A 13-foot ladder leaning against a building meets the side of the building exactly 12 feet above the ground. How far from the building is the base of the ladder rounded to the nearest hundredth foot?

Answers

Answer 1

Answer:

At the moment in question, we have a 5-12-13 right triangle.

x^2 + y^2 = 13^2

2x dx/dt + 2y dy/dt = 0

2(5)(2/3) + 2(12) dy/dt = 0

dy/dt = -5/18 ft/s

the area is 1/2 xy, so

da/dt = 1/2 y dx/dt + 1/2 x dy/dt

= (1/2)((12)(2/3) + (5)(-5/18))

= 119/36

Step-by-step explanation:


Related Questions

What is the value of the y-intercept of the graph of f(x) = 29(5.2)* ?

Answers

Answer:

(0,29)

Step-by-step explanation:

To find the y-intercept, substitute in

0 for x and solve for y OR use a graphing calculator.

what are the challenges of wildlife conservation in Ethiopia​

Answers

Answer:eEthiopia is the third country next to Tanzania and Uganda in terms of land surface of protected area; human-wildlife conflict, loss of biodiversity, and limited tourism and conservation attention with poor infrastructure are some of the major challenges.

Step-by-step explanation: brainilest ?

Find the unknown value: x + 9 = 16 * 6 5 7

Answers

Answer:

X=10,503

Step-by-step explanation:

x+9=16×657

X+9=10,512

X=10,512-9

X=10,503

Is it a right triangle please help!

Answers

Answer:

no

Step-by-step explanation:

Hello There!

We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem

The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared

so if it is a right triangle then

[tex]74^2=71^+24^2[/tex]

[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]

5617 is not equal to 5476 therefore the given side lengths do not form a right triangle

~TheMathWIz

Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D

Answers

Answer:

Set D

Step-by-step explanation:

There's 2 different y-values for the x value, 2 in Set D

Please help quick no Tiny links please plz plz help quick due soon I will give points no Links

Answers

Answer:

I think its B but im not sure

Step-by-step explanation:

What is the value of x in 5x = 35? *

Answers

Answer:

7

Step-by-step explanation:

Divide (x2 + 8x + 1) ÷ (x – 4) using synthetic division.

Answers

Answer:

I'm sorry i cant help you rn, download symbolab or math solver, I'm sure you will find your answer g


In the elimination method would you add or subtract the following system? (Elimi
2x+5y=-2
-2x-7y=-6
(1 Point)
Add
Subtract
(Worth 10 points)

Answers

Answer:

You will add!

Step-by-step explanation:

Words words words

Enter the volume of the right rectangular prim in cubic inches

Answers

Answer:

602 in^2

Step-by-step explanation:

To find volume, multiply length, width, and height. In this case, it is 5, 14, and 8 3/5. I used a calculator, but if not, solve it using regular multiplication. First 5 times 14 since that is easier to get out of the way, then 8 3/5, and it is easiest to treat a fraction as a decimal when multiplying, in this case it would be 0.6. I am not going to explain how I got that since you were asking how to find volume.

Someone Help Me Please

Answers

Answer:

y=-4x-5

Step-by-step explanation:

as considering (x,y) as(-2,3)this shows the perpendicularity

which of the following phrases describes the expression 2 - 2x​

Answers

Answer:c

Step-by-step explanation:cccccc

The expression (x^3) (x12) is equivalent to x^n. What is the value of n?

3 and n are exponents

Answers

Answer:

Step-by-step explanation:

(x^3) (12x)

(x^4)(12)

12x^4

We can really find the exponent without knowing what x is equal to but I hope this helps

State if the triangles in each pair of similar. If so, state how you know they are similar and complete the similarity statement.


triangle UTS~ ____

a. similar, AA, UED
b. similar, SSS, UDE
c. similar, SAS, UDE
d. not similar​

Answers

Answer:

triangle UTS~∆UED by AAA axiom

what is 1 plus 1 2+2 sara has this much how can she divide it to her 1 friend and her?

Answers

Answer: 7.5 each

Step-by-step explanation:

15/2

find the missing value no trolling please

Answers

Answer: 2

The equivalent ratios are 1:2 and 5:10

Step-by-step explanation:

427 to the nearest hundred

Answers

Answer:

400

Step-by-step explanation:

The two is less than 5 so it becomes 0 and so does the 7

400 is to the nearest hundred

5x + (1x+6)= 78
BARDZO POTRZEBUJĘ

Answers

Answer:   x = 12

Step-by-step explanation:  

1. add 5x + 1x which will equal 6x so now your equation is:  6x + 6 = 78

2. subtract 6 from 78 to get 72:  6x = 72

3. divide 72 by 6x to get your answer 12

Answer:

x = 12

Step-by-step explanation:

6x + 6 = 78

6x = 78 - 6

6x = 72

x = 72 / 6

x = 12

Mam nadzieję, że to pomoże!

A Carpenter has a board that measures 6 feet x 4 feet. a small rectangle measuring 1 foot x 1 foot is cut out of the middle how much area is left?

