A man drives 500 metres up a road which is inclined at 30° to the horizontal. How

3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with

____ [38]

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

6 0

2 years ago

Addy bought a new shirt and she had a 20% off coupon . The coupon took $8.25 off of the price of her shirt. What did she pay wit

zloy xaker [14]

Answer:

$33

Step-by-step explanation:

Given: Addy had 20% off coupon.

The coupon took $8.25 off of the shirt price.

Lets assume the original cost of shirt be "x".

We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.

∴ We can form an equation to know the original price of shirt.

⇒ $\frac{20}{100} \times x= \$ 8.25$

⇒ $\frac{1}{5} \times x= \$ 8.25$

Multiplying both side by 5

⇒ $x= 8.25\times 5$

∴ $x= \$ 41.25$

Hence, The original cost price of shirt was $41.25.

Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.

Price paid by Addy for her new shirt= $\$ 41.25- \$ 8.25= \$ 33$

Hence, Addy paid $33 for her new shirt.

8 0

2 years ago

What is the value of x?

Aleonysh [2.5K]

Answer:

x = 6

Step-by-step explanation:

We have to make the bottom eqivilent to the top.

10 + 30 = 40

5 x 6 = 30

10 + 30 = 40

8 0

2 years ago

Read 2 more answers

Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a

Phantasy [73]

Answers:

Pizza Uno = $5.25
Pizza Duo = $5.60

Those are the costs for a whole small pizza.

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

Explanation:

Let

x = cost of whole small pizza from Pizza Uno
y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

x = 5.25

Pizza Uno charges $5.25 for a whole small pizza.

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

Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

(3/4)y = 4.20

We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

y = 5.60

Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

7 0

2 years ago

Geometric sequences HELP ASAP!

Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{560}{1120}$

$r=0.5$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where a is the first term and r is the common ratio.

Putting $a=1120, r=0.5$ , we get

$a_n=1120(0.5)^{n-1}$

Therefore, the required formula for the given sequence is $a_n=1120(0.5)^{n-1}$ .

We need to find the 10th term of the given sequence. So, substituting $n=10$ in the above formula.

$a_{10}=1120(0.5)^{10-1}$

$a_{10}=1120(0.5)^{9}$

$a_{10}=1120(0.001953125)$

$a_{10}=2.1875$

Therefore, the 10th term of the given sequence is 2.1875.

6 0

2 years ago