Solve for t. (Answer must be completely simplified)
10t=11

Answer:

Value of 53 is 53

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Given that:

60km in 12 seconds

Distance α time

Distance = k * time

K = constant of proportionality

Distance = 60 ; time = 12 seconds

60 = 12k

60/12 = 12k/12

5 = k

Constant of proportionality is 5

Answer:

c

Step-by-step explanation:

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years

Answers:

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

Explanation:

I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.

The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths

Focusing on triangle ACD, we can apply the tangent rule to isolate h.

tan(angle) = opposite/adjacent

tan(A) = CD/AD

tan(86.4) = h/x

x*tan(86.4) = h

h = x*tan(86.4)

We'll use this later in the substitution below.

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

Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say

tan(angle) = opposite/adjacent

tan(B) = CD/DB

tan(B) = CD/(DA+AB)

tan(85) = h/(x+60)

tan(85)*(x+60) = h

tan(85)*(x+60) = x*tan(86.4) .............  apply substitution; isolate x

x*tan(85)+60*tan(85) = x*tan(86.4)

60*tan(85) = x*tan(86.4)-x*tan(85)

60*tan(85) = x*(tan(86.4)-tan(85))

x*(tan(86.4)-tan(85)) = 60*tan(85)

x = 60*tan(85)/(tan(86.4)-tan(85))

x = 153.612786190499

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

We'll use this approximate x value to find h

h = x*tan(86.4)

h = 153.612786190499*tan(86.4)

h = 2441.60531869599

h = 2441.61 km  is how high the satellite is above the ground.

Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC

cos(angle) = adjacent/hypotenuse

cos(A) = AD/AC

cos(86.4) = x/AC

cos(86.4) = 153.612786190499/AC

AC*cos(86.4) = 153.612786190499

AC = 153.612786190499/cos(86.4)

AC = 2446.43279498247

AC = 2446.43 km is the distance from the satellite to station A.

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

Answer:

The standard deviation is the best measurement of spread for games and movies.

Answer:

-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

This should be the answer. Brainliest would be appreciated.

Answer:

A

Step-by-step explanation:

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

[tex]3x-y>2[/tex]

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

Learn more:

https://brainly.com/question/13447558?referrer=searchResults

Answer:

m = 2

Step-by-step explanation:

Plug 2 coordinates into the slope formula

(y2-y1)/(x2-x1)

For this I will choose the first and third coordinates:

15-7/5-1 = 2

The slope is 2

Answer:

radius is 7.33...

Step-by-step explanation:

I think that is the answer but i am not very sure

Answer:

The question is unclear. Please provide the table.

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function [tex]g (x) = 3x^4 - 8x^3[/tex]

The function is at a maximum at g'(x) = 0

Differentiating the function given:

[tex]g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \[/tex]

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Learn more function here: https://brainly.com/question/10439235

Answer:

your answer should be. 9+20=29

Answer:

this didn't make sense

Step-by-step explanation:

can u explain it again sorry

Answer:

Step-by-step explanation:

its f because its pretty easy

Answer:

$18,000

Step-by-step explanation:

Trust me it's right

Answer:

A

Step-by-step explanation:

i got from USATestprep

Answer:

it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)

Hope this helped!

Step-by-step explanation:

Answer:

1256m→12.56km

Step-by-step explanation:

1.256km

Answer:

Step-by-step explanation:

Subtract equation 2 from equation 1

.7x+y-(-1.5x+y)=340-320

.7x+y+1.5x-y=20

2.2x=20

x=100/11, then use this in either original equation to find y.

.7(100/11)+y=340

y=3670/11, so the balance point is

(100/11, 3670/11)

Answer:

Lowest root is 0 degrees.

Step-by-step explanation:

divide through by 9:

sec x + tan x = 1

sec^2x = 1 + tan^2 x so

√(1 + tan^2x) + tanx = 1

√(1 + tan^2x)  = 1 - tanx

Squaring both sides:

1 + tan^2 x = 1 - 2 tanx + tan^2 x

1 = 1 - 2 tan x

2tanx = 0

x = 0 degree.

Answer:

Step-by-step explanation:

perimeter=16+12+20

                = 48

Answer:

48

Step-by-step explanation:

Perimeter is all of the sides added together, so add each of the outside values together. The inside value doesn't matter in this problem.

16+12+20=48

Answer:

A: 8 x 10^6

Step-by-step explanation:

Answer:

$216 or $162    (see below)

Step-by-step explanation:

If it's 18% for 9 months (and not per year)

then

1200x0.18=$216

If it's 18% per year then

1200x0.18x0.75=$162

Answer:

400 girls.

480 boys.

Step-by-step explanation:

If the number of girls is x then the number of boys is 1.2x, so we have:

x + 1.2x = 880

2.2x = 880

x = 880/2.2

= 400.

Girls = 400, boys = 1.2*400 = 480.