A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer 1

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5


Related Questions

help please :) show work?! NO LINKS BRO

Answers

8. 85.5 cm squared
9. 45.5 cm cubed

x^2+10x-2=0
use picture as example

Answers

See answer below x=-5+3 radical 3 and x=-5-3 radical 3

Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?

Answers

Answer:

About 8.5 hours

Step-by-step explanation:

Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.

2. Find the radius of the circle.
La
12 in.

Answers

Answer:

Hello! answer: radius is 6

Step-by-step explanation:

It shows that the diameter is 12 the radius is half of that therefore the radius is 6 hope that helps!

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?

Answers

Answer:

[tex]A=830\ ft^2[/tex]

Step-by-step explanation:

Given that,

The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.

We need to find the area of this section of the deck that is shaped like a trapezoid.

The area of a trapezium is given by :

[tex]A=\dfrac{a+b}{2}\times h[/tex]

a = 37 ft, b = 46 ft and h = 20 ft

Put all the values,

[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]

So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].

Sydney currently earns 11.50 an hour working part time. What is the minimum increase per hour she needs to at least match the average annual rate of inflation at three percent

Answers

Answer:

The salary of Sydney to meet the loss due to inflation should be 11.85 per hour

Step-by-step explanation:

The inflation rate is 3%

This means that the alary amount will reduce by 3%.

3% of Sydney's hourly salary is

[tex]\frac{3}{100} *11.50[/tex] = 0.345

Hence, the new salary must increase by 0.345 dollar per hour

The salary of Sydney to meet the loss due to inflation should be 11.50 + 0.345 = 11.845 or 11.85

Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.

Answers

Answer:

do you need a graph of it or it just multiplied out step by step?

Answer:

3x^4-24x^3+72x^2-96x+48

Step-by-step explanation:

1. (x-2)^4

=(x-2)(x-2)(x-2)(x-2)

=x^4-8x^3+24x^2-32x+16

2. 3(x^4-8x^3+24x^2-32x+16)

=3x^4-24x^3+72x^2-96x+48

H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ ​ 8+6x x+4 10 ​ 4x−3 ​ , , , ​ x<−7 −7≤x<−5 x≥−5 ​

Answers

Answer:

[tex]h(-6) = -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]

Required

Determine h(-6)

To do this, we make use of:

[tex]h(x) = \frac{x + 4}{10}[/tex]

Because [tex]-7 \le -6 <-5[/tex]

So, we have:

[tex]h(x) = \frac{x + 4}{10}[/tex]

[tex]h(-6) = \frac{-6 + 4}{10}[/tex]

[tex]h(-6) = \frac{-2}{10}[/tex]

Simplify

[tex]h(-6) = -\frac{1}{5}[/tex]

is 9e+2(e+5) and 11e+5 equivalent?

Answers

No,

[tex]9e + 2(e + 5) = 11e + 10[/tex]

And 11e + 10 is not equivalent to 11e + 5

Answer:

No, its not.

9e + 2(e+5)

= 9e + 2e + 10

= 11e + 10

---> 9e+2(e+5) when simplified gives 11e + 10.

---> Therefore, its not equal to 11e + 5

Can someone plz help me with this one problem

Answers

The awswer should be 18? If it’s adding to find.

KHAN ACADEMY..... AGAIN..

Answers

Answer:

x = 12

Step-by-step explanation:

10x+24 = 6x+72

10x - 6x = 72 - 24

4x = 48

x = 12

Answer:

144

Step-by-step explanation:

10x+24=6x+72

-6x          -6x

4x+24=72

     -24  -24

4x=48

/4   /4

x=12

<A=10(12)+24

<A=120+24

<A=144

Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.

Answers

Answer:

18

Step-by-step explanation:

You would have 27 then add 7 subtract 10 and subtract 6 to get 18.

18 ...................

What is the equation for -19 = b - 6

Answers

Answer:-13=b, b=-13

Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13

Answer:

[tex]b=-13[/tex]

Step-by-step explanation:

[tex]-19 = b - 6[/tex]

Switch sides

[tex]b-6=-19[/tex]

Add 6 to both sides

[tex]b-6+6=-19+6[/tex]

Simplify

[tex]b=-13[/tex]

Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.


375, 350, 400, 375, 375, 425, 350, 125, 400


I swear I get so confused with these-

Answers

Answer:

125 is an outlier

125 changes the mean by 23 points (from 375 to 352)

Step-by-step explanation:

an outlier is 1.5 times the IQR

the InterQuartile Range of this set of data is 400-350 or 50

50 x 1.5 = 75

the only data value that is 75 points from the IQR is 125

1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?

Answers

Answer:

$400

Step-by-step explanation:

bro i keep getting it wrong so can you please tell me how to solve this not just the answer

Answers

Answer:

A

Step-by-step explanation:

since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)

$28*0.7=$19.60

Answer:

$19.60

Step-by-step explanation:

First, find 30% of $28.  :)

To do this, multiply 28 by 0.3. (30% is the same thing as 3/10 or 0.3)

28 x 0.3 = 8.4.

