A telephone company has to install more than 8 miles of cable. The company has installed 2 miles of cable so far. Let X represent the number of miles of cable left to install. Write an inequality based on the situation to find the number of miles of cable the company has left to install

Answer:

225 units squared

Step-by-step explanation:

The area of a triangle is 1/2*base*height.

A = 1/2*b*h

base = 45

height = 10

Just plug into formula.

A = 1/2*(45)*(10) = 225

Answer:

1) Point A is located at 1, -3

2) T is at -2, 4, so T

Hope this helps

Answer:

Area =  l × w

=  18 × 10

=  180 centimeters2

Step-by-step explanation:

Answer:

7n=3(n-(10)

Answer= n= -15

2

Answer:

7/n = 10-3n

Step-by-step explanation:

Quotient: 7

Variable (#): N

7/n

Is: Equal sign

7/n=

Number: 10

7/n=10

Less than: -

7/n= 10-

3 times the number: 3n

7/n = 10 - 3n

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

[tex]\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}} [/tex]

So,

[tex]\sf{ β² - 4αc = 0}[/tex]

Here,

Now,

[tex]\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p²=48\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}[/tex]

[tex]\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered} [/tex]

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

Answer:

he took 4hpurs to reach him at a destination of 60miles if he drove for additional 2hours that will be 80miles

Answer:

1m wide it means in cm area of sheet = 200 cm × 100 cm=20000 cm2total number of cylinder making through sheet= area of sheet / curved surface area of a cylinder= 20000/90=222.2222 (approx)

Step-by-step explanation:

mark me brainliest!!

Answer:

B

Step-by-step explanation:2x+50+2x+30 = 180------> 4x+80=180, -80 on both sides, 4x=100 divide by 4 on both x=25 plug x back into the one you want to find which is 2x+50, so 2*25+50 = 100

The length of CD is the number of units on segment CD

Using the assumed parameters, the length of segment CD is 3 units

The question is incomplete, as the length of segment CD cannot be explicitly calculated from the given parameters.

Using a general explanation, a possible way to calculate the length of segment CD is if triangles EFG and CDE are similar triangles where segment CD and EF are similar sides.

So, we have:

CD = k * EF

Where k is the scale factor.

Assume the scale factor is 1/3, the equation becomes

CD = 1/3 * 9

CD =3

Using the assumed parameters, the length of segment CD is 3 units

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Answer:

Step-by-step explanation:radius r = 4 m

height h = 13 m

slant height s = 13.6014705 m

volume V = 217.817091 m3

lateral surface area L = 170.921119 m2

base surface area B = 50.2654825 m2

total surface area A = 221.186602 m2

Answer:

Step-by-step explanation:

The first box goes with the graph on the very right top.

The second box goes to the bottom box in the middle.

The third one is the very left top graph.

The fourth one is the middle top row one.

Answer:

1=3

2=4

3=1

4=2

Step-by-step explanation:

option 1 is the 3rd graph

option 2 is the last graph

option 3 is the 1st graph

option 4 is the 2nd graph

Answer:

y equals to 42

Step-by-step explanation:

since x=15, y will equal to 15+27

therefore, y=42

Answer:

x=48

Step-by-step explanation:

check the picture

Hello!

This is a parallelogram. It is a quadrilateral with two pairs of parallel sides. Here, the opposite angles are alternate, that is, they have togheter 180°.

Rhombus

This is a rhombus. It is a quadrilateral whose four sides all have the same length. Here, the diagonals of a rhombus intersect at equal angles.

A rhombus has opposite angles equal and the figure formed by joining the midpoints of the sides of a rhombus is a rectangle, and vice versa. It has an inscribed circle.

Good luck:)

Answer:

852

Step-by-step explanation:

2 times 10 is 20

8 times 109 is 872

You subtract the two values, 872-20=852

If Florida has a population of about 2 X 10'. The Earth has a population of about 8 X 109. Then 852  times more populated is the Earth than Florida.

Two or more expressions with an Equal sign is called as Equation.

Given that

Florida has a population of about 2 X 10'.

The Earth has a population of about 8 X 109.

We need to find  how many times more populated is the Earth than Florida.

We know that

2 times 10 is 20

and  8 times 109 is 872

To calculate how many times more populated is the Earth than Florida. we just required to subtract 872 and 20.

You subtract the two values, 872-20=852

Hence About 852 times more populated is the Earth than Florida.

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Answer:

Find the HCF of 72 and 180

Answer:

The answer is C.Standard Form. The rest are used when graphing. Hope this helps!

Let's verify all options to see which is correct.

This equation is not in point-slope form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in point-slope form.

This equation is not in slope intercept form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

This equation is in standard form because if we compare the given equation with the formula, they both will be in similar forms.

Henceforth, this equation is in standard form.

This equation is not in general form because if we compare the given equation with the formula, they both will be in different forms.

Henceforth, this equation is not in slope intercept form.

