A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

45.88 feet
34.88 feet
22.47 feet
19.59 feet

Answer:

-6

Step-by-step explanation:

a1= -3

r= -(3/2)/-3 = 0.5

r>-3

s= a1/1-r

= -3/1-0.5

=-6

Answer:

B

Step-by-step explanation:

For x<=0, the equation is 2x+2 and hence option B is the answer.

Answer:

Step-by-step explanation:

Area = 34.4/360⁰ * 22/7 r² = 139.6

0.30031/0.30031 r² = 139.6/0.30031

r² =√ 464.8

r = 21.560180 or 21.6

Answer:

B

Step-by-step explanation:

Pull in -4 and 0 into the variable x. and the 4 and -2 in the variable y and solve to get an equal answer.

Answer:

i don't understand the question

Answer:

a). 5√6

[tex] \sqrt{10} \times \sqrt{15} \\ = ( \sqrt{5} \times \sqrt{2} ) \times ( \sqrt{5} \times \sqrt{3} ) \\ = {( \sqrt{5}) }^{2} \times ( \sqrt{2} \times \sqrt{3} ) \\ = 5 \times ( \sqrt{6} ) \\ = 5 \sqrt{6} [/tex]

Answer: sorry

Step-by-step explanation:

767u6777

Answer:

>

Step-by-step explanation:

the less negative the greater the number

Answer:

Conversion a mixed number 2 5/

6

to a improper fraction: 2 5/6 = 2 5/

6

= 2 · 6 + 5/

6

= 12 + 5/

6

= 17/

6

To find new numerator:

a) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/

6

= 12/

6

b) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

c) Write a previous answer (new numerator 17) over the denominator 6.

Two and five sixths is seventeen sixths

Unary minus: -17/

6

= -17/

6

Conversion a mixed number 5 1/

4

to a improper fraction: 5 1/4 = 5 1/

4

= 5 · 4 + 1/

4

= 20 + 1/

4

= 21/

4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/

4

= 20/

4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Divide: -7/

8

: 21/

4

= -7/

8

· 4/

21

= -7 · 4/

8 · 21

= -28/

168

= 28 · (-1)/

28 · 6

= -1/

6

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/

4

is 4/

21

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - minus seven eighths divided by twenty-one quarters = minus one sixth.

Add: the result of step No. 2 + the result of step No. 4 = -17/

6

+ (-1/

6

) = -17 + (-1)/

6

= -18/

6

= 6 · -3/

6 · 1

= -3

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36.

In words - minus seventeen sixths plus minus one sixth = minus three.

The measure of angle FGE is 52.5°.

Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.

Thus, applying the angles of intersecting secants theorem

m∠FGE = 1/2[(100 + 35) - 30]

m∠FGE = 1/2[(105]

m∠FGE = 52.5°

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9514 1404 393

Answer:

  (8, 22)

Step-by-step explanation:

For endpoints A and B, and midpoint M, the relationship of interest is ...

  B = 2M -A

  B = 2(3, 10) -(-2, -2) = (6+2, 20+2)

  B = (8, 22)

The other end point is (8, 22).

Answer:

x=7.23

Step-by-step explanation:

Brainliest please

Answer:

x > -2

Step-by-step explanation:

14 <-7x

or, 14/-7=-7x/-7

or, -2 < x

Get the slope/tangent vectors for each line:

dP/dt = ⟨-2, -4, 5⟩

dQ/dt = ⟨3, 5, 4⟩

Take their cross product - I'll call it v :

v = ⟨-2, -4, 5⟩×⟨3, 5, 4⟩ = ⟨-41, 23, 2⟩

Normalize this vector by multiplying it by 1/||v|| :

n = v/||v|| = ⟨-41, 23, 2⟩/(3√246)

Then the distance d between P and Q is

d = |n • (⟨-2, -4, 5⟩ - ⟨4, 5, -4⟩)|

d = 1/(3√246) |⟨-41, 23, 2⟩ • ⟨-6, -9, 9⟩|

d = 1/(3√246) |246 - 207 + 18|

d = 57/(3√246)

d = 19/√246

Answer:

a or b

Step-by-step explanation:

the pictures are a little hard to tell apart but im my opinion go for a because its the closest

Answer:

A.)

Step-by-step explanation:

I took the test.

Answer:

628 mi^3

Step-by-step explanation:

the volume of a cylinder is given by:

V = base area x height

thus,

V = (3.14)(5)^2(8)

V = (3.14)(25)(8)

V = 628 mi^3

the volume of the cylinder is 628 cubic miles

The volume of the cylinder is 628 cubic miles.

We have a cylinder of radius 5 mi and height 8 mi.

We have to find the volume of the figure and round it to nearest tenth.