30% of 28 is 8.4.

Next, subtract $8.4 from $28. (Shirt on sale for 30% off)

28 - 8.4 = $19.60

Have a great day!

Please help fast if appreciate it

Answers

Answer:

In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm

The measure of an angle is 40.5°. What is the measure of its supplementary angle

Answers

Answer:

Supplementary angles add to 180 degrees. So of the measure of the angle is x, the measure of its supplement is 2x. Angle = 60, supplement = 120

Step-by-step explanation:

Answer:

139.5º

Step-by-step explanation:

The sum of supplementary angles is 180º

s + 40.5 = 180

Subtract 40.5 from both sides

s = 139.5º

The starting salary for delivery driver is 35,000 per year with a yearly increase of 3% which type of function best models this situation

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is

The starting salary for a delivery driver is $35,000 per year with a yearly increase of 3%. which type of function best models this situation? a) exponential b) linear c) quadratic d) radical

Solution

After 1 year the salary of delivery boy will be

[tex]35000 + 35000*0.03\\35000+1050\\36050[/tex]

Salary of delivery boy after 2nd year =

[tex]36050 + 36050*0.3 = 37131.5[/tex]

Salary after 3rd year

[tex]37131.5 + (37131.5*0.03) = 38245.45[/tex]

The growth in salary is linear as depicted from the values obtained.

Hence, option B is correct

can someone please help me with circle similarity?

Answers

Answer: were is your qustion at

plz make brainly

Step-by-step explanation:

katrina divided her photos into three albums. each album contains 26 photos. how many photos did katrina have to begin with

Answers

78 photos, 3X26 = 78

The length of a planet's orbit around a star is approximately 16,340,000 km. It takes the planet about 810 Earth days to complete a full orbit. What is the planet's average speed in kmh-1 to 3sf? HELP

Answers

Answer:

841 kmh-1

Step-by-step explanation:

speed = distance / time

time = 810 x 24 = 19440

16,340,000 km / 19440 = 840.535

What is the best way for a consumer to prevent unexpected fees from a new credit card?
A. study the advertisement for the credit card
B. read the fine print of the credit card agreement
C. research laws that regulate credit card companies
D. ask the credit card company for referrals from other consumers

Answers

Its c i checked and i had the same quesitok

solve for x 1.6 equals 12.8​

Answers

Answer: x=14.4

Step-by-step explanation:

X would equal 14.4.

Find the Value of x.

Answers

i got 83! hope this helps

7x+7=3x+27
What is the value of x

Answers

The value of x is equal to 5

Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =

Answers

Answer:

1/36

Step-by-step explanation:

Radioactive technetium-99m is often used in diagnostic medicine because it has relatively short half-life but lasts long enough to get the needed testing done on the patient. If its half-life is 6 hours, how much of the radioactive material from a 2.5ml injection will be in the body in 30 hours? Write your answer rounded to nearest hundredth.

Answers

Using an exponential function, it is found that 0.08 ml of the will be in the body in 30 hours.

The amount of a decaying substance is modeled by an exponential function in the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which:

A(0) is the initial amount.k is the decay rate, as a decimal.

In this problem, the half-life is 6 hours, which means that [tex]A(6) = 0.5A(0)[/tex], and this is used to find k.

[tex]A(t) = A(0)e^{-kt}[/tex]

[tex]0.5A(0) = A(0)e^{-6k}[/tex]

[tex]e^{-6k} = 0.5[/tex]

[tex]\ln{e^{-6k}} = \ln{0.5}[/tex]

[tex]-6k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{6}[/tex]

[tex]k = 0.11552453009[/tex]

Hence:

[tex]A(t) = A(0)e^{-0.11552453009t}[/tex]

2.5 ml injection, hence [tex]A(0) = 2.5[/tex]

After 30 hours, we have to find A(30), hence:

[tex]A(t) = 2.5e^{-0.11552453009t}[/tex]

[tex]A(30) = 2.5e^{-0.11552453009(30)}[/tex]

[tex]A(30) = 0.08[/tex]

0.08 ml of the will be in the body in 30 hours.

A similar problem is given at https://brainly.com/question/16984805

Is d = -4 a solution to the equation 3(d + 12) = 8 - 4d ?​

Answers

No because...

3(d+12) =8

Distribute the 3.

3d+36=8

Subtract the 36.

3d = -28

Divide by 3 to isolate d.

d = -28/3 or 9.33

Find the measure of the exterior angle.

Answers

110 degrees because the other side is equal to 70° and the line is 180 so you would subtract 70 from 180 to get you 110°

[tex] \huge{ \mathfrak{ Answer }}[/tex]

Exterior angle = sum of opposite interior angles,

so,

[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]

[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]

value of t = 50°

[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]

[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]

measure of exterior angle is 110°

[tex] \normalsize{ \#TeeNForeveR}[/tex]

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