Answers

I think it’s 15 but I’m not to sure

What is equivalent to 4,000 centimeters? A. 4 meters B.40 meters C.400 meters D. 40,000 meters

Answers

Answer:

B. 40 meters

Step-by-step explanation:

there are 100 cm in a meter

we can divide 4,000 by 100 to see how many meters are equivalent to 4,000 cm.

4,000/100 = 40

Therefore, the answer is B. 40 meters

hope this helps :)

What expressions represent 5/6 × 5

Answers

Answer:

[tex]5 \div 6 \times 5 = 25\div 6[/tex]

25/6 is the Answer

I need help please.

Answers

Answer:

Answer is C hope this helps

Step-by-step explanation:

The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)

Answers

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

HELPPPPPP
Order the following numbers from least to greatest.
10 square number 5
10square number -99
10 square number -17
10 square number 14
10 square number -5
10 square number 30

Answers

Answer:

10^-99

10^-17

10^-5

10⁵

10¹⁴

10³⁰

Whoever responds first will get marked Best!please look at the picture!Which scenario has the same area as the given figure?
A:A triangle with a base of 6 ft and a height of 10 ft.
B:A rectangle with a base of 9 ft and a height of 10 ft.
C:A parallelogram with a base of 10ft and a height of 16 ft.
D:A triangle with a base of 7 ft and a height of 24 ft.

Answers

Answer:

D) 96 is closest

Step-by-step explanation:

12x7=84

1/2(8)(4)=16

84+16=100

A = 30

B = 45

C = 160

D = 96

What is the value of the expression
3+(2+8)^2+4*(1/2)^4

Answers

Answer:

Use photo math, it will explain it all

Use PEMDAS

First here's the expression written out a little clearer

[tex]3+(2+8)^2+4*(\frac{1}{2} )^4[/tex]

Parentheses: (2+8) = (10).

Exponents: 10^2 is 100, and [tex](\frac{1}{2} )^4[/tex] is [tex]\frac{1}{2} \cdot \frac{1}{2} \cdot \frac{1}{2} \cdot\frac{1}{2} =[/tex] [tex]\frac{1}{16}[/tex]

Multiplication and division: 4 * 1/16 is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex] simplified

Addition and subtraction: Go left to right. 3 + 100 + [tex]\frac{1}{4}[/tex] = 103.25 (final answer)

what is this figure ?

Answers

Answer:

B) rhombus

Step-by-step explanation:

the tic marks on the lines indicate that they are congruent, not parallel there is no way of knowing for sure that those lines are parallel therefore it is not a parallelogram even though it looks like it  

Adam used 6 cups of milk to fill containers that each hold 1/3 how many containers can he fill

Answers

Answer:

2

Step-by-step explanation:

Change the numbers into an improper fraction. 6/3, then simplify it.

6/3 = 2

Answer:

1/3=6. Cross multiply1×c=6×3cups filled= 18

Given f(x)= 3|2x-4|-8
find f(-3)=

Answers

Hi there!

[tex]\large\boxed{f(-3) =22 }}[/tex]

Find f(-3) by substituting in -3 for x:

f(x) = 3|2x - 4| - 8

f(-3) = 3|2(-3) - 4| - 8

Simplify:

f(-3) = 3|-6 - 4| - 8

f(-3) = 3|-10| - 8

f(-3) = 3(10) - 8 = 22

Kisi samantar shreni me pratham 6 pado ka yog 42 hai iske 10 we pad tatha 30 we pad me anupat 1:3 ka hai is samtar shereni ka pratham tatha 13 pad gyat kare​

Answers

Answer:

समांतर श्रेणी का प्रथम पद a = 2

[tex] t_{13}= 26[/tex]

Step-by-step explanation:

माना समांतर श्रेणी का प्रथम पद a और सामन्य अन्तर d है.

इसलिए..

[tex] S_6 = 42....(given) [/tex]

[tex]\therefore \frac{6}{2}\{2a + (6-1)d\}= 42 [/tex]

[tex]\therefore 3\{2a + 5d\}= 42 [/tex]

[tex]\therefore \{2a + 5d\}= \frac{42}{3} [/tex]

[tex]\therefore 2a + 5d=14...... (1)[/tex]

[tex] t_{10} : t_{30}= 1 : 3.....(given) [/tex]

[tex] \therefore \frac{t_{10}}{t_{30}} = \frac{1}{3} [/tex]

[tex] \therefore \frac{a +9d}{a+29d} = \frac{1}{3} [/tex]

[tex] 3(a + 9d) = a + 29d[/tex]

[tex] 3a + 27d = a + 29d[/tex]

[tex] 3a - a = 29d - 27d [/tex]

[tex] 2a= 2d [/tex]

[tex] a= d...... (2)[/tex]

समीकरण (1) और (2) से:

[tex]\therefore 2a + 5a=14[/tex]

[tex]\therefore 7a=14[/tex]

[tex]\therefore a=\frac{14}{7}[/tex]

[tex]\therefore a=2[/tex]

समांतर श्रेणी का प्रथम पद a = 2

a = d = 2... (समीकरण 2 से)

[tex] t_{13}= 2 + (13-1)2[/tex]

[tex] t_{13}= 2 + 12\times 2[/tex]

[tex] t_{13}= 2 + 24[/tex]

[tex] t_{13}= 26[/tex]

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