The volume of cylinder is given by the formula -

Volume [tex]=\pi r^{2} h[/tex]

We can use the above formula to calculate the volume of cylinder. In our case -

r = 5 mi

h = 8 mi

Substituting the values in the formula -

Volume [tex]=\pi\times5^{2}\times 8\\\\[/tex] = 628 cubic miles.

Hence, the volume of the cylinder is 628 cubic miles.

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Answer:

a) x^2-3x-4(you also can express it as (x+1)(x-4))

b)The length is 8 cm, the width is 3 cm

Step-by-step explanation:

a) The length is x+1

The width is (x+1-5)= x-4

The area is the product of the length and the width

(x+1)(x-4)= x^2-3x-4

b) The formula for counting the area is x^2-3x-4

It is equal to 24

S0 x^2-3x-4=24

x^2-3x-28=0

a=1 b=-3 c=-28

D= b^2-4ac= 3^2-4*(-28)= 9+112= 121

sqrtD= 11

x1= (-b-sqrtD)/2a=(3-11)/2=-4  The length is -4+1=-3<0, but the length must be positive, this root isn't suitable.

x2= (-b+sqrtD)/2a=(3+11)/2=7 The length is 7+1=8 (it is suitable)

8-5=3 - The width

Answer:

16 baskets

Step-by-step explanation:

Create a proportion where x is the number of baskets that Scott made:

[tex]\frac{14}{21}[/tex] = [tex]\frac{x}{24}[/tex]

Cross multiply and solve for x:

21x = 336

x = 16

So, Scott made 16 baskets.

Answer:

I need points plsss

Step-by-step explanation:

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

Answer:

136 cm^2

Step-by-step explanation:

L 7cm

W 6cm

D 2cm

7 x 6 + 6 x 2 + 2 x 7 (x 2) = 68 x 2 = 136cm^2

Answer:

(x - 2)/3

(x - 4)/-5 or (-x + 4)/5

Step-by-step explanation:

this is an inverse function, and to solve an inverse function you would :

swap x and g(x) without bringing the x coefficient with it, just simply swap the variables. Then, solve for g(x), and that's it

the first question's answer is :

g(x) = 3x + 2

x = 3(g(x)) + 2

x - 2 = 3(g(x))

(x - 2)/3 = g(x)

the second one is:

g(x) = 4 - 5x

x = 4 - 5(g(x))

x - 4 = -5(g(x))

(x-4)/-5 = g(x)

g(x) = 3x + 2

y = 3x + 2

x = 3y + 2

3y = x - 2

y = x/3 - 2/3

inverse g(x) = (x - 2) / 3

g(x) = 4 - 5x

y = 4 - 5x

x = 4 - 5y

5y = 4 - x

y = 4/5 - x/5

inverse g(x) = (4 - x) / 5

Answer:

48 - 3X

Step-by-step explanation:

( 52+2) - 3x - 6

54 - 3x - 6    So first we deal with the numbers in brackets and that is 52 + 2 giving us 54.

54 - 6 - 3x  Then you simplify the expression that is collecting like terms so then we subtract 6 from 54

48 - 3x This is the final expression after simplifying

HOPE THIS HELPED

Answer:

Step-by-step explanation:

point est. 0.307824427

99% 2.58

Confidence Interval - "P" values  

(0.2914 , 0.3243 )  

Answer:

A. 1000/1 = x/2500

Step-by-step explanation:

1000 g = 1 kg

Using ratios

1000 g         x g

------------ = --------------

1 kg             25 00 kg

Answer:

A. 1000/1 = x/2500

Step-by-step explanation:

KHD - DCM

Kilo - Hecta - Deca - Base - Deci - Centi - Mili

*When moving from left to right, each spot you pass multiplis your number by 10.

2500 kilo → x grams (base)

Proportions:

grams/kilos = x/2500

*For every 1 kilo, there is 1000 grams.

1000/1 = x/2500

Answer:

0 ≤ d ≤ 20

Step-by-step explanation:

You mention that Manatees can swim in water up to 20 feet deep. So, this means that the largest depth that he can swim is 20 feet, not more than this. Also, keep in mind that the depth can't be negative, so ----> 0 ≤ d ≤ 20 feet

We want to write an expression (an inequality actually) that defines the depth at which a manatee can swim. The inequality is: 0ft ≤ d ≤ 20ft.

We know that the manatees can swim in water up to 20 feet deep. This represents the maximum deep at which manatees can swim, the minimum is trivial, it would be 0ft (when the manatees are on the surface of the water).

Then we can write the inequality:

0ft ≤ d ≤ 20ft.

This gives the range of possible values of d, depth at which the manatee can swim.

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