A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 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.

Answer:

225

Step-by-step explanation:

5^-2 can be rewritten as 1/25.

Then we can divide 1/25 by 9. 9/(1/25)= 225

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

.Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

Answer:

A and D would be the correct answers

Step-by-step explanation:

Answer:

The numbers can be written as x and x + 1. Set the product of the numbers equal to 1,332 to get x(x + 1) = 1,332. You can solve the quadratic equation by using the quadratic formula, completing the square, or factoring. When you solve the quadratic equation, you find that x = –37 and 36. Since the question asked for positive integers, the only viable solution is x = 36. To solve for the larger integer, you add 1 to 36 to get an answer of 37.

Step-by-step explanation:

sample response

The first consecutive number is 36 and the second consecutive number is 37.

Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers.

Let the first consecutive number be x and the second consecutive number be (x+1).

The product of two consecutive positive integers is 1,332.

[tex]\rm x\times (x+1)=1332\\\\x^2+x=1332\\\\x^2+x-1332=0\\\\x^2+37x-36x-1332=0\\\\x(x+37)-36(x+37x)=0\\\\(x+37)(x-36)=0\\\\x+37=0, \ x=-37\\\\x-36=0, \ x=36[/tex]

(Ignoring the negative value of x).

The first consecutive number = x = 36

The second consecutive number = x+1 = 36 + 1 = 37

Hence, the first consecutive number is 36 and the second consecutive number is 37.

Learn more about consecutive numbers here;

https://brainly.com/question/12556742

#SPJ2

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards

Answer:

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex]

Step-by-step explanation:

The parameters of the angle θ₁ are;

The location of θ₁ = Quadrant II

cos(θ₁) = -22/29

We note the following;

1) The sine of an angle in quadrant II is positive

2) The cosine of an angle in quadrant II is negative,

2) The cos of an angle = The adjacent leg length to the reference angle divided by the hypotenuse length of a right triangle

3) With regards to the right triangle for finding cos(θ₁)

The adjacent leg length = -22 (The x-axis is negative in quadrant II)

The hypotenuse length = 29

The negative sign is obtained from the value of cosine in the quadrant

Therefore, by Pythagoras' theorem, for a right triangle, we have;

The opposite leg length to 'θ₁' = √(29² - 22²) = √(357)

[tex]sin\angle X = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

Therefore, we have;

[tex]sin(\theta_1) = \dfrac{\sqrt{357} }{29}[/tex].

Answer:

The cat needs to earn 3.72 pounds

Jessica has 1.35 miles to earn in the race.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

good

Answer:

150 -160

Step-by-step explanation:

I not amazing at this but i do know this is kinda hard. sorry if it is wrong

Answer:

Answer is D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

IQR means interquartile range.

first, lets organize the numbers in ascending form.

21, 23, 25, 29, 30, 31, 33, 34

the median, or the middle number is between 29 and 30.

we need to use the method Q3-Q1

find the median of the two halves.

Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)

32 - 24 = 8

the answer is 8

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

Answer:

Angle C

Step-by-step explanation:

It is an isoceles triangle.

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Answer:

Step-by-step explanation:

3. The sale price is $37.50 and the discount is $12.50 off.

You can get this by doing 25/100 = x/50 and solving the equation to find the discount and then use the discount and subtract it from the total

4. The Forever 21 dress is less because if you use the equation that we used for question 3 you can find the discount of both and then use the discount and subtract from the total.

Hope that helps!

Answer:

It’s c

Step-by-step explanation:

.1 can also be written as .10 which when you multiply by 100 is 10 so it’s also written as 10%

Answer:

1017.36cm^3

Step-by-step explanation:

9^2pi*4=1017.36

Answer:

In point form:

( -1 , 1 )

In equation form:

x  =  − 1  , y  =  1

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Answer:

tan2(x) + 1 = sin2(x)/cos2(x) + 1 = [sin2(x) + cos2(x)]/cos2(x) = 1/cos2(x) = (1/cos(x))2 = sec2(x). Thus tan2(x) + 1 = sec2(x).

Step-by-step explanation:

Answer: Not an identity

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Remember, always round sample size up, regardless of the decimal part. Answer: To find a 95% CI with a margin of error no more than ±3.5 percentage points, where the true population proportion is around 42%, you must survey at least 764 people. 10×764 = 7640; presumably the electorate is larger than that. So, then 10 × 12 = 120

Answer:

(10, 5)

Step-by-step explanation:

The circle is located at (10, 5)

Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

Method 1 : the fast method

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

Method 2 : The long method

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56