A guy wire supporting a radio tower is positioned 145 feet up the tower.

A shop makes a profit of £2750 in March.

LiRa [457]

Answer:

15% increase

Step-by-step explanation:

2750... 10% of that is 275, add 275 to 2750 is 3025. 1% of 2750 is 27.50, you times that by 5, which is 137.50 and add that to 3025 giving you 3162.50, add the 10% with the 5% gives you 15%, that's the increase.

7 0

3 years ago

What is the area of the composite figure

kati45 [8]

To solve this we will divide the given composite figure into three figures. The three figures will be 2 squares and 1 rectangle. Let's find their areas and add them!

$\boxed{ \sf \: area \: of \: square =side ^{2} }$

Side 3 metre

$\rm \implies \: area = 3 ^{2}$

$\rm \implies9$

<em>Thus, The area of 1st square is 9m²...</em>

The area of second square will be also 9m², because the sides of both squares are equal.

<h3>Now area of the reactangle⤵️</h3>

Length = 6m
Breadth = 7+3=10m

$\sf \: area \: of \: rectangle = length \times breadtg$

$\tt \dashrightarrow \: area = 10 \times 3$

$\tt \dashrightarrow \: area = 30m ^{2}$

<em>Thus, The area of rectangle is 30m²....</em>

Now, Add area of all the figures to get the total area.

$\bf \:total \: area = 9 + 9 + 30 \\ \bf= 48m {}^{2}$

<h3><em>Therefore, The total area of the composite figure is 48m²...~</em></h3>

8 0

2 years ago

Write the general polynomial p(x) if its only zeros are 1 4 and -3 with multiplicites 3 2 and 1 respectively what is the degree

kompoz [17]

Answer:

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zero 1 with multiplicity 3.

So

$p(x) = (x-1)^3$

Zero 4 with multiplicity 2.

Considering also the zero 1 with multiplicity 3.

$p(x) = (x-1)^3(x-4)^2$

Zero -3 with multiplicity 1:

Considering the previous zeros:

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

Degree is the multiplication of the multiplicities of the zeros. So

3*2*1 = 6

The 6th degree polynomial is $p(x) = (x-1)^3(x-4)^2(x+3)$

8 0

2 years ago

Write the equation of the line that goes through the point (-2, 8) with a slope of 1/2

hram777 [196]

Answer:

The answer is Y = 1/2x + 9

Step-by-step explanation:

The general equation with a slope and intercept is:

y=mx+b

We are given a slope of 1/2, which represents the "M" part of the equation.

So we have:

Y = 1/2x + b

We do not know what "b" is, so the equation is not complete.

We plug in "-2" for X and "8" for Y:

8 = 1/2 (-2) + b

b = 9

So, the full equation is: Y = 1/2x + 9

4 0

2 years ago

Write an expression for two times the difference of eight and d

Sedaia [141]

Answer:

2(8 - d)

Step-by-step explanation:

6 0

3 years ago