A ladder leans against a house making a 30 degree angle with the ground. If the ladder touches the house at a point 10 feet high, how long is the ladder?

Answer:

s = 120

r = 33

t = 33

Step-by-step explanation:

You are solving for the variables r & t & s. Note that it is given that the two parallelograms are congruent with each other.

Make sure that they are facing the same way. Note that DC ≅ GH, AD ≅HE, FE ≅ AB

Solve:

DC ≅ GH; 70 = s - 50

Isolate the variable, note the equal sign, what you do to one side, you do to the other. Add 50 to both sides;

70 (+50) = s - 50 (+50)

s = 70 + 50

s = 120

Solve:

AD ≅ HE

2r = 66

Isolate the variable, divide 2 from both sides:

(2r)/2 = (66)/2

r = 66/2

r = 33

Solve:

FE ≅ AB

t + 50 = 83

Isolate the variable, subtract 50 from both sides:

t + 50 (-50) = 83 (-50)

t = 83 - 50

t = 33

Answer:

P(nickel or dime) = 3/4

Step-by-step explanation:

First, find the total amount of coins that there are:

6 + 14 + 16 + 4 = (20) + (20) = 40

You are trying to find P(nickel or dime). Note that there are 14 nickels, and 16 dimes. Add these two numbers together:

P(Nickel or dime) = (14 + 16)/40

P(Nickel or dime) = (30)/40

Simplify. Divide common factors from both the numerator & denominator (10)

P(Nickel or dime) = (30/40)/(10/10) = 3/4

P(nickel or dime) = 3/4

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Answer:

not a hundred percent sure since there are no graphs attached but mine was Graph 1 to be the answer

After 2 years she will have earned $12 * 2*2.3% = $12* 4.6% = 55c interest (to the nearest cent). Therefore the balance will be $12.55

After 6 years she will have earned $12 * 6*2.3% = $12* 13.8% = $1.66 interest (to the nearest cent).  

Therefore the balance will be $13.66

After 10 years she will have earned $12 * 10*2.3% = $12* 23% = $2.76 interest (to the nearest cent).  

Therefore the balance will be $14.76

Answer:

they get 8.27$ back.

Step-by-step explanation:

Cost of lunch=$7.29+$8.45+$5.99

=$21.73

3 of them put $10 each=$10×3

$30

Total change they got back=$30-$21.73

=$8.27

Mark as a brainest answer ok

Answer:

less

Step-by-step explanation:

We assume price of a shirt is $100.

Initially price is increased by 10%: 100+10=110

Then it is reduced by 10%: 110-11=99

Now price of a shirt is $99.

Answer is price of a shirt is less than it was at the start.

We can add the fractions together to compare with how much sugar she needs.

[tex]\frac{1}{2}+\frac{2}{5}=\frac{5}{10}+\frac{4}{5}=\frac{9}{10}[/tex]

So Juvi has [tex]\frac{9}{10}[/tex] cups of sugar.

She needs [tex]\frac{2}{3}[/tex] cups, so let's make the denominators the same and compare.

[tex]\frac{2}{3}=\frac{20}{30}[/tex]

[tex]\frac{9}{10}=\frac{27}{30}[/tex]

Since [tex]\frac{27}{30}[/tex] > [tex]\frac{20}{30}[/tex], she has enough sugar to make 4 batches of brownies.

Hope this helps.

頑張って!

Answer:

5 x 3 = 15

Step-by-step explanation:

x15 = 3 is impossible, because if you multiplied anything by 15 you wouldn't get 3.

Answer:

5x3= 15

Step-by-step explanation:

Answer:

- 51

Step-by-step explanation:

Order of operations. What's in the parenthesis is first.

4 + 3 ( 7+4 x 2) - 100  

Concentrate on (7 + 4 x 2 ) first.

We multiply first so 4 x 2 = 8  then we add.

(7 + 8) = 15

4 + 3(15) - 100    Again, we multiply first.

4 + 45 - 100      Now we can add and subtract in any order.

