A ​15 foot ladder is leaning against a​ building, with the base of the ladder 4 feet from the building. How high up on the building will the top of the ladder​ reach?
The ladder will reach
android:
nothing ft high up on the building.
​(Round to the nearest​ tenth.)
Enter your answer in the answer box and then click Check Answer.
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Answer:

[tex]\boxed {d = 15}[/tex]

Step-by-step explanation:

Use the Distance Formula to help determine the distance between two given points:

[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]

First point: [tex](x_{1}, y_{1})[/tex]

Second point: [tex](x_{2}, y_{2})[/tex]

-Substitute both given points:

[tex](x_{1}, y_{1}) = (6, 4)[/tex]

[tex](x_{2}, y_{2}) = (-6, -5)[/tex]

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

-Solve for the distance:

[tex]d = \sqrt{(-6 - 6)^{2} + (-5 - 4)^{2}}[/tex]

[tex]d = \sqrt{(-12)^{2} + (-9)^{2}}[/tex]

[tex]d = \sqrt{144 + 81}[/tex]

[tex]d = \sqrt{225}[/tex]

[tex]\boxed {d = 15}[/tex]

Therefore, the distance is [tex]15[/tex].

Answer:

how do u know how many extraneous solutions there is?

Step-by-step explanation:

To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.

Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes

Step-by-step explanation:

Please can I have brainliest I need one more to rank up

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

Answer:

None, They are Both Equal

Step-by-step explanation:

7 2/5 = 7.4

7.4 = 7.4

So, 7.4 = 7.4

Hence, none of them are bigger

Answer:

131,040

Step-by-step explaination:

There is around 29-31 days in a month, so if you just round it's around 30 days a month.

30×6= 180 (days)

180×728= 131,040 ounces

jasons dog would drink 131,040 in 6 months.

Answer:

81.88 is the answer

Step-by-step explanation:

Answer:

1. x >/= -1

2. x < 4

3. x </= -1

4. x >/= -2

5. x < -3

6. x </= 7

Step-by-step explanation:

Answer: $2528.56  is the answer because if you do the problem you should get something like this

A=P(1+r/n)^nt

Plug in the values:

P=1400, r=6/100=0.6,

n=2 and t=10

A=1400(1+.06/2)^2(10)

A=$2528.56

Hope it helped

Yours,

Nathaniel

Step-by-step explanation:

Answer: 5 days

Step-by-step explanation:

5*7=35 - means the total amount of the days to complete the job by 1 worker is 35 days

So 7 workers can do this job in

35:7=5 days

Answer:

Step-by-step explanation:

Answer:

1650

Step-by-step explanation:

75x22+1650

( x − 1 + i ) ( x − 1 − i )

Step-by-step explanation:

_____________ (x-1+i)(x-1-i)

Since you asked how to solve this, I will put the answer at the bottom.

You might not think the same way as I but I think in steps.

The bacteria divide every 20 minutes, and will therefore divide three times every hour, 60/20 = 3.

If the bacteria grow for eleven hours, each bacterium will divide 3 times per hour × 11 hours = 33 times.

(This part is edited)

(orginial size)*2^number of divisions

10*[tex]2^{33\\}[/tex]

=85899345920

Answer:

[tex]Volume = 5028.6cm^3[/tex]

Step-by-step explanation:

Given

[tex]Height = 10cm[/tex]

[tex]Diameter = 8cm[/tex]

Required

Determine the volume

The volume of a cylinder is calculated as thus:

[tex]Volume = \pi r^2h[/tex]

Where [tex]r = radius[/tex]

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * 8cm[/tex]

[tex]r = 4cm[/tex]

[tex]h = 100cm[/tex]

Take

[tex]\pi = \frac{22}{7}[/tex], so we have

[tex]Volume = \pi r^2h[/tex]

[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]

[tex]Volume = \frac{22}{7} * 16 * 100[/tex]

[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]

[tex]Volume = \frac{35200}{7}[/tex]

[tex]Volume = 5028.6cm^3[/tex]

