A12.5 ft ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house

Answer:

180

Step-by-step explanation:

Answer:

7.7 pallets of sod.

Step-by-step explanation:

A parallelogram-shaped field in a park needs sod. The parallelogram has a base of 27.5 meters and a height of 14 meters. The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?

Step 1

We find the area of a parallelogram

The formula is given as:

Base × Height

Hence:

The area is calculated as:

27.5 meters × 14 meters

= 385 square meters

Step 2

The sod is sold in pallets of 50 square meters. How many pallets of sod are needed to fill the field?

This is calculated as:

50 square meters = 1 pallet of sod

385 square meters = x

Cross Multiply

50 square meters × x = 385 square meters × 1 pallet

x = 385 square meters × 1 pallet/50 square meters

x = 7.7 pallets of sod.

Therefore, 7.7 pallets of sod are needed to fill the field.

Answer:

8+4

Step-by-step explanation:

Hope this is helpful ! have an amazing day... God Bless you :)

Answer:

8x + 4

Step-by-step explanation:

To answer, we have to make sure to hand out the 4 evenly so that each number or variable within the parentheses gets multiplied by 4:

4(2x + 1) = 8x + 4

As you can see, we multiplied each number inside by the number outside, and we got 8x + 4 as our answer.

Hope this helps :)

Answer:

Radical expressions must be simplified before adding or subtracting so that you are combining “like terms”. In the same way that 2x2 and 3x cannot be combined because they are not like terms, terms involving radicals cannot be combined unless the value under the radical is the same for both terms.

9514 1404 393

Answer:

  y = 2/3x -20/3

Step-by-step explanation:

The perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line:

  -1/(-3/2) = 2/3

You can use the point-slope form to write the equation of that perpendicular line.

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y +2 = 2/3(x -7) . . . . . the equation of the perpendicular line

__

This can be put into slope-intercept form by solving for y and simplifying.

  y +2 = 2/3x -14/3

  y = 2/3x -20/3

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Given:

In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.

To find:

The ratio which represents the cotangent of ∠G.

Solution:

In a right angle triangle, the ratio of the cotangent of an angle is

[tex]\cot \theta =\dfrac{Base}{Perpendicular}[/tex]

It is also written as

[tex]\cot \theta =\dfrac{Adjacent}{Opposite}[/tex]

In ΔFGH, the measure of ∠H=90°. So,

[tex]\cot G =\dfrac{HG}{FH}[/tex]

[tex]\cot G =\dfrac{80}{39}[/tex]

Therefore, the ratio for the cotangent of ∠G is [tex]\cot G=\dfrac{80}{39}[/tex].

Answer:

0.87

Step-by-step explanation:

y = ab^x

b is the rate of decay if it is between 0 and 1. Here, b = 0.87.

Answer: 0.87

Answer:

[tex]60 {?}^{2} \\ 40 \times 25 = 1000 \\ 60 \times 3 = 180 \\ 4 \times 1000 = 4000 \\ 4000 > 180 \\ = 180[/tex]

find the area of the 2 feilds and multiply by their round. pick the smaller answer

Answer:

32

Step-by-step explanation:

We need to find 12k - h² , where

Subsitute upon respective values ,

=> 12k - h² = 12*3 - 2²

=> 12k - h² = 36 - 4

=> 12k - h² = 32

Answer:

13.7%

Step-by-step explanation:

Percentage decrease = (3.65 - 3.15) / 3.65 * 100% = 13.7%

Answer:

step 2

Step-by-step explanation:

instead of subtracting 7 to the oposite side they set it aside to then later on add it towards the end.

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer:

9[tex]y^{5}[/tex][tex]w^{2}[/tex]

Step-by-step explanation:

Find what both expressions have in common

Answer:

30f+25 I hope it is a right answers

I hope this answers is useful for you

Answer:

slope is 0

Step-by-step explanation:

The slope of any horizontal line is zero, 0.

