How many solutions to 2x/3+x/2=17/12

DO ANYONE KNOW HOW TO FIND AREAS OF RHOMBUS??

Mumz [18]

Answer:

96 cm²

Step-by-step explanation:

The area of a rhombus is usually found as half the product of the diagonals. Here, the lengths of the diagonals are 16 cm and 12 cm, so the area is ...

A = (1/2)(d1)(d2) = (1/2)(16 cm)(12 cm) = 96 cm²

_____

This is one of the area formulas it is useful to keep handy.

_____

Here, the area can also be found as 4 times the area of the marked triangle. That triangle's area is ...

A = (1/2)bh = (1/2)(8 cm)(6 cm) = 24 cm²

Four times that area is the are of the rhombus:

rhombus area = 4 × triangle area = 4 × 24 cm² = 96 cm²

3 0

4 years ago

. Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 1

Naily [24]

Answer:

$1023.74

Step-by-step explanation:

Joan wants to buy a new TV that costs $1299.99. The store has a discount on the TV for 30% off. The city Joan lives in has a 12.5% sales tax. What will be the total cost of the TV?

Step 1

We find the new price after the discount.

Discount = % Discount × Current price

= 30% × $1299.99

= $389.997

The new discounted price =

$1299.99 - $389.997

= $909.993

Step 2

We calculate the Sales tax

The city Joan lives in has a 12.5% sales tax.

Hence,

The sales tax =

12.5% × $909.993

= 12.5/100 × $909.993

= $113.749125

Step 3

The total cost of the TV is calculated as:

Sales Tax + Discounted price

= $113.749125 + $909.993

= $1023.742125

Approximately = $1023.74

The total cost of the TV = $1023.74

3 0

3 years ago

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Dmitrij [34]

Answer:

$V = \frac{450L - 6 L^{3} }{10}$

Step-by-step explanation:

The volume of a cuboid can be determined simply by the formula: V= LWH

(where: L is length, H is height and W is width).

In this particular case the base is a square, which means the length and width are equal. Hence we can modify the equation of volume:

$V = L^{2} H$

Now we need to find the value of H in terms of L. For this we can develop the equation for cost incurred in building the storage shed. We find the area of each side of the cuboid, and then we multiply it by cost per square feet to find the total cost incurred; as shown below:

Area:

Base: $L$ × $L = L^{2}$