Answer:

multiply, add, then subtract so your answer should be 4

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(please excuse my dear aunt sally)

Answer:

I think that it is negative

Step-by-step explanation:

Answer:

Fill the blank with [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Required

Fill in the gaps

[tex]9xy * (\frac{2}{3}x)^3 = (--/--)x^4y[/tex]

Open Brackets

[tex]9xy * \frac{2^3}{3^3}x^3 = (--/--)x^4y[/tex]

[tex]9xy * \frac{8}{27}x^3 = (--/--)x^4y[/tex]

Multiply xy and x^3

[tex]9 * \frac{8}{27}x^4y = (--/--)x^4y[/tex]

[tex]\frac{9 * 8}{27}x^4y = (--/--)x^4y[/tex]

Divide fraction by 9/9

[tex]\frac{8}{3}x^4y = (--/--)x^4y[/tex]

By comparison, the blank will be filled with:

[tex]\frac{8}{3}[/tex]

Hence, the solution to the question is: [tex]9xy * (\frac{2}{3}x)^3 = \frac{8}{3}x^4y[/tex]

Answer:

3-gallon container of laundry detergent for $34.56

Step-by-step explanation:

48-fluid-ounce container of laundry detergent for  $5.28

5.28 : 48 = 0.11

check your work:  0.11 x 48 = 5.28

so for the first offer you will be paying $0.11 per ounce of laundry detergent.

3-gallon container of laundry detergent for $34.56

1 gallon = 128 ounces

3 gallons = 384 ounces

34.56 : 384 = 0.09

check your work:  0.09 x 384 = 34.56

for the second offer you will be paying $0.09 per ounce of laundry detergent. 3-gallon container of laundry detergent for $34.56 is a better buy because you will be paying less for each ounce of detergent.

hope this helps!

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

Answer:

y = -3/4x - 6

Step-by-step explanation:

Answer:28604 in total

Step-by-step explanation:

just copy and paste hope this helps

Answer:

28604 miles

Step-by-step explanation:

Just add the two numbers to get the total number of miles:

  14735

+ 13869=

  28604

Answer:

At 5% , $300 was invested

At 15%, $4,700 was invested

Step-by-step explanation:

Let the amount invested at 5% be $x and the amount invested at 15% be $y

x + y = 5000 ••••••(i)

Let’s work with the interest;

5% of x + 15% of y = 720

0.05x + 0.15y = 720 •••••(ii)

From i;

x = 5000-y

Insert this into ii

0.05(5000-y) + 0.15y = 720

= 250 - 0.05y + 0.15y = 720

250 + 0.1y = 720

0.1y = 720-250

0.1y = 470

y = 470/0.1

y = $4700

x = 5000-y

x = 5000-4700 = $300

Answer:

I'm gonna get more people here

Answer:

50 hz  yw pplz

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

y÷x 1÷2=1/2 This is the answer.

Problem 1

We're given that angle A = angle B. Also that angle B = angle C.

By the transitive property, we can say angle A = angle C.

So basically all three angles are equal to one another. Let's call that unknown angle x.

For any triangle, the three angles always add to 180, so,

x+x+x = 180

3x = 180

x = 180/3

x = 60

That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.

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

Problem 2

As mentioned in problem 1, the three angles of a triangle add to 180

A+B+C = 180

A+B+90 = 180

A+B+90-90 = 180-90

A+B = 90

This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.

Answer:

y = -1/4x + 2

Step-by-step explanation:

slope = rise over run

-1 rise for 4 run

y intercept = 2

y = -1/4x + 2

Answer:

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7

Step-by-step explanation:

Given equation of line is:

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

General form of slope-intercept equation of line is:

[tex]y=mx+b[/tex]

Comparing both we get

m = -3

The slope of two parallel line sis equal.

Let m1 be the slope of line parallel to given line, then

m1 = -3

Putting in general form

[tex]y = -3x+b[/tex]

Putting (-4,5) in equation

[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]

Putting in the general form, we get

[tex]y = -3x-7[/tex]

Hence,

The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7