Answer: 8 students

Step-by-step explanation:

2/5 of 40 = 16

1/5 of 40 = 8

16 - 8 = 8

Answer:

It would be: a=-4b^3/3 + 50/3

Step-by-step explanation:

To evaluate: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:

1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given

2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex]   [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]

3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]    

4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]

6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result

Step-by-step explanation:

Let [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex], we proceed to prove the trigonometric expression by trigonometric identity:

1) [tex]\left(1+\frac{1}{\tan^{2}A} \right)\cdot \left(1+\frac{1}{\cot^{2}A} \right)[/tex] Given

2) [tex]\left(1+\frac{\cos^{2}A}{\sin^{2}A} \right)\cdot \left(1+\frac{\sin^{2}A}{\cos^{2}A} \right)[/tex]   [tex]\tan A = \frac{1}{\cot A} = \frac{\sin A}{\cos A}[/tex]

3) [tex]\left(\frac{\sin^{2}A+\cos^{2}A}{\sin^{2}A} \right)\cdot \left(\frac{\cos^{2}A+\sin^{2}A}{\cos^{2}A} \right)[/tex]    

4) [tex]\left(\frac{1}{\sin^{2}A} \right)\cdot \left(\frac{1}{\cos^{2}A} \right)[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

5) [tex]\frac{1}{\sin^{2}A\cdot \cos^{2}A}[/tex]

6) [tex]\frac{1}{\sin^{2}A\cdot (1-\sin^{2}A)}[/tex]    [tex]\sin^{2}A+\cos^{2}A = 1[/tex]

7) [tex]\frac{1}{\sin^{2}A-\sin^{4}A}[/tex] Result

Answer:

a :)

Step-by-step explanation:

Answer:

14units

Step-by-step explanation:

Let the vertices of a rectangle be A(3, 1), B(3, 5), C(6, 5), and D(6, 1).

Using the formula for calculating distance between two points;

AB =√(5-1)²+(3-3)²

AB = √4²

AB = 4

BC = √(5-5)²+(6-3)²

BC = √3²

BC =>3

CD = √(1-5)²+(6-6)²

CD = √(-4)²

CD = √16

CD = 4

AD= √(1-1)²+(6-3)²

AD = √3²

AD = √9

AD =3

Perimeter of the rectangle = AB+BC+BD+AD

Perimeter of the rectangle = 4+3+4+3

Perimeter of the rectangle = 14units

Answer:

y=5

Step-by-step explanation:

It has same slope of y=3, which means it is also a horizontal line. A horizontal slope will only have one y value. So, if we use the point (1, 5), we can say that the equation is y=5.

Answer:

1. If x=5, 3*5=15, 15*15=225 + y (3) = 228.

2. If y=4, then 10*4 = 40, 4^2 is 16, so 40 + 16 is 56.

I might be wrong, but the first one you answered, x^2, x= 1/2, I think that is wrong. when something is squared, you don't go, "Oh, well since 1/2 equals 1, that's the answer." The way to figure out something like this is... 1/2 times 1/2, which is .25, or 1/4. Another example: 3^5 . The way to find this out is 3*3*3*3*3 = 243. But  you don't go 3*5, because that answer would be 15, which is not correct.

Step-by-step explanation:

e. >

f. <

g. =

h. >

i. =

j. <

.....

Answer:

e. >

f. <

g. =

h. >

i. =

j. <

Answer:

Step-by-step explanation:

85°

Answer:

60

Step-by-step explanation:

All the sides are equal

Answer:

7/24

Step-by-step explanation:

in order to get the fraction, you need to add all of the books read together; you should get 120.

Then add all of the books read in even classes(2nd grade and 4th grade) and you should get 35.

Then place 35 on top of 120 to form the fraction: 35/120.

Then simplify the fraction by finding the greatest common factor, which is 5, and divide 35 and 120 by 5 to get 7 and 24.

Answer:

30/40 and 12/16 are equivalent fractions.

Answer:

c=3

Step-by-step explanation: