All categories

3 years ago

Describe the differences between vertical and adjacent angles

1 answer:

8 0

Vertical angles are pairs of opposite made by 2 intersecting lines
and adjacent lines are 2 angles that have a common endpoint and common sides

You might be interested in

.Jim opened an account with $400. The account pays three percent quarterly. How much is in the account at the end of two years?

podryga [215]

We may have this planned like this:
two years is 8 quarters
Assuming simple interest, 
You will use the formula
A = P(1+rt) 
= 400(1+8*.03) 
= 496
I think this is the answer:) Hope it helps a lot

7 0

3 years ago

Please help, I need input on if I did this correctly and you just substitute.

kow [346]

The value of h(t) when $t=\frac{15}{32}$ is 10.02.

Solution:

Given function $h(t)=-16t^2+15t+6.5$

To find the value of h(t) when $t=\frac{15}{32}$ :

$h(t)=-16t^2+15t+6.5$

Substitute $t=\frac{15}{32}$ in the given function.

$$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5$

$$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5$

Now multiply the common terms into inside the bracket.

$$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5$

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

$$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5$

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

$$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}$

$$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}$

$$=\frac{-225+450+416}{64}$

$$=\frac{641}{64}$

= 10.02

$$h\left(\frac{15}{32} \right)=10.02$

Hence the value of h(t) when $t=\frac{15}{32}$ is 10.02.

8 0

3 years ago

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

satela [25.4K]

16 dollars each because you do 8x5 which equals 40 and do 168-40 which equals 128 / 8 equals 16

8 0

3 years ago

Read 2 more answers

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

Virty [35]

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

7 0

3 years ago

Read 2 more answers

The hypotenuse of one side of a right angled triangle are 5cm and 4cm respectively. what is the length of the other side

AURORKA [14]

Answer: 3cm

Explanation:

We can use Pythagorean’s theorem to find that other side:

a^2 + b^2 = c^2
a^2 + 4^2 = 5^2
a^2 = 25 - 16
a^2 = 9
a = 3

Therefore, the other side is 3cm

3 0

4 years ago

Read 2 more answers