A ladder leaning against a wall makes an angle of 75° with the ground. If the foot of the ladder is 6 feet from the base of the wall, what is the length of the ladder?

Answer:

The magnitude of the resultant force is: 27.40 pounds

Step-by-step explanation:

Given

[tex]F_1 = 45[/tex]

[tex]F_2 = 50[/tex]

[tex]\theta = 33[/tex]

Required

The magnitude of the resultant vector

To do this, we apply cosine formula

[tex]R^2 = F_1^2 + F_2^2 - 2 * F_1 * F_2 * \cos(\theta)[/tex]

This gives:

[tex]R^2 = 45^2 + 50^2 - 2 * 45 * 50 * \cos(33)[/tex]

[tex]R^2 = 2025+ 2500 - 4500* 0.8387[/tex]

[tex]R^2 = 2025+ 2500 - 3774.15[/tex]

[tex]R^2 = 750.85[/tex]

Take square roots of both sides

[tex]R = \sqrt{750.85\\[/tex]

[tex]R = 27.40[/tex]

Answer:

336

Step-by-step explanation:

hope this helps  sorry if not correct

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

L = 2.5 feet

Hence,

2.5 = 0.55W

W = 2.5/0.55

W = 4.5454545455 pounds

Approximately, weight of the sea turtle in pounds = 4.55 pounds

Answer:

C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

3(x+6) = 30

(x+6) = 30/3

x = 10 - 6

x = 4

Answer:

Baka T_T

3x+18=30

3x=12

x=4

Step-by-step explanation:

Answer:

a. Yes

b. 3x+7

c. 105 cm

Step-by-step explanation:

a. a(1)+b=10

   a(2)+b=13

when you solve this by elimination or simultaneously: a=3 and b=7

∴ f(x)=3x+7

b. f(x)=3x+7

c. 3(35)+7=112 cm

Answer:

about 7.3 units

Step-by-step explanation:

to find the answer you do Pythagorean theorem

so you have (-9, -4) and (-2, -6)

you do X1-X2 and Y1-Y2

so -4-(6)=2

and -9-(-2)= -7

now you do a^2 + b^2 = C^2

so 2^2 + -7^2 = C^2

which is 4 + 49= C^2

53=C^2

√53=7.3

so 7.3 units :)

Answer:

I cant see

Step-by-step explanation:

Answer:

2+5*3+6*2+7*3+8*2 = 66

66/5 = 14

mean = 14

hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

When x =3 y=-1

X =2 y =0

X=0 y =3

X = -1 y=6

So c g d f true

Answer:

F

Step-by-step explanation:

Answer:

88.7364

Step-by-step explanation:

3.14 TIMES 28.26

Answer:

I thinks it's y=3x+5

Step-by-step explanation:

try to use desmos to calculate it

Answer:

B) all real numbers expect 4pi+8pi where n is any integer

Step-by-step explanation:

The domain of the function y = tan(x/8) is given by: All real numbers except 4π+8nπ , where n is any integer.

The domain is the set that contains all possible input values for the function.

Since we know that Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:

π/2 + nπ

Hence, let a composite tangent function , the domain is given by:

f(x) does not equal to π/2 + nπ

we have that , hence the domain is:

all real numbers except 4π+8nπ

All real numbers except 4π+8nπ, where n is any integer.

More can be learned about the domain of a function at brainly.com/question/27730656

#SPJ7

Write an algebraic expression for: seven added to five times a number

Answer:

7 + 5x

Answer:

n = - [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] (1 + n) = - [tex]\frac{1}{2}[/tex] n

Multiply both sides by 6 ( the LCM of 3 and 2 ) to clear the fractions

4(1 + n) = - 3n ← distribute left side

4 + 4n = - 3n ( add 3n to both sides )

4 + 7n = 0 ( subtract 4 from both sides )

7n = - 4 ( divide both sides by 7 )

n = - [tex]\frac{4}{7}[/tex]

Answer:

answer: 521

Hope that helps!

5 less would be -5

twice a number would be *2

so the expression would be

2x - 5

Answer:

2x - 5

Step-by-step explanation:

let assume the number is x:

Therefore 2x - 5

Answer:

4.21, 4.22, 4.23,

4.24 (choose any one)

Step-by-step explanation:

since 4 1/5 is 4.20, so the numbers in between 4.20 and 4.25 are 4.21, 4.22, 4.23,

4.24 (choose any one)

Answer:

11.6

Step-by-step explanation:

F = k/ d^2

where k = proportionality constant

k = Fd^2

k = 5 * 9^2

k = 5*81 = 405

d = (K/F)^1/2

d = (405/3)^1/2

d = 11.62 =11.6

Answer:

11.62

Step-by-step explanation:

F is inversely proportional to d^2, so

[tex]F=\frac{k}{d^2}[/tex]

for some constant k.  To find  k  plug in given values for  F  and  d.

[tex]5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405[/tex]

Now you can find d for F = 3.

[tex]3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62[/tex]

Answer:

[tex]x = 9[/tex]

Step-by-step explanation:

Given

[tex]3x = 27[/tex]

Required

Solve for x

[tex]3x = 27[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{27}{3}[/tex][tex]x = \frac{27}{3}[/tex]

[tex]x = 9[/tex]

Answer and step-by-step explanation:

We know that Ned types 360 words in 6 minutes while Nate types 220 words in 4 minutes. We are then asked to find out who would type more words in 10 minutes.

To solve this, we need to first reduce the fraction of how many words can be typed to a certain amount of minutes to find how many minutes exactly can Ned and Nate type in one single minute.

Ned types 360 words in 6 minutes, our fraction would be :

[tex]\frac{360}{6}[/tex]

Nate types 220 words in 4 minutes, our fraction would be :

[tex]\frac{220}{4}[/tex]

Now divide both sides by their LCM :

Ned:

[tex]\frac{360/6}{6/6}[/tex]

Nate:

[tex]\frac{220/4}{4/4}[/tex]

Ned :

[tex]\frac{60}{1}[/tex]

Nate:

[tex]\frac{55}{1}[/tex]

This means that in one minute, Ned can type 60 words while Nate can type 55 words. Since we know that 60 is a greater number than 55, we can assume that Ned will type more words than Nate in 10 minutes.

Answer:

Step-by-step explanation:

The answer is (Sonya only) don’t know the explanation but I literally got the answer right soo trust me.

Answer:

A,B,C

Step-by-step explanation:

A.p.e.x

Answer: 140

Step-by-step explanation:

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made [tex]9+6=15[/tex] shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

[tex]P([/tex]making a shot[tex])=\frac{9}{15}=\frac{3}{5}=0.6[/tex]

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

[tex]P([/tex]making a shot[tex])+P([/tex]missing a shot) [tex]=1[/tex]

[tex]P([/tex]missing a shot[tex])=1-P([/tex]making a shot[tex])[/tex]

[tex]P([/tex]missing a shot[tex])=1-0.6=0.4[/tex]

QED

Answer:

Step-by-step explanation:

similarities:

both items (equations) have the same roots: (-1,0) and (4,0),

both items are in quadratic form

both have a relative min/max at x=1.5

differences:

both have different y-intercepts:

item 8: (0,-4)

item 9: (0,4)