A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now?

Answer:

x=8°

Step-by-step explanation:

If two sides are equal than there angles are also equal.

2x+40+5x+22+5x+22=180

12x+84=180

12x=180-84

12x=96

x=96/12

x=8°

Answer:

-3, -2 and -1

Step-by-step explanation:

Given the inequality -3(1-z)<9

Expand

-3(1)-3z <9

-3-3z <9

Add 3 to both sides

-3-3z+3<9+3

-3z<12

Divide both sides by -3

-3z/-3 >12/-3

z > -4

The required solutions are values greater than -4 and they are -3, -2 and -1

Answer:

Domain: [-3, 1)

Range: [-5. 4]

Answer:

-3x(-2)+15

Step-by-step explanation:

add the numbers

Answer:

Step-by-step explanation:

Given:

Interest amount:

Answer:

Simple interest=(Principal×Rate×Time)/100

Principal=$700, Rate=7%, & Time=3 years

→S.I. = (700×7×3)/100 = 147

Andrew has to pay a interest of $147.

Answer: it should be 14 or 10

Step-by-step explanation:

Answer:

7.5+2.13= 9.63

Step-by-step explanation:

Answer:

umm I dont see where is the angle. but for your answer, it can be obtuse, acute and right. plz show the picture to help you more

Step-by-step explanation:

Answer:

k=40

Step-by-step explanation:

subtract 12 from k we would get 28

Answer:

increase

Step-by-step explanation:

each person gets 600 out of 7200 for 12 employis

Answer:

angle c

Step-by-step explanation:

Answer:

should be angle c if im correct

Answer:

x² ≤ 16

x²-16 ≤ 0

x²-4²≤0

(x-4)(x+4) ≤ 0

-4 ≤ x ≤ 4

B. is the right answer.

ANSWER:

tan(30⁰)=√3/3

cos(30⁰)=√3/2

sin(x) /√3/2 =√3/3

3·sin(x) /√3/2 =3·√3/3

2√3 sin (x) =√3

2√3 sin (x) / 2√3 = √3 / 2√3

sin (x)= 1/2

Answer:

60 starbursts

Step-by-step explanation:

We can set up an equation to find the answer. 21/x=0.35/1 because we're trying to find how many starbursts make up 100% of the package. So then to solve, we take 21x1 and then divide that by 0.35. From this we find that x=60.

Answer: A. 7 hours

Step-by-step explanation: divide

Answer:

57.67

Step-by-step explanation:

64+1.67-8

65.67-8

57.67

Answer:

d. 80

Step-by-step explanation:

Similarity ratio of ABCD to EFGH = 4:3.

This implies that the ratio of AD to EH = 4:3

If EH = 60, then:

AD:60 = 4:3

AD/60 = 4/3

Multiply both sides by 60

AD = ⁴/3 × 60

AD = 80

Answer:

420 miles

Step-by-step explanation:

i think

420

Step-by-step explanation:

because the car is 100mph below the plane

Answer:

C

Step-by-step explanation:

They all share a common variable so you can add them all together to get the simpliest form.

Answer:

q=12+14

=26

Step-by-step explanation:

the answer would be 26

Answer:

-19

Step-by-step explanation:

60/2-7²

30-49

-19

Answer:

I believe the answer is

-7y+9/6

Answer:

-7/6 y -3/2

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

To solve the equation, you would divide both sides by 5 to get t alone. the remaining equation would be t=35.

To figure out t, you need to do division, therefore the scenario requires division.

A. You can do 175 tons of food ÷ 5 tons a day. t represents the number of days. Therefore, 175÷5=35 days. (division)

B. This would be $175 - $5 since Thomas gave his sister $5. Thomas is left with $170 in winnings. (subtraction)

C. 175 minutes are used to grade 5 tests. 175 minutes ÷ 5 tests = 35 minutes spend grading 1 test. (division)

D. Mary's bookshelf holds 175 books and the top shelf only holds 5. Therefore, 175 books - 5 books on the top shelf = 170 books on the bottom shelf (unless there are more shelves). (subtraction)

E. 175 days ÷ 5 gallons of paint a day. 175÷5 = 35 gallons of paint used. (division)

Hope this helps!

Answer:

She is going to read 116 next she is on 115 right now.

Step-by-step explanation:

Hope I helped!

Have a great day.

Answer:

8.9 units

Step-by-step explanation:

Distance between (3, -2) and (7, 6) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex].

Let,

[tex] (3, -2) = (x_1, y_1) [/tex]

[tex] (7, 6) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(7 - 3)^2 + (6 - (-2))^2} [/tex]

[tex] d = \sqrt{(4)^2 + (8)^2} [/tex]

[tex] d = \sqrt{16+ 64} [/tex]

[tex] d = \sqrt{80} = 8.9 [/tex] (nearest tenth)

Answer:

8 point 9  

i know

1.

ans= -1.8 and 3.2,

2.

ans= -5/4 and 2/3

3.

ans= 0,4 and 16

Hope it helps.

Answer:

1.  2/3 ,-5/4 , -1.8 , 3.2

2. -2  and 0

3. 4 and 16

Step-by-step explanation:

1.Rational numbers should have a numerator and a denominator. An integer should not be a decimal or a fraction.

In this case : 2/3 ,-5/4 , -1.8 , 3.2

2. Whole numbers are counting numbers. An integer can be non-negative, positive, negative or zero.

In this case : -2 , 0

3. Whole numbers remaining are ;

   4  and 16

====================================================

Explanation:

The weird looking E symbol is the greek uppercase letter sigma. It refers to a sum.

It tells us to add up terms in the form (-1)^n*(3n+2) where n is an integer ranging from n = 1 to n = 4.

------------------

If n = 1, then we have

(-1)^n*(3n+2) = (-1)^1*(3*1+2) = -5

Let A = -5 as we'll use it later.

------------------

If n = 2, then

(-1)^n*(3n+2) = (-1)^2*(3*2+2) = 8

Let B = 8 since we'll use this later as well

------------------

If n = 3, then

(-1)^n*(3n+2) = (-1)^3*(3*3+2) = -11

Let C = -11

-------------------

If n = 4, then

(-1)^n*(3n+2) = (-1)^4*(3*4+2) = 14

Let D = 14.

--------------------

We'll add up the values of A,B,C,D to get the final answer

A+B+C+D = -5+8+(-11)+14 = 6

This means that

[tex]\displaystyle \sum_{n=1}^{4}(-1)^n(3n+2) = 6[/tex]