solve for x ~
[tex]32x - 16 +48 = 0[/tex]



thankyou ~​

The base of the ladder and the wall forms a right triangle

The horizontal distance between the base of the ladder and the wall is 9.3 feet

The given parametes are:

Angle = 69 degrees

Length of the ladder (l) = 26 feet

The horizontal distance (h) is calculated using the following cosine ratio

cos(θ) = h/l

Substitute known values

cos(69) = h/26

Make h the subject

h = 26 * cos(69)

Evaluate the product

h = 9.3

Hence, the horizontal distance between the base of the ladder and the wall is 9.3 feet

Read more about right triangles at:

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Answer:

180-108=72.

72/3=24.

24x2=48

Answer:

Area=length×width

=12m×15m

=180m

so,the area is 180.

hope it helps!

Answer:

103.87 ft.

In this case, area equals [tex]\pi r^2[/tex]

The diameter is [tex]2r[/tex]

But before worrying about anything else, we must start the problem. Let's do that now.

The first step is to find the broken-down form of the area.

A = [tex]\frac{1}{4} \pi d^2[/tex]

Next, break this equation into a solvable definition.

[tex]\frac{1}{4} * \pi * 11.5[/tex]

Lastly, solve this equation, and round.

[tex]A[/tex] ≈ [tex]103.86891~ft^2[/tex]

The equation that represents the total number of glowlight tetras, y, in the fish tank is y = 3x.

How to form a equation?

The classroom fish tank contains x cichilds. Therefore,

number of cichilds = x

The tank contains 3-times as many glowlight tetras as cichlids.

where

y = total number  of glowlight tetras in the fish tank

Therefore, the equation that represents the total number of glowlight tetras, y, in the fish tank is as follows:

y = 3x

learn more on equation here: https://brainly.com/question/14050541

height = 10m

hope it helps...!!!

Answer:

24

Step-by-step explanation:

In triangle STU, line VT bisects angle STU.

-> By angle bisector theorem:

[tex] \frac{67}{2b} = \frac{67}{b + 24} \\ \\ \implies \: \frac{1}{2b} = \frac{1}{b + 24} \\ \\ \implies \: 2b = b + 24 \\ \\ \implies \: 2b - b = 24 \\ \\ b = 24[/tex]

The value of b is 24

If we consider a triangle TSU, Let the angle bisector of angle T intersect side SU at a point V between S and U. The angle bisector theorem states that the ratio of the length of SV to the length of VU is equal to the ratio of the length of ST to the length of TU.

i.e. [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

Here, given that, SV = 2b, VU = b+24, ST = TU = 67

∴ [tex]\frac{|SV|}{|VU|}=\frac{|ST|}{|TU|}[/tex]

⇒ [tex]\frac{2b}{b+24}=\frac{67}{67}[/tex]

⇒ [tex]\frac{2b}{b+24}=1[/tex]

⇒ 2b = b+24

⇒ b = 24

Hence, b = 24

Learn more about Angle bisector theorem here :

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Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.

Step-by-step explanation:

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

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

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

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

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Answer: 0.19s and 14.6s

Step-by-step explanation:

The distance of the ball at any time is given by the function s(t). For now, you can ignore all the details about the height of the man and the intial velocity of the ball. We only care about what time 't' will the ball be 14 feet off the ground. In math terms, they are asking when:

[tex]s(t)=14[/tex]

Where:

[tex]s(t)=-2.7t^2+40t+6.5=14[/tex]

Subtract 14 on both sides:

[tex]s(t)=-2.7t^2+40t-7.5=0[/tex]

Use the quadratic formula to solve for the variable 't'. This will give the possible time values where the ball will be 14 feet off the ground:

[tex]t=-b+\sqrt{b^2-4ac} /2a[/tex]

[tex]t=-b-\sqrt{b^2-4ac} /2a[/tex]

[tex]a=-2.7[/tex]

[tex]b=40[/tex]

[tex]c=-7.5[/tex]

Therefore:

[tex]t=(-40)+\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=0.19s[/tex]

[tex]t=-40-\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=14.6s[/tex]

This is saying the ball almost immediately hits 14 feet given the intial velocity, then it reaches its peak and falls back down to 14 feet again, where it will eventually hit the ground again

Answer:

259.15

Step-by-step explanation:

Answer:

The first one i would think might be 0.05? uncertian and probably wrong, the second, HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT, and the third, 3/8.

The way you figure out the third one is you are flipping 3 coins still, and you take all of the options above and there are 8 total and 3 ov them would land you 2 heads and a tail so its a simple 3/8 fraction

Answer:

2.  0.05

3. a) 8 outcomes (listed below)

3. b) 3/8

Step-by-step explanation:

Question 2

The sum of the probabilities of all possible outcomes is 1.

