Answer:
95cm
Step-by-step explanation:
45cm is the initial height
each year grow 10cm
growing time 5 years
45+(10 × 5)=95 cm
Answer:
4
Step-by-step explanation:
Let's set up an equation using the formula for the area of a triangle.
Hint #22 / 3
\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}
Area of a triangle
12
12
3
12
3
12
x
x
=
2
1
⋅base⋅height
=
2
1
⋅6⋅x
=3x
=
3
3x
divide both sides by 3
=
3
3
x
=
3
12
=4
Answer:
It can't be simplified
Step-by-step explanation:
<h2>
Answer:</h2>
PART A:
$ 1.80558
PART B:
$ 27.59958
<h2>
Step-by-step explanation:</h2>
- The price of an all-access ticket to the fair is $42.99 before tax.
Also,
- Roland bought the all-access ticket for 40% off.
i.e. he will have to pay (100-40)%=60% of the amount of the actual ticket.
This means that the price of ticket after the offer will be:
Hence, discounted price=$ 25.794
- Now, Ronald has to pay 7% sales tax on the discounted price.
i.e.
he has to pay 7% tax on 25.794
i.e.
PART A:
Hence, the amount of sales tax=$ 1.80588
PART B:
The total amount that he will pay for the ticket is:
Amount of tax+Discounted price
= 1.80558+25.794
= $ 27.59958
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