Answer:

Step-by-step explanation:

Answer:

[tex]\sqrt49[/tex]

Step-by-step explanation:

Knowing that: A rational number is a number that is in the form of p/q, which  p and q are integers, and q whom is not equal to 0. Any number that can be written as a ratio (or fraction) of two integers is a rational number.49 is a rational number because it can be expressed as the quotient of two integers: 49 ÷ 1.

Hence, the answer is [tex]\sqrt 49[/tex]

`Lenvy~

Answer:

125 = [tex]5^{x}[/tex]

Step-by-step explanation:

using the rule of logarithms

[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]

given

[tex]log_{5}[/tex] 125 = x , then

125 = [tex]5^{x}[/tex] ← in exponential form

note 125 = 5³ , then

5³ = [tex]5^{x}[/tex] ⇒ x = 3

Answer:

Step-by-step explanation:

Relationship Equation between time and shrimps cleaned : S = 4T; Relationship is inversely proportional; Unit rate of change = 4

Given : 4 Shrimps cleaned every minute.

So, Shrimps cleaned 'S' = 4 times minutes taken 'T' ; S = 4T

The relationship between variables is proportional, as the dependent variable (shrimps) is constant multiples times the independent variable (time), & their ratio remains constant.

It is directly proportional, as both variables (shrimps & time)  move in same direction. One variable increase or decrease, other variable same respectively.

Graph in this case is upward sloping curve from origin, because of  direct proportional relationship respectively.

Unit rate of change denotes constant magnitude of change in a variable with other variable. It is 4 in this case, as time increases the shrimps.

Answer:

410.0625 cm^2

Step-by-step explanation:

As this is a square, the length of all sides is equal to each other.

Then the length of one side is = 81cm/4 = 20.25cm

Then the area of the square is = 20.25cm * 20.25cm = 410.0625

Answer:

the first one i think im not 100% sure havent worked on this much

Step-by-step explanation:

Similar triangles: The corresponding angles are equal

x = 180-(38+24) = 118°

Answer:

Step-by-step explanation:

The absolute value function multiplies its argument by -1 if and only if that argument is negative.

  [tex]|x-120|=\begin{cases}-(x-120)&\text{for }(x-120) < 0\\(x-120&\text{for }(x-120)\ge0\end{cases}[/tex]

The first condition resolves to ...

  x -120 < 0   ⇒   x < 120 . . . . . matches the given condition x < -120

So, we can simplify the expression to ...

  -(x -120) = 120 -x . . . when x < -120

__

  [tex]|x-(-12)|=\begin{cases}-(x+12)&\text{for }(x+12) < 0\\(x+12)&\text{for }(x+12)\ge0\end{cases}[/tex]

The second condition resolves to ...

  x+12 ≥ 0   ⇒   x ≥ -12 . . . . . matches the given condition x > -12

So, we can simplify the expression to ...

  x +12 . . . when x > -12

_____

Additional comment

You may have noticed that the function |x -120| translates the absolute value function 120 units to the right. The condition x < -120 puts the boundary at 120 unit to the left of 0, well within the area to the left of the vertex. This is illustrated by the attached graph.

Answer:

55°

Step-by-step explanation:

[tex]m\angle X = m\angle Z[/tex] (Opposite angles of a parallelogram)

[tex]\implies m\angle X = 70\degree[/tex]

In [tex]\triangle WXY[/tex]

WX = XY (given)

[tex]\implies m\angle XWY = m\angle XYW[/tex]

(Angles opposite to equal sides are equal)

[tex]m\angle XWY = x [/tex] (Given)

[tex]\implies m\angle XYW=x[/tex]

[tex]\implies x + x + 70\degree=180\degree[/tex]

(By angle sum postulate of a triangle)

[tex]\implies 2x =180\degree-70\degree[/tex]

[tex]\implies 2x= 110\degree[/tex]

[tex]\implies x= \frac{110\degree}{2}[/tex]

[tex]\implies\huge{\orange {\boxed{ x=55\degree}}}[/tex]

Answer:

by using pythogoras theorem

we get

17² - 15² = y²

64 = y²

8²= y²

y = 8

I hope it helps ya

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

Explanation:

The notation

P( Take the bus | Junior)

is the same as writing

P( Take the bus given Junior)

I replaced the vertical bar with the word "given".

Since we're given that the person is a Junior, this means we only focus on the Juniors. There are 13+20+2 = 35 Juniors and 20 of them take the bus.

20/35 = 0.5714 approximately which rounds to 0.57

This says about 57% of the Juniors take the bus.

The probability of P(take the bus/Juniors)  is 0.57 or in percentage is 57%.

It is a branch of mathematics that deals with the occurrence of a random event.

We have to find the probability of who take the bus and they are juniors

P(take the bus/Juniors)

From the table, let us find the total number of juniors

Among juniors 13 students drive to school, 20 takes the bus and 2 come by walk

Total Juniors = 13+20+2

=35

P(take the bus/Juniors) = 20/35

Divide twenty by thirty five

=0.57

Hence, the probability of P(take the bus/Juniors)  is 0.57 or 57%.

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Answer:

3/7

Step-by-step explanation:

9 + 7 + 5 = 21

9/21 divided by 3/3

= 3/7