as brainlists

The quotient of b and -6 is 18

Answers

The quotient is the result obtained by dividing one quantity by another.

This means that b/-6 = 18

b = 18*-6

b = -108

Answer:

b = -108

Step-by-step explanation:

Given the mathematical expression, "The quotient of b and -6 is 18":

We could represent the given mathematical expression as follows:

b ÷ -6 = 18  or   [tex]\frac{b}{-6} = 18[/tex] .

In the fraction form, [tex]\frac{b}{-6} = 18[/tex] , multiply both sides by -6 to eliminate the denominator on the left-hand side. It will also isolate b:

[tex]\frac{b}{-6} = 18[/tex]

[tex](-6)(\frac{b}{-6}) = 18(-6)[/tex]

b = -108

In order to double-check whether we have the correct value for b, simply substitute its vlaue into the equation:

[tex]\frac{-108}{-6} = 18[/tex]

18 = 18 (True statement).  

The value of b = -108, hence, the quotient of -108 and -6 is 18.  

Natural numbers are ? Integers

Answers

Answer:

natural numbers are the positive numbers that begins from 1 ...

but integers include natural numbers , it's negative and zero

Write a function in any form that would match the graph shown below

Answers

9514 1404 393

Answer:

  f(x) = 2(x +2)^2(x -5)

Step-by-step explanation:

The root at x=-2 has even multiplicity. The curve is not flat there, so the multiplicity is 2, not higher. The root at x=5 has multiplicity 1. Then the factored form of this cubic is ...

  f(x) = a(x +2)^2·(x -5)

The local minimum when a=1 is about -50, so we judge the leading coefficient to be 2. The desired function is ...

  f(x) = 2(x +2)^2(x -5)

Solve. 140% of 340 is what number?​

Answers

Answer:

The answer is 476

Step-by-step explanation:

hope this helps :)

The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?

Answers

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

3^4x-1=15
Need help with this log question

Answers

Answer:

x=16/81

Step-by-step explanation:

3^4x-1=15

81x-1=15

81x=15+1

81x+16

divide both sides by 81

x=16/81

what is 5 times 3 times 7 add 7

Answers

Answer:

5*3*7+7=112

Step-by-step explanation:

5*3*7=105+7=112

Answer: 112

Step-by-step explanation:

5 x 3 x 7 + 7

5 x 3 = 15

15 x 7 = 105

105 + 7 = 112

Answer is 112

Anne and chima are to share a sum of money in ratio 4:1.Anne obtains #6000.what is chima's share?​

Answers

Answer:

Chima would obtain 1200

A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?
5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches

Answers

Answer:

Length = 6in

Width = 4in

The formula for solving the perimeter of a rectangle is:

P = 2(L+W)

The formula for finding the area of a rectangle is:

A = L x W

If we substitute our values, we will get:

P = 2(6 + 4)

P = 2(10)

P = 20in

A = 6 x 4

A = 24in²

Given that m||n, find the value of x.

Answers

Answer:

x = 24°

Step-by-step explanation:

Using 180-degree formula, we can find x.

=> 84 + 4x = 180°

=> 4x = 180 - 84

=> 4x = 96

=> 24°

Therefore, x = 24°

Hoped this helped.

Answer:

[tex] {\boxed {\sf{x = 24 \degree}}}[/tex]

Step-by-step explanation:

In the given figure we have two consecutive interior angles.

We know that each pair of consecutive interior angles is supplementary.

So,

4x+84 = 1804x = 180 - 844x = 96x = 96/4x = 24

Therefore, x = 24°

Write a story that can be representd by the equation y=x+1/5x

Answers

Answer:

I sorry but I don't get this question

please help me
what is
28a+84b+92c=

Answers

The answer is 4(7a+21b+23c)
Combine like terms:
= 28b+84b+92c
=(28b+84b)+(92c)
=112b+92c

Answer = 112b+92c

make the subject x of the formula y = 7x + 4

Answers

Answer:

[tex]x = \frac{y - 4}{7}[/tex]

Step-by-step explanation:

[tex]y = 7x + 4 \\\\y - 4 = 7x\\\\\frac{y - 4}{7} = \frac{7x}{7}\\ \\ \frac{y - 4}{7} = x[/tex]

ABC ≃DEF. Find the lengths of the given sides

Answers

Answer:

BC = 8 and EF = 8.