Therefore, if the probability of being on time for class is 0.95, then the probability of NOT being on time for class is:

1 - 0.95 = 0.05

Question 3

a)  8 possible outcomes of flipping 3 coins (H = heads, T = tails):

HHH     HHT     HTH     THH

TTT       TTH     THT      HTT

b)  

There are 3 possible ways of flipping 2 Heads and 1 Tail:

HHT    HTH     THH

Out of a total number of 8 possible outcomes.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\sf \implies P(2\:Heads\:and\:1\:Tail) = \dfrac38[/tex]

The volume of a sphere is the amount of space in it

The volumes of the spheres are 24416.64, 113.04 and 310181.76

The volume of a sphere is calculated using:

V = 4/3 πr^3

When the radius, r = 18, we have:

V = 4/3  * 3.14 * 18^3

V = 24416.64

When the radius, r = 3, we have:

V = 4/3  * 3.14 * 3^3

V = 113.04

When the radius, r = 42, we have:

V = 4/3  * 3.14 * 42^3

V = 310181.76

Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76

Read more about volumes at:

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Answer:

B

Step-by-step explanation:

every length of a connection between 2 points is the Hypotenuse of right-angled triangle created by the x- and y-coordinate differences of the points.

and Pythagoras is the best way to cancer the length of such a Hypotenuse.

AD² = 2² + 2² = 8

AD = sqrt(8)

AB = AD

BC² = 4² + 2² = 16 + 4 = 20

BC = sqrt(20)

CD = BC

so, the perimeter is

AD + AB + BC + CD = 2×sqrt(8) + 2×sqrt(20) =

= 14.60112616... units ≈ 14.6 units

Answer:

34,407,615

Explanation : 34 millions 407 thousands 615

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

Using the z-distribution, it is found that the minimum sample size required is of 42,190.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 96% confidence level, hence[tex]\alpha = 0.96[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.96}{2} = 0.98[/tex], so the critical value is z = 2.054.

As for the other parameters, we have that M = 0.005 and [tex]\pi = 0.5[/tex], as there are no estimates of the proportion. Hence, we solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.005 = 2.054\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.005\sqrt{n} = 2.054(0.5)[/tex]

[tex]\sqrt{n} = \frac{2.054(0.5)}{0.005}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{2.054(0.5)}{0.005}\right)^2[/tex]

[tex]n = 42189.16[/tex]

Rounding up, the minimum sample size required is of 42,190.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

2

Step-by-step explanation:

because of your options

Problem 5

Apply the Law of Sines

s/sin(S) = r/sin(R)

s/sin(78) = 10/sin(48)

s = sin(78)*10/sin(48)

s = 13.162274

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

Problem 6

Use the Law of Sines here as well.

x/sin(X) = y/sin(Y)

x/sin(53) = 6/sin(22)

x = sin(53)*6/sin(22)

x = 12.791588

Answer:

Sine Rule

[tex]\sf \dfrac{a}{sinA}=\dfrac{b}{sinB}=\dfrac{c}{sinB}[/tex]

(where A, B and C are the angles and a, b and c are the sides opposite the angles)

Question 5

[tex]\sf \implies \dfrac{s}{sin(78)}=\dfrac{10}{sin(48)}[/tex]

[tex]\sf \implies s=\dfrac{10sin(78)}{sin(48)}[/tex]

[tex]\sf \implies s=13.16227426[/tex]

s = 13.2 (nearest tenth)

Question 6

[tex]\sf \implies \dfrac{x}{sin(53)}=\dfrac{6}{sin(22)}[/tex]

[tex]\sf \implies x=\dfrac{6sin(53)}{sin(22)}[/tex]

[tex]\sf \implies x=12.79158761[/tex]

x = 12.8 (nearest tenth)

Answer: 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

first box (far left)  should be 1/6

second box should be 24

third box (far right on first equation) should be 10

p = 24

Answer:

y=-3x

Step-by-step explanation:

Answer:

600.

Well, to divide these numbers, we can use certain strategy that fits with out logic. For example, we know that 56 divided by 7 can be done mentally, because it's a simple division that can be immediately solved.

So, 56 divided by 7 is 8, then we add the two zeros to the quotient, because we isolated the first to digit to make the division easier and then we have to add back those zeros.

Therefore the division results in 600.

There are several operations that can be done by using certain strategy, like separating the number in easier parts like we did this time.

Answer:

17/24 chance for white car

Step-by-step explanation:

We know that there is a 1/6 chance that it will be green and 1/8 that it will be red so whatever's left has to be white. We can just add the fractions that we have and subtract them from one to get the probability of getting a white car.

1/6+1/8=?

Find the lowest common denominator (24)

4/24+3/24=7/24

Subtract it from 1

24/24-7/24=17/24

17/24 chance that it's white

Answer:

Mean=5, 77 Median=6 Mode=6 I hope this will help you

Answer:

y = 3x + 20

This is an equation, in slope-intercept form, which represents a the placement of a line. The 3 in the equation represents the slope of the line, and the 20 represents the y-intercept.

Answer:

E. APR

I hope this is what u want because I didn't quite get it is it like name the angle as like acute or obtuse or what

The expression that represents the total number of customers held by all three companies is 5x + 10

Systems of equations are made of several equations with unknown variables.

Let the amount of customers company B has be x

If Company C has 10 customers more than company B, then the total customers for company B is x + 10

If Company A has three times as many customers as company B, the total customers for company A is 3x

Total customers = x + 10 + x + 3x

Take the sum

Total customers = 5x + 10

Hence the expression that represents the total number of customers held by all three companies is 5x + 10

Learn more on system of equation here: https://brainly.com/question/847634