49 - 100 = - 51

n = - 99

- 213 + n = - 312

n = - 312 + 213

n = - (312 - 213)

n = - 99

If the radius is HALF of the diameter, then the expression would be 1/2r=d or d/2=r.

hope it helps!

Answer: c = -0.98

Step-by-step explanation: Differential equation of first order is an equation involving differentiable function and its derivative.

For the differential equation: [tex]xy' +2y=4x^{2}[/tex], it given a solution function:

[tex]y=x^{2}+cx^{2}[/tex]

Factorating the function: [tex]y=x^{2}(1+c)[/tex]

So, to determine constant c, use the initial condition:

When x = 10, y = 2:

[tex]2=10^{2}(1+c)[/tex]

[tex]1+c=\frac{2}{100}[/tex]

[tex]1+c=0.02[/tex]

c = -0.98

Constant c that satisfies the initial condition is c = -0.98

Answer:

two

Step-by-step explanation:

-9 and 9

Answer: Try 6

Step-by-step explanation:

The value of segment DF will be 8 units.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.

The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that the points C, D, E and F all lie on the same line segment, in that order, such that the ratio of CD: DE: EF is equal to 3 : 2: 6. If CF = 11. The value of DF will be calculated as below:-

3x + 2x + 6x = 11

11x = 11

x =1

DF = 2x + 6x

DF = 2 + 6

DF = 8

Therefore, the value of segment DF will be 8 units.

To know more about ratios and proportions follow

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Answer:

28

Step-by-step explanation:

y/4-4 =3 /×4

y-16 =12

y =12 +16

y=28

28/4 - 4 =3

7 - 4 =3

3=3

Answer:

-9h² - 12h - 3

Step-by-step explanation:

Follow the FOIL method:

FOIL = First, Outside, Inside, Last

Multiply the terms together:

First: 9h * -h = -9h²

Outside: 9h * -1 = -9h

Inside: 3 * -h = -3h

Last: 3 * -1 = -3

Combine like terms: 9h² + (-9h - 3h) - 3

9h² - 12h - 3

-9h² - 12h - 3 is your answer.

~

Answer:

L (7,-2)   M (0,-9) N (-6,5)  P (1,12)

Step-by-step explanation:

since its over the y axis the y axis numbers will be the opposite

Answer:

(-7,2),(0,9),(6,-5),(-1,-12)

(7,-2),(0,-9),(-6,5),(1,12)

(2,-7),(9,0),(-5,6),(-12,-1)

Answer:

Some

Step-by-step explanation:

The answer is Some

Answer:

some

Step-by-step explanation:

Answer:

g + 2/3 [tex]\geq[/tex] -6

Step-by-step explanation:

Answer:

For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.

Step-by-step explanation:

Answer:6x3

Step-by-step explanation:

it says 3 times as far as jena so 6x3

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

So the terms are 9a, 4b, and 18.

hope it helps!

Answer:

Step-by-step explanation:

For the terms of the expression , Sally has to write coefficients with the variables

Terms: 9a , 4b , - 18

coefficient of b is = 1

Coefficient of a term is the numerical value of the variable

Answer:

-96

192

-384

Step-by-step explanation:

Multiply by negative 2

Answer:

12

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

4/5 - 1/5

y - x

1/5y=4/5x

y=4x

Step-by-step explanation:

Let x be the width of the parking lot. Then (x + 10) is the length of the parking lot.

x(x + 10) = 600

x^2 + 10x = 600

x^2 + 10x - 600 = 0

(x+30)(x-20) = 0

x = 20 or x = -30 (rejected as x must be positive)

Hence the length is 30 yards and the width is 20 yards.

Answer:

Options 1, 2, and 5 are the correct ones

Step-by-step explanation:

Answer:y=-5x-2

Step-by-step explanation:

Answer:

x=5 y= -7

Step-by-step explanation:

y= -3x +8

-(y= -5x -2)

=> y=-3x+8

-y=5x+2

=> 0=2x+10

=> x=5

=>y=-3(5)+8

=> y= -7