Step-by-step explanation:

Since triangle ABC and DEF are congruent to each other, BC corresponds with EF (as determined by the triangle names).

Set BC and EF equal to each other.

x + 6 = 3x + 2

Subtract x from both sides.

6 = 2x + 2

Subtract 2 from both sides.

4 = 2x.

Divide 2 on both sides.

x = 2.

Substitute 2 for x.

BC = 2 + 6

BC = 8

Since we already know that EF is congruent to BC, EF is also 8.

EC = 3(2) + 2

EC = 6 + 2

EC = 8

Please please help please help me please please help me

Answers

It’s 1+1 so it it 99

Answer:

y = -6/7x - 10/7

Step-by-step explanation:

(-4,2) and (3,-4)

Slope: - 6/7

Take any point: (-4,2)

y-intercept: 2 - (- 6/7)(-4) = -10/7

Find the unknown angle in the figure

Answers

Answer:

Angle 145 degrees

Step-by-step explanation:

Hope it can help you lovelots

Evaluate the expression below if X equals three and Y equals negative 4X- Y -3+(-5y) A 16. B. -50. C. 24. D. 20

Answers

nooooooooooooooooooooooooooooo

Question: Assume you have a balance of $1000 on a credit card with an APR of 12%, or 1% per month. You start making monthly payments
of $200, but at the same time you charge an additional $100 per month to the credit card. Assume that interest for a given month is based on
the balance for the previous month. The following table shows how you can calculate your monthly balance. Complete and extend the table to
show the balance at the end of each month until the debt is paid off. How long does it take to pay off the credit carddebt?
nts
Fill out the table row by row and continue until the last full payment. Round to the nearest cent as needed.
Month
Payment
Expenses
Interest
New Balance
a
urces
0
---
$1000
es
1
$200
$100
$10
$910
4/7
fing
2
$200
$100
ection
3
$200
$100
4
$200
$100

Answers

1. The extension of the table to show the month-end balances until full debt settlement is as follows:

Month  Payment  Expenses  Interest   New Balance

0                  $0          $0            $0        $1,000

1              $200         $100       $10        $910 ($1,000 - $200 + $100 +$10)

2             $200         $100      $9.10     $819.10 ($910 - $200 + $100 + $9.10)

3             $200         $100      $8.19     $727.29 ($819.10-$200+$100+$8.19)

4             $200         $100      $7.27    $634.56 ($727.29-$200+$100+$7.27)

5             $200         $100      $6.35    $540.91 ($634.56-$200+$100+$6.35)

6             $200         $100      $5.41     $446.32 ($540.91-$200+$100+$5.41)

7             $200         $100      $4.46    $350.78 ($446.32-$200+$100+$4.46)

8            $200         $100       $3.51    $254.29 ($350.78-$200+$100+$3.51)

9            $200        $100        $2.54   $156.83 ($254.29-$200+$100+$2.54)

10          $200         $100        $1.57    $58.40 ($156.83-$200+$100+$1.57)

11           $200         $100        $0.58   ($41.02) ($58.40-$200+$100+$0.58)

Data and Calculations:

Credit card balance = $1,000

APR = 12%

Monthly APR = 1%

Monthly payments = $200

Monthly charge = $100

Learn more: https://brainly.com/question/24317087

−3 2/3=x−1 1/4 pls help

Answers

Answer:

- 2 5/12

Step-by-step explanation:

−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12

Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest​

Answers

9514 1404 393

Answer:

  D. choosing first second-, and third-place winners in a cooking contest​

Step-by-step explanation:

Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.

Cooking contest winners involve